📄 fdtd_3d_pml_ex.cpp
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K_Gx_b_1[j]*(Fx_19[i][j][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*( K_Ex_c_1[i]*Gx_19[i][j][ka] + K_Ex_d_1[i]*Gx_r);
ka++;
kk--;
}
}
}
}
void calc_Ex_20(double ***Ex, double ***Hy, double ***Hz, double ***Fx_20,
double ***Gx_20, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_1,
double *K_Gx_b_1, double *K_Ex_a_2, double *K_Ex_b_2, double inv_dy,
double inv_dz, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2, long nPML_y_1,
long nz_MIN_nPML_z_2, long nz_MIN_1, long nPML_z_2_MIN_1, double TwoOREp0)
{
double Fx_r, Gx_r;
long i, j, k, kk, ia, ka;
//20
ia = 0;
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
for (j = 1; j < nPML_y_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_20[ia][j][ka];
Fx_20[ia][j][ka] = K_a[Ind[i][j][k]]*Fx_20[ia][j][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Gx_r = Gx_20[ia][j][ka];
Gx_20[ia][j][ka] = K_Gx_a_1[j]*Gx_20[ia][j][ka] +
K_Gx_b_1[j]*(Fx_20[ia][j][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*TwoOREp0*( Gx_20[ia][j][ka] - Gx_r);
ka++;
kk--;
}
}
ia++;
}
}
void calc_Ex_21(double ***Ex, double ***Hy, double ***Hz, double ***Fx_21,
double ***Gx_21, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_1,
double *K_Gx_b_1, double *K_Ex_a_2, double *K_Ex_b_2, double *K_Ex_c_2,
double *K_Ex_d_2, double inv_dy, double inv_dz,
long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long nPML_y_1,
long nz_MIN_nPML_z_2, long nz_MIN_1, long nPML_x_2_MIN_1,
long nPML_z_2_MIN_1)
{
double Fx_r, Gx_r;
long i, j, k, ii, kk, ia, ka;
//21
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_1_MIN_nPML_x_2; i < nx_MIN_1; i++)
{
for (j = 1; j < nPML_y_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_21[ia][j][ka];
Fx_21[ia][j][ka] = K_a[Ind[i][j][k]]*Fx_21[ia][j][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Gx_r = Gx_21[ia][j][ka];
Gx_21[ia][j][ka] = K_Gx_a_1[j]*Gx_21[ia][j][ka] +
K_Gx_b_1[j]*(Fx_21[ia][j][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*( K_Ex_c_2[ii]*Gx_21[ia][j][ka] + K_Ex_d_2[ii]*Gx_r);
ka++;
kk--;
}
}
ia++;
ii--;
}
}
void calc_Ex_22(double ***Ex, double ***Hy, double ***Hz, double ***Fx_22, long ***Ind,
double *K_a, double *K_b, double *K_Ex_a_2, double *K_Ex_b_2,
double *K_Ex_c_1, double *K_Ex_d_1, double inv_dy, double inv_dz,
long nPML_x_1, long nPML_y_1, long ny_MIN_nPML_y_2, long nz_MIN_nPML_z_2,
long nz_MIN_1, long nPML_z_2_MIN_1)
{
double Fx_r;
long i, j, k, kk, ja, ka;
//22
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_22[i][ja][ka];
Fx_22[i][ja][ka] = K_a[Ind[i][j][k]]*Fx_22[i][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*( K_Ex_c_1[i]*Fx_22[i][ja][ka] + K_Ex_d_1[i]*Fx_r);
ka++;
kk--;
}
ja++;
}
}
}
void calc_Ex_23(double ***Ex, double ***Hy, double ***Hz, double ***Fx_23, long ***Ind,
double *K_a, double *K_b, double *K_Ex_a_2, double *K_Ex_b_2,
double inv_dy, double inv_dz, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2,
long nPML_y_1, long ny_MIN_nPML_y_2, long nz_MIN_nPML_z_2, long nz_MIN_1,
long nPML_z_2_MIN_1, double TwoOREp0)
{
double Fx_r;
long i, j, k, kk, ia, ja, ka;
//23
ia = 0;
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_23[ia][ja][ka];
Fx_23[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_23[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*TwoOREp0*( Fx_23[ia][ja][ka] - Fx_r);
ka++;
kk--;
}
ja++;
}
ia++;
}
}
void calc_Ex_24(double ***Ex, double ***Hy, double ***Hz, double ***Fx_24, long ***Ind,
double *K_a, double *K_b, double *K_Ex_a_2, double *K_Ex_b_2,
double *K_Ex_c_2, double *K_Ex_d_2, double inv_dy, double inv_dz,
long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long nPML_y_1,
long ny_MIN_nPML_y_2, long nz_MIN_nPML_z_2, long nz_MIN_1,
long nPML_x_2_MIN_1, long nPML_z_2_MIN_1)
{
double Fx_r;
long i, j, k, ii, kk, ia, ja, ka;
//24
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_1_MIN_nPML_x_2; i < nx_MIN_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_24[ia][ja][ka];
Fx_24[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_24[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*( K_Ex_c_2[ii]*Fx_24[ia][ja][ka] + K_Ex_d_2[ii]*Fx_r);
ka++;
kk--;
}
ja++;
}
ia++;
ii--;
}
}
void calc_Ex_25(double ***Ex, double ***Hy, double ***Hz, double ***Fx_25,
double ***Gx_25, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_2,
double *K_Gx_b_2, double *K_Ex_a_2, double *K_Ex_b_2, double *K_Ex_c_1,
double *K_Ex_d_1, double inv_dy, double inv_dz, long nPML_x_1,
long ny_MIN_nPML_y_2, long ny_MIN_1, long nz_MIN_nPML_z_2, long nz_MIN_1,
long nPML_y_2_MIN_1, long nPML_z_2_MIN_1)
{
double Fx_r, Gx_r;
long i, j, k, jj, kk, ja, ka;
//25
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_25[i][ja][ka];
Fx_25[i][ja][ka] = K_a[Ind[i][j][k]]*Fx_25[i][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Gx_r = Gx_25[i][ja][ka];
Gx_25[i][ja][ka] = K_Gx_a_2[jj]*Gx_25[i][ja][ka] +
K_Gx_b_2[jj]*(Fx_25[i][ja][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*( K_Ex_c_1[i]*Gx_25[i][ja][ka] + K_Ex_d_1[i]*Gx_r);
ka++;
kk--;
}
ja++;
jj--;
}
}
}
void calc_Ex_26(double ***Ex, double ***Hy, double ***Hz, double ***Fx_26,
double ***Gx_26, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_2,
double *K_Gx_b_2, double *K_Ex_a_2, double *K_Ex_b_2, double inv_dy,
double inv_dz, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2, long ny_MIN_nPML_y_2,
long ny_MIN_1, long nz_MIN_nPML_z_2, long nz_MIN_1, long nPML_y_2_MIN_1,
long nPML_z_2_MIN_1, double TwoOREp0)
{
double Fx_r, Gx_r;
long i, j, k, jj, kk, ia, ja, ka;
//26
ia = 0;
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_26[ia][ja][ka];
Fx_26[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_26[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Gx_r = Gx_26[ia][ja][ka];
Gx_26[ia][ja][ka] = K_Gx_a_2[jj]*Gx_26[ia][ja][ka] +
K_Gx_b_2[jj]*(Fx_26[ia][ja][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*TwoOREp0*( Gx_26[ia][ja][ka] - Gx_r);
ka++;
kk--;
}
ja++;
jj--;
}
ia++;
}
}
void calc_Ex_27(double ***Ex, double ***Hy, double ***Hz, double ***Fx_27,
double ***Gx_27, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_2,
double *K_Gx_b_2, double *K_Ex_a_2, double *K_Ex_b_2, double *K_Ex_c_2,
double *K_Ex_d_2, double inv_dy, double inv_dz,
long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long ny_MIN_nPML_y_2,
long ny_MIN_1, long nz_MIN_nPML_z_2, long nz_MIN_1, long nPML_x_2_MIN_1,
long nPML_y_2_MIN_1, long nPML_z_2_MIN_1)
{
double Fx_r, Gx_r;
long i, j, k, ii, jj, kk, ia, ja, ka;
//27
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_1_MIN_nPML_x_2; i < nx_MIN_1; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz_MIN_1; k++)
{
Fx_r = Fx_27[ia][ja][ka];
Fx_27[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_27[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hz[i][j][k] - Hz[i][j-1][k])*inv_dy -
(Hy[i][j][k] - Hy[i][j][k-1])*inv_dz );
Gx_r = Gx_27[ia][ja][ka];
Gx_27[ia][ja][ka] = K_Gx_a_2[jj]*Gx_27[ia][ja][ka] +
K_Gx_b_2[jj]*(Fx_27[ia][ja][ka] - Fx_r);
Ex[i][j][k] = K_Ex_a_2[kk]*Ex[i][j][k] +
K_Ex_b_2[kk]*(K_Ex_c_2[ii]*Gx_27[ia][ja][ka] + K_Ex_d_2[ii]*Gx_r);
ka++;
kk--;
}
ja++;
jj--;
}
ia++;
ii--;
}
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