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We discuss curvature corrections to Fresnel's laws for the reflection and transmission of light at a non-planar refractive-index boundary. The reflection coefficients are obtained from the resonances of a dielectric disk within a…

Optics · Physics 2009-09-25 M. Hentschel , H. Schomerus

We develop an amended ray optics description for reflection at the curved dielectric interfaces of optical microresonators which improves the agreement with wave optics by about one order of magnitude. The corrections are separated into two…

Optics · Physics 2007-05-23 Henning Schomerus , Martina Hentschel

Fresnel laws, the quantitative information of the amount of light that is reflected from a planar interface in dependence on its angle of incidence, are at the core of ray optics. However, these formulae do not hold at curved interfaces and…

Optics · Physics 2019-07-11 Sebastian Luhn , Martina Hentschel

The law of reflection and Snell's law are among the tenets of geometrical optics. Corrections to these laws in wave optics are respectively known as the angular Goos-H\"anchen shift and Fresnel filtering. In this paper we give a positive…

Optics · Physics 2013-06-27 Jörg B. Götte , Susumu Shinohara , Martina Hentschel

Optical microcavities are open billiards for light in which electromagnetic waves can, however, be confined by total internal reflection at dielectric boundaries. These resonators enrich the class of model systems in the field of quantum…

Optics · Physics 2009-11-13 Martina Hentschel

For optical beams, transmitted by a right angle prism, the Goos-Haenchen shift can never be seen as a pure effect. Indeed, the lateral displacement, caused by the total internal reflection, will always be accompanied by angular deviations…

Optics · Physics 2022-09-09 Stefano De Leo , Luca Maggio , Moreno D'Ambrosio

We show that when a narrow beam is incident upon a dielectric interface near the critical angle for total internal reflection it will be transmitted into the far-field with an angular deflection from the direction predicted by Snell's Law,…

Optics · Physics 2009-11-07 H. E. Tureci , A. D. Stone

An exact analogy between wave mechanics in quantum theory and the scalar wave treatment of optics emerges from the marriage of Newtonian formulation of geometrical optics [1] and the ``formal quantum theory of light rays'' [2]. Here the…

General Physics · Physics 2025-09-26 Sayanho Biswas , Kolahal Bhattacharya

We show in which conditions optical gaussian beams, propagating throughout an homogeneous dielectric right angle prism, present an asymmetric Goos-H\"anchen (GH) effect. This asymmetric behavior is seen for incidence at critical angles and…

Optics · Physics 2013-11-20 Manoel P. Araujo , Silvânia A. Carvalho , Stefano De Leo

The Fresnel-Snell law, which is one of the fundamental laws in optics and gives insights on the behaviour of light at interfaces, is violated if there exists dissipation in the transmitting media. In order to overcome this problem, we…

Optics · Physics 2019-05-30 Daigo Oue

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

The interference between optical beams of different polarizations plays a fundamental role in reproducing the optical analog of the electron spin weak measurement. The extraordinary point in optical weak measurements is represented by the…

Optics · Physics 2015-06-23 Manoel P. Araujo , Stefano De Leo , Gabriel G. Maia

Fluorescence Correlation Spectroscopy (FCS) yields measurement parameters (number of molecules, diffusion time) that characterize the concentration and kinetics of fluorescent molecules within a supposedly known observation volume. Absolute…

Biological Physics · Physics 2011-12-23 Charles Edouard Leroux , Irène Wang , Jacques Derouard , Antoine Delon

By considering an optically denser medium with a flat surface, but with natural roughness instead of abstract geometrical boundary which leads to mathematical discontinuity on the boundary of two adjacent stratified media, we have thus…

Optics · Physics 2016-09-30 Z. Tahmasebi , M. Amiri

We study lasing emission from asymmetric resonant cavity (ARC) GaN micro-lasers. By comparing far-field intensity patterns with images of the micro-laser we find that the lasing modes are concentrated on three-bounce unstable periodic ray…

We study the output from the modes described by the superposition of Gaussian beams confined in the quasi-stadium microcavities. We experimentally observe the deviation from Snell's law in the output when the incident angle of the Gaussian…

Optics · Physics 2011-03-16 Susumu Shinohara , Takahisa Harayama , Takehiro Fukushima

Since the discovery of the Goos-H\"anchen (GH) shift in the 1940s, its deep connections to Fourier transforms and causality have led to widespread interest and applications in optics, acoustics, and quantum mechanics. Control of the shift…

Recently, the electronic analogy of the anomalous spatial shift, including Goos-H\"{a}nchen and Imbert-Fedorov effects, has been attracting widespread interest. The current research on the anomalous spatial shift in interface electronic…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Runze Li , Chaoxi Cui , Xinxing Zhou , Zhiming Yu

The coherent Goos-H$\ddot{a}$nchen shifts of meta-grating are proposed, which is the Goos-H$\ddot{a}$nchen shifts of the two outgoing beams under the simultaneous incidence of two coherent optical beams from opposite sides of the grating…

Optics · Physics 2025-06-24 Ma Luo , Feng Wu

We present a theoretical investigation of the Goos-H\"anchen effect, i.e., the lateral shift of the light beam transmitted through one-dimensional biperiodic multilayered photonic systems consisting of equidistantmagnetic layers separated…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Yu. S. Dadoenkova , N. N. Dadoenkova , J. W. Kłos , M. Krawczyk , I. L. Lyubchanskii
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