Abstract
Using Ambartsumian's principle of invariance we investigate for radio waves the reflection coefficient of a plane inhomogeneous slab. We find that the reflection coefficient, as a function of slab thickness, satisfies the Riccati equation. From this equation we deduce a geometric theorem on the upper and lower bounds of the reflection coefficient. We illustrate the theorem by applying it to several special cases.
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References
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See, for example, V.L. Ginzburg:The Propagation of Electromagnetic Waves in Plasmas (Pergamon Press, London 1964)
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