The evanescent waves in geometrical optics and the mixed hyperbolic-elliptic type systems (Articolo in rivista)

Type
Label
  • The evanescent waves in geometrical optics and the mixed hyperbolic-elliptic type systems (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1080/00036810500277173 (literal)
Alternative label
  • De Micheli Enrico; Viano Giovanni Alberto (2006)
    The evanescent waves in geometrical optics and the mixed hyperbolic-elliptic type systems
    in Applicable analysis
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 181 (literal)
Pagina fine
  • 204 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.tandfonline.com/doi/abs/10.1080/00036810500277173 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 85 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1-3 (literal)
Note
  • athematical Reviews on the web (MathSciNet) (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • The evanescent waves in geometrical optics and the mixed hyperbolic-elliptic type systems (literal)
Abstract
  • In this article we describe the generation of the evanescent waves which are present in the rarer medium at total reflection by using a mixed-type system, the Ludwig system, which leads naturally to consider a complex-valued phase. The Ludwig system is derived from the Helmholtz equation by using an appropriate modification of the stationary phase procedure: the Chester, Friedman and Ursell's method. The passage from the illuminated to the shadow region is described by means of the ray switching mechanism based on the Stokes phenomenon applied to the Airy function. Finally, the transport system connected to the Ludwig eikonal system is studied in the case of linear wavefronts and the existence of the Goos–Hänchen effect is proved. (literal)
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