Classical electromagnetism by Jerrold Franklin

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Therefore the only parameters to be determined are Y0k and Zsk. 33] c  1  0 0 being the velocity of light. 35] i,j,k  x,y,z i  j,k . 3D Nodes 43 If the network is cubic, then I = j = k = l and we then find: tmax  l . 35] it follows that if the mesh step is increased in one direction in order to decrease the required memory, the maximum time step will decrease proportionally, which signifies that the computing time will also increase. What is gained on one side is lost on the other.

Knowledge of these expressions enables the eventual correction of the velocity error, if the direction of propagation of the wave is known. 2. Case of parallel nodes with permittivity and loss stubs This time, the nodes of the periodic structure include a supplementary open circuit stub of length l/2 with normalized characteristic admittance Ys and a semi-infinite stub with normalized conductance G0. 41] where G0 is the loss stub conductance and Ys is the permittivity stub admittance   2  l /  .

4. SCN and central connection 3D Nodes 33 For simulating variable, non-cubic meshing and other more general media, only the stubs technique has been used with this node; six reactive arms are added to the center of the cell. The scattering matrix is thus a matrix of size 18 × 18. The incident and reflected voltages for each input are linked by this scattering matrix [HOE 89]. Fields E and H can be calculated at the center of any cell, at each iteration, from a linear combination of the incident voltages.

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