Geodesic
Change of the Ray Propagation Mode in Smoothly Irregular Waveguides
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 348-364

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We study the ray propagation path in a plane smoothly irregular waveguide. The following two modes of ray propagation are possible: with reflections and without reflections from the waveguide walls. In each of these modes, the problem has an adiabatic invariant. We obtain an asymptotic formula for the value of the adiabatic invariant jump as the propagation mode changes.
Keywords: geometrical optics, plane irregular waveguide, separatrix, quasi-random jump.
Mots-clés : ray propagation, adiabatic invariant, action variable 
@article{MZM_2008_84_3_a2,
     author = {I. V. Gorelyshev and A. I. Neishtadt},
     title = {Change of the {Ray} {Propagation} {Mode} in {Smoothly} {Irregular} {Waveguides}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {348--364},
     publisher = {mathdoc},
     volume = {84},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a2/}
}
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I. V. Gorelyshev; A. I. Neishtadt. Change of the Ray Propagation Mode in Smoothly Irregular Waveguides. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 348-364. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a2/