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A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction…

Condensed Matter · Physics 2007-05-23 Pawel Buczek , Lorenzo Sadun , Janusz Wolny

We study the configuration of efficient nonlinear Cerenkov diffraction generated from a one-dimensional nonlinear photonic crystal surface, which underlies the incorporation of both quasi-phase-matching and total internal reflection by the…

Optics · Physics 2017-08-02 Xiaohui Zhao , Yuanlin Zheng , Huaijin Ren , Ning An , Xuewei Deng , Xianfeng Chen

In Optics it is common to split up the formal analysis of diffraction according to two convenient approximations, in the near and far fields (also known as the Fresnel and Fraunhofer regimes, respectively). Within this scenario, geometrical…

Classical Physics · Physics 2022-04-25 Almudena García-Sánchez , Ángel S. Sanz

A simple method was developed to observe the interference patterns of the light reflected by the interfaces of thin liquid films. Employing a fluorescent microscope with epi-illumination, we collected the 2D patterns of interference fringes…

Optics · Physics 2010-06-14 V. Berejnov , D. Li

Astrophysical lensing has typically been studied in two regimes: diffractive optics and refractive optics. Diffractive optics is characterized by a perturbative expansion of the Kirchhoff-Fresnel diffraction integral, while refractive…

High Energy Astrophysical Phenomena · Physics 2023-08-09 Dylan L. Jow , Ue-Li Pen , Job Feldbrugge

Diffractive surfaces shape optical wavefronts for applications in spectroscopy, high-speed communication, and imaging. The performance of these structures is primarily determined by how precisely they can be patterned. Fabrication…

Microscopic fringe projection profilometry is a powerful 3D measurement technique with a theoretical measurement accuracy better than one micron provided that the measured targets can be imaged with good fringe visibility. However,…

Image and Video Processing · Electrical Eng. & Systems 2019-06-26 Yan Hu , Qian Chen , Yichao Liang , Shijie Feng , Tianyang Tao , Chao Zuo

Kirchhoff's scalar diffraction theory is applied throughout photon and electron optics. It is based on the stationary electromagnetic or Schr\"odinger wave equation, and is useful in describing interference phenomena for both light and…

Quantum Physics · Physics 2013-03-06 Ruben Van Boxem , Bart Partoens , Jo Verbeeck

We demonstrate a new scheme of infrared spectroscopy with visible light sources and detectors. The technique relies on the nonlinear interference of correlated photons, produced via spontaneous parametric down conversion in a nonlinear…

Numeric simulations based on the Huygens-Fresnel method allow one to develop intuition about the behavior of coherent light in diffraction and interference experiments. They give an opportunity to numerically observe and appreciate a number…

Optics · Physics 2025-08-12 Ya. B. Bazaliy

Computer vision applications have heavily relied on the linear combination of Lambertian diffuse and microfacet specular reflection models for representing reflected radiance, which turns out to be physically incompatible and limited in…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Tomoki Ichikawa , Yoshiki Fukao , Shohei Nobuhara , Ko Nishino

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff's integral is modified to provide explicit expressions for these…

Optics · Physics 2019-03-27 Ulrich Brosa

Diffraction is a phenomenon, discussed for centuries from various points of view. The very simple principle, proposed by Huygens [1] and then modified by Fresnel[2], Stokes [3] and Kirchoff [4], allows us to make calculations, substituting…

Optics · Physics 2025-03-03 Ilya A. Kudryavtsev

Two methods of refractometry in reflected light from optical surface of samples are considered and studied experimentally. Methods are grounded on results of Fresnel theory of concerning light reflectivity at near normal incidence and…

Optics · Physics 2010-08-26 E. A. Tikhonov , V. A. Ivashkin

Fresnel diffraction calculation on an arbitrary shape surface is proposed. This method is capable of calculating Fresnel diffraction from a source surface with an arbitrary shape to a planar destination surface. Although such calculation…

Optics · Physics 2015-06-04 Tomoyoshi Shimobaba , Nobuyuki Masuda , Tomoyoshi Ito

Phase-sensitive coherent imaging exploits changes in the phases of backscattered light to observe tiny alterations of scattering structures or variations of the refractive index. But moving scatterers or a fluctuating refractive index…

Reflectometry is a technique that uses the light reflected by a sample to determine properties of the sample. Interferometric reflectometry uses interference between two beams, one of which is incident on ---and reflected back by--- a…

Optics · Physics 2019-10-10 Alexander Nahmad-Rohen , Wolfgang Langbein

This dissertation is concerned with understanding and analyzing some of the effects of diffraction in the near field. The contributions of homogeneous and of evanescent waves to two-dimensional near-field diffraction patterns of scalar…

Optics · Physics 2007-05-23 Marek W. Kowarz

Estimating and modelling the appearance of an object under outdoor illumination conditions is a complex process. Although there have been several studies on illumination estimation and relighting, very few of them focus on estimating the…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Farhan Rahman Wasee , Alen Joy , Charalambos Poullis

The chapter contains a detailed presentation of the surface integral theory for modelling light diffraction by surface-relief diffraction gratings having a one-dimensional periodicity. Several different approaches are presented, leading…

Optics · Physics 2014-06-03 Daniel Maystre , Evgeny Popov