Geometrical theory of diffracted rays, orbiting and complex rays
DOI10.1134/S1061920806030034zbMath1114.58023arXiv1307.6061OpenAlexW2120626607MaRDI QIDQ871774
Giovanni Alberto Viano, Enrico De Micheli
Publication date: 26 March 2007
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6061
causticeikonal approximationevanescent wavesclassical stationary phase methodcreeping wavesmolecular scattering
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications of global differential geometry to the sciences (53C80) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Geodesics in global differential geometry (53C22) Molecular physics (81V55) Perturbations of PDEs on manifolds; asymptotics (58J37)
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Cites Work
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- The Riemannian obstacle problem
- Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
- Diffraction in the semiclassical approximation to Feynman's path integral representation of the Green function
- Propagation of singularities for the wave equation on conic manifolds
- Morse Theory. (AM-51)
- RIEMANNIAN GEOMETRICAL OPTICS: SURFACE WAVES IN DIFFRACTIVE SCATTERING
- The evanescent waves in geometrical optics and the mixed hyperbolic–elliptic type systems
- Uniform asymptotic theory of creeping waves
- Uniform asymptotic expansions at a caustic
- The stationary phase method and pseudodifferential operators
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