TF/SF Taflove Computer Implementation

时间：03-30 整理：3721RD 点击：

I am trying to implement my own 3D FDTD based on Taflove's book, however I'm running into trouble with my TF/SF implementation. I am attempting to model free space, with no scatterers, yet I am getting significant fields outside the Total Field region. I am modelling a 10 GHz sine wave with a deltax of 0.002.

I don't expect you to debug my code, but if anyone has an implementation of the fully general 3D TF/SF, not just in one direction, that would be fantastic. I am confident that I have accounted for the 1/2 offsets correctly, but I would like to confirm.

Thanks for your help

Code:

	Code C - [expand]

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void FDTD::TFSF()
{
  int i,j,k; 
  
 
  /******************
   * Y Face H Updates
  ******************/
  
  //Initial Y 
  j = TFSF_y0-1;
   
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Hz(i,j,k) -= Ce1D*ExInc(i,j+1,k);
  
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(k = TFSF_z0; k < TFSF_z1; k++)
      Hx(i,j,k) += Ce1D*EzInc(i,j+1,k);
 
  //Final Y
  
  j = TFSF_y1;
  
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Hz(i,j,k) += Ce1D*ExInc(i,j,k);
  
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(k = TFSF_z0; k < TFSF_z1; k++)
      Hx(i,j,k) -= Ce1D*EzInc(i,j,k);
 
 
  /********************
   * Z Face H Updates
   *******************/
  
  //Initial Z
  k = TFSF_z0-1;
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(j = TFSF_y0; j <= TFSF_y1; j++)
      Hy(i,j,k) += Ce1D*ExInc(i,j,k+1);
  
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(j = TFSF_y0; j < TFSF_y1; j++)
      Hx(i,j,k) -= Ce1D*EyInc(i,j,k+1);
  
  //Final Z
  k = TFSF_z1;
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(j = TFSF_y0; j <= TFSF_y1; j++)
      Hy(i,j,k) -= Ce1D*ExInc(i,j,k);
 
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(j = TFSF_y0; j < TFSF_y1; j++)
      Hx(i,j,k) += Ce1D*EyInc(i,j,k);
  
  /*****************
   *  X Face H Updates
   ****************/
   
  //Initial X
  i = TFSF_x0-1;
  
  for(j = TFSF_y0; j < TFSF_y1; j++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Hz(i,j,k) += Ce1D*EyInc(i+1,j,k);
   
  for(j = TFSF_y0; j <= TFSF_y1; j++)
    for(k = TFSF_z0; k < TFSF_z1; k++) 
      Hy(i,j,k) -= Ce1D*EzInc(i+1,j,k);
 
 
  //Final X
  i = TFSF_x1;
 
  for(j = TFSF_y0; j < TFSF_y1; j++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Hz(i,j,k) -=  Ce1D*EyInc(i,j,k);
  
  for(j = TFSF_y0; j <= TFSF_y1; j++)
    for(k = TFSF_z0; k < TFSF_z1; k++)
      Hy(i,j,k) += Ce1D*EzInc(i,j,k);
  
  
  
  /****************** 
   * Update 1D Grid 
   *****************/ 
  Update1D(); //Increment time for the 1D grid 
 
  /**************
   * Y Face E Updates
   *************/
 
  //Initial y
  j = TFSF_y0;
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Ex(i,j,k) -= Ch1D*HzInc(i,j-1,k); 
 
  j = TFSF_y0;
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(k = TFSF_z0; k < TFSF_z1; k++)
      Ez(i,j,k) += Ch1D * HxInc(i,j-1,k);
  
  //Final Y 
  j = TFSF_y1;
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Ex(i,j,k) += Ch1D*HzInc(i,j,k); 
 
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(k = TFSF_z0; k < TFSF_z1; k++)
      Ez(i,j,k) -= Ch1D*HxInc(i,j,k);
 
 
  /********************
   *  Z Face E Updates
   *******************/
  
  //Initial Z  
  k = TFSF_z0; 
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(j = TFSF_y0; j <= TFSF_y1; j++) 
      Ex(i,j,k) += Ch1D*HyInc(i,j,k-1);
 
   
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(j = TFSF_y0; j < TFSF_y1; j++)
      Ey(i,j,k) -= Ch1D*HxInc(i,j,k-1);
 
  //Final Z
  k = TFSF_z1;
  for(i = TFSF_x0; i < TFSF_x1; i++)
    for(j = TFSF_y0; j <= TFSF_y1; j++)
      Ex(i,j,k) -= Ch1D*HyInc(i,j,k);
  
  for(i = TFSF_x0; i <= TFSF_x1; i++)
    for(j = TFSF_y0; j < TFSF_y1; j++)
      Ey(i,j,k) += Ch1D*HxInc(i,j,k);
  
 
  /**************************
   *  X Face E Updates
   *************************/
  
  //Initial X
  i = TFSF_x0;
  
  for(j = TFSF_y0; j < TFSF_y1; j++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Ey(i,j,k) += Ch1D*HzInc(i-1,j,k);
  
  for(j = TFSF_y0; j <= TFSF_y1; j++)
    for(k = TFSF_z0; k < TFSF_z1; k++) 
      Ez(i,j,k) -= Ch1D*HyInc(i-1,j,k);
  
  //Final X
  i = TFSF_x1;
  for(j = TFSF_y0; j < TFSF_y1; j++)
    for(k = TFSF_z0; k <= TFSF_z1; k++)
      Ey(i,j,k) -= Ch1D*HzInc(i,j,k);
 
  for(j = TFSF_y0; j <= TFSF_y1; j++)
    for(k = TFSF_z0; k < TFSF_z1; k++) 
      Ez(i,j,k) += Ch1D*HyInc(i,j,k);
 
  return;
}

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