Title

Strength Of Electromagnetic, Acoustic And Schrödinger Reflections

Keywords

Acoustic waves; Continuous spectrum; Electromagnetic waves; Reflection; Schrödinger equation

Abstract

The notion of reflection strength S of a plane wave by an arbitrary non-absorbing layer is introduced, so that the intensity of reflection is R=tanh2S. We have shown that the total strength of reflection by a sequence of elements is expressed through particular element strengths and mutual phases between them by a simple addition rule; in particular, its possible maximum is the sum of the absolute strengths of constituents. We show that the standard Fresnel reflection may be understood in terms of variable S as a sum or difference of two separate contributions, due to an impedance step and a speed step. Strength of reflection for propagating acoustic and quantum mechanical waves is also discussed. © 2008 The Royal Society.

Publication Date

11-8-2008

Publication Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volume

464

Issue

2099

Number of Pages

3071-3080

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1098/rspa.2008.0100

Socpus ID

52949101043 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/52949101043

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