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New high-gradient accelerating RF cavities are nowadays developed in several national laboratories for high-energy physics applications. Ultra high gradients, up to the order of GV/m, can be achieved by using ultra compact accelerating…

Accelerator Physics · Physics 2022-07-26 Mostafa Behtouei , Luigi Faillace , Mauro Migliorati , Luigi Palumbo , Bruno Spataro

Neutron reflectometry is a critical tool for investigating the structure of thin films and interfaces. However, the misapplication of the Born approximation to reflection geometry leads some to assume that the minimum thickness that may be…

Soft Condensed Matter · Physics 2024-03-21 Nicolas Shiaelis , Luke A. Clifton , Andrew R. McCluskey

Historically, spectroscopic techniques have been essential for studying the optical properties of thin solid films. However, existing formulae for both normal transmission and reflection spectroscopy often rely on simplified theoretical…

Fluorescence spectroscopy and modeling provide powerful means to characterize biomacromolecular structures, dynamics, and interactions. F\"orster resonance energy transfer serves as a key technique for this due to its nanometer-scale…

Biological Physics · Physics 2026-02-26 Thomas-Otavio Peulen , Daria Maksutova , Thorben Cordes

Within classical optics, one may add microscopic "roughness" to a macroscopically flat mirror so that parallel rays of a given angle are reflected at different outgoing angles. Taking the limit (as the roughness becomes increasingly…

Probability · Mathematics 2012-04-12 Omer Angel , Krzysztof Burdzy , Scott Sheffield

We theoretically derive the polarization-resolved intensity distribution of a $TM$-polarized fundamental Gaussian beam reflected by an air-glass plane interface at Brewster incidence. The reflected beam has both a dominant ($TM$) and a…

Optics · Physics 2015-05-13 A. Aiello , M. Merano , J. P. Woerdman

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 prove the existence of the reflected diffusion on a complex of an arbitrary size for a large class of planar simple nested fractals. Such a process is obtained as a folding projection of the free Brownian motion from the unbounded…

Probability · Mathematics 2020-01-08 Kamil Kaleta , Mariusz Olszewski , Katarzyna Pietruska-Pałuba

Diffraction images with continuous rotation symmetry arise from amorphous systems, but also from regular crystals when investigated by powder diffraction. On the theoretical side, pinwheel patterns and their higher dimensional…

Spectral Theory · Mathematics 2007-05-23 Michael Baake , Dirk Frettlöh , Uwe Grimm

Light's polarisation contains information about its source and interactions, from distant stars to biological samples. Polarimeters can recover this information, but reliance on birefringent or rotating optical elements limits their…

Instrumentation and Detectors · Physics 2018-08-21 Ryan D. Hawley , John Cork , Neal Radwell , Sonja Franke-Arnold

Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present…

Materials Science · Physics 2009-11-11 Alexander Shvartsburg , Vladimir Kuzmiak , Guillaume Petite

We present a mathematical formalism describing the propagation of a completely general electromagnetic wave in a birefringent medium. Analytic formulas for the refraction and reflection from a plane interface are obtained. As a particular…

Optics · Physics 2008-11-27 S. Hacyan , R. Jauregui

Interferometers play an increasingly important role for spatially resolved observations. If employed at full potential, interferometry can probe an enormous dynamic range in spatial scale. Interpretation of the observed visibilities…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 C. Brinch , C. P. Dullemond

It has recently been shown that periodic layered media can reflect strongly for all incident angles and polarizations in a given frequency range. The standard treatment gets these band gaps from an eigenvalue equation for the Bloch factor…

Optics · Physics 2009-11-10 J. J. Monzon , T. Yonte , L. L. Sanchez-Soto

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

We present a new perspective on gravitational lensing. We describe a new extension of the weak lensing formalism capable of describing strongly lensed images. By integrating the non-linear geodesic deviation equation, the amplification…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-27 Chris Clarkson

Recent advances in twistor theory are applied to geometric optics in ${\Bbb{R}}^3$. The general formulae for reflection of a wavefront in a surface are derived and in three special cases explicit descriptions are provided: when the…

Differential Geometry · Mathematics 2021-11-15 Brendan Guilfoyle , Wilhelm Klingenberg

A bianisotropic metasurface design is proposed for extending the Brewster effect to arbitrary angles and polarizations. The metasurface is synthesized using the surface susceptibility tensor and Generalized Sheet Transition Conditions…

Optics · Physics 2018-01-26 Guillaume Lavigne , Christophe Caloz

We consider reciprocal metasurfaces with engineered reflection and transmission coefficients and study the role of normal (with respect to the metasurface plane) electric and magnetic polarizations on the possibilities to shape the…

Applied Physics · Physics 2018-01-11 Sergei A. Tretyakov , Do-Hoon Kwon , Mohammad Albooyeh , Filippo Capolino

A simple method for presenting a dynamic transition between Fresnel and Fraunhofer diffraction zones is considered. Experiments are conducted on different apertures and diffraction patterns are photographed at various distances between the…