📄 fdtd_3d_pml_ey.cpp
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}
void calc_Ey_10(double ***Ey, double ***Hx, double ***Hz, double ***Fy_10, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_1, double *K_Ey_b_1,
double *K_Ey_c_1, double *K_Ey_d_1, double inv_dx, double inv_dz,
long nPML_x_1, long nPML_y_1, long nPML_z_1, long nz_MIN_nPML_z_2)
{
long i, j, k, ka;
double Fy_r;
//10
for (i = 1; i < nPML_x_1; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fy_r = Fy_10[i][j][ka];
Fy_10[i][j][ka] = K_a[Ind[i][j][k]]*Fy_10[i][j][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] +
K_Ey_b_1[i]*( K_Ey_c_1[j]*Fy_10[i][j][ka] + K_Ey_d_1[j]*Fy_r);
ka++;
}
}
}
}
void calc_Ey_11(double ***Ey, double ***Hx, double ***Hz, double ***Fy_11, long ***Ind,
double *K_a, double *K_b, double *K_Ey_c_1, double *K_Ey_d_1,
double inv_dx, double inv_dz, long nPML_x_1, long nx_MIN_nPML_x_2,
long nPML_y_1, long nPML_z_1, long nz_MIN_nPML_z_2, double inv_TwoOREp0)
{
long i, j, k, ia, ka;
double Fy_r;
//11
ia = 0;
for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fy_r = Fy_11[ia][j][ka];
Fy_11[ia][j][ka] = K_a[Ind[i][j][k]]*Fy_11[ia][j][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] += inv_TwoOREp0*( K_Ey_c_1[j]*Fy_11[ia][j][ka] +
K_Ey_d_1[j]*Fy_r);
ka++;
}
}
ia++;
}
}
void calc_Ey_12(double ***Ey, double ***Hx, double ***Hz, double ***Fy_12, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_2, double *K_Ey_b_2,
double *K_Ey_c_1, double *K_Ey_d_1, double inv_dx, double inv_dz,
long nx_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)
{
long i, j, k, ii, ia, ka;
double Fy_r;
//12
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fy_r = Fy_12[ia][j][ka];
Fy_12[ia][j][ka] = K_a[Ind[i][j][k]]*Fy_12[ia][j][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] +
K_Ey_b_2[ii]*( K_Ey_c_1[j]*Fy_12[ia][j][ka] + K_Ey_d_1[j]*Fy_r);
ka++;
}
}
ia++;
ii--;
}
}
void calc_Ey_13(double ***Ey, double ***Hx, double ***Hz, double ***Fy_13, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_1, double *K_Ey_b_1,
double inv_dx, double inv_dz, long nPML_x_1, long nPML_y_1,
long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1, long nz_MIN_nPML_z_2,
double TwoOREp0)
{
long i, j, k, ja, ka;
double Fy_r;
//13
for (i = 1; 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_nPML_z_2; k++)
{
Fy_r = Fy_13[i][ja][ka];
Fy_13[i][ja][ka] = K_a[Ind[i][j][k]]*Fy_13[i][ja][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] +
K_Ey_b_1[i]*TwoOREp0*( Fy_13[i][ja][ka] - Fy_r);
ka++;
}
ja++;
}
}
}
void calc_Ey_14(double ***Ey, double ***Hx, double ***Hz, long ***Ind, double *K_a,
double *K_b, double inv_dx, 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 - Outside of the PML
for (i = nx_a; i < nx_b; i++)
{
for (j = ny_a; j < ny_b; j++)
{
for (k = nz_a; k < nz_b; k++)
{
Ey[i][j][k] = K_a[Ind[i][j][k]]*Ey[i][j][k] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
}
}
}
}
void calc_Ey_15(double ***Ey, double ***Hx, double ***Hz, double ***Fy_15, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_2, double *K_Ey_b_2,
double inv_dx, double inv_dz, long nx_MIN_nPML_x_2, long nx_MIN_1,
long nPML_y_1, long ny_MIN_1_MIN_nPML_y_2, long nPML_z_1,
long nz_MIN_nPML_z_2, long nPML_x_2_MIN_1, double TwoOREp0)
{
long i, j, k, ii, ia, ja, ka;
double Fy_r;
//15
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_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;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fy_r = Fy_15[ia][ja][ka];
Fy_15[ia][ja][ka] = K_a[Ind[i][j][k]]*Fy_15[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] +
K_Ey_b_2[ii]*TwoOREp0*( Fy_15[ia][ja][ka] - Fy_r);
ka++;
}
ja++;
}
ia++;
ii--;
}
}
void calc_Ey_16(double ***Ey, double ***Hx, double ***Hz, double ***Fy_16, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_1, double *K_Ey_b_1,
double *K_Ey_c_2, double *K_Ey_d_2, double inv_dx, double inv_dz,
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)
{
long i, j, k, jj, ja, ka;
double Fy_r;
//16
for (i = 1; 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++)
{
Fy_r = Fy_16[i][ja][ka];
Fy_16[i][ja][ka] = K_a[Ind[i][j][k]]*Fy_16[i][ja][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] +
K_Ey_b_1[i]*( K_Ey_c_2[jj]*Fy_16[i][ja][ka] + K_Ey_d_2[jj]*Fy_r);
ka++;
}
ja++;
jj--;
}
}
}
void calc_Ey_17(double ***Ey, double ***Hx, double ***Hz, double ***Fy_17,long ***Ind,
double *K_a, double *K_b, double *K_Ey_c_2, double *K_Ey_d_2,
double inv_dx, 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 nz_MIN_nPML_z_2, long nPML_y_2_MIN_1, double inv_TwoOREp0)
{
long i, j, k, jj, ia, ja, ka;
double Fy_r;
//17
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++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Fy_r = Fy_17[ia][ja][ka];
Fy_17[ia][ja][ka] = K_a[Ind[i][j][k]]*Fy_17[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] += inv_TwoOREp0*( K_Ey_c_2[jj]*Fy_17[ia][ja][ka] +
K_Ey_d_2[jj]*Fy_r);
ka++;
}
ja++;
jj--;
}
ia++;
}
}
void calc_Ey_18(double ***Ey, double ***Hx, double ***Hz, double ***Fy_18, long ***Ind,
double *K_a, double *K_b, double *K_Ey_a_2, double *K_Ey_b_2,
double *K_Ey_c_2, double *K_Ey_d_2, double inv_dx, double inv_dz,
long nx_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)
{
long i, j, k, ii, jj, ia, ja, ka;
double Fy_r;
//18
ia = 0;
ii = nPML_x_2_MIN_1;
for (i = nx_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++)
{
Fy_r = Fy_18[ia][ja][ka];
Fy_18[ia][ja][ka] = K_a[Ind[i][j][k]]*Fy_18[ia][ja][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] +
K_Ey_b_2[ii]*( K_Ey_c_2[jj]*Fy_18[ia][ja][ka] + K_Ey_d_2[jj]*Fy_r);
ka++;
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void calc_Ey_19(double ***Ey, double ***Hx, double ***Hz, double ***Fy_19,
double ***Gy_19, long ***Ind, double *K_a, double *K_b, double *K_Gy_a_2,
double *K_Gy_b_2, double *K_Ey_a_1, double *K_Ey_b_1, double *K_Ey_c_1,
double *K_Ey_d_1, double inv_dx, 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)
{
long i, j, k, kk, ka;
double Fy_r, Gy_r;
//19
for (i = 1; 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_MIN_1; k++)
{
Fy_r = Fy_19[i][j][ka];
Fy_19[i][j][ka] = K_a[Ind[i][j][k]]*Fy_19[i][j][ka] +
K_b[Ind[i][j][k]]*( (Hx[i][j][k] - Hx[i][j][k-1])*inv_dz -
(Hz[i][j][k] - Hz[i-1][j][k])*inv_dx );
Gy_r = Gy_19[i][j][ka];
Gy_19[i][j][ka] = K_Gy_a_2[kk]*Gy_19[i][j][ka] +
K_Gy_b_2[kk]*(Fy_19[i][j][ka] - Fy_r);
Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] +
K_Ey_b_1[i]*( K_Ey_c_1[j]*Gy_19[i][j][ka] + K_Ey_d_1[j]*Gy_r);
ka++;
kk--;
}
}
}
}
void calc_Ey_20(double ***Ey, double ***Hx, double ***Hz, double ***Fy_20,
double ***Gy_20, long ***Ind, double *K_a, double *K_b, double *K_Gy_a_2,
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