Journal ArticleDOI
Application of the parabolic wave equation to X-ray diffraction optics
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In this paper, a new computational approach is suggested to the analysis of imaging properties of realistic X-ray Fresnel zone plates with high aspect ratio, based on the parabolic wave equation (PWE) describing diffraction inside the zone plate body as well as wave propagation and focusing throughout the optical system.About:
This article is published in Optics Communications.The article was published on 1995-08-01. It has received 71 citations till now. The article focuses on the topics: Fresnel diffraction & Zone plate.read more
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X-Rays and Extreme Ultraviolet Radiation: Principles and Applications
TL;DR: In this paper, the fundamental properties of soft x-rays and extreme ultraviolet (EUV) radiation are discussed and their applications in a wide variety of fields, including EUV lithography for semiconductor chip manufacture and soft X-ray biomicroscopy.
Journal ArticleDOI
The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation
Mehdi Dehghan,Davoud Mirzaei +1 more
TL;DR: In this paper, the meshless local Petrov-Galerkin (MLPG) method is presented for numerical solution of the two-dimensional non-linear Schrodinger equation, which is based on the local weak form and the moving least squares (MLS) approximation.
Journal ArticleDOI
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions
TL;DR: This paper adresses the construction and study of a Crank-Nicolson-type discretization of the two-dimensional linear Schrödinger equation in a bounded domain Ω with artificial boundary conditions set on the arbitrarily shaped boundary of Ω.
Journal ArticleDOI
Modeling radio wave propagation in tunnels with a vectorial parabolic equation
A. V. Popov,Ning Yan Zhu +1 more
TL;DR: In this article, a vectorial parabolic equation (PE) was proposed to study radio wave propagation in tunnels, taking into account the cross-section shape, wall impedances, slowly varying curvature, and torsion of the tunnel axis.
Journal ArticleDOI
Numerical solution to the unsteady two‐dimensional Schrödinger equation using meshless local boundary integral equation method
Mehdi Dehghan,Davoud Mirzaei +1 more
TL;DR: In this paper, a meshless local boundary integral equation (LBIE) method is proposed to solve the unsteady two-dimensional Schrodinger equation, which is based on the LBIE with moving least squares (MLS) approximation.
References
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Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Book ChapterDOI
The parabolic approximation method
TL;DR: This article has dealt with various aspects of parabolic approximation methods in underwater acoustics, mostly for propagation of sinusoidal signals, and extensions to time-dependent problems are also available: pulse propagation, moving sources and receivers, frequency shifting effects due to rapid temporal variations of oceanic conditions, and so forth.