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Nonlinear dynamics and chaos of rays...

Asadi-Zeydabadi, Masoud.

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Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation./
Author:	Asadi-Zeydabadi, Masoud.
Description:	185 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0814.
Contained By:	Dissertation Abstracts International65-02B.
Subject:	Physics, Optics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3123225
ISBN:	0496705374

Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation.
Asadi-Zeydabadi, Masoud.

Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation. - 185 p.

Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0814.

Thesis (Ph.D.)--University of Colorado at Boulder, 2004.

The geometrical optics approximation is used to describe the propagation of waves through waveguides whose dielectric constant depends quadratically on the distance x transverse to the waveguide axis. When this dielectric constant or equivalently the square of the index of refraction is also periodically modulated with distance z down the waveguide axis, parametric instability occurs. This causes the rays to diverge exponentially away from the axis. Within certain regions of parameter space governed by strength and spatial frequency of the perturbation, chaos occurs. With a suitable scaling of coordinates, a wide range of nonlinear dynamics is explored that covers a general class of physically relevant parameters. The problem is shown to have a particularly useful structure as a perturbed Hamiltonian system because of the simple form of the dynamics when modulation is absent.

ISBN: 0496705374Subjects--Topical Terms:

1018756
Physics, Optics.

Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation.
LDR:01868nmm 2200289 4500 001 1840297
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008 130614s2004 eng d
020 $a 0496705374
035 $a (UnM)AAI3123225
035 $a AAI3123225
040 $a UnM $c UnM
100 1 $a Asadi-Zeydabadi, Masoud. $3 1928637
245 1 0 $a Nonlinear dynamics and chaos of rays in quadratic index waveguides with periodic axial perturbation.
300 $a 185 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-02, Section: B, page: 0814.
500 $a Directors: Randall P. Tagg; James D. Meiss.
502 $a Thesis (Ph.D.)--University of Colorado at Boulder, 2004.
520 $a The geometrical optics approximation is used to describe the propagation of waves through waveguides whose dielectric constant depends quadratically on the distance x transverse to the waveguide axis. When this dielectric constant or equivalently the square of the index of refraction is also periodically modulated with distance z down the waveguide axis, parametric instability occurs. This causes the rays to diverge exponentially away from the axis. Within certain regions of parameter space governed by strength and spatial frequency of the perturbation, chaos occurs. With a suitable scaling of coordinates, a wide range of nonlinear dynamics is explored that covers a general class of physically relevant parameters. The problem is shown to have a particularly useful structure as a perturbed Hamiltonian system because of the simple form of the dynamics when modulation is absent.
590 $a School code: 0051.
650 4 $a Physics, Optics. $3 1018756
650 4 $a Physics, Acoustics. $3 1019086
690 $a 0752
690 $a 0986
710 2 0 $a University of Colorado at Boulder. $3 1019435
773 0 $t Dissertation Abstracts International $g 65-02B.
790 1 0 $a Tagg, Randall P., $e advisor
790 1 0 $a Meiss, James D., $e advisor
790 $a 0051
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3123225