On a correction to the voltage/field relationship used in the condensed node TLM method

A new relationship, based in part on Maxwell's equations, between the voltages pulses used in the condensed node TLM (transmission line matrix) method and the electromagnetic fields is given. A numerical comparison between the old relationships given by Johns (1987) is made using the impulse response of a perfect electric conductor (PEC) cavity. It is found that the formulas of Johns yield time-domain response which is highly oscillatory near the source region, whereas those given in the present work are more physically correct. In addition, the response based on the results given is found to be in good agreement with the finite-difference time-domain response.<
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