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📄 fdtd_3d_pml_ez.cpp

📁 利用c++语言写的三维FDTD
💻 CPP
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			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				Fz_r = Fz_15[ia][ja][ka];

				Fz_15[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_15[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Ez[i][j][k] =  K_Gz_a_2[ii]*Ez[i][j][k] + 
					           K_Gz_b_2[ii]*(Fz_15[ia][ja][ka] - Fz_r);
				ka++;
			}
			ja++;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ez_16()
{
	long  i, j, k, jj, ja, ka;
	double Fz_r, Gz_r;
	
	//16
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		jj = nPML_y_2_MIN_1;
		for (j = ny_MIN_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				Fz_r = Fz_16[i][ja][ka];

				Fz_16[i][ja][ka] = K_a[Ind[i][j][k]]*Fz_16[i][ja][ka] +
				                   K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                       (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_16[i][ja][ka];

				Gz_16[i][ja][ka] = K_Gz_a_1[i]*Gz_16[i][ja][ka] + 
					               K_Gz_b_1[i]*(Fz_16[i][ja][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*TwoOREp0*( Gz_16[i][ja][ka] - Gz_r);
				ka++;
			}
			ja++;
			jj--;
		}
	}
}

void CFDTD_3D_PML::calc_Ez_17()
{
	long  i, j, k, jj, ia, ja, ka;
	double Fz_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_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				Fz_r = Fz_17[ia][ja][ka];

				Fz_17[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_17[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*TwoOREp0*( Fz_17[ia][ja][ka] - Fz_r);
				ka++;
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ez_18()
{
	long  i, j, k, ii, jj, ia, ja, ka;
	double Fz_r, Gz_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_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			for (k = nPML_z_1; k < nz_MIN_1_MIN_nPML_z_2; k++)
			{
				Fz_r = Fz_18[ia][ja][ka];

				Fz_18[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_18[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_18[ia][ja][ka];

				Gz_18[ia][ja][ka] = K_Gz_a_2[ii]*Gz_18[ia][ja][ka] + 
					                K_Gz_b_2[ii]*(Fz_18[ia][ja][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*TwoOREp0*( Gz_18[ia][ja][ka] - Gz_r);
				ka++;
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ez_19()
{
	long  i, j, k, kk, ka;
	double Fz_r, Gz_r;

	//19
	for (i = 1; i < nPML_x_1; i++)
	{	
		for (j = 1; 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++)
			{
				Fz_r = Fz_19[i][j][ka];

				Fz_19[i][j][ka] = K_a[Ind[i][j][k]]*Fz_19[i][j][ka] +
				                  K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                      (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_19[i][j][ka];

				Gz_19[i][j][ka] = K_Gz_a_1[i]*Gz_19[i][j][ka] + 
					              K_Gz_b_1[i]*(Fz_19[i][j][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_1[j]*Ez[i][j][k] + 
					          K_Ez_b_1[j]*( K_Ez_c_2[kk]*Gz_19[i][j][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
		}
	}
}

void CFDTD_3D_PML::calc_Ez_20()
{
	long  i, j, k, kk, ia, ka;
	double Fz_r;

	//20
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		for (j = 1; 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++)
			{
				Fz_r = Fz_20[ia][j][ka];

				Fz_20[ia][j][ka] = K_a[Ind[i][j][k]]*Fz_20[ia][j][ka] +
				                   K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                       (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

				Ez[i][j][k] = K_Ez_a_1[j]*Ez[i][j][k] + 
					          K_Ez_b_1[j]*( K_Ez_c_2[kk]*Fz_20[ia][j][ka] + K_Ez_d_2[kk]*Fz_r);
				ka++;
				kk--;
			}
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ez_21()
{
	long  i, j, k, ii, kk, ia, ka;
	double Fz_r, Gz_r;

	//21
	ia = 0;
	ii = nPML_x_2_MIN_1;
	for (i = nx_MIN_nPML_x_2; i < nx_MIN_1; i++)
	{	
		for (j = 1; 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++)
			{
				Fz_r = Fz_21[ia][j][ka];

				Fz_21[ia][j][ka] = K_a[Ind[i][j][k]]*Fz_21[ia][j][ka] +
				                   K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                       (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_21[ia][j][ka];

				Gz_21[ia][j][ka] = K_Gz_a_2[ii]*Gz_21[ia][j][ka] + 
					               K_Gz_b_2[ii]*(Fz_21[ia][j][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_1[j]*Ez[i][j][k] + 
					          K_Ez_b_1[j]*( K_Ez_c_2[kk]*Gz_21[ia][j][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ez_22()
{
	long  i, j, k, kk, ja, ka;
	double Fz_r, Gz_r;

	//22
	for (i = 1; 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++)
			{
				Fz_r = Fz_22[i][ja][ka];

				Fz_22[i][ja][ka] = K_a[Ind[i][j][k]]*Fz_22[i][ja][ka] +
				                   K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                       (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_22[i][ja][ka];

				Gz_22[i][ja][ka] = K_Gz_a_1[i]*Gz_22[i][ja][ka] + 
					               K_Gz_b_1[i]*(Fz_22[i][ja][ka] - Fz_r);

				Ez[i][j][k] += inv_TwoOREp0*( K_Ez_c_2[kk]*Gz_22[i][ja][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
			ja++;
		}
	}
}

void CFDTD_3D_PML::calc_Ez_23()
{
	long  i, j, k, kk, ia, ja, ka;
	double Fz_r;

	//23
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; 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++)
			{
				Fz_r = Fz_23[ia][ja][ka];

				Fz_23[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_23[ia][ja][ka] +
				                  K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                      (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

				Ez[i][j][k] += inv_TwoOREp0*( K_Ez_c_2[kk]*Fz_23[ia][ja][ka] + K_Ez_d_2[kk]*Fz_r);
				ka++;
				kk--;
			}
			ja++;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ez_24()
{
	long  i, j, k, ii, kk, ia, ja, ka;
	double Fz_r, Gz_r;

	//24
	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_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++)
			{
				Fz_r = Fz_24[ia][ja][ka];

				Fz_24[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_24[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_24[ia][ja][ka];

				Gz_24[ia][ja][ka] = K_Gz_a_2[ii]*Gz_24[ia][ja][ka] + 
					                K_Gz_b_2[ii]*(Fz_24[ia][ja][ka] - Fz_r);

				Ez[i][j][k] += inv_TwoOREp0*( K_Ez_c_2[kk]*Gz_24[ia][ja][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
			ja++;
		}
		ia++;
		ii--;
	}
}

void CFDTD_3D_PML::calc_Ez_25()
{
	long  i, j, k, jj, kk, ja, ka;
	double Fz_r, Gz_r;

	//25
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		jj = nPML_y_2_MIN_1;
		for (j = ny_MIN_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				Fz_r = Fz_25[i][ja][ka];

				Fz_25[i][ja][ka] = K_a[Ind[i][j][k]]*Fz_25[i][ja][ka] +
				                   K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                       (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_25[i][ja][ka];

				Gz_25[i][ja][ka] = K_Gz_a_1[i]*Gz_25[i][ja][ka] + 
					               K_Gz_b_1[i]*(Fz_25[i][ja][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*( K_Ez_c_2[kk]*Gz_25[i][ja][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
	}
}

void CFDTD_3D_PML::calc_Ez_26()
{
	long  i, j, k, jj, kk, ia, ja, ka;
	double Fz_r;

	//26
	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_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				Fz_r = Fz_26[ia][ja][ka];

				Fz_26[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_26[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

				Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*( K_Ez_c_2[kk]*Fz_26[ia][ja][ka] + K_Ez_d_2[kk]*Fz_r);
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void CFDTD_3D_PML::calc_Ez_27()
{
	long  i, j, k, ii, jj, kk, ia, ja, ka;
	double Fz_r, Gz_r;

	//27
	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_nPML_y_2; j < ny_MIN_1; j++)
		{	
			ka = 0;
			kk = nPML_z_2_MIN_1;
			for (k = nz_MIN_1_MIN_nPML_z_2; k < nz_MIN_1; k++)
			{
				Fz_r = Fz_27[ia][ja][ka];

				Fz_27[ia][ja][ka] = K_a[Ind[i][j][k]]*Fz_27[ia][ja][ka] +
				                    K_b[Ind[i][j][k]]*( (Hy[i][j][k] - Hy[i-1][j][k])*inv_dx -
								                        (Hx[i][j][k] - Hx[i][j-1][k])*inv_dy );

			    Gz_r = Gz_27[ia][ja][ka];

				Gz_27[ia][ja][ka] = K_Gz_a_2[ii]*Gz_27[ia][ja][ka] + 
					                K_Gz_b_2[ii]*(Fz_27[ia][ja][ka] - Fz_r);

				Ez[i][j][k] = K_Ez_a_2[jj]*Ez[i][j][k] + 
					          K_Ez_b_2[jj]*( K_Ez_c_2[kk]*Gz_27[ia][ja][ka] + K_Ez_d_2[kk]*Gz_r);
				ka++;
				kk--;
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}
}

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