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📄 fdtd_3d_pml_ey.cpp

📁 利用c++语言写的三维FDTD
💻 CPP
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#include "fdtd_3d_pml_ey.h"

///////////////////////////////////////////////////////////////////////////////////////
//Calculate Ey field
///////////////////////////////////////////////////////////////////////////////////////
void calc_Ey_1(double ***Ey, double ***Hx, double ***Hz, double ***Fy_1, double ***Gy_1,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  i, j, k;
	double Fy_r, Gy_r;

	//1
	for (i = 1; i < nPML_x_1; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_1[i][j][k];
				
				Fy_1[i][j][k] = K_a[Ind[i][j][k]]*Fy_1[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 );

				Gy_r = Gy_1[i][j][k];

				Gy_1[i][j][k] = K_Gy_a_1[k]*Gy_1[i][j][k] + 
					            K_Gy_b_1[k]*(Fy_1[i][j][k] - 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_1[i][j][k] + K_Ey_d_1[j]*Gy_r);
			}
		}
	}
}

void calc_Ey_2(double ***Ey, double ***Hx, double ***Hz, double ***Fy_2, double ***Gy_2,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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, 
			   double inv_TwoOREp0)
{
	long  i, j, k, ia;
	double Fy_r, Gy_r;

	//2
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		for (j = 0; j < nPML_y_1; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_2[ia][j][k];
				
				Fy_2[ia][j][k] = K_a[Ind[i][j][k]]*Fy_2[ia][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 );

				Gy_r = Gy_2[ia][j][k];

				Gy_2[ia][j][k] = K_Gy_a_1[k]*Gy_2[ia][j][k] + 
					             K_Gy_b_1[k]*(Fy_2[ia][j][k] - Fy_r);

				Ey[i][j][k] +=  inv_TwoOREp0*( K_Ey_c_1[j]*Gy_2[ia][j][k] + 
					                           K_Ey_d_1[j]*Gy_r);
			}
		}
		ia++;
	}
}

void calc_Ey_3(double ***Ey, double ***Hx, double ***Hz, double ***Fy_3, double ***Gy_3,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  nPML_x_2_MIN_1)
{
	long  i, j, k, ii, ia;
	double Fy_r, Gy_r;

	//3
	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++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_3[ia][j][k];
				
				Fy_3[ia][j][k] = K_a[Ind[i][j][k]]*Fy_3[ia][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 );

				Gy_r = Gy_3[ia][j][k];

				Gy_3[ia][j][k] = K_Gy_a_1[k]*Gy_3[ia][j][k] + 
					             K_Gy_b_1[k]*(Fy_3[ia][j][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*( K_Ey_c_1[j]*Gy_3[ia][j][k] + K_Ey_d_1[j]*Gy_r);
			}
		}
		ia++;
		ii--;
	}
}

void calc_Ey_4(double ***Ey, double ***Hx, double ***Hz, double ***Fy_4, double ***Gy_4,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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, 
			   double TwoOREp0)
{
	long  i, j, k, ja;
	double Fy_r, Gy_r;

	//4
	for (i = 1; i < nPML_x_1; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_4[i][ja][k];
				
				Fy_4[i][ja][k] = K_a[Ind[i][j][k]]*Fy_4[i][ja][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 );

				Gy_r = Gy_4[i][ja][k];

				Gy_4[i][ja][k] = K_Gy_a_1[k]*Gy_4[i][ja][k] + 
					             K_Gy_b_1[k]*(Fy_4[i][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_1[i]*Ey[i][j][k] + 
					          K_Ey_b_1[i]*TwoOREp0*( Gy_4[i][ja][k] - Gy_r);
			}
			ja++;
		}
	}

}

void calc_Ey_5(double ***Ey, double ***Hx, double ***Hz, double ***Fy_5, long  ***Ind, 
			   double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   double inv_dx, double inv_dz, long  nPML_x_1, long  nx_MIN_nPML_x_2, 
			   long  nPML_y_1, long  ny_MIN_1_MIN_nPML_y_2, long  nPML_z_1)
{
	long  i, j, k, ia, ja;
	double Fy_r;

	//5
	ia = 0;
	for (i = nPML_x_1; i < nx_MIN_nPML_x_2; i++)
	{	
		ja = 0;
		for (j = nPML_y_1; j < ny_MIN_1_MIN_nPML_y_2; j++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_5[ia][ja][k];
				
				Fy_5[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_5[ia][ja][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 );

				Ey[i][j][k] = K_Gy_a_1[k]*Ey[i][j][k] + 
					          K_Gy_b_1[k]*(Fy_5[ia][ja][k] - Fy_r);

			}
			ja++;
		}
		ia++;
	}
}

void calc_Ey_6(double ***Ey, double ***Hx, double ***Hz, double ***Fy_6, double ***Gy_6,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  nPML_x_2_MIN_1, 
			   double TwoOREp0)
{
	long  i, j, k, ii, ia, ja;
	double Fy_r, Gy_r;
	
	//6
	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++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_6[ia][ja][k];
				
				Fy_6[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_6[ia][ja][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 );

				Gy_r = Gy_6[ia][ja][k];

				Gy_6[ia][ja][k] = K_Gy_a_1[k]*Gy_6[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_6[ia][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*TwoOREp0*( Gy_6[ia][ja][k] - Gy_r);
			}
			ja++;
		}
		ia++;
		ii--;
	}
}

void calc_Ey_7(double ***Ey, double ***Hx, double ***Hz, double ***Fy_7, double ***Gy_7,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  nPML_y_2_MIN_1)
{
	long  i, j, k, jj, ja;
	double Fy_r, Gy_r;

	//7
	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++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_7[i][ja][k];
				
				Fy_7[i][ja][k] = K_a[Ind[i][j][k]]*Fy_7[i][ja][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 );

				Gy_r = Gy_7[i][ja][k];

				Gy_7[i][ja][k] = K_Gy_a_1[k]*Gy_7[i][ja][k] + 
					             K_Gy_b_1[k]*(Fy_7[i][ja][k] - Fy_r);

				Ey[i][j][k] =  K_Ey_a_1[i]*Ey[i][j][k] + 
					           K_Ey_b_1[i]*( K_Ey_c_2[jj]*Gy_7[i][ja][k] + K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
	}
}

void calc_Ey_8(double ***Ey, double ***Hx, double ***Hz, double ***Fy_8, double ***Gy_8,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  nPML_y_2_MIN_1, double inv_TwoOREp0)
{
	long  i, j, k, jj, ia, ja;
	double Fy_r, Gy_r;

	//8
	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++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_8[ia][ja][k];
				
				Fy_8[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_8[ia][ja][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 );

				Gy_r = Gy_8[ia][ja][k];

				Gy_8[ia][ja][k] = K_Gy_a_1[k]*Gy_8[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_8[ia][ja][k] - Fy_r);

				Ey[i][j][k] +=  inv_TwoOREp0*( K_Ey_c_2[jj]*Gy_8[ia][ja][k] + 
					                           K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
		ia++;
	}
}

void calc_Ey_9(double ***Ey, double ***Hx, double ***Hz, double ***Fy_9, double ***Gy_9,
			   long  ***Ind, double *K_a, double *K_b, double *K_Gy_a_1, double *K_Gy_b_1,
			   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  nPML_x_2_MIN_1,
			   long  nPML_y_2_MIN_1)
{
	long  i, j, k, ii, jj, ia, ja;
	double Fy_r, Gy_r;

	//9
	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++)
		{	
			for (k = 1; k < nPML_z_1; k++)
			{
				Fy_r = Fy_9[ia][ja][k];
				
				Fy_9[ia][ja][k] = K_a[Ind[i][j][k]]*Fy_9[ia][ja][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 );

				Gy_r = Gy_9[ia][ja][k];

				Gy_9[ia][ja][k] = K_Gy_a_1[k]*Gy_9[ia][ja][k] + 
					              K_Gy_b_1[k]*(Fy_9[ia][ja][k] - Fy_r);

				Ey[i][j][k] = K_Ey_a_2[ii]*Ey[i][j][k] + 
					          K_Ey_b_2[ii]*( K_Ey_c_2[jj]*Gy_9[ia][ja][k] + K_Ey_d_2[jj]*Gy_r);
			}
			ja++;
			jj--;
		}
		ia++;
		ii--;
	}

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