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Using the FDTD method, we investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel air cylinders in a dielectric medium. The corresponding frequency band structure is computed using the standard…

Materials Science · Physics 2009-11-10 Hung-Ta Chien , Hui-Ting Tang , Chao-Hsien Kuo , Chii-Chang Chen , Zhen Ye

In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where it can be noticed the diffraction of laser light in…

A popular pedagogical approach for introducing diffraction is to assume normal incidence of light on a single slit or a plane transmission grating. Interesting cases of diffraction from a grating at orientations other than normal incidence…

Optics · Physics 2025-08-25 Ninad R. Jetty , Akash Suman , Rajesh B. Khaparde

Graphene and other two-dimensional materials display remarkable optical properties, including a simple light transparency of $T \approx 1 - \pi \alpha$ for light in the visible region. Most theoretical rationalizations of this "universal"…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Daniel J. Merthe , Vitaly V. Kresin

In most theories of diffraction by a diaphragm, the amplitude of the diffracted wave, and hence the position wave function of the associated particle, is calculated directly without prior calculation of the quantum state. Few models express…

Quantum Physics · Physics 2024-10-29 Bernard Fabbro

We provide a description of the far-field encountered in the diffraction problem resulting from the interaction of a monochromatic plane-wave and a right-angled no-contrast penetrable wedge. To achieve this, we employ a two-complex-variable…

Analysis of PDEs · Mathematics 2023-11-01 Valentin D. Kunz , Raphael C. Assier

A special case of the relativistic Doppler effect, which occurs when light reflects from a moving mirror, is discussed. The classic formula for the Doppler shift is derived in a fully non-relativistic fashion using basic facts from…

Physics Education · Physics 2007-05-23 Malik Rakhmanov

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

The refraction of light by dispersion-free dielectric media can be modeled using well-localized macroscopic wave packets, enabling a description in terms of pseudo-particles. This approach is often used in thought experiments to illustrate…

Classical Physics · Physics 2025-03-07 R. Dengler

A synoptic view on the long-established theory of light propagation in crystalline dielectrics is presented, providing a new exact solution for the microscopic local electromagnetic field thus disclosing the role of the divergence-free…

Optics · Physics 2018-08-03 Marius Dommermuth , Nils Schopohl

We experimentally characterize the positions of the diffraction maxima of a phase grating on a screen, for laser light at oblique incidence (so-called off-plane diffraction or conical diffraction). We discuss the general case of off-plane…

Optics · Physics 2021-05-12 Georg Heuberger , Juergen Klepp , Jinxin Guo , Yasuo Tomita , Martin Fally

An analytical general analysis of the electromagnetic Dyadic Green's Function for two-dimensional sheet (or a very thin film) is presented, with an emphasis on on the case of graphene. A modified steepest descent treatment of the fields…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 A. Yu. Nikitin , F. J. Garcia-Vidal , L. Martin-Moreno

We study the Hawking radiation in field theories which break Lorentz invariance via dissipative effects above a certain energy scale. We assume that the additional degrees of freedom which cause dissipation are Gaussian and freely falling.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Scott Robertson , Renaud Parentani

The fundamental problem of optical wave propagation is the determination of the field at an observation point, given a disturbance specified over some finite aperture. In both vacuum and inhomogeneous media, the solution of this problem is…

Analysis of PDEs · Mathematics 2007-05-23 Peng Li

The expression for the electromagnetic field of a charge moving along an arbitrary trajectory is obtained in a direct, elegant, and Lorentz invariant manner without resorting to more complicated procedures such as differentiation of the…

Classical Physics · Physics 2009-05-08 Hamsa Padmanabhan

Almost one and a half centuries ago, Ernst Abbe [1] and shortly after Lord Rayleigh [2] showed that when an optical lens is illuminated by a plane wave, a diffraction-limited spot with a radius 0.61*lambda/sin(alpha) is obtained, where…

The double diffraction of white light can produce a thin-prism-like image in certain conditions by using ordinary diffraction gratings. The diffractive deviation of rays happens mainly in one direction because the diffracting elements are…

Optics · Physics 2007-05-23 Jose J Lunazzi , Noemi I Rodriguez Rivera

Light refraction, i.e. the bending of the path of a light wave at the interface between two different dielectric media, is ubiquitous in optics. Refraction arises from the different speed of light and is unavoidable in continuous media…

Optics · Physics 2018-02-14 Stefano Longhi

We show that the far--field pattern of a scattered electromagnetic field corresponding to a single incoming plane--wave uniquely determines a bounded supraconductive planar screen. This generalises a previous scalar result of Bl\aa sten,…

Analysis of PDEs · Mathematics 2023-07-20 Sadia Sadique , Petri Ola , Lassi Päivärint

The celebrated Sommerfeld wedge diffraction solution is reexamined from a null interior field perspective. Exact surface currents provided by that solution, when considered as disembodied half-plane laminae radiating into an ambient,…

Classical Physics · Physics 2017-07-13 J. A. Grzesik