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Analytical solutions to the wave equation in spheroidal coordinates in the short wavelength limit are considered. The asymptotic solutions for the radial function are significantly simplified, allowing scalar spheroidal wave functions to be…

Optics · Physics 2009-10-07 Martin Zeppenfeld

Perfectly Matched Layers (PML) has become a very common method for the numerical approximation of wave and wave-like equations on unbounded domains. This technique allows one to obtain accurate solutions while working on a finite…

Analysis of PDEs · Mathematics 2025-03-11 Kurt Bryan , Michael S. Vogelius

The Maxwellian display presents always-focused images to the viewer, alleviating the vergence-accommodation conflict (VAC) in near-eye displays (NEDs). However, the limited eyebox of the typical Maxwellian display prevents it from wider…

Optics · Physics 2021-06-14 Shijie Zhang , Juan Liu , Zhiqi Zhang

A general scattering problem of a plane electromagnetic wave on an infinite cylindrical rod is formulated and solved in a form of Bessel functions series expansion. The conductivity account via Ohm law directly in Maxwell equation leads to…

Classical Physics · Physics 2013-09-03 Katarzyna Krzyżanowska , Sergey Leble

We present a new class of exact nonsingular solutions for the Maxwell equations in vacuum, which describe the electromagnetic field of the counterpropagating focused laser beams and the subperiod focused laser pulse. These solutions are…

Two atoms put at the foci of a perfect lens [J.B. Pendry, Phys. Ref. Lett. 85, 3966 (2000)] are shown to exhibit perfect sub- and super-radiance even over macroscopic distances limited only by the propagation length in the free-space decay…

Quantum Physics · Physics 2007-05-23 Juergen Kaestel , Michael Fleischhauer

Electromagnetic waves, solving the full set of Maxwell equations in vacuum, are numerically computed. These waves occupy a fixed bounded region of the three dimensional space, topologically equivalent to a toroid. Thus, their fluid dynamics…

Classical Physics · Physics 2018-03-28 Claudia Chinosi , Lucia Della Croce , Daniele Funaro

We applied an effective approximation into Maxwell's equations with an axion interaction for haloscope searches. A set of Maxwell's equations acquired from this approximation describes just the reacted fields generated by the anomalous…

High Energy Physics - Phenomenology · Physics 2019-02-04 Younggeun Kim , Dongok Kim , Junu Jung , Jinsu Kim , Yun Chang Shin , Yannis K. Semertzidis

Reflecting light to a pre-determined non-specular direction is an important ability of metasurfaces, which is the basis for a wide range of applications (e.g., beam steering/splitting and imaging). However, anomalous reflection with 100%…

Optics · Physics 2021-11-16 Tao He , Tong Liu , Shiyi Xiao , Zeyong Wei , Zhanshan Wang , Lei Zhou , Xinbin Cheng

Intersection of two or more silicon slot waveguides is inevitable in modern optical integrated circuits based on silicon on insulator (SOI) platform. In this article, we design a Maxwell's fisheye lens as the crossing medium for three Si…

Optics · Physics 2019-09-04 S. Hadi Badri , M. M. Gilarlue , H. Soofi , H. Rasooli Saghai

Following the recent developement of Fourier ptychographic microscopy (FPM) in the visible range by Zheng et al. (2013), we propose an adaptation for hard x-rays. FPM employs ptychographic reconstruction to merge a series of low-resolution,…

Instrumentation and Detectors · Physics 2016-09-27 H. Simons , H. F. Poulsen , J. P. Guigay , C. Detlefs

In this work, we explore the technical feasibility of implementing end-to-end 3D object detection (3DOD) with surround-view fisheye camera system. Specifically, we first investigate the performance drop incurred when transferring classic…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Changcai Li , Wenwei Lin , Zuoxun Hou , Gang Chen , Wei Zhang , Huihui Zhou , Weishi Zheng

Starting from the Vlasov-Maxwell system, an exact relativistic hydrodynamic closure for a special type water bag distributions satisfying the Vlasov equation has been derived. It has been shown that the hydrodynamic equations are fully…

Accelerator Physics · Physics 2011-10-18 Stephan I. Tzenov , Kiril B. Marinov

In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print physics/0001039] we have shown localized (non-evanescent) solutions to Maxwell equations to exist, which propagate without distortion with Superluminal speed along…

Classical Physics · Physics 2009-11-07 M. Zamboni-Rached , Flavio Fontana , Erasmo Recami

Invisibility cloaks, a subject that usually occurs in science fiction and myths, have attracted wide interest recently because of their possible realization. The biggest challenge to true invisibility is known to be the cloaking of a…

Optics · Physics 2013-05-29 Baile Zhang , Yuan Luo , Xiaogang Liu , George Barbastathis

A structural understanding of whole cells in three dimensions at high spatial resolution remains a significant challenge and, in the case of X-rays, has been limited by radiation damage. By alleviating this limitation, cryogenic coherent…

The resolution of far-field optical microscopes, which rely on propagating optical modes, is widely believed to be limited because of diffraction to a value on the order of a half-wavelength $\lambda /2$ of the light used. Although…

Materials Science · Physics 2009-11-10 Igor I. Smolyaninov , Christopher C. Davis , Jill Elliott , Anatoly V. Zayats

Characterizing electromagnetic wave propagation in nonlinear and inhomogeneous media is of great interest from both theoretical and practical perspectives, even though it is extremely complicated. In fact, it is still an unresolved issue to…

Classical Physics · Physics 2017-04-28 Liang Hu , Xiao Zhang , Dazhi Zhao , MaoKang Luo

We study the time harmonic Maxwell equations in a meta-material consisting of perfect conductors and void space. The meta-material is assumed to be periodic with period $\eta > 0$; we study the behaviour of solutions $(E^{\eta}, H^{\eta})$…

Analysis of PDEs · Mathematics 2017-03-17 Ben Schweizer , Maik Urban

In order to obtain a metasurface structure capable of filtering the light of a specific wavelength in the visible band, traditional method usually traverses the space consisting of possible designs, searching for a potentially satisfying…

Other Computer Science · Computer Science 2019-12-10 Xiao Han , Ziyang Fan , Chao Li , Zeyang Liu , L. Jay Guo