Change of the Ray Propagation Mode in Smoothly Irregular Waveguides

被引：1

作者：

Gorelyshev, I. V. ^{[1
]}

Neishtadt, A. I. ^{[2
]}

机构：

[1] Russian Acad Sci, Space Res Inst, Moscow 117901, Russia

[2] Univ Loughborough, Great Britain, England

来源：

MATHEMATICAL NOTES | 2008年 / 84卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

geometrical optics; ray propagation; plane irregular waveguide; adiabatic invariant; action variable; separatrix; quasi-random jump;

D O I：

10.1134/S0001434608090034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：328 / 341

页数：14

共 50 条

[1] Change of the ray propagation mode in smoothly irregular waveguides
I. V. Gorelyshev
A. I. Neishtadt
Mathematical Notes, 2008, 84 : 328 - 341
[2] RAY THEORY OF MODE CONVERSION IN SMOOTH IRREGULAR WAVEGUIDES
KINBER, BE
KRAVTSOV, YA
RADIOTEKHNIKA I ELEKTRONIKA, 1977, 22 (12): : 2470 - 2479
[3] Mode propagation in X-ray waveguides
Choi, J.
Jung, J.
Kwon, T.
JOURNAL OF THE OPTICAL SOCIETY OF KOREA, 2008, 12 (02) : 112 - 117
[4] Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides
D. V. Divakov
A. A. Tyutyunnik
Programming and Computer Software, 2022, 48 : 80 - 89
[5] Symbolic Investigation of the Spectral Characteristics of Guided Modes in Smoothly Irregular Waveguides
Divakov, D., V
Tyutyunnik, A. A.
PROGRAMMING AND COMPUTER SOFTWARE, 2022, 48 (02) : 80 - 89
[6] MODE PROPAGATION IN MULTILAYERED DIELECTRIC LOADED WAVEGUIDES BY RAY THEORY
ROBINSON, JE
HAMID, MA
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1968, MT16 (04) : 261 - &
[7] Design of X-ray waveguides for the single-mode propagation
Choi, J.
Park, Y.
Kim, J.
PHOTONICS, DEVICES, AND SYSTEMS IV, 2008, 7138
[8] MODE PROPAGATION IN OPTICAL WAVEGUIDES
SNYDER, AW
ELECTRONICS LETTERS, 1970, 6 (18) : 561 - &
[9] MODE PROPAGATION IN ULTRASONIC WAVEGUIDES
CAROME, EF
LASTOVKA, JB
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1961, 33 (11): : 1679 - &
[10] Method of adiabatic modes in research of smoothly irregular integrated optical waveguides: zero approximation
Egorov, A. A.
Sevast'yanov, L. A.
Sevast'yanov, A. L.
QUANTUM ELECTRONICS, 2014, 44 (02) : 167 - 173

← 1 2 3 4 5 →