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📄 fdtd_3d_pml_hy.cpp

📁 采用UMPL边界的FDTD编程
💻 CPP
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			{
				Hy[i][j][k] = K_Hy_a_2[ii]*Hy[i][j][k] + K_Hy_b_2[ii]/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 );
			}
		}
		ii--;
	}
}

void CFDTD_3D_PML::calc_Hy_16()
{
	long  i, j, k, ja, ka, jj;
	double By_r;

	//16
	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++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				By_r = By_16[i][ja][ka];

				By_16[i][ja][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_2[jj]*By_16[i][ja][ka] + 
							                K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
			}
			ja++;
			jj--;
		}
	}
}

void CFDTD_3D_PML::calc_Hy_17()
{
	long  i, j, k, ia, ja, ka, jj;
	double By_r;
	
	//17
	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++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				By_r = By_17[ia][ja][ka];

				By_17[ia][ja][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_2[jj]*By_17[ia][ja][ka] + 
							                  K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Hy_18()
{
	long  i, j, k, ia, ja, ka, ii, jj;
	double By_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_nPML_y_2; j < ny; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				By_r = By_18[ia][ja][ka];

				By_18[ia][ja][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_2[jj]*By_18[ia][ja][ka] + 
							                 K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Hy_19()
{
	long  i, j, k, ka, kk;
	double By_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_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_19[i][j][ka];

				By_19[i][j][ka] = K_By_a_2[kk]*By_19[i][j][ka] +
					              K_By_b_2[kk]*( (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_19[i][j][ka] + 
							                K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
		}
	}
}

void CFDTD_3D_PML::calc_Hy_20()
{
	long  i, j, k, ia, ka, kk;
	double By_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_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_20[ia][j][ka];

				By_20[ia][j][ka] = K_By_a_2[kk]*By_20[ia][j][ka] +
					               K_By_b_2[kk]*( (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_20[ia][j][ka] + 
							                  K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Hy_21()
{
	long  i, j, k, ia, ka, ii, kk;
	double By_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_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_21[ia][j][ka];

				By_21[ia][j][ka] = K_By_a_2[kk]*By_21[ia][j][ka] +
					               K_By_b_2[kk]*( (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_21[ia][j][ka] + 
							                 K_Hy_d_1[j]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Hy_22()
{
	long  i, j, k, ja, ka, kk;
	double By_r;

	//22
	for (i = 0; i < nPML_x_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_nPML_y_2; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_22[i][ja][ka];

				By_22[i][ja][ka] = K_By_a_2[kk]*By_22[i][ja][ka] +
					               K_By_b_2[kk]*( (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_22[i][ja][ka] - By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
			ja++;
		}
	}
}

void CFDTD_3D_PML::calc_Hy_23()
{
	long  i, j, k, kk;
	
	//23
	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++)
		{	
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				Hy[i][j][k] = K_By_a_2[kk]*Hy[i][j][k] + K_By_b_2[kk]/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 );
				kk--;
			}
		}
	}
}

void CFDTD_3D_PML::calc_Hy_24()
{
	long  i, j, k, ia, ja, ka, ii, kk;
	double By_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_nPML_y_2; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_24[ia][ja][ka];

				By_24[ia][ja][ka] = K_By_a_2[kk]*By_24[ia][ja][ka] +
					                K_By_b_2[kk]*( (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_24[ia][ja][ka] - By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
			ja++;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Hy_25()
{
	long  i, j, k, ja, ka, jj, kk;
	double By_r;

	//25
	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++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_25[i][ja][ka];

				By_25[i][ja][ka] = K_By_a_2[kk]*By_25[i][ja][ka] +
					               K_By_b_2[kk]*( (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_25[i][ja][ka] + 
							                K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
	}
}

void CFDTD_3D_PML::calc_Hy_26()
{
	long  i, j, k, ia, ja, ka, jj, kk;
	double By_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_nPML_y_2; j < ny; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_26[ia][ja][ka];

				By_26[ia][ja][ka] = K_By_a_2[kk]*By_26[ia][ja][ka] +
					                K_By_b_2[kk]*( (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_26[ia][ja][ka] + 
							                  K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Hy_27()
{
	long  i, j, k, ia, ja, ka, ii, jj, kk;
	double By_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_nPML_y_2; j < ny; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				By_r = By_27[ia][ja][ka];

				By_27[ia][ja][ka] = K_By_a_2[kk]*By_27[ia][ja][ka] +
					                K_By_b_2[kk]*( (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_27[ia][ja][ka] + 
							                 K_Hy_d_2[jj]*By_r )/Mat[Ind[i][j][k]][1];
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}
}

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