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Talbot effect in cylindrical waveguides

✍ Scribed by L. Praxmeyer; K. Wódkiewicz

Book ID
104073420
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
662 KB
Volume
268
Category
Article
ISSN
0030-4018

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✦ Synopsis

We extend the theory of Talbot revivals for planar or rectangular geometry to the case of cylindrical waveguides. We derive a list of conditions that are necessary to obtain revivals in cylindrical geometry. A phase space approach based on the Wigner and the Kirkwood-Rihaczek functions provides a pictorial representation of interference phenomena that lead to the Talbot effect.

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## Abstract We study the large time asymptotics of the solutions __u__(__x__,__t__) of the Dirichlet and the Neumann initial boundary value problem for the wave equation with time‐harmonic right‐hand side in domains Ω which are composed of a finite number of disjoint half‐cylinders Ω~1~,…,Ω~r~ with