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We study the reflection of a Hermite-Gaussian beam at an interface between two dielectric media. We show that unlike Laguerre-Gaussian beams, Hermite-Gaussian beams undergo no significant distortion upon reflection. We report Goos-H\"anchen…

Optics · Physics 2015-05-20 Dheeraj Golla , Subhasish Dutta Gupta

Two results about the planewave response of an isotropic, dielectric--magnetic, homogeneous, planar slab are deduced when the real parts of both the permittivity and the permeability are altered from positive to negative. First, the…

Classical Physics · Physics 2007-05-23 A. Lakhtakia

Recently, there has been a revival of interest in mechanisms for changing the spin polarization of an electron beam on transmission through, or reflection from, a magnetic surface. An understanding of these mechanisms would allow the use of…

Condensed Matter · Physics 2016-08-31 D. C. Hatton , J. A. C. Bland

Laguerre-Gaussian (LG) beams reflected from a multi-layered dielectric experience a shift in their centroid that is different than that from a single interface. This has been previously investigated for linearly polarized beams and, to a…

Optics · Physics 2016-09-23 Mark T. Lusk , Mark E. Siemens , Guillermo F. Quinteiro

We study the Boltzmann equation in a smooth bounded domain featuring a mixed boundary condition. Specifically, gas particles experience specular reflection in two parallel plates, while diffusive reflection occurs in the remaining portion…

Analysis of PDEs · Mathematics 2024-01-03 Hongxu Chen , Renjun Duan

The optical reflection coefficient of a dielectric medium moving uniformly in the plane spanned by its surface is rigorously calculated using classical electrodynamics and special relativity, and expressed in the Fourier domain, as a…

The emergence of neural and Gaussian-based radiance field methods has led to considerable advancements in novel view synthesis and 3D object reconstruction. Nonetheless, specular reflection and refraction continue to pose significant…

Graphics · Computer Science 2025-05-02 Letian Huang , Dongwei Ye , Jialin Dan , Chengzhi Tao , Huiwen Liu , Kun Zhou , Bo Ren , Yuanqi Li , Yanwen Guo , Jie Guo

In a recent experiment, the out-of-plane surface susceptibility of a single-layer two-dimensional atom crystal in the visible spectrum has been measured. This susceptibility gives a measurable contribution to the reflectivity of…

Optics · Physics 2022-05-26 Luca Dell'Anna , Yu He , Michele Merano

Due to the real-time rendering performance, 3D Gaussian Splatting (3DGS) has emerged as the leading method for radiance field reconstruction. However, its reliance on spherical harmonics for color encoding inherently limits its ability to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Yixin Yang , Bojian Wu , Yang Zhou , Hui Huang

We present precise expressions of the spatial and angular Goos-Haenchen and Imbert-Fedorov shifts experienced by a longitudinally and transversally limited beam of light (wave packet) upon reflection from a dielectric interface, as opposed…

Optics · Physics 2015-06-11 Marco Ornigotti , Andrea Aiello

We use geometrical optics and the caustic-touching theorem to study, in an exact way, the change in the topology of the image of an object obtained by reflections on an arbitrary smooth surface. Since the procedure that we use to compute…

Optics · Physics 2009-11-13 Edwin Román-Hernández , Gilberto Silva-Ortigoza

We study the beam reflection from a layered structure with a left-handed metamaterial. We predict a giant lateral (Goos-Hanchen) shift and splitting of the beam due to the resonant excitation of surface polaritons with a vortex-like energy…

Optics · Physics 2007-05-23 Ilya V. Shadrivov , Alexander A. Zharov , Yuri S. Kivshar

We study the formation of images in a reflective sphere in three configurations using caustics of the field of light rays. The optical wavefront emerging from a source point reaching a subject following passage through the optical system…

The advent of neural and Gaussian-based radiance field methods have achieved great success in the field of novel view synthesis. However, specular reflection remains non-trivial, as the high frequency radiance field is notoriously difficult…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Keyang Ye , Qiming Hou , Kun Zhou

Spatial characteristics of the optical-vortex (OV) beams created during the Gaussian beam diffraction by a grating with groove bifurcation are analyzed theoretically and numerically. In contrast to previous works, condition of small-angle…

Optics · Physics 2009-07-16 A. Bekshaev , O. Orlinska , M. Vasnetsov

We study coherent wave scattering through waveguides with a step-like surface disorder and find distinct enhancements in the reflection coefficients at well-defined resonance values. Based on detailed numerical and analytical calculations,…

Disordered Systems and Neural Networks · Physics 2014-05-13 J. Doppler , J. A. Méndez-Bermúdez , J. Feist , O. Dietz , D. O. Krimer , N. M. Makarov , F. M. Izrailev , S. Rotter

The law of reflection states that smooth surfaces reflect waves specularly, thereby acting as a mirror. This law is insensitive to disorder as long as its length scale is smaller than the wavelength. Monolayer graphene exhibits a linear…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 E. Walter , T. Ö. Rosdahl , A. R. Akhmerov , F. Hassler

We explore the analogy between following the motion of a reflected wave packet, and a quantum measurement of the spatial delay imposed on the particle by the scattering potential. It is shown that converting such delays into temporal…

Quantum Physics · Physics 2025-09-29 D. Sokolovski , A. Uranga , Y. Caudano

Gaussian Splatting is a powerful tool for reconstructing diffuse scenes, but it struggles to simultaneously model specular reflections and the appearance of objects behind semi-transparent surfaces. These specular reflections and…

Graphics · Computer Science 2026-04-02 Kunnong Zeng , Chensheng Peng , Yichen Xie , Masayoshi Tomizuka , Cem Yuksel

A representation theory of finite electromagnetic beams in free space is formulated by factorizing the field vector of the plane-wave component into a $3 \times 2$ mapping matrix and a 2-component Jones-like vector. The mapping matrix has…

Optics · Physics 2016-02-01 Chun-Fang Li