📄 fdtd_3d_pml_ex.cpp
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//10
for (i = 0; i < nPML_x_1; i++)
{
for (j = 1; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_10[i][j][ka];
Fx_10[i][j][ka] = K_a[Ind[i][j][k]]*Fx_10[i][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_10[i][j][ka];
Gx_10[i][j][ka] = K_Gx_a_1[j]*Gx_10[i][j][ka] +
K_Gx_b_1[j]*(Fx_10[i][j][ka] - Fx_r);
Ex[i][j][k] += inv_TwoOREp0*( K_Ex_c_1[i]*Gx_10[i][j][ka] +
K_Ex_d_1[i]*Gx_r);
ka++;
}
}
}
}
void calc_Ex_11(double ***Ex, double ***Hy, double ***Hz, double ***Fx_11, long ***Ind,
double *K_a, double *K_b, double *K_Gx_a_1, double *K_Gx_b_1,
double inv_dy, double inv_dz, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2,
long nPML_y_1, long nPML_z_1, long nz_MIN_nPML_z_2)
{
double Fx_r;
long i, j, k, ia, ka;
//11
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_11[ia][j][ka];
Fx_11[ia][j][ka] = K_a[Ind[i][j][k]]*Fx_11[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 );
Ex[i][j][k] = K_Gx_a_1[j]*Ex[i][j][k] +
K_Gx_b_1[j]*(Fx_11[ia][j][ka] - Fx_r);
ka++;
}
}
ia++;
}
}
void calc_Ex_12(double ***Ex, double ***Hy, double ***Hz, double ***Fx_12,
double ***Gx_12, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_1,
double *K_Gx_b_1, 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 nPML_z_1, long nz_MIN_nPML_z_2, long nPML_x_2_MIN_1, double inv_TwoOREp0)
{
double Fx_r, Gx_r;
long i, j, k, ii, ia, ka;
//12
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_12[ia][j][ka];
Fx_12[ia][j][ka] = K_a[Ind[i][j][k]]*Fx_12[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_12[ia][j][ka];
Gx_12[ia][j][ka] = K_Gx_a_1[j]*Gx_12[ia][j][ka] +
K_Gx_b_1[j]*(Fx_12[ia][j][ka] - Fx_r);
Ex[i][j][k] += inv_TwoOREp0*( K_Ex_c_2[ii]*Gx_12[ia][j][ka] +
K_Ex_d_2[ii]*Gx_r);
ka++;
}
}
ia++;
ii--;
}
}
void calc_Ex_13(double ***Ex, double ***Hy, double ***Hz, double ***Fx_13, long ***Ind,
double *K_a, double *K_b, 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 nPML_z_1, long nz_MIN_nPML_z_2, double inv_TwoOREp0)
{
double Fx_r;
long i, j, k, ja, ka;
//13
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_13[i][ja][ka];
Fx_13[i][ja][ka] = K_a[Ind[i][j][k]]*Fx_13[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] += inv_TwoOREp0*( K_Ex_c_1[i]*Fx_13[i][ja][ka] +
K_Ex_d_1[i]*Fx_r);
ka++;
}
ja++;
}
}
}
//Outside of the PML zone
void calc_Ex_14(double ***Ex, double ***Hy, double ***Hz, long ***Ind, double *K_a,
double *K_b, double inv_dy, double inv_dz, long nx_a,
long nx_b, long ny_a, long ny_b, long nz_a, long nz_b)
{
long i, j, k;
//14
for (i = nx_a; i < nx_b; i++)
{
for (j = ny_a; j < ny_b; j++)
{
for (k = nz_a; k < nz_b; k++)
{
Ex[i][j][k] = K_a[Ind[i][j][k]]*Ex[i][j][k] +
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 );
}
}
}
}
void calc_Ex_15(double ***Ex, double ***Hy, double ***Hz, double ***Fx_15, long ***Ind,
double *K_a, double *K_b, 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 nPML_z_1, long nz_MIN_nPML_z_2,
long nPML_x_2_MIN_1, double inv_TwoOREp0)
{
double Fx_r;
long i, j, k, ii, ia, ja, ka;
//15
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_15[ia][ja][ka];
Fx_15[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_15[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] += inv_TwoOREp0*(K_Ex_c_2[ii]*Fx_15[ia][ja][ka] +
K_Ex_d_2[ii]*Fx_r);
ka++;
}
ja++;
}
ia++;
ii--;
}
}
void calc_Ex_16(double ***Ex, double ***Hy, double ***Hz, double ***Fx_16,
double ***Gx_16, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_2,
double *K_Gx_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 nPML_z_1, long nz_MIN_nPML_z_2, long nPML_y_2_MIN_1, double inv_TwoOREp0)
{
double Fx_r, Gx_r;
long i, j, k, jj, ja, ka;
//16
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_16[i][ja][ka];
Fx_16[i][ja][ka] = K_a[Ind[i][j][k]]*Fx_16[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_16[i][ja][ka];
Gx_16[i][ja][ka] = K_Gx_a_2[jj]*Gx_16[i][ja][ka] +
K_Gx_b_2[jj]*(Fx_16[i][ja][ka] - Fx_r);
Ex[i][j][k] += inv_TwoOREp0*( K_Ex_c_1[i]*Gx_16[i][ja][ka] +
K_Ex_d_1[i]*Gx_r);
ka++;
}
ja++;
jj--;
}
}
}
void calc_Ex_17(double ***Ex, double ***Hy, double ***Hz, double ***Fx_17, long ***Ind,
double *K_a, double *K_b, double *K_Gx_a_2, double *K_Gx_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 nPML_z_1, long nz_MIN_nPML_z_2,
long nPML_y_2_MIN_1)
{
double Fx_r;
long i, j, k, jj, ia, ja, ka;
//17
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_17[ia][ja][ka];
Fx_17[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_17[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_Gx_a_2[jj]*Ex[i][j][k] +
K_Gx_b_2[jj]*(Fx_17[ia][ja][ka] - Fx_r);
ka++;
}
ja++;
jj--;
}
ia++;
}
}
void calc_Ex_18(double ***Ex, double ***Hy, double ***Hz, double ***Fx_18,
double ***Gx_18, long ***Ind, double *K_a, double *K_b, double *K_Gx_a_2,
double *K_Gx_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 nPML_z_1, long nz_MIN_nPML_z_2,
long nPML_x_2_MIN_1, long nPML_y_2_MIN_1, double inv_TwoOREp0)
{
double Fx_r, Gx_r;
long i, j, k, ii, jj, ia, ja, ka;
//18
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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fx_r = Fx_18[ia][ja][ka];
Fx_18[ia][ja][ka] = K_a[Ind[i][j][k]]*Fx_18[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_18[ia][ja][ka];
Gx_18[ia][ja][ka] = K_Gx_a_2[jj]*Gx_18[ia][ja][ka] +
K_Gx_b_2[jj]*(Fx_18[ia][ja][ka] - Fx_r);
Ex[i][j][k] += inv_TwoOREp0*( K_Ex_c_2[ii]*Gx_18[ia][ja][ka] +
K_Ex_d_2[ii]*Gx_r);
ka++;
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void calc_Ex_19(double ***Ex, double ***Hy, double ***Hz, double ***Fx_19,
double ***Gx_19, 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_1,
double *K_Ex_d_1, double inv_dy, double inv_dz, long nPML_x_1,
long nPML_y_1, long nz_MIN_nPML_z_2, long nz_MIN_1, long nPML_z_2_MIN_1)
{
double Fx_r, Gx_r;
long i, j, k, kk, ka;
//19
for (i = 0; i < nPML_x_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_19[i][j][ka];
Fx_19[i][j][ka] = K_a[Ind[i][j][k]]*Fx_19[i][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_19[i][j][ka];
Gx_19[i][j][ka] = K_Gx_a_1[j]*Gx_19[i][j][ka] +
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