📄 fdtd_3d_pml_hx.cpp
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#include "fdtd_3d_pml_hx.h"
///////////////////////////////////////////////////////////////////////////////////////
//Calculate Hx field
///////////////////////////////////////////////////////////////////////////////////////
void calc_Hx_1(double ***Hx, double ***Ey, double ***Ez, double ***Bx_1, long ***Ind,
double *mu_r, double *K_Bx_a_1, double *K_Bx_b_1, double *K_Hx_a_1,
double *K_Hx_b_1, double *K_Hx_c_1, double *K_Hx_d_1, double inv_dy,
double inv_dz, long nPML_x_1, long nPML_y_1, long nPML_z_1)
{
long i, j, k;
double Bx_r;
//1
for (i = 0; i < nPML_x_1; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_1[i][j][k];
Bx_1[i][j][k] = K_Bx_a_1[j]*Bx_1[i][j][k] +
K_Bx_b_1[j]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_1[i]*Bx_1[i][j][k] +
K_Hx_d_1[i]*Bx_r )/mu_r[Ind[i][j][k]];
}
}
}
}
void calc_Hx_2(double ***Hx, double ***Ey, double ***Ez, double ***Bx_2, long ***Ind,
double *mu_r, double *K_Bx_a_1, double *K_Bx_b_1, double *K_Hx_a_1,
double *K_Hx_b_1, double inv_dy, double inv_dz, long nPML_x_1,
long nx_MIN_nPML_x_2, long nPML_y_1, long nPML_z_1, double TwoOREp0DIVMu0)
{
long i, j, k, ia;
double Bx_r;
//2
ia = 0;
for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_2[ia][j][k];
Bx_2[ia][j][k] = K_Bx_a_1[j]*Bx_2[ia][j][k] +
K_Bx_b_1[j]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] + K_Hx_b_1[k]*TwoOREp0DIVMu0*
( Bx_2[ia][j][k] - Bx_r )/mu_r[Ind[i][j][k]];
}
}
ia++;
}
}
void calc_Hx_3(double ***Hx, double ***Ey, double ***Ez, double ***Bx_3, long ***Ind,
double *mu_r, double *K_Bx_a_1, double *K_Bx_b_1, double *K_Hx_a_1,
double *K_Hx_b_1, double *K_Hx_c_2, double *K_Hx_d_2, double inv_dy,
double inv_dz, long nx_MIN_nPML_x_2, long nx, long nPML_y_1, long nPML_z_1,
long nPML_x_2_MIN_1)
{
long i, j, k, ii, ia;
double Bx_r;
//3
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_3[ia][j][k];
Bx_3[ia][j][k] = K_Bx_a_1[j]*Bx_3[ia][j][k] +
K_Bx_b_1[j]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_2[ii]*Bx_3[ia][j][k] +
K_Hx_d_2[ii]*Bx_r )/mu_r[Ind[i][j][k]];
}
}
ia++;
ii--;
}
}
void calc_Hx_4(double ***Hx, double ***Ey, double ***Ez, double ***Bx_4, long ***Ind,
double *mu_r, double *K_Hx_a_1, double *K_Hx_b_1, double *K_Hx_c_1,
double *K_Hx_d_1, double dtDIVdy, double dtDIVdz, long nPML_x_1,
long nPML_y_1, long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1)
{
long i, j, k, ja;
double Bx_r;
//4
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_4[i][ja][k];
Bx_4[i][ja][k] += ( (Ey[i][j][k+1] - Ey[i][j][k])*dtDIVdz -
(Ez[i][j+1][k] - Ez[i][j][k])*dtDIVdy );
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_1[i]*Bx_4[i][ja][k] +
K_Hx_d_1[i]*Bx_r )/mu_r[Ind[i][j][k]];
}
ja++;
}
}
}
void calc_Hx_5(double ***Hx, double ***Ey, double ***Ez, long ***Ind,
double *mu_r, double *K_Hx_a_1, double *K_Hx_b_1,
double TwoOREp0DIVMu0ORdtDIVdy, double TwoOREp0DIVMu0ORdtDIVdz,
long nPML_x_1, long nx_MIN_nPML_x_2, long nPML_y_1,
long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1)
{
long i, j, k;
//5
for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
{
for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] + K_Hx_b_1[k]/mu_r[Ind[i][j][k]]*
( (Ey[i][j][k+1] - Ey[i][j][k])*TwoOREp0DIVMu0ORdtDIVdz -
(Ez[i][j+1][k] - Ez[i][j][k])*TwoOREp0DIVMu0ORdtDIVdy );
}
}
}
}
void calc_Hx_6(double ***Hx, double ***Ey, double ***Ez, double ***Bx_6, long ***Ind,
double *mu_r, double *K_Hx_a_1, double *K_Hx_b_1, double *K_Hx_c_2,
double *K_Hx_d_2, double dtDIVdy, double dtDIVdz, long nx_MIN_nPML_x_2,
long nx, long nPML_y_1, long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1,
long nPML_x_2_MIN_1)
{
long i, j, k, ii, ia, ja;
double Bx_r;
//6
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_6[ia][ja][k];
Bx_6[ia][ja][k] += ( (Ey[i][j][k+1] - Ey[i][j][k])*dtDIVdz -
(Ez[i][j+1][k] - Ez[i][j][k])*dtDIVdy );
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_2[ii]*Bx_6[ia][ja][k] +
K_Hx_d_2[ii]*Bx_r )/mu_r[Ind[i][j][k]];
}
ja++;
}
ia++;
ii--;
}
}
void calc_Hx_7(double ***Hx, double ***Ey, double ***Ez, double ***Bx_7, long ***Ind,
double *mu_r, double *K_Bx_a_2, double *K_Bx_b_2, double *K_Hx_a_1,
double *K_Hx_b_1, double *K_Hx_c_1, double *K_Hx_d_1, double inv_dy,
double inv_dz, long nPML_x_1, long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1,
long nPML_z_1, long nPML_y_2_MIN_1)
{
long i, j, k, jj, ja;
double Bx_r;
//7
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++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_7[i][ja][k];
Bx_7[i][ja][k] = K_Bx_a_2[jj]*Bx_7[i][ja][k] +
K_Bx_b_2[jj]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_1[i]*Bx_7[i][ja][k] +
K_Hx_d_1[i]*Bx_r )/mu_r[Ind[i][j][k]];
}
ja++;
jj--;
}
}
}
void calc_Hx_8(double ***Hx, double ***Ey, double ***Ez, double ***Bx_8, long ***Ind,
double *mu_r, double *K_Bx_a_2, double *K_Bx_b_2, double *K_Hx_a_1,
double *K_Hx_b_1, double inv_dy, double inv_dz, long nPML_x_1,
long nx_MIN_nPML_x_2, long ny_MIN_1_MIN_nPML_y_2, long ny_MIN_1,
long nPML_z_1, long nPML_y_2_MIN_1, double TwoOREp0DIVMu0)
{
long i, j, k, jj, ia, ja;
double Bx_r;
//8
ia = 0;
for (i = nPML_x_1; i < nx_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++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_8[ia][ja][k];
Bx_8[ia][ja][k] = K_Bx_a_2[jj]*Bx_8[ia][ja][k] +
K_Bx_b_2[jj]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] + K_Hx_b_1[k]*TwoOREp0DIVMu0*
( Bx_8[ia][ja][k] - Bx_r )/mu_r[Ind[i][j][k]];
}
ja++;
jj--;
}
ia++;
}
}
void calc_Hx_9(double ***Hx, double ***Ey, double ***Ez, double ***Bx_9, long ***Ind,
double *mu_r, double *K_Bx_a_2, double *K_Bx_b_2, double *K_Hx_a_1,
double *K_Hx_b_1, double *K_Hx_c_2, double *K_Hx_d_2, double inv_dy,
double inv_dz, long nx_MIN_nPML_x_2, long nx, long ny_MIN_1_MIN_nPML_y_2,
long ny_MIN_1, long nPML_z_1, long nPML_x_2_MIN_1, long nPML_y_2_MIN_1)
{
long i, j, k, ii, jj, ia, ja;
double Bx_r;
//9
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx; i++)
{
ja = 0;
jj = nPML_y_2_MIN_1;
for (j = ny_MIN_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bx_r = Bx_9[ia][ja][k];
Bx_9[ia][ja][k] = K_Bx_a_2[jj]*Bx_9[ia][ja][k] +
K_Bx_b_2[jj]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = K_Hx_a_1[k]*Hx[i][j][k] +
K_Hx_b_1[k]*( K_Hx_c_2[ii]*Bx_9[ia][ja][k] +
K_Hx_d_2[ii]*Bx_r )/mu_r[Ind[i][j][k]];
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void calc_Hx_10(double ***Hx, double ***Ey, double ***Ez, double ***Bx_10, long ***Ind,
double *mu_r, double *K_Bx_a_1, double *K_Bx_b_1, double *K_Hx_c_1,
double *K_Hx_d_1, double inv_dy, double inv_dz, long nPML_x_1,
long nPML_y_1, long nPML_z_1, long nz_MIN_1_MIN_nPML_z_2,
double inv_TwoOREp0)
{
long i, j, k, ka;
double Bx_r;
//10
for (i = 0; i < nPML_x_1; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
Bx_r = Bx_10[i][j][ka];
Bx_10[i][j][ka] = K_Bx_a_1[j]*Bx_10[i][j][ka] +
K_Bx_b_1[j]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] = Hx[i][j][k] +
inv_TwoOREp0*( K_Hx_c_1[i]*Bx_10[i][j][ka] +
K_Hx_d_1[i]*Bx_r )/mu_r[Ind[i][j][k]];
ka++;
}
}
}
}
void calc_Hx_11(double ***Hx, double ***Ey, double ***Ez, long ***Ind, double *mu_r,
double *K_Bx_a_1, double *K_Bx_b_1, double inv_dyORmu_0,
double inv_dzORmu_0, long nPML_x_1, long nx_MIN_nPML_x_2, long nPML_y_1,
long nPML_z_1, long nz_MIN_1_MIN_nPML_z_2)
{
long i, j, k;
//11
for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
Hx[i][j][k] = K_Bx_a_1[j]*Hx[i][j][k] + K_Bx_b_1[j]/mu_r[Ind[i][j][k]]*
( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dzORmu_0 -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dyORmu_0);
}
}
}
}
void calc_Hx_12(double ***Hx, double ***Ey, double ***Ez, double ***Bx_12, long ***Ind,
double *mu_r, double *K_Bx_a_1, double *K_Bx_b_1, double *K_Hx_c_2,
double *K_Hx_d_2, double inv_dy, double inv_dz, long nx_MIN_nPML_x_2,
long nx, long nPML_y_1, long nPML_z_1, long nz_MIN_1_MIN_nPML_z_2,
long nPML_x_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, ii, ia, ka;
double Bx_r;
//12
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
Bx_r = Bx_12[ia][j][ka];
Bx_12[ia][j][ka] = K_Bx_a_1[j]*Bx_12[ia][j][ka] +
K_Bx_b_1[j]*( (Ey[i][j][k+1] - Ey[i][j][k])*inv_dz -
(Ez[i][j+1][k] - Ez[i][j][k])*inv_dy);
Hx[i][j][k] += inv_TwoOREp0*( K_Hx_c_2[ii]*Bx_12[ia][j][ka] +
K_Hx_d_2[ii]*Bx_r )/mu_r[Ind[i][j][k]];
ka++;
}
}
ia++;
ii--;
}
}
void calc_Hx_13(double ***Hx, double ***Ey, double ***Ez, double ***Bx_13, long ***Ind,
double *mu_r, double *K_Hx_c_1, double *K_Hx_d_1, double dtDIVdy,
double dtDIVdz, long nPML_x_1, long nPML_y_1, long ny_MIN_1_MIN_nPML_y_2,
long nPML_z_1, long nz_MIN_1_MIN_nPML_z_2, double inv_TwoOREp0)
{
long i, j, k, ja, ka;
double Bx_r;
//13
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;
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
Bx_r = Bx_13[i][ja][ka];
Bx_13[i][ja][ka] += ( (Ey[i][j][k+1] - Ey[i][j][k])*dtDIVdz -
(Ez[i][j+1][k] - Ez[i][j][k])*dtDIVdy );
Hx[i][j][k] += inv_TwoOREp0*( K_Hx_c_1[i]*Bx_13[i][ja][ka] +
K_Hx_d_1[i]*Bx_r )/mu_r[Ind[i][j][k]];
ka++;
}
ja++;
}
}
}
void calc_Hx_14(double ***Hx, double ***Ey, double ***Ez, long ***Ind, double *mu_r,
double dtDIVMu0DIVdy, double dtDIVMu0DIVdz, long nx_a, long nx_b,
long ny_a, long ny_b, long nz_a, long nz_b)
{
long i, j, k;
//14 - Outside of the PML region
for (i = nx_a; i < nx_b; i++)
{
for (j = ny_a; j < ny_b; j++)
{
for (k = nz_a; k < nz_b; k++)
{
Hx[i][j][k] += ( (Ey[i][j][k+1] - Ey[i][j][k])*dtDIVMu0DIVdz -
(Ez[i][j+1][k] - Ez[i][j][k])*dtDIVMu0DIVdy )/
mu_r[Ind[i][j][k]];
}
}
}
}
void calc_Hx_15(double ***Hx, double ***Ey, double ***Ez, double ***Bx_15, long ***Ind,
double *mu_r, double *K_Hx_c_2, double *K_Hx_d_2, double dtDIVdy,
double dtDIVdz, long nx_MIN_nPML_x_2, long nx, long nPML_y_1,
long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1, long nz_MIN_1_MIN_nPML_z_2,
long nPML_x_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, ii, ia, ja, ka;
double Bx_r;
//15
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx; i++)
{
ja = 0;
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