📄 fdtd_3d_pml_hz.cpp
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#include "FDTD_3D_PML_Hz.h"
///////////////////////////////////////////////////////////////////////////////////////
//Calculate Hz field
///////////////////////////////////////////////////////////////////////////////////////
void CFDTD_3D_PML::calc_Hz_1()
{
long i, j, k;
double Bz_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++)
{
Bz_r = Bz_1[i][j][k];
Bz_1[i][j][k] = K_Bz_a_1[i]*Bz_1[i][j][k] +
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_1[k]*Bz_1[i][j][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
}
}
}
void CFDTD_3D_PML::calc_Hz_2()
{
long i, j, k, ia;
double Bz_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++)
{
Bz_r = Bz_2[ia][j][k];
Bz_2[ia][j][k] += ( (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_1[k]*Bz_2[ia][j][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hz_3()
{
long i, j, k, ia, ii;
double Bz_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++)
{
Bz_r = Bz_3[ia][j][k];
Bz_3[ia][j][k] = K_Bz_a_2[ii]*Bz_3[ia][j][k] +
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_1[k]*Bz_3[ia][j][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hz_4()
{
long i, j, k, ja;
double Bz_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++)
{
Bz_r = Bz_4[i][ja][k];
Bz_4[i][ja][k] = K_Bz_a_1[i]*Bz_4[i][ja][k] +
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_1[k]*Bz_4[i][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
}
}
}
void CFDTD_3D_PML::calc_Hz_5()
{
long i, j, k, ia, ja;
double Bz_r;
//5
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++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bz_r = Bz_5[ia][ja][k];
Bz_5[ia][ja][k] += ( (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_1[k]*Bz_5[ia][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hz_6()
{
long i, j, k, ia, ja, ii;
double Bz_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_1_MIN_nPML_y_2; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bz_r = Bz_6[ia][ja][k];
Bz_6[ia][ja][k] = K_Bz_a_2[ii]*Bz_6[ia][ja][k] +
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_1[k]*Bz_6[ia][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hz_7()
{
long i, j, k, ja, jj;
double Bz_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++)
{
Bz_r = Bz_7[i][ja][k];
Bz_7[i][ja][k] = K_Bz_a_1[i]*Bz_7[i][ja][k] +
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_1[k]*Bz_7[i][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
}
}
void CFDTD_3D_PML::calc_Hz_8()
{
long i, j, k, ia, ja, jj;
double Bz_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_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bz_r = Bz_8[ia][ja][k];
Bz_8[ia][ja][k] += ( (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_1[k]*Bz_8[ia][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
ia++;
}
}
void CFDTD_3D_PML::calc_Hz_9()
{
long i, j, k, ia, ja, ii, jj;
double Bz_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_1_MIN_nPML_y_2; j < ny_MIN_1; j++)
{
for (k = 0; k < nPML_z_1; k++)
{
Bz_r = Bz_9[ia][ja][k];
Bz_9[ia][ja][k] = K_Bz_a_2[ii]*Bz_9[ia][ja][k] +
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_1[k]*Bz_9[ia][ja][k] +
K_Hz_d_1[k]*Bz_r )/Mat[Ind[i][j][k]][1];
}
ja++;
jj--;
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hz_10()
{
long i, j, k, ka;
double Bz_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_nPML_z_2; k++)
{
Bz_r = Bz_10[i][j][ka];
Bz_10[i][j][ka] = K_Bz_a_1[i]*Bz_10[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]*TwoOREp0DIVMu0*( Bz_10[i][j][ka] - Bz_r )/Mat[Ind[i][j][k]][1];
ka++;
}
}
}
}
void CFDTD_3D_PML::calc_Hz_11()
{
long i, j, k;
//11
for (i = nPML_x_1; i < nx_MIN_1_MIN_nPML_x_2; i++)
{
for (j = 0; j < nPML_y_1; j++)
{
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Hz[i][j][k] = K_Hz_a_1[j]*Hz[i][j][k] + K_Hz_b_1[j]/Mat[Ind[i][j][k]][1]*
( (Ex[i][j+1][k] - Ex[i][j][k])*TwoOREp0DIVMu0ORdtDIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*TwoOREp0DIVMu0ORdtDIVdx );
}
}
}
}
void CFDTD_3D_PML::calc_Hz_12()
{
long i, j, k, ia, ka, ii;
double Bz_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_nPML_z_2; k++)
{
Bz_r = Bz_12[ia][j][ka];
Bz_12[ia][j][ka] = K_Bz_a_2[ii]*Bz_12[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]*TwoOREp0DIVMu0*( Bz_12[ia][j][ka] - Bz_r )/Mat[Ind[i][j][k]][1];
ka++;
}
}
ia++;
ii--;
}
}
void CFDTD_3D_PML::calc_Hz_13()
{
long i, j, k;
//13
for (i = 0; i < nPML_x_1; i++)
{
for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
{
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
Hz[i][j][k] = K_Bz_a_1[i]*Hz[i][j][k] + K_Bz_b_1[i]/Mat[Ind[i][j][k]][1]*
( (Ex[i][j+1][k] - Ex[i][j][k])*inv_dyORmu_0 -
(Ey[i+1][j][k] - Ey[i][j][k])*inv_dxORmu_0 );
}
}
}
}
void CFDTD_3D_PML::calc_Hz_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++)
{
Hz[i][j][k] += ( (Ex[i][j+1][k] - Ex[i][j][k])*dtDIVMu0DIVdy -
(Ey[i+1][j][k] - Ey[i][j][k])*dtDIVMu0DIVdx )/Mat[Ind[i][j][k]][1];
}
}
}
}
void CFDTD_3D_PML::calc_Hz_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_1_MIN_nPML_y_2; j++)
{
for (k = nPML_z_1; k < nz_MIN_nPML_z_2; k++)
{
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