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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

We describe a simple geometrical derivation of the formula for reflection of light from a uniformly moving plane mirror directly from the postulates of special relativity.

General Physics · Physics 2009-04-06 Aleksandar Gjurchinovski , Aleksandar Skeparovski

The formula for the frequency shift of a plane-polarized light wave reflected from a uniformly moving mirror is derived directly from the constant light speed postulate and the basic principles of wave optics. Unlike the original derivation…

Optics · Physics 2007-05-23 Aleksandar Gjurchinovski

We developed a formula for the law of reflection of a plane-polarized light beam from an inclined flat mirror in uniform rectilinear motion by a direct application of the Huygens-Fresnel principle. Applying the obtained formula and the…

Classical Physics · Physics 2021-12-09 Aleksandar Gjurchinovski

The Doppler Effect associated with the reflection on a moving mirror is reduced to two Doppler Effect experiments involving the incoming incident ray and the outgoing reflected ray or vice-versa. The dependence of the corresponding Doppler…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Ioan Damian

The problem of the reflectance of a photon by a metallic mirror whose position is treated quantum mechanically is considered. The interaction between the metallic surface and the light is treated classically. It is shown that the…

Quantum Physics · Physics 2010-03-25 Pablo L. Saldanha

Imposing start from the beginning that the incidence and the reflection of a ray t on an arbitrarily orientated mirror take place at the same point in space and at the same zero time in all involved reference frames in relative motion, we…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Ioan Damian

We derive from first principles the momentum exchange between a photon and a quantum mirror upon reflection, by considering the boundary conditions imposed by the mirror surface on the photon wave equation. We show that the system generally…

Quantum Physics · Physics 2016-02-26 Raul Corrêa , Pablo L. Saldanha

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

We present an approach for the study and design of reflectors with rotational or translational symmetry that redirect light from a point source into any desired radiant intensity distribution. This method is based on a simple conformal map…

Optics · Physics 2019-09-04 Luis A. Aleman Castaneda , Miguel A. Alonso

We present a one-dimensional scattering theory which enables us to describe a wealth of effects arising from the coupling of the motional degree of freedom of scatterers to the electromagnetic field. Multiple scattering to all orders is…

Quantum Physics · Physics 2009-05-07 André Xuereb , Peter Domokos , János Asbóth , Peter Horak , Tim Freegarde

When a light pulse is reflected from a mirror, energy and momentum are exchanged between the electromagnetic field and the material medium. The resulting change in the energy of the reflected photons is directly related to their Doppler…

Optics · Physics 2012-07-30 Masud Mansuripur , Armis R. Zakharian

A path integral formulation is developed to study the spectrum of radiation from a perfectly reflecting (conducting) surface. It allows us to study arbitrary deformations in space and time. The spectrum is calculated to second order in the…

Quantum Physics · Physics 2009-10-31 Faez Miri , Ramin Golestanian

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model…

Quantum Physics · Physics 2018-04-18 Nicholas Furtak-Wells , Lewis A. Clark , Robert Purdy , Almut Beige

We have reflected a Stark-decelerated beam of OH molecules under normal incidence from mirrors consisting of permanent magnets. Two different types of magnetic mirrors have been demonstrated. A long-range flat mirror made from a large disc…

The differential cross-section for the reflection of light beams off rigid bodies obtained by the rotation of a generic derivable convex function is calculated. The calculation is developed using elementary notions of calculus and is…

Physics Education · Physics 2013-03-05 Marco Giliberti , Luca Perotti

Through the study of the power spectra of a monochromatic light beam reflected by metallic mirrors, fluctuations in their reflectance is observed. The power spectra were obtained down to a factor $10^{-6}$ below the Standard Quantum Limit,…

Other Condensed Matter · Physics 2017-04-19 Takahisa Mitsui , Kenichiro Aoki

The influence of the relativistic motion of the reference frame on the light reflection law is investigated. The method is based on applying the relativistic aberration affect for three light signals: incident, normal and reflected rays.…

General Physics · Physics 2008-12-02 V. M. Red'kov , Bernhard Rothenstein , George J. Spix

Relativistic mirrors can be realized with strongly nonlinear Langmuir waves excited by intense laser pulses in underdense plasma. On reflection from the relativistic mirror the incident light affects the mirror motion. The corresponding…

How much does a single image reveal about the environment it was taken in? In this paper, we investigate how much of that information can be retrieved from a foreground object, combined with the background (i.e. the visible part of the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Stamatios Georgoulis , Konstantinos Rematas , Tobias Ritschel , Mario Fritz , Tinne Tuytelaars , Luc Van Gool
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