NDLI: Gaussian beams in inhomogeneous media: A review

Content Provider	Springer Nature Link
Author	Kravtsov, Yu. A. Berczynski, P.
Copyright Year	2007
Abstract	The paper outlines the most important results of the paraxial complex geometrical optics (CGO) in respect to Gaussian beams diffraction in the smooth inhomogeneous media and discusses interrelations between CGO and other asymptotic methods, which reduce the problem of Gaussian beam diffraction to the solution of ordinary differential equations, namely: (i) Babich’s method, which deals with the abridged parabolic equation and describes diffraction of the Gaussian beams; (ii) complex form of the dynamic ray tracing method, which generalizes paraxial ray approximation on Gaussian beams and (iii) paraxial WKB approximation by Pereverzev, which gives the results, quite close to those of Babich’s method. For Gaussian beams all the methods under consideration lead to the similar ordinary differential equations, which are complex-valued nonlinear Riccati equation and related system of complex-valued linear equations of paraxial ray approximation. It is pointed out that Babich’s method provides diffraction substantiation both for the paraxial CGO and for complex-valued dynamic ray tracing method. It is emphasized also that the latter two methods are conceptually equivalent to each other, operate with the equivalent equations and in fact are twins, though they differ by names.The paper illustrates abilities of the paraxial CGO method by two available analytical solutions: Gaussian beam diffraction in the homogeneous and in the lens-like media, and by the numerical example: Gaussian beam reflection from a plane-layered medium.
Starting Page	1
Ending Page	36
Page Count	36
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	51
Issue Number	1
e-ISSN	15731626
Language	English
Publisher	Kluwer Academic Publishers-Consultants Bureau
Publisher Date	2007-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Gaussian beams Gaussian beam propagation and diffraction complex geometrical optics dynamic ray tracing method Geophysics/Geodesy Structural Geology Meteorology/Climatology
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Hermite-Gaussian Beams in Inhomogeneous Elastic Media

A note on dynamic ray tracing in ray-centered coordinates in anisotropic inhomogeneous media

Paraxial ray methods in inhomogeneous anisotropic media: Initial conditions

Ray-centred coordinate systems in anisotropic media

Common-ray tracing and dynamic ray tracing for S waves in a smooth elastic anisotropic medium

Reformulated Kinematic and Dynamic Ray Tracing Systems for Arbitrarily Anisotropic Media

In-Plane Ray Tracing with Calculation of Out-of-Plane Geometrical Spreading in Anisotropic Media

Computation of Ray Amplitudes in Inhomogeneous Media with Curved

A tale of two beams: an elementary overview of Gaussian beams and Bessel beams

Gaussian beams in inhomogeneous media: A review

Similar Documents

Hermite-Gaussian Beams in Inhomogeneous Elastic Media

A note on dynamic ray tracing in ray-centered coordinates in anisotropic inhomogeneous media

Paraxial ray methods in inhomogeneous anisotropic media: Initial conditions

Ray-centred coordinate systems in anisotropic media

Common-ray tracing and dynamic ray tracing for S waves in a smooth elastic anisotropic medium

Reformulated Kinematic and Dynamic Ray Tracing Systems for Arbitrarily Anisotropic Media

In-Plane Ray Tracing with Calculation of Out-of-Plane Geometrical Spreading in Anisotropic Media

Computation of Ray Amplitudes in Inhomogeneous Media with Curved

A tale of two beams: an elementary overview of Gaussian beams and Bessel beams

Gaussian beams in inhomogeneous media: A review