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Natural-mode representation of transient scattered fields

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1 Author(s)
Marin, L. ; Dikewood Corp., Los Angeles, CA, USA

Electromagnetic scattering from a perfectly conducting body of finite extent is considered from an integral equation point of view. It is shown that the operator inverse to the integral operator of the magnetic field formulation is an analytic operator-valued function in the complex frequency plane except at certain points (the natural frequencies) where it has poles. Furthermore, a representation of the inverse operator in terms of the natural frequencies and the nontrivial solutions of the homogeneous integral equation is given. Explicit expressions for the scattered field in terms of exponentially damped sinusoidal oscillations are given for the special case where the incident wave is a delta-function plane wave and the inverse operator has only simple poles.

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Antennas and Propagation, IEEE Transactions on  (Volume:21 ,  Issue: 6 )