The transient plane-wave field reflected by a conductorbacked, inhomogeneous, planar material layer is considered.The reflected field is written as a natural-mode expansion, and the natural resonance frequencies of the slab are found by solving a homogeneous integral equation for the field within the slab.Several examples are considered, and the natural mode series is verified by comparison to the inverse fast-Fourier transform of the frequency-domain reflected field.
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Edward J. Rothwell (2006) studied this question.
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