📄 fdtd_3d_pml_hz.cpp
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Hz[i][j][k] = K_Bz_a_2[ii]*Hz[i][j][k] + K_Bz_b_2[ii]/mu_r[Ind[i][j][k]]*
( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dyORmu_0 -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dxORmu_0 );
}
}
ii--;
}
}
void calc_Hz_16(double ***Hz, double ***Ex, double ***Ey, double ***Bz_16, long ***Ind,
double *mu_r, double *K_Bz_a_1, double *K_Bz_b_1, double *K_Hz_a_2,
double *K_Hz_b_2, double inv_dx, double inv_dy, long nPML_x_1,
long ny_MIN_1_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 TwoOREp0DIVMu0)
{
long i, j, k, ja, ka, jj;
double Bz_r;
//16
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Bz_r = Bz_16[i][ja][ka];
Bz_16[i][ja][ka] = K_Bz_a_1[i]*Bz_16[i][ja][ka] +
K_Bz_b_1[i]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] +
K_Hz_b_2[jj]*TwoOREp0DIVMu0*( Bz_16[i][ja][ka] - Bz_r )/mu_r[Ind[i][j][k]];
ka++;
}
ja++;
jj--;
}
}
}
void calc_Hz_17(double ***Hz, double ***Ex, double ***Ey, long ***Ind, double *mu_r,
double *K_Hz_a_2, double *K_Hz_b_2, double TwoOREp0DIVMu0ORdtDIVdx,
double TwoOREp0DIVMu0ORdtDIVdy, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2,
long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1, long nPML_z_1,
long nz_MIN_nPML_z_2, long nPML_y_2_MIN_1)
{
long i, j, k, jj;
//17
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] + K_Hz_b_2[jj]/mu_r[Ind[i][j][k]]*
( (Ex[i][j+1][k] - Ex[i][j][k])*TwoOREp0DIVMu0ORdtDIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*TwoOREp0DIVMu0ORdtDIVdx );
}
jj--;
}
}
}
void calc_Hz_18(double ***Hz, double ***Ex, double ***Ey, double ***Bz_18, long ***Ind,
double *mu_r, double *K_Bz_a_2, double *K_Bz_b_2, double *K_Hz_a_2,
double *K_Hz_b_2, double inv_dx, double inv_dy,
long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long ny_MIN_1_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 TwoOREp0DIVMu0)
{
long i, j, k, ia, ja, ka, ii, jj;
double Bz_r;
//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_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Bz_r = Bz_18[ia][ja][ka];
Bz_18[ia][ja][ka] = K_Bz_a_2[ii]*Bz_18[ia][ja][ka] +
K_Bz_b_2[ii]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] + K_Hz_b_2[jj]*TwoOREp0DIVMu0*
( Bz_18[ia][ja][ka] - Bz_r )/mu_r[Ind[i][j][k]];
ka++;
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void calc_Hz_19(double ***Hz, double ***Ex, double ***Ey, double ***Bz_19, long ***Ind,
double *mu_r, double *K_Bz_a_1, double *K_Bz_b_1, double *K_Hz_a_1,
double *K_Hz_b_1, double *K_Hz_c_2, double *K_Hz_d_2, double inv_dx,
double inv_dy, long nPML_x_1, long nPML_y_1, long nz_MIN_nPML_z_2, long nz,
long nPML_z_2_MIN_1)
{
long i, j, k, ka, kk;
double Bz_r;
//19
for (i = 0; i < nPML_x_1; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_19[i][j][ka];
Bz_19[i][j][ka] = K_Bz_a_1[i]*Bz_19[i][j][ka] +
K_Bz_b_1[i]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_1[j]*Hz[i][j][k] +
K_Hz_b_1[j]*( K_Hz_c_2[kk]*Bz_19[i][j][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
}
}
}
void calc_Hz_20(double ***Hz, double ***Ex, double ***Ey, double ***Bz_20, long ***Ind,
double *mu_r, double *K_Hz_a_1, double *K_Hz_b_1, double *K_Hz_c_2,
double *K_Hz_d_2, double dtDIVdx, double dtDIVdy, long nPML_x_1,
long nx_MIN_1_MIN_nPML_x_2, long nPML_y_1, long nz_MIN_nPML_z_2, long nz,
long nPML_z_2_MIN_1)
{
long i, j, k, ia, ka, kk;
double Bz_r;
//20
ia = 0;
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_20[ia][j][ka];
Bz_20[ia][j][ka] += (Ex[i][j+1][k] - Ex[i][j][k])*dtDIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*dtDIVdx;
Hz[i][j][k] = K_Hz_a_1[j]*Hz[i][j][k] +
K_Hz_b_1[j]*( K_Hz_c_2[kk]*Bz_20[ia][j][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
}
ia++;
}
}
void calc_Hz_21(double ***Hz, double ***Ex, double ***Ey, double ***Bz_21, long ***Ind,
double *mu_r, double *K_Bz_a_2, double *K_Bz_b_2, double *K_Hz_a_1,
double *K_Hz_b_1, double *K_Hz_c_2, double *K_Hz_d_2, double inv_dx,
double inv_dy, long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long nPML_y_1,
long nz_MIN_nPML_z_2, long nz, long nPML_x_2_MIN_1, long nPML_z_2_MIN_1)
{
long i, j, k, ia, ka, ii, kk;
double Bz_r;
//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 = 0; j < nPML_y_1; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_21[ia][j][ka];
Bz_21[ia][j][ka] = K_Bz_a_2[ii]*Bz_21[ia][j][ka] +
K_Bz_b_2[ii]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_1[j]*Hz[i][j][k] +
K_Hz_b_1[j]*( K_Hz_c_2[kk]*Bz_21[ia][j][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
}
ia++;
ii--;
}
}
void calc_Hz_22(double ***Hz, double ***Ex, double ***Ey, double ***Bz_22, long ***Ind,
double *mu_r, double *K_Bz_a_1, double *K_Bz_b_1, double *K_Hz_c_2,
double *K_Hz_d_2, double inv_dx, double inv_dy, long nPML_x_1,
long nPML_y_1, long ny_MIN_1_MIN_nPML_y_2, long nz_MIN_nPML_z_2, long nz,
long nPML_z_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, ja, ka, kk;
double Bz_r;
//22
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_22[i][ja][ka];
Bz_22[i][ja][ka] = K_Bz_a_1[i]*Bz_22[i][ja][ka] +
K_Bz_b_1[i]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] += inv_TwoOREp0*( K_Hz_c_2[kk]*Bz_22[i][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
}
}
}
void calc_Hz_23(double ***Hz, double ***Ex, double ***Ey, double ***Bz_23, long ***Ind,
double *mu_r, double *K_Hz_c_2, double *K_Hz_d_2, double dtDIVdx,
double dtDIVdy, long nPML_x_1, long nx_MIN_1_MIN_nPML_x_2, long nPML_y_1,
long ny_MIN_1_MIN_nPML_y_2, long nz_MIN_nPML_z_2, long nz,
long nPML_z_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, ia, ja, ka, kk;
double Bz_r;
//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_1_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_23[ia][ja][ka];
Bz_23[ia][ja][ka] += (Ex[i][j+1][k] - Ex[i][j][k])*dtDIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*dtDIVdx;
Hz[i][j][k] += inv_TwoOREp0*( K_Hz_c_2[kk]*Bz_23[ia][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
}
ia++;
}
}
void calc_Hz_24(double ***Hz, double ***Ex, double ***Ey, double ***Bz_24, long ***Ind,
double *mu_r, double *K_Bz_a_2, double *K_Bz_b_2, double *K_Hz_c_2,
double *K_Hz_d_2, double inv_dx, double inv_dy,
long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1, long nPML_y_1,
long ny_MIN_1_MIN_nPML_y_2, long nz_MIN_nPML_z_2, long nz,
long nPML_x_2_MIN_1, long nPML_z_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, ia, ja, ka, ii, kk;
double Bz_r;
//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_1_MIN_nPML_y_2; j++)
{
ka = 0;
kk = nPML_z_2_MIN_1;
for (k = nz_MIN_nPML_z_2; k < nz; k++)
{
Bz_r = Bz_24[ia][ja][ka];
Bz_24[ia][ja][ka] = K_Bz_a_2[ii]*Bz_24[ia][ja][ka] +
K_Bz_b_2[ii]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] += inv_TwoOREp0*( K_Hz_c_2[kk]*Bz_24[ia][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
}
ia++;
ii--;
}
}
void calc_Hz_25(double ***Hz, double ***Ex, double ***Ey, double ***Bz_25, long ***Ind,
double *mu_r, double *K_Bz_a_1, double *K_Bz_b_1, double *K_Hz_a_2,
double *K_Hz_b_2, double *K_Hz_c_2, double *K_Hz_d_2, double inv_dx,
double inv_dy, long nPML_x_1, long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1,
long nz_MIN_nPML_z_2, long nz, long nPML_y_2_MIN_1, long nPML_z_2_MIN_1)
{
long i, j, k, ja, ka, jj, kk;
double Bz_r;
//25
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_1_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; k++)
{
Bz_r = Bz_25[i][ja][ka];
Bz_25[i][ja][ka] = K_Bz_a_1[i]*Bz_25[i][ja][ka] +
K_Bz_b_1[i]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] +
K_Hz_b_2[jj]*( K_Hz_c_2[kk]*Bz_25[i][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
jj--;
}
}
}
void calc_Hz_26(double ***Hz, double ***Ex, double ***Ey, double ***Bz_26, long ***Ind,
double *mu_r, double *K_Hz_a_2, double *K_Hz_b_2, double *K_Hz_c_2,
double *K_Hz_d_2, double dtDIVdx, double dtDIVdy, long nPML_x_1,
long nx_MIN_1_MIN_nPML_x_2, long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1,
long nz_MIN_nPML_z_2, long nz, long nPML_y_2_MIN_1, long nPML_z_2_MIN_1)
{
long i, j, k, ia, ja, ka, jj, kk;
double Bz_r;
//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_1_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; k++)
{
Bz_r = Bz_26[ia][ja][ka];
Bz_26[ia][ja][ka] += (Ex[i][j+1][k] - Ex[i][j][k])*dtDIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*dtDIVdx;
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] +
K_Hz_b_2[jj]*( K_Hz_c_2[kk]*Bz_26[ia][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
jj--;
}
ia++;
}
}
void calc_Hz_27(double ***Hz, double ***Ex, double ***Ey, double ***Bz_27, long ***Ind,
double *mu_r, double *K_Bz_a_2, double *K_Bz_b_2, double *K_Hz_a_2,
double *K_Hz_b_2, double *K_Hz_c_2, double *K_Hz_d_2, double inv_dx,
double inv_dy, long nx_MIN_1_MIN_nPML_x_2, long nx_MIN_1,
long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1, long nz_MIN_nPML_z_2, long nz,
long nPML_x_2_MIN_1, long nPML_y_2_MIN_1, long nPML_z_2_MIN_1)
{
long i, j, k, ia, ja, ka, ii, jj, kk;
double Bz_r;
//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_1_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; k++)
{
Bz_r = Bz_27[ia][ja][ka];
Bz_27[ia][ja][ka] = K_Bz_a_2[ii]*Bz_27[ia][ja][ka] +
K_Bz_b_2[ii]*( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dy -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dx );
Hz[i][j][k] = K_Hz_a_2[jj]*Hz[i][j][k] +
K_Hz_b_2[jj]*( K_Hz_c_2[kk]*Bz_27[ia][ja][ka] +
K_Hz_d_2[kk]*Bz_r )/mu_r[Ind[i][j][k]];
ka++;
kk--;
}
ja++;
jj--;
}
ia++;
ii--;
}
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