The evanescent waves in geometrical optics and the mixed hyperbolic–elliptic type systems

DOI10.1080/00036810500277173zbMath1100.78005arXivmath-ph/0608040OpenAlexW1969686978WikidataQ58247718 ScholiaQ58247718MaRDI QIDQ5201459

Giovanni Alberto Viano, Enrico De Micheli

Publication date: 19 April 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608040

zbMATH Keywords

geometric opticsStokes phenomenonevanescent wavesGoos-Hänchen effectmixed-type systems

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Geometric optics (78A05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (1)

Geometrical theory of diffracted rays, orbiting and complex rays

Cites Work

• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Bäcklund transformations and their applications
• A Ray Description of All Wavefields Generated by a High-Frequency Point Source near an Interface
• Smoothing of Stokes discontinuities
• Multiple Scales Expansions Near Critical Rays
• Overlapping Stokes smoothings: survival of the error function and canonical catastrophe integrals
• On Complex-Valued Solutions to a Two-Dimensional Eikonal Equation. II. Existence Theorems
• On the Theory of Complex Rays
• Uniform asymptotic smoothing of Stokes’s discontinuities
• Berechnung der Seitenversetzung des totalreflektierten Strahles

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