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Theoretical and numerical wave propagation analysis of an oscillating electric dipole is presented. The results show that upon creation at the source, both the longitudinal electric and transverse magnetic fields propagate superluminally…

General Physics · Physics 2007-05-23 William D. Walker

Using the method of Laplace transform the field amplitude in the paraxial approximation is found in the two-dimensional free space using initial values of the amplitude specified on an arbitrary shaped monotonic curve. The obtained…

Computational Physics · Physics 2018-04-12 R M Feshchenko , A V Vinogradov , I A Artyukov

In this paper we explore how light propagates from thin elements into a volume for viewing. In particular, devices that are typically connected with geometric optics, like parallax barriers, differ in treatment with those that obey physical…

Optics · Physics 2010-08-03 Roarke Horstmeyer , Se Baek Oh , Ramesh Raskar

A time-domain approach is proposed for the propagation of ultrashort electro- magnetic wave packets beyond the paraxial and the slowly-varying-envelope approximations. An analytical method based on perturbation theory is used to solve the…

Optics · Physics 2007-05-23 Charles Varin , Michel Piché

Understanding the interaction of light with a highly scattering material is essential for optical microscopy of optically thick and heterogeneous biological tissues. Ensemble-averaged analytic solutions cannot provide more than general…

Computational Physics · Physics 2019-05-22 Tom Vettenburg , Simon A. R. Horsley , J. Bertolotti

Speckle patterns are inherent features of coherent light propagation through complex media. As a result of interference, they are sensitive to multiple experimental parameters such as the configuration of disorder or the propagating…

Recent experimental studies indicate that visual cognition is accompanied by slowly propagating biophysical travelling waves in cortical tissue. Here we propose polarization waves as a coherent physical framework for visual cognition. We…

Neurons and Cognition · Quantitative Biology 2026-03-10 Hyun Myung Jang , Youngwoo Jang , Hyeon Han

The document covers the fundamental algorithm of backward propagation from the point of view of reconstructing the wavefield captured by a "screen" in an imaging system. Owing to a property of the Helmholtz equation, wavefields have an…

Image and Video Processing · Electrical Eng. & Systems 2020-04-20 Anurag Pallaprolu

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

General Physics · Physics 2022-10-11 Hosein Nasrolahpour

We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the pulse can be…

Pattern Formation and Solitons · Physics 2019-07-30 M. Isoard , A. M. Kamchatnov , N. Pavloff

The propagation of Airy beams in free space is characterized by being non dispersive, which warrants the shape invariance of their intensity distribution, and self-accelerating along the transverse direction. These distinctive traits are…

Optics · Physics 2025-05-23 A. S. Sanz , R. Martínez-Herrero

This tutorial review gives an overview of the transverse Anderson localization of light in one and two transverse dimensions. A pedagogical approach is followed throughout the presentation, where many aspects of localization are illustrated…

Optics · Physics 2015-06-05 Arash Mafi

Growing interest in non-line-of-sight (NLoS) imaging, colloquially referred to as "seeing around corners", has led to the development of phasor-field ($\mathcal{P}$-field) imaging, wherein the field envelope of amplitude-modulated…

Optics · Physics 2020-10-28 Justin Dove , Jeffrey H. Shapiro

A new rigorous approach for precise and efficient calculation of light propagation along non-uniform waveguides is presented. Resonant states of a uniform waveguide, which satisfy outgoing-wave boundary conditions, form a natural basis for…

Optics · Physics 2017-06-22 S. V. Lobanov , G. Zoriniants , W. Langbein , E. A. Muljarov

This paper concerns the propagation of high frequency wave-beams in highly turbulent atmospheres. Using a paraxial model of wave propagation, we show in the long-distance weak-coupling regime that the wavefields are approximately described…

Analysis of PDEs · Mathematics 2025-08-19 Guillaume Bal , Anjali Nair

We propose an efficient method for spatial filtering of light beams by propagating them through 2D (also 3D) longitudinally chirped photonic crystals, i.e. through the photonic structures with fixed transverse lattice period and with the…

Optics · Physics 2015-05-13 Kestutis Staliunas , Victor J. Sanchez-Morcillo

When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial…

Quantum Physics · Physics 2011-02-08 Gabriel F. Calvo , Antonio Picón

I present an overview of pulse propagation methods used in nonlinear optics, covering both full-field and envelope-and-carrier methods. Both wideband and narrowband cases are discussed. Three basic forms are considered -- those based on (a)…

Optics · Physics 2010-12-21 P. Kinsler

When structured light is propagated through the atmosphere, turbulence results in modal scattering and distortions. An extensively studied example is that of light carrying orbital angular momentum (OAM), where the atmosphere is treated as…

Optics · Physics 2021-09-22 Asher Klug , Isaac Nape , Andrew Forbes

We present a detailed study of light propagation in waveguides with anisotropic metamaterial cores. We demonstrate that in contrast to conventional optical fibers, our structures support free-space-like propagating modes even when the…

Optics · Physics 2007-05-23 Alexander A Govyadinov , Viktor A Podolskiy