📄 fdtd_3d_pml_hy.cpp
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#include "FDTD_3D_PML_Hy.h"
///////////////////////////////////////////////////////////////////////////////////////
//Calculate Hy field
///////////////////////////////////////////////////////////////////////////////////////
void CFDTD_3D_PML::calc_Hy_1()
{
long i, j, k;
double By_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++)
{
By_r = By_1[i][j][k];
By_1[i][j][k] = K_By_a_1[k]*By_1[i][j][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_1[i]*Hy[i][j][k] +
K_Hy_b_1[i]*( K_Hy_c_1[j]*By_1[i][j][k] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
}
}
}
}
void CFDTD_3D_PML::calc_Hy_2()
{
long i, j, k, ia;
double By_r;
//2
ia = 0;
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_2[ia][j][k];
By_2[ia][j][k] = K_By_a_1[k]*By_2[ia][j][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] += inv_TwoOREp0*( K_Hy_c_1[j]*By_2[ia][j][k] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
}
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hy_3()
{
long i, j, k, ia, ii;
double By_r;
//3
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++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_3[ia][j][k];
By_3[ia][j][k] = K_By_a_1[k]*By_3[ia][j][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_2[ii]*Hy[i][j][k] +
K_Hy_b_2[ii]*( K_Hy_c_1[j]*By_3[ia][j][k] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
}
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hy_4()
{
long i, j, k, ja;
double By_r;
//4
for (i = 0; i < nPML_x_1; i++)
{
ja = 0;
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_4[i][ja][k];
By_4[i][ja][k] = K_By_a_1[k]*By_4[i][ja][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_1[i]*Hy[i][j][k] +
K_Hy_b_1[i]*TwoOREp0DIVMu0*( By_4[i][ja][k] - By_r )/Mat[Ind[i][j][k]][1];
}
ja++;
}
}
}
void CFDTD_3D_PML::calc_Hy_5()
{
long i, j, k;
//5
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Hy[i][j][k] = K_By_a_1[k]*Hy[i][j][k] +
K_By_b_1[k]/Mat[Ind[i][j][k]][1]*
( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dxORmu_0 -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dzORmu_0 );
}
}
}
}
void CFDTD_3D_PML::calc_Hy_6()
{
long i, j, k, ia, ja, ii;
double By_r;
//6
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++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_6[ia][ja][k];
By_6[ia][ja][k] = K_By_a_1[k]*By_6[ia][ja][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_2[ii]*Hy[i][j][k] +
K_Hy_b_2[ii]*TwoOREp0DIVMu0*( By_6[ia][ja][k] - By_r )/Mat[Ind[i][j][k]][1];
}
ja++;
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hy_7()
{
long i, j, k, ja, jj;
double By_r;
//7
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; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_7[i][ja][k];
By_7[i][ja][k] = K_By_a_1[k]*By_7[i][ja][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_1[i]*Hy[i][j][k] +
K_Hy_b_1[i]*( K_Hy_c_2[jj]*By_7[i][ja][k] +
K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
}
}
void CFDTD_3D_PML::calc_Hy_8()
{
long i, j, k, ia, ja, jj;
double By_r;
//8
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; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_8[ia][ja][k];
By_8[ia][ja][k] = K_By_a_1[k]*By_8[ia][ja][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] += inv_TwoOREp0*( K_Hy_c_2[jj]*By_8[ia][ja][k] +
K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hy_9()
{
long i, j, k, ia, ja, ii, jj;
double By_r;
//9
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; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
By_r = By_9[ia][ja][k];
By_9[ia][ja][k] = K_By_a_1[k]*By_9[ia][ja][k] +
K_By_b_1[k]*( (Ez[i+1][j][k] - Ez[i][j][k])*inv_dx -
(Ex[i][j][k+1] - Ex[i][j][k])*inv_dz );
Hy[i][j][k] = K_Hy_a_2[ii]*Hy[i][j][k] +
K_Hy_b_2[ii]*( K_Hy_c_2[jj]*By_9[ia][ja][k] +
K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hy_10()
{
long i, j, k, ka;
double By_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++)
{
By_r = By_10[i][j][ka];
By_10[i][j][ka] += ( (Ez[i+1][j][k] - Ez[i][j][k])*dtDIVdx -
(Ex[i][j][k+1] - Ex[i][j][k])*dtDIVdz );
Hy[i][j][k] = K_Hy_a_1[i]*Hy[i][j][k] +
K_Hy_b_1[i]*( K_Hy_c_1[j]*By_10[i][j][ka] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
ka++;
}
}
}
}
void CFDTD_3D_PML::calc_Hy_11()
{
long i, j, k, ia, ka;
double By_r;
//11
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;
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
By_r = By_11[ia][j][ka];
By_11[ia][j][ka] += ( (Ez[i+1][j][k] - Ez[i][j][k])*dtDIVdx -
(Ex[i][j][k+1] - Ex[i][j][k])*dtDIVdz );
Hy[i][j][k] += inv_TwoOREp0*( K_Hy_c_1[j]*By_11[ia][j][ka] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
ka++;
}
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hy_12()
{
long i, j, k, ia, ka, ii;
double By_r;
//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 = 0; j < nPML_y_1; j++)
{
ka = 0;
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
By_r = By_12[ia][j][ka];
By_12[ia][j][ka] += ( (Ez[i+1][j][k] - Ez[i][j][k])*dtDIVdx -
(Ex[i][j][k+1] - Ex[i][j][k])*dtDIVdz );
Hy[i][j][k] = K_Hy_a_2[ii]*Hy[i][j][k] +
K_Hy_b_2[ii]*( K_Hy_c_1[j]*By_12[ia][j][ka] +
K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
ka++;
}
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hy_13()
{
long i, j, k;
//13
for (i = 0; i < nPML_x_1; i++)
{
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
{
Hy[i][j][k] = K_Hy_a_1[i]*Hy[i][j][k] + K_Hy_b_1[i]/Mat[Ind[i][j][k]][1]*
( (Ez[i+1][j][k] - Ez[i][j][k])*TwoOREp0DIVMu0ORdtDIVdx -
(Ex[i][j][k+1] - Ex[i][j][k])*TwoOREp0DIVMu0ORdtDIVdz );
}
}
}
}
void CFDTD_3D_PML::calc_Hy_14(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++)
{
Hy[i][j][k] += ( (Ez[i+1][j][k] - Ez[i][j][k])*dtDIVMu0DIVdx -
(Ex[i][j][k+1] - Ex[i][j][k])*dtDIVMu0DIVdz )/Mat[Ind[i][j][k]][1];
}
}
}
}
void CFDTD_3D_PML::calc_Hy_15()
{
long i, j, k, ii;
//15
ii = nPML_x_2_MIN_1;
for (i = nx_MIN_1_MIN_nPML_x_2; i < nx_MIN_1; i++)
{
for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
{
for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
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