1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
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
|
