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We study the polarization of light emitted by spatially correlated sources. We show that in general polarization acquires nontrivial spectral dependence due to spatial correlations. The spectral dependence is found to be absent only for a…

Optics · Physics 2009-11-06 Krishna Bhuvalka , Pankaj Jain

Starting with Maxwell's equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These results are then extended to cover the case of vector…

Optics · Physics 2020-09-16 Masud Mansuripur

One of the methods for studying the highest energy cosmic rays is to measure the fluorescence light emitted by the extensive air showers induced by them. To reconstruct a shower cascade curve from measurements of the number of photons…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Maria Giller , Andrzej Smialkowski

The observation of the Sun with a pinhole in order to check the first and the second Kepler's law has been realized for high school students. The settling of the experiment in order to minimize the errors of measure has permitted to verify…

Instrumentation and Methods for Astrophysics · Physics 2011-07-06 Costantino Sigismondi

Evolved late-type stars are frequently identified as photometric and spectroscopic variables, such as Mira-type or semi-regular variable objects. These stars can also be polarimetrically variable, an indicator of non-spherical geometry for…

Solar and Stellar Astrophysics · Physics 2025-12-04 R Ignace , C Erba , K DeGennaro , G Henson

Rayleigh scattering is a result of an interaction of photons with bound electrons. Rayleigh scattering is mostly neglected in calculations of hot star model atmospheres because most of the hydrogen atoms are ionized and the heavier elements…

Solar and Stellar Astrophysics · Physics 2016-08-16 Jakub Fišák , Jiří Krtička , Dominik Munzar , Jiří Kubát

Modified Rayleigh conjecture (MRC) in scattering theory was proposed and justified by the author (J.Phys A, 35 (2002), L357-L361). MRC allows one to develop efficient numerical algorithms for solving boundary-value problems. It gives an…

Analysis of PDEs · Mathematics 2007-05-23 A. G. Ramm

The synchrotron radiation is commonly known to be completely linearly polarized when observed in the orbital plane of the synchrotron motion. Under actual experimental conditions, however, the degree of polarization of the synchrotron…

Atomic Physics · Physics 2018-11-09 A. Surzhykov , V. A. Yerokhin , S. Fritzsche , A. V. Volotka

We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffice to give the local behavior of the wave…

Analysis of PDEs · Mathematics 2010-11-15 Lung-Hui Chen

A rainbow is a captivating natural phenomenon resulting from the refraction, dispersion, and reflection of sunlight within water droplets. Traditional classroom demonstrations often focus on qualitative explanations of the formation of…

The small perturbations method has been extensively used for waves scattering by rough surfaces. The standard method developped by Rice is difficult to apply when we consider second and third order of scattered fields as a function of the…

Condensed Matter · Physics 2009-10-31 A. Soubret , G. Berginc , C. Bourrely

Rayleigh's criterion states that resolving point sources below the point spread function width is impossible, with error increasing at shorter distances, known as Rayleigh's curse. While detection mode shaping solves this for equal sources,…

The elastic Rayleigh scattering of twisted light and, in particular, the polarization (transfer) of the scattered photons have been analyzed within the framework of second-order perturbation theory and Dirac's relativistic equation. Special…

Atomic Physics · Physics 2018-05-23 A. A. Peshkov , A. V. Volotka , A. Surzhykov , S. Fritzsche

The paper contains the review of a number of wide-angle polarization CCD-measurements of the twilight sky in V and R color bands with effective wavelengths equal to 550 and 700 nm. The basic factors effecting (usually decreasing) on the…

Geophysics · Physics 2007-05-23 O. S. Ugolnikov , O. V. Postylyakov , I. A. Maslov

The differential scattering cross section for charged relativistic particles moving parallel close to the crystalline plane of atoms was obtained. The rainbow scattering effect in the approximation of continuous potential was demonstrated.…

High Energy Physics - Theory · Physics 2023-12-05 N. F. Shul'ga , V. D. Koriukina

The current literature is rather vague regarding how to calculate the exact numerical value of the resonant ion scattering cross-section that should be used for a specific bandpass of finite width. Such a value was needed in order to…

Solar and Stellar Astrophysics · Physics 2024-03-22 Raymond J. Pfeiffer

Ultraviolet (UV) scattering on quantum crossbars (QCB) is an effective tool for probing QCB spectral properties, leading to excitation of QCB plasmon(s). Experimentally, such a process corresponds to sharp peaks in the frequency dependence…

Strongly Correlated Electrons · Physics 2009-11-10 I. Kuzmenko , S. Gredeskul , K. Kikoin , Y. Avishai

Based on fundamental properties of light scattering by a particle we reveal the existence of the ultimate upper limit for the light absorption by any partial mode. First, we obtain this result for scattering of a plane wave by a symmetric…

Optics · Physics 2018-01-24 Andrey E. Miroshnichenko , Michael I. Tribelsky

The scattering of photons of x-ray energy off a Coulomb field in very forward scattering region may be thought as the refraction effect due to the Coulomb field. The cross section of the scattering can be computed from the photon bending…

High Energy Physics - Phenomenology · Physics 2018-11-05 Taekoon Lee

High-precision measurements implemented by means of light is desired in all fields of science. However, light is a wave and Rayleigh criterion gives us a diffraction limitation in classical optics which restricts to get arbitrary high…

Quantum Physics · Physics 2015-01-26 Ruifeng Liu , Pei Zhang , Yu Zhou , Hong Gao , Fuli Li