23 files changed, 3902 insertions, 0 deletions
diff --git a/fresnel/.deps/error.Po b/fresnel/.deps/error.Po
new file mode 100644
index 0000000..1242dc9
--- /dev/null
+++ b/fresnel/.deps/error.Po
@@ -0,0 +1,334 @@
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diff --git a/fresnel/.deps/main.Po b/fresnel/.deps/main.Po
new file mode 100644
index 0000000..30c5a15
--- /dev/null
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diff --git a/fresnel/.deps/parameter.Po b/fresnel/.deps/parameter.Po
new file mode 100644
index 0000000..49ee957
--- /dev/null
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diff --git a/fresnel/.deps/propagate.Po b/fresnel/.deps/propagate.Po
new file mode 100644
index 0000000..121236d
--- /dev/null
+++ b/fresnel/.deps/propagate.Po
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+	propagate.C \
+	uhr.C \
+	utilities.C
+
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+	common.h \
+	error.h \
+	main.h \
+	parameter.h \
+	propagate.h \
+	uhr.h \
+	utilities.h 
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+dvi-am:
+
+info: info-am
+
+info-am:
+
+install-data-am: install-dist_dataDATA install-includeHEADERS
+
+install-exec-am: install-binPROGRAMS
+
+install-info: install-info-am
+
+install-man:
+
+installcheck-am:
+
+maintainer-clean: maintainer-clean-am
+
+maintainer-clean-am: distclean-am maintainer-clean-generic
+
+mostlyclean: mostlyclean-am
+
+mostlyclean-am: mostlyclean-compile mostlyclean-generic \
+	mostlyclean-libtool
+
+uninstall-am: uninstall-binPROGRAMS uninstall-dist_dataDATA \
+	uninstall-includeHEADERS uninstall-info-am
+
+.PHONY: GTAGS all all-am check check-am clean clean-binPROGRAMS \
+	clean-generic clean-libtool distclean distclean-compile \
+	distclean-depend distclean-generic distclean-libtool \
+	distclean-tags distdir dvi dvi-am info info-am install \
+	install-am install-binPROGRAMS install-data install-data-am \
+	install-dist_dataDATA install-exec install-exec-am \
+	install-includeHEADERS install-info install-info-am install-man \
+	install-strip installcheck installcheck-am installdirs \
+	maintainer-clean maintainer-clean-generic mostlyclean \
+	mostlyclean-compile mostlyclean-generic mostlyclean-libtool \
+	tags uninstall uninstall-am uninstall-binPROGRAMS \
+	uninstall-dist_dataDATA uninstall-includeHEADERS \
+	uninstall-info-am
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
diff --git a/fresnel/README b/fresnel/README
new file mode 100644
index 0000000..b09fe65
--- /dev/null
+++ b/fresnel/README
@@ -0,0 +1,28 @@
+
+		Fresnel reflectivity
+------------------------------------------------------------------------------------------
+
+This program calculates the flux of light I(t) reflected from a 
+step plasma profile.
+The laser pulse is assumed to have rectangular shape.
+
+Input parameters are 
+	- plasma frequency in units of the laser frequency
+	- incident laser amplitude (= lpic++ amplitude a0)
+	- angle of incidence
+	- polarization (s or p)
+	- pulse duration in laser cycles
+	- number of time steps per cycle
+	- output path
+These paramters are entered by editing the input file 'input.fresnel'.
+
+Results are written to file 'reflex', 'reflex-avg' and 'reflex-int'.
+	'reflex' : reflected intensity as a function of time
+	'reflex-avg' : cycle-averaged reflectivity ( <I(t)>/I0 )
+	'reflex-int' : integrand for the numerical integration, 
+                       only for those who are very much interested!                       
+
+Notice: To compare the reflected flux with lpic++ results, you have 
+	to shift the reflected flux in time corresponding to the 
+	time the laser light needs for reaching the surface and 
+	returning to the box boundary.
diff --git a/fresnel/common.h b/fresnel/common.h
new file mode 100644
index 0000000..acebd81
--- /dev/null
+++ b/fresnel/common.h
@@ -0,0 +1,57 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+///////////////////////////////////////////////////////////
+//
+// physical constants in SI units
+// mathematical constants
+// common procedures
+//
+///////////////////////////////////////////////////////////
+
+#ifndef COMMON_H
+#define COMMON_H
+
+#define C    2.9979246e+8    // m/s    velocity of light in vacuum
+#define E    1.6021773e-19   // C      electron charge
+#define M    9.1093897e-31   // kg     electron mass
+#define EPS  8.8541878e-12   // C/Vm   dielectric permability
+#define EV   1.6021773e-19   // J      electron volt
+#define HB   1.0545727e-34   // Js     Planck's h/2pi
+#define AB   5.2917726e-11   // m      Bor radius
+#define EN   4.3597483e-18   // J      atomic energy unit = 2 * 13.6 eV
+#define TI   2.4188843e-17   // s      atomic time unit = HB / EN
+
+#define PI   M_PI
+#define TINY 1e-10
+
+//----------------------------------------------------------------------------------------
+
+inline double sqr(double x) { return (x*x); };
+
+static const int filename_size = 100;
+
+#endif
+
+
+
+
+
diff --git a/fresnel/error.C b/fresnel/error.C
new file mode 100644
index 0000000..c8ab6f6
--- /dev/null
+++ b/fresnel/error.C
@@ -0,0 +1,187 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#include <error.h>
+
+int error_handler::error_number   = 0;
+int error_handler::message_number = 0;
+int error_handler::debug_number   = 0;
+int error_handler::Q_debug        = 1;
+int error_handler::object_number  = 0;
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+error_handler::error_handler(const char *name, char *error_file_name)
+{
+  errname = new char [filename_size];
+  strcpy(errname,error_file_name);
+
+  errfile.open(errname,ios::app);
+
+  if (!errfile)
+    {
+      cerr << " Cannot open " << errname << endl;
+      exit(1);
+    }
+
+  errfile.close();
+
+  my_name = name;
+  object_number++;
+
+  debug("");
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void error_handler::error(char* s1, char* s2, char *s3, char *s4)
+{
+  error_number++ ;
+
+  errfile.open(errname,ios::app);
+  errfile.setf(ios::left);
+
+  errfile << "FAILURE: " << setw(24) << my_name << "       " << s1 << ' ' << s2
+    << s3 << s4 << endl;
+
+  errfile.close();
+
+  exit(1);
+}
+
+void error_handler::error(char* s1, double d2, char *s3, char *s4)
+{
+  error_number++ ;
+
+  errfile.open(errname,ios::app);
+  errfile.setf(ios::left);
+
+    errfile << "FAILURE: " << setw(24) << my_name << "       " << s1 << ' ' << d2
+      << s3 << s4 << endl;
+
+  errfile.close();
+
+  exit(1);
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void error_handler::message(char *s1, char* s2, char* s3, char* s4)
+{
+  message_number++ ;
+
+  errfile.open(errname,ios::app);
+  errfile.setf(ios::left);
+
+  errfile << setw(33) << my_name << "       "
+    << s1   << " " << s2 << " " << s3 << " " << s4 << endl;
+
+  errfile.close();
+}
+
+void error_handler::message(char *s1, double d2,
+			    char* s3, char* s4)
+{
+  message_number++ ;
+
+  errfile.open(errname,ios::app);
+  errfile.setf(ios::left);
+
+  errfile.precision(12);
+
+  errfile << setw(33) << my_name << "       "
+    << s1 << " " << d2 << " " << s3 << " " << s4 <<endl;
+
+  errfile.close();
+}
+
+void error_handler::message(char *s1, double d2, char* s3, double d4)
+{
+  message_number++ ;
+
+  errfile.open(errname,ios::app);
+  errfile.setf(ios::left);
+
+  errfile.precision(12);
+
+  errfile << setw(33) << my_name << "       "
+    << s1 << " " << d2 << " " << s3 << " " << d4 <<endl;
+
+  errfile.close();
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void error_handler::debug(char *s1, char* s2, char* s3, char* s4)
+{
+  if (Q_debug) {
+    debug_number++ ;
+
+    errfile.open(errname,ios::app);
+    errfile.setf(ios::left);
+
+    errfile << setw(33) << my_name << " DB:" << setw(2) << object_number << " "
+      << s1   << " " << s2 << " " << s3 << " " << s4 << endl;
+
+    errfile.close();
+  }
+}
+
+void error_handler::debug(char *s1, double d2, char* s3, char* s4)
+{
+  if (Q_debug) {
+    debug_number++ ;
+
+    errfile.open(errname,ios::app);
+    errfile.setf(ios::left);
+
+    errfile.precision(12);
+
+    errfile << setw(33) << my_name << " DB:" << setw(2) << object_number << " "
+      << s1 << " " << d2 << " " << s3 << " " << s4 <<endl;
+
+    errfile.close();
+  }
+}
+
+void error_handler::debug(char *s1, double d2, char* s3, double d4)
+{
+  if (Q_debug) {
+    debug_number++ ;
+
+    errfile.open(errname,ios::app);
+    errfile.setf(ios::left);
+
+    errfile.precision(12);
+
+    errfile << setw(33) << my_name << " DB:" << setw(2) << object_number << " "
+      << s1 << " " << d2 << " " << s3 << " " << d4 <<endl;
+
+    errfile.close();
+  }
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//EOF
+
+
+
+
diff --git a/fresnel/error.h b/fresnel/error.h
new file mode 100644
index 0000000..5378c4f
--- /dev/null
+++ b/fresnel/error.h
@@ -0,0 +1,70 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#ifndef ERROR_H
+#define ERROR_H
+
+#include <common.h>
+#include <fstream>
+#include <stdio.h>
+#include <string.h>
+#include <iomanip>
+#include <stdlib.h> // <libc.h>
+#include <iostream>
+using namespace std;
+
+class error_handler {
+    static int error_number;
+    static int message_number;
+    static int Q_debug;
+    static int debug_number;
+    static int object_number;
+    const char *my_name;
+    char       *errname;
+    ofstream   errfile;
+public:
+    error_handler(const char *, char *error_file_name);
+    void error(char* s1,    char*  s2="",
+	       char* s3="", char*  s4="");
+    void error(char* s1,    double d2,
+	       char* s3="", char*  s4="");
+
+    void message(char* m1,
+		 char* m2="", char*  m3="", char* m4="");
+    void message(char* m1,    double m2,
+		 char* m3="", char*  m4="");
+    void message(char* m1   , double m2,    char* m3, double m4);
+
+    void debug(char* m1,
+	       char* m2="", char*  m3="", char* m4="");
+    void debug(char* m1,    double m2,
+	       char* m3="", char*  m4="");
+    void debug(char* m1   , double m2,    char* m3, double m4);
+};
+
+#endif
+
+
+
+
+
+
+
diff --git a/fresnel/fresnel b/fresnel/fresnel
new file mode 100755
index 0000000..e2047f3
--- /dev/null
+++ b/fresnel/fresnel
diff --git a/fresnel/main.C b/fresnel/main.C
new file mode 100644
index 0000000..bac060e
--- /dev/null
+++ b/fresnel/main.C
@@ -0,0 +1,42 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#include <main.h>
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+int main(int argc, char **argv)
+{
+    parameter            p(argc, argv);
+    propagate            prop(p);
+    static error_handler bob("main",p.errname);
+
+    prop.loop(p);
+
+    bob.message("done");
+
+    exit(0);
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//EOF
+
+
diff --git a/fresnel/main.h b/fresnel/main.h
new file mode 100644
index 0000000..6b9c413
--- /dev/null
+++ b/fresnel/main.h
@@ -0,0 +1,34 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#ifndef MAIN_H
+#define MAIN_H
+
+#include <iostream>
+#include <common.h>
+#include <error.h>
+#include <parameter.h>
+#include <propagate.h>
+
+int main(int argc, char **argv);
+
+
+#endif
diff --git a/fresnel/parameter.C b/fresnel/parameter.C
new file mode 100644
index 0000000..e7b7d2b
--- /dev/null
+++ b/fresnel/parameter.C
@@ -0,0 +1,160 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//
+// fresnel
+//
+// initializes and reads parameters
+// for documentation see 'parameter.h'
+//
+//////////////////////////////////////////////////////////////////////////////////////////
+
+#include <parameter.h>
+
+parameter::parameter(int argc, char **argv)
+{
+  plasma.wp             = 0.8;  // default parameters ////////////////////////////////////
+
+  pulse.amplitude       = 0.01;
+  pulse.angle           = 0.0;
+  pulse.polarization    = 1;
+  pulse.duration        = 60;
+
+  prop.time_start       = 0.0;
+  prop.time_stop        = 30.0;
+  prop.spp              = 50;
+
+  my_name = new(char[filename_size]);
+  strcpy(my_name,argv[0]);
+
+  path    = new char [filename_size];
+  strcpy(path,"data");
+
+  if (argc==1) { //////////////// check commandline parameters ///////////////////////////
+    cerr << "\n\n no arguments " << endl;
+  }
+  else {
+    cerr << "\n\n " << argc - 1 << " arguments" << endl << endl;
+  }
+
+  read_filename = new(char[filename_size]);
+
+  if (argc==1) { //////////// read parameters from default filename //////////////////////
+    char *fname = "input.fresnel";
+    cout << " reading from " << fname << endl;
+    read(fname);
+  }
+  else { //////////////////// read parameters from specified filename ////////////////////
+    cout << " reading from " << argv[1] << endl;
+    read(argv[1]);
+  }
+
+  /////////////////////////////////////////
+  pulse.angle_rad = PI/180 * pulse.angle;//
+  /////////////////////////////////////////
+
+  cout << " output in    " << path << endl;
+
+  sprintf( errname, "%s/error", path );
+  static error_handler bob("parameter::Constructor", errname);
+
+  save(path,errname);
+
+};
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void parameter::read(char *fname)
+{
+    Trash trash;
+    int i;
+
+    ifstream infile(fname);
+    if (!infile) {
+      cerr << "Cannot open infile: " << fname << endl;
+      cerr << "Using default parameters" << endl;
+    }
+    else {
+      cout << "reading from parameter file does not work." << endl;
+      cout << "set parameters in parameter.C" << endl;
+      exit( 0 );
+      //
+      infile >> trash >> plasma.wp;
+
+      infile >> trash >> pulse.amplitude;
+      infile >> trash >> pulse.angle;
+      infile >> trash >> pulse.polarization;
+      infile >> trash >> pulse.duration;
+
+      infile >> trash >> prop.time_start;
+      infile >> trash >> prop.time_stop;
+      infile >> trash >> prop.spp;
+
+      infile >> trash >> path;
+
+      strcpy(read_filename,fname);
+
+      infile.close();
+    }
+};
+
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+
+void parameter::save(char *path, char *errname)
+{
+    int i;
+    static error_handler bob("parameter::save",errname);
+    char *fname;
+
+    fname = new char [filename_size];
+    sprintf( fname, "%s/output.fresnel", path );
+    ofstream outfile(fname);
+    if (!outfile)
+	bob.error("Cannot open outfile: ", fname);
+
+    outfile << "fresnel parameters:" << endl << endl;
+
+    outfile << "plasma" << endl;
+    outfile << "-----------------------------------" << endl;
+    outfile << "plasma frequency   : " << plasma.wp << endl << endl;
+
+    outfile << "laser pulse" << endl;
+    outfile << "-----------------------------------" << endl;
+    outfile << "incident amplitude : " << pulse.amplitude     << endl;
+    outfile << "angle of incidence : " << pulse.angle         << endl;
+    outfile << "polarization       : " << pulse.polarization  << endl;
+    outfile << "duration           : " << pulse.duration      << endl << endl;
+
+    outfile << "propagation" << endl;
+    outfile << "-----------------------------------" << endl;
+    outfile << "time_start         : " << prop.time_start << endl;
+    outfile << "time_stop          : " << prop.time_stop  << endl;
+    outfile << "steps per period   : " << prop.spp        << endl << endl;
+
+    outfile.close();
+};
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//EOF
+
diff --git a/fresnel/parameter.h b/fresnel/parameter.h
new file mode 100644
index 0000000..0eae869
--- /dev/null
+++ b/fresnel/parameter.h
@@ -0,0 +1,86 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+/////////////////////////////////////////////
+//
+// header file, input parameters to fresnel.C
+//
+/////////////////////////////////////////////
+
+
+#ifndef PARAMETER_H
+#define PARAMETER_H
+
+#include <common.h>
+#include <error.h>
+#include <fstream>
+#include <iomanip>
+#include <string.h>
+#include <utilities.h>
+#include <math.h>
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+struct parameter  {
+
+  //--------------------------------------------------------------------------------------
+
+  struct plasma_struct {
+    double wp;                   // plasma frequency in units of laser frequency
+  } plasma;
+
+  //--------------------------------------------------------------------------------------
+
+  struct pulse_struct {
+    double amplitude;            // dimensionless laser amplitude (lpic++)
+    double angle;                // angle of incidence in degree
+    double angle_rad;            // angle of incidence in radiant
+    int    polarization;         // s=1, p=2
+    int    duration;             // pulse duration in periods
+  } pulse;
+
+  //--------------------------------------------------------------------------------------
+
+  struct propagate_struct {
+    double time_start;              // start time in periods
+    double time_stop;               // stop time in periods
+    int spp;                     // steps per period
+  } prop;
+
+  //--------------------------------------------------------------------------------------
+
+  char   *read_filename;
+  char   *my_name;
+  char   *path;
+  char   errname[filename_size];
+
+  parameter(int argc, char **argv);
+  void read(char *fname);
+  void save(char *path, char *errname);
+};
+
+//////////////////////////////////////////////////////////////////////////////////////////
+#endif
+
+
+
+
+
diff --git a/fresnel/propagate.C b/fresnel/propagate.C
new file mode 100644
index 0000000..0dae533
--- /dev/null
+++ b/fresnel/propagate.C
@@ -0,0 +1,228 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#include <propagate.h>
+
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+propagate::propagate(parameter &p)
+    : zeit(p)
+{
+  sprintf( errname, "%s/error", p.path );
+  static error_handler bob("propagate::Constructor",errname);
+
+  dt    = 1.0 / p.prop.spp;
+  dw    = 1.0 / ( p.prop.time_stop - p.prop.time_start ) / 50;
+  wmax  = 5;
+  t     = p.prop.time_start;
+  T     = p.pulse.duration;
+
+  reflex_avg = 0;
+
+  strcpy(p.errname,errname);
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void propagate::loop(parameter &p)
+{
+  static error_handler bob("propagate::loop",errname);
+
+  out_int(p);      // plot the integrand
+
+  for( t = p.prop.time_start, t_avg=0; t <= p.prop.time_stop+dt; t += dt, t_avg++ )
+    {
+      w = 0.5*dw; reflex = 0;
+      do
+	{
+	  r = reflectivity( w, p.plasma.wp, p.pulse.angle_rad, p.pulse.polarization );
+	  phi = phase( w, p.plasma.wp, p.pulse.angle_rad, p.pulse.polarization );
+	  integrand = r * ( dif((w-1)*PI*T) - dif((w+1)*PI*T) ) * sin( w*PI*(2*t-T)-phi );
+	  reflex += dw * T * integrand;
+
+	  w += dw;
+	}
+      while( w<wmax );
+
+      out(p);    // plot the flux (f(t)/f0)^2
+
+      reflex_avg += 2 * pow( reflex, 2 ) / p.prop.spp;
+
+                 // plot the ratio of time averaged fluxes once per period
+      if ( t_avg==p.prop.spp ) { out_avg(p); t_avg=0; reflex_avg=0; }
+
+      zeit.proc();              // update clock
+    }
+
+  zeit.exit();
+}
+
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+double propagate::reflectivity( double w, double wp, double angle, int polarization )
+{
+  static error_handler bob("propagate::reflectivity",errname);
+
+  if (w*cos(angle)>wp) {
+
+    double n = sqrt( 1 - pow(wp/w,2) );
+
+    rs = cos(angle) - sqrt( n*n-sin(angle)*sin(angle) );
+    rs /= ( cos(angle) + sqrt( n*n-sin(angle)*sin(angle) ) );
+
+    rp = sqrt( 1-pow(sin(angle)/n,2) ) - n*cos(angle);
+    rp /= ( sqrt( 1-pow(sin(angle)/n,2) ) + n*cos(angle) );
+  }
+  else {
+    rs = rp = 1;
+  }
+
+  if (polarization==1) return rs;
+  else                 return rp;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+double propagate::phase( double w, double wp, double angle, int polarization )
+{
+  static error_handler bob("propagate::phase",errname);
+  double brev = w*cos(angle)/wp;
+
+
+  if (brev>=1) {
+
+    double n = sqrt( 1 - pow(wp/w,2) );
+
+    phis = phip = 0;
+  }
+  else {
+
+    // from Born and Wolf, page 49
+    phis = - 2 * atan( sqrt( 1-brev*brev ) / brev );
+
+    // from Born and Wolf, page 49
+    phip = + 2 * atan( wp/w * cos(angle) * ( pow(w/wp,2)-1 ) / sqrt( 1-brev*brev ) );
+  }
+
+  if (polarization==1) return phis;
+  else                 return phip;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+double propagate::dif( double x )
+{
+  static error_handler bob("propagate::dif",errname);
+
+  if ( x==0 ) return 1;
+  else return sin(x)/x;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void propagate::out( parameter &p )
+{
+  static error_handler bob("propagate::out",errname);
+
+  char filename[filename_size];
+
+  sprintf(filename,"%s/reflex", p.path );
+
+  reflex_file.open(filename,ios::app);
+  if (!reflex_file) bob.error( "cannot open file", filename );
+
+  reflex_file.precision( 3 );
+  reflex_file.setf( ios::showpoint | ios::scientific );
+
+  reflex_file << setw(10)  << t  << setw(10) << pow( p.pulse.amplitude*reflex,2 ) << endl;
+
+  reflex_file.close();
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void propagate::out_avg( parameter &p )
+{
+  static error_handler bob("propagate::out_avg",errname);
+
+  char filename[filename_size];
+
+  sprintf(filename,"%s/reflex-avg", p.path );
+
+  reflex_file_avg.open(filename,ios::app);
+  if (!reflex_file_avg) bob.error( "cannot open file", filename );
+
+  reflex_file_avg.precision( 3 );
+  reflex_file_avg.setf( ios::showpoint | ios::scientific );
+
+  reflex_file_avg << setw(10)  << t  << setw(10) << reflex_avg << endl;
+
+  reflex_file_avg.close();
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void propagate::out_int( parameter &p )
+{
+  static error_handler bob("propagate::out_int",errname);
+
+  char filename[filename_size];
+
+  sprintf(filename,"%s/reflex-int", p.path );
+
+  reflex_file_int.open(filename,ios::app);
+  if (!reflex_file_int) bob.error( "cannot open file", filename );
+
+  reflex_file_int.precision( 3 );
+  reflex_file_int.setf( ios::showpoint | ios::scientific );
+
+  reflex_file_int << "#"
+                  << setw(12)  << "w"     << setw(13) << "r(w)"
+		  << setw(13)  << "phase"
+                  << setw(13)  << "dif()" << setw(13) << "r(w)*dif()" << endl;
+
+  w = 0; reflex = 0;
+  do
+    {
+      r = reflectivity( w, p.plasma.wp, p.pulse.angle_rad, p.pulse.polarization );
+      phi = phase( w, p.plasma.wp, p.pulse.angle_rad, p.pulse.polarization );
+      integrand = r * ( dif( (w-1)*PI*T ) - dif( (w+1)*PI*T) );
+
+      reflex_file_int << setw(13) << w
+                      << setw(13) << r
+		      << setw(13) << phi
+		      << setw(13) << dif( (w-1)*PI*T ) - dif( (w+1)*PI*T)
+		      << setw(13) << integrand << endl;
+
+      w += 5*dw;
+    }
+  while( w<2 );
+
+  reflex_file_int.close();
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//EOF
+
+
+
diff --git a/fresnel/propagate.h b/fresnel/propagate.h
new file mode 100644
index 0000000..2161f5c
--- /dev/null
+++ b/fresnel/propagate.h
@@ -0,0 +1,59 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#ifndef PROPAGATE_H
+#define PROPAGATE_H
+
+#include <common.h>
+#include <error.h>
+#include <parameter.h>
+#include <uhr.h>
+
+class propagate {
+public:
+                  propagate( parameter &p );
+    void               loop( parameter &p );
+    double     reflectivity( double w, double wp, double angle, int polarization );
+    double            phase( double w, double wp, double angle, int polarization );
+    double              dif( double x );
+    void                out( parameter &p );
+    void            out_avg( parameter &p );
+    void            out_int( parameter &p );
+
+private:
+
+    int        t_avg;
+    double     t, w, wmax;      // in periods and laser frequency, respectively
+    double     dt, dw;
+    double     r, rs, rp;       // plane wave reflectivity
+    double     phi, phis, phip; // reflected plane wave's phase
+    double     reflex;          // as a function of time for the rectangular pulse
+    double     reflex_avg;
+    double     integrand;
+    double     T;               // pulse duration in periods
+
+    uhr        zeit;
+
+    char errname[filename_size];
+    ofstream reflex_file, reflex_file_avg, reflex_file_int;
+};
+#endif
+
diff --git a/fresnel/uhr.C b/fresnel/uhr.C
new file mode 100644
index 0000000..d395eeb
--- /dev/null
+++ b/fresnel/uhr.C
@@ -0,0 +1,105 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#include <uhr.h>
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+uhr::uhr( parameter &p )
+{
+  sprintf( errname, "%s/error", p.path );
+  error_handler bob("uhr::Constructor",errname);
+
+  start_clock = clock();
+  start_time  = time( &start_time );
+
+  h_cpu = m_cpu = s_cpu = 0;
+  h_sys = m_sys = s_sys = 0;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void uhr::proc( void )
+{
+  double h, m, s;
+
+  stop_clock = clock();
+
+  if ( stop_clock - start_clock > 0 )
+    {
+      m = 60.0*modf( (double)( stop_clock - start_clock ) / CLOCKS_PER_SEC/3600, &h );
+      s = 60.0*modf( m, &m );
+
+      s_cpu += s;
+      if ( s_cpu >= 60 ) { s_cpu -= 60; m_cpu += 1; }
+
+      m_cpu += m;
+      if ( m_cpu >= 60 ) { m_cpu -= 60; h_cpu += 1; }
+
+      h_cpu += h;
+    }
+
+  start_clock = stop_clock;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void uhr::sys( void )
+{
+  time(&stop_time);
+
+  m_sys = 60*modf( difftime(stop_time,start_time)/3600, &(h_sys) );
+  s_sys = 60*modf( m_sys, &(m_sys) );
+
+  if ( m_sys>= 60 ) { m_sys -= 60; h_sys += 1; }
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void uhr::init( void )
+{
+  start_clock = clock();
+  start_time  = time( &start_time );
+
+  h_cpu = m_cpu = s_cpu = 0;
+  h_sys = m_sys = s_sys = 0;
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void uhr::exit( void )
+{
+  proc();
+  sys();
+
+  printf( "\n proc " );
+  printf( "%02.0f:", h_cpu );
+  printf( "%02.0f:", m_cpu );
+  printf( "%05.2f ", s_cpu );
+  printf( " sys " );
+  printf( "%02.0f:", h_sys );
+  printf( "%02.0f:", m_sys );
+  printf( "%02.0f ", s_sys );
+  printf( "\n\n" );
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+//EOF
diff --git a/fresnel/uhr.h b/fresnel/uhr.h
new file mode 100644
index 0000000..43eab56
--- /dev/null
+++ b/fresnel/uhr.h
@@ -0,0 +1,52 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#ifndef UHR_H
+#define UHR_H
+
+#include <time.h>
+#include <math.h>
+#include <stdio.h>
+#include <fstream>
+#include <iomanip>
+#include <error.h>
+#include <parameter.h>
+
+class uhr {
+ private:
+
+  double h_cpu, m_cpu, s_cpu;                // total time
+  double h_sys, m_sys, s_sys;                // intermediate time
+  clock_t start_clock, stop_clock;           // clock ticks
+  time_t  start_time, stop_time;             // system time
+  char errname[filename_size];
+
+ public:
+
+  uhr( parameter &p );
+  void       proc( void );
+  void        sys( void );
+  void       init( void );
+  void       exit( void );
+};
+
+
+#endif
diff --git a/fresnel/utilities.C b/fresnel/utilities.C
new file mode 100644
index 0000000..918439b
--- /dev/null
+++ b/fresnel/utilities.C
@@ -0,0 +1,162 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#include <utilities.h>
+
+#define NR_END 1
+#define FREE_ARG char*
+
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+void error(char* s1, char* s2, char *s3, char *s4)
+{
+  cout << "FAILURE: " << s1 << ' ' << s2 << s3 << s4 << endl;
+
+  exit(1);
+}
+
+void error(char* s1, double d2, char *s3, char *s4)
+{
+  cout << "FAILURE: " << s1 << ' ' << d2 << s3 << s4 << endl;
+
+  exit(1);
+}
+
+//////////////////////////////////////////////////////////////////////////////////////////
+
+double **dmatrix(long nrl, long nrh, long ncl, long nch)
+// allocate a double matrix with subscript range m[nrl..nrh][ncl..nch]
+{
+  long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
+  double **m;
+
+  // allocate pointers to rows
+  m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
+  if (!m) error("allocation failure 1 in dmatrix()");
+
+  // allocate rows and set pointers to them
+  m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
+  if (!m[nrl]) error("allocation failure 2 in dmatrix()");
+  m[nrl]+=NR_END;
+  m[nrl]-=ncl;
+
+  for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
+
+  // return pointer to array of pointers to rows
+  return m;
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+void delete_dmatrix( double **m, long nrl, long nrh, long ncl, long nch)
+// free a double matrix allocated by dmatrix()
+{
+  free((FREE_ARG) (m[nrl]+ncl-NR_END));
+  free((FREE_ARG) (m+nrl-NR_END));
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+float **matrix(long nrl, long nrh, long ncl, long nch)
+// allocate a float matrix with subscript range m[nrl..nrh][ncl..nch]
+{
+  long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
+  float **m;
+
+  // allocate pointers to rows
+  m=(float **) malloc((size_t)((nrow+NR_END)*sizeof(float*)));
+  if (!m) error("allocation failure 1 in dmatrix()");
+
+  // allocate rows and set pointers to them
+  m[nrl]=(float *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float)));
+  if (!m[nrl]) error("allocation failure 2 in dmatrix()");
+  m[nrl]+=NR_END;
+  m[nrl]-=ncl;
+
+  for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
+
+  // return pointer to array of pointers to rows
+  return m;
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+void delete_matrix( float **m, long nrl, long nrh, long ncl, long nch)
+// free a float matrix allocated by matrix()
+{
+  free((FREE_ARG) (m[nrl]+ncl-NR_END));
+  free((FREE_ARG) (m+nrl-NR_END));
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+ifstream& operator>>(ifstream& input, Trash& trash)
+// reads a file to the next occuring ':' by using  'file >> trash'
+{
+  do input.getline(trash.string,2);
+  while( strstr(trash.string,":")==0 );
+
+  return input;
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+unsigned char **ucmatrix(long nrl, long nrh, long ncl, long nch)
+/* allocate a unsigned char matrix with subscript range m[nrl..nrh][ncl..nch] */
+{
+  long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
+  unsigned char **m;
+
+  /* allocate pointers to rows */
+  m=(unsigned char **) malloc((size_t)((nrow+NR_END)*sizeof(unsigned char*)));
+  if (!m) error("allocation failure 1 in ucmatrix()");
+
+  /* allocate rows and set pointers to them */
+  m[nrl]=(unsigned char *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(unsigned char)));
+  if (!m[nrl]) error("allocation failure 2 in ucmatrix()");
+  m[nrl]+=NR_END;
+  m[nrl]-=ncl;
+
+  for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
+
+  /* return pointer to array of pointers to rows */
+  return m;
+}
+
+/////////////////////////////////////////////////////////////////////////////////////////
+
+
+void free_ucmatrix( unsigned char **m, long nrl, long nrh, long ncl, long nch)
+/* free a unsigned char matrix allocated by ucmatrix() */
+{
+  free((FREE_ARG) (m[nrl]+ncl-NR_END));
+  free((FREE_ARG) (m+nrl-NR_END));
+}
+
+
+/////////////////////////////////////////////////////////////////////////////////////////
+//eof
+
+
+
+
+
diff --git a/fresnel/utilities.h b/fresnel/utilities.h
new file mode 100644
index 0000000..654a14d
--- /dev/null
+++ b/fresnel/utilities.h
@@ -0,0 +1,51 @@
+/*
+   This file is part of LPIC++, a particle-in-cell code for
+   simulating the interaction of laser light with plasma.
+
+   Copyright (C) 1994-1997 Roland Lichters
+
+   LPIC++ is free software; you can redistribute it and/or
+   modify it under the terms of the GNU General Public License
+   as published by the Free Software Foundation; either version 2
+   of the License, or (at your option) any later version.
+
+   This program is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+   GNU General Public License for more details.
+
+   You should have received a copy of the GNU General Public License
+   along with this program; if not, write to the Free Software
+   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+*/
+
+#ifndef UTILITIES_H
+#define UTILITIES_H
+
+#include <stdio.h>
+#include <stddef.h>
+#include <stdlib.h>
+#include <fstream>
+#include <string.h>
+#include <iomanip>
+#include <iostream>
+using namespace std;
+
+double** dmatrix( long nrl, long nrh, long ncl, long nch );
+void     delete_dmatrix( double **m, long nrl, long nrh, long ncl, long nch );
+float**  matrix( long nrl, long nrh, long ncl, long nch );
+void     delete_matrix( float **m, long nrl, long nrh, long ncl, long nch );
+unsigned char **ucmatrix(long nrl, long nrh, long ncl, long nch);
+void     delete_ucmatrix(unsigned char **m, long nrl, long nrh, long ncl, long nch);
+
+class Trash {
+  friend ifstream& operator>> (ifstream&, Trash&);
+private:
+  char string[1];
+};
+
+void error(char* s1, char*  s2="", char* s3="", char*  s4="");
+void error(char* s1, double d2,    char* s3="", char*  s4="");
+
+
+#endif