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Paraxial approximation

About: Paraxial approximation is a research topic. Over the lifetime, 5021 publications have been published within this topic receiving 80857 citations.


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Book
01 Jun 1998
TL;DR: In this paper, a line-of-sight propagation of Gaussian-Beam waves in the atmosphere has been studied in the context of beam statistics mathematica programmes.
Abstract: Random Processes and Random Fields Optical Turbulence in the Atmosphere Free-Space Propagation of Gaussian-Beam Waves Classical Theory of Optical Wave Propagation Line-of-Sight Propagation - Weak Fluctuation Theory, Part 1 Line-of-Sight Propagation - Weak Fluctuation Theory, Part 2 Propagation Through Random Phase Screens Laser Satellite Communication Systems Propagation Through Complex Paraxial ABCD Optical Systems Doublepassage Problems - Laser Radar Systems Line-of-Sight Propagation - Strong Fluctuation Theory Appendices - Special Functions Integral Table Tables of Beam Statistics Mathematica Programmes.

3,633 citations

Book
01 Sep 2005
TL;DR: In this article, the elastodynamics and its simple solutions of dynamic ray tracing are discussed. But they do not consider the effect of the propagation speed of the ray on the propagation.
Abstract: Preface 1. Introduction 2. The elastodynamics and its simple solutions 3. Seismic rays and travel times 4. Dynamic ray tracing. Paraxial ray methods 5. Ray amplitudes 6. Ray synthetic seismograms Appendix. Fourier transform, Hilbert transform and analytical signals References Index.

1,206 citations

Journal ArticleDOI
TL;DR: In this article, boundary conditions are derived for numerical wave simulation that minimize artificial reflections from the edges of the domain of computation, based on paraxial approximations of the scalar and elastic wave equations.
Abstract: Boundary conditions are derived for numerical wave simulation that minimize artificial reflections from the edges of the domain of computation. In this way acoustic and elastic wave propagation in a limited area can be efficiently used to describe physical behavior in an unbounded domain. The boundary conditions are based on paraxial approximations of the scalar and elastic wave equations. They are computationally inexpensive and simple to apply, and they reduce reflections over a wide range of incident angles.

1,019 citations

MonographDOI
21 Dec 2017
TL;DR: In this paper, the authors present a comprehensive and engaging introduction to optics for intermediate and upper level undergraduate physics and engineering students, which allows instructors to select specialized content to suit individual curricular needs and goals.
Abstract: Introduction to Optics is now available in a re-issued edition from Cambridge University Press. Designed to offer a comprehensive and engaging introduction to intermediate and upper level undergraduate physics and engineering students, this text also allows instructors to select specialized content to suit individual curricular needs and goals. Specific features of the text, in terms of coverage beyond traditional areas, include extensive use of matrices in dealing with ray tracing, polarization, and multiple thin-film interference; three chapters devoted to lasers; a separate chapter on the optics of the eye; and individual chapters on holography, coherence, fiber optics, interferometry, Fourier optics, nonlinear optics, and Fresnel equations.

927 citations

Journal ArticleDOI
TL;DR: It is shown numerically that vector antenna arrays can generate radio beams that exhibit spin and orbital angular momentum characteristics similar to those of helical Laguerre-Gauss laser beams in paraxial optics.
Abstract: We show numerically that vector antenna arrays can generate radio beams that exhibit spin and orbital angular momentum characteristics similar to those of helical Laguerre-Gauss laser beams in paraxial optics. For low frequencies (1 GHz), digital techniques can be used to coherently measure the instantaneous, local field vectors and to manipulate them in software. This enables new types of experiments that go beyond what is possible in optics. It allows information-rich radio astronomy and paves the way for novel wireless communication concepts.

903 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023136
2022280
2021143
2020169
2019170
2018173