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  On geometry of fronts in wave propagations

Tanabé, S. (1999). On geometry of fronts in wave propagations. In Geometry and topology of caustics—CAUSTICS '98 (pp. 287-304). Warszawa: Institute of Mathematics, Polish Academy of Sciences.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-7089-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-708A-2
Genre: Conference Paper

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Tanabe_On geometry of fronts in wave propagations_1999.pdf (Publisher version), 248KB
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https://doi.org/10.4064/-50-1-287-304 (Publisher version)
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Tanabé, Susumu1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: We give a geometric description of (wave) fronts in wave propagation processes. The concrete form of the defining function of a wave front issuing from the initial algebraic variety is obtained with the aid of the Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagation on the plane, we get restrictions on the types of possible cusps that can appear on the wave front.

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Language(s): eng - English
 Dates: 1999
 Publication Status: Issued
 Pages: 18
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 Rev. Type: -
 Identifiers: DOI: 10.4064/-50-1-287-304
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Title: Symposium on Geometry and topology of caustics — CAUSTICS '98
Place of Event: Warsaw
Start-/End Date: 1998-06-15 - 1998-06-27

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Title: Geometry and topology of caustics—CAUSTICS '98
Source Genre: Proceedings
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Publ. Info: Warszawa : Institute of Mathematics, Polish Academy of Sciences
Pages: 320 S. Volume / Issue: - Sequence Number: - Start / End Page: 287 - 304 Identifier: -

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Title: Banach Center Publications
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Pages: - Volume / Issue: 50 Sequence Number: - Start / End Page: - Identifier: ISSN: 0137-6934