These spatial updates are inside the main for-loop for time update, spanning the entire time grid. This is shown by two alternating vector updates spanning only a part of spatial grid where the wave, starting from source, has reached at that particular time instant avoiding field updates at all points in the grid which is unnecessary at that time instant. Here, H-fields i.e Hx and Hy are updated every half time-step and E fields i.e Ez are updated every full time-step. Also, the time update is done using Leapfrog time-stepping. More precisely, the Hx part is defined at every half y-coordinate and full x-coordinate and the Hy part is defined at every half x-coordinate and full y-coordinate and E fields i.e the Ez part is defined at every full x and full y-coordinate points.Also here, the space-step length is taken as 1 micron instead of 1 unit in unitless domain assumed in previous programs. The H fields are defined at every half coordinate of spacesteps.
The field points are defined in a grid described by Yee's algorithm. The update is done using standard update equations obtained from the difference form of Maxwell's curl equations with very low electric and magnetic conductivities of 4x10^(-4) units incorporated in them.
The fields are updated at every time step, in a space, where all physical parameters of free space are not normalized to 1 but are given real and known values. Electrical Engg.Ī 2D TM wave containing the xy-plane polarized magnetic field having components Hy and Hx and z-polarized electric field Ez. Indian Institute of Technology Madras (IITM) Computational Electromagnetics, Fall 2011
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