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It has been shown that equivariant convolution is very helpful for many types of computer vision tasks. Recently, the 2D filter parametrization technique plays an important role when designing equivariant convolutions. However, the current…

计算机视觉与模式识别 · 计算机科学 2023-03-10 Qi Xie , Qian Zhao , Zongben Xu , Deyu Meng

Simulating photon dynamics in strong light-matter coupling situations via classical trajectories is proving to be powerful and practical. Here we analyze the performance of the approach through the lens of the exact factorization approach.…

量子物理 · 物理学 2024-06-19 Bart Rosenzweig , Norah M. Hoffmann , Lionel Lacombe , Neepa T. Maitra

We have described a novel way to determine the Mueller matrix of any optical element by using projection method. For this purpose, we have used two universal SU(2) gadgets for polarization optics to obtain projection matrix directly from…

In this paper the salient features of the Plane Wave Expansion (PWE) method and the mixed variational technique are combined for the fast eigenvalue computations of arbitrarily complex phononic unit cells. This is done by expanding the…

材料科学 · 物理学 2017-05-29 Yan Lu , Ankit Srivastava

We introduce a new approach to an enumerative problem closely linked with the geometry of branched coverings; that is, we study the number of ways a permutation can be decomposed into a product of a given number of 2-cycles, 3-cycles, etc.…

组合数学 · 数学 2007-05-23 John Irving

We present an approach to classical polarimetry that requires no moving parts, is compact and robust, and that encodes the complete polarization information on a single data frame, accomplished by replacing the rotation of components such…

天体物理仪器与方法 · 物理学 2019-05-29 William B. Sparks , Thomas A. Germer , Rebecca M. Sparks

The Weyl-Wigner prescription for quantization on Euclidean phase spaces makes essential use of Fourier duality. The extension of this property to more general phase spaces requires the use of Kac algebras, which provide the necessary…

funct-an · 数学 2009-10-28 R. Aldrovandi , L. A. Saeger

A previous work, ref. 2 experimentally confirmed that measured special polarization characteristic features of a three-dimensional terahertz (THz) photonic-crystal did not apparently apply to general physical- and optical- basic rules. It…

光学 · 物理学 2019-03-20 Chikara Sakurai

We analyze and test using Fourier extensions that minimize a Hilbert space norm for the purpose of solving partial differential equations (PDEs) on surfaces. In particular, we prove that the approach is arbitrarily high-order and also show…

数值分析 · 数学 2025-12-30 Daniel R. Venn , Steven J. Ruuth

We study the influence of the space and time dispersion on the frequency dependence of the wave vectors of electromagnetic waves propagating in three-dimensional photonic crystals. Two types of structures are considered: media with weak…

其他凝聚态物理 · 物理学 2007-05-23 F. Bass , V. Freilikher , O. Shefranova

In this work we propose a general theoretical approach to the modelling of complex dispersion characteristics of leaky optical modes operating in photonic crystal slab composed of two high-index contrast gratings, beyond the protection of…

光学 · 物理学 2022-10-05 X. Letartre , S. Mazauric , S. Cueff , T. Benyattou , H S. Nguyen , P. Viktorovitch

Modern design of complex optical systems relies heavily on computational tools. These typically utilize geometrical optics as well as Fourier optics, which enables the use of diffractive elements to manipulate light with features on the…

光学 · 物理学 2022-07-27 Boris Ferdman , Alon Saguy , Onit Alalouf , Yoav Shechtman

Generalized Parton Distributions (GPDs) carry information on the internal structure of hadrons such as the angular momentum of quarks and gluons, or their spacelike distribution. They can be experimentally studied in exclusive experiments…

高能物理 - 唯象学 · 物理学 2021-08-13 Oskar Grocholski

We derive the invariant imbedding equations for plane electromagnetic waves propagating in stratified magnetic media, where both dielectric and magnetic permeabilities vary in one spatial direction in an arbitrary manner. These equations…

凝聚态物理 · 物理学 2007-05-23 Kihong Kim , H. Lim , Dong-Hun Lee

Using the FDTD method, we investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel air cylinders in a dielectric medium. The corresponding frequency band structure is computed using the standard…

材料科学 · 物理学 2009-11-10 Hung-Ta Chien , Hui-Ting Tang , Chao-Hsien Kuo , Chii-Chang Chen , Zhen Ye

The band structure of a novel type of photonic crystal with superconducting constituent elements is calculated numerically via a plane wave expansion. The density of states and the dependence of the width of the photonic gap on the filling…

超导电性 · 物理学 2007-05-23 Oleg L. Berman , Yurii E. Lozovik , Sergey L. Eiderman , Rob D. Coalson

We describe a real-space approach to the calculation of the properties of an insulating crystal in an applied electric field, based on the iterative determination of the Wannier functions (WF's) of the occupied bands. It has been recently…

凝聚态物理 · 物理学 2009-10-22 R. W. Nunes , David Vanderbilt

The annular photonic crystals have been regarded as a satisfactory candidate to realize dual-polarization photonic device. In this letter, we focus our attention on the study of annular photonic crystal cavity to verify its application in…

光学 · 物理学 2014-05-27 Liyong Jiang , Wei Jia , Hong Wu , Wei Zhang , Wei Su , Xiangyin Li

We present a new ab initio approach to study molecules containing heavy atoms strongly interacting with quantum fields in optical devices. The theory has been derived from the relativistic quantum electrodynamics (QED) introducing the…

化学物理 · 物理学 2025-07-03 Guillaume Thiam , Riccardo Rossi , Henrik Koch , Leonardo Belpassi , Enrico Ronca

The symmetry conditions for the development of a macroscopic electrical polarization as a secondary order parameter to a magnetic ordering transition, and the constraints on the direction of the polarization vector, are determined by a…

强关联电子 · 物理学 2009-11-11 P. G. Radaelli , L. C. Chapon