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We show that the problem of finding the primary and secondary characteristic directions of a linear lossless optical element can be reformulated in terms of an eigenvalue problem related to the unimodular factor of the transfer matrix of…

光学 · 物理学 2007-05-23 Hanno Hammer

The Classification of Polarization elements, the polarization affecting optical devices which have a Jones matrix representation, according to the types of eigenvectors they possess, is given a new visit through the Group-theoretical…

光学 · 物理学 2009-11-06 Sudha , A. V. Gopala Rao

Parallel transport of a vector around a closed curve on the surface of a sphere leads to a direction holonomy which can be related with a geometric phase that is equal to the solid angle subtended by the closed curve. Since Pancharatnam…

综合物理 · 物理学 2007-05-23 S. C. Tiwari

We demonstrate, in the full vector formulation of electromagnetic fields, that the well-known optical theorem pertinent for the characterization of a scatterer's extinction power and associated cross section can be expressed in a multitude…

光学 · 物理学 2025-06-11 Edwin A. Marengo , Mohammadrasoul Taghavi

In polarization optics, various topological constructs, namely Poincar\'e spheres of different orders, are used to represent uniform and structured polarization distributions. Similarly, there are also structured polarization optical…

光学 · 物理学 2025-07-08 Mohammad Umar , P. Senthilkumaran

The Mueller Matrix Polar Decomposition method decomposes a Mueller matrix into a diattenuator, a retarder, and a depolarizer. Among these elements, the retarder, which plays a key role in medical and material characterization, is modelled…

Characterizing and controlling matter driven far from equilibrium represents a major challenge for science and technology. Here we develop a theory for the optical absorption of electronic materials driven far from equilibrium by resonant…

介观与纳米尺度物理 · 物理学 2018-12-19 Bing Gu , Ignacio Franco

In the pattern matching approach to imaging science, the process of ``metamorphosis'' is template matching with dynamical templates. Here, we recast the metamorphosis equations of into the Euler-Poincare variational framework of and show…

计算机视觉与模式识别 · 计算机科学 2008-06-14 Darryl D. Holm , Alain Trouve , Laurent Younes

In this paper we present a first non-iterative imaging method for nonlinear materials, based on Monotonicity Principle. Specifically, we deal with the inverse obstacle problem, where the aim is to retrieve a nonlinear anomaly embedded in…

Polarization-resolved control and measurement of the optical field are essential for a wide range of photonic systems, including coherent communication, polarimetric sensing, and quantum information processing. We present a photonic…

The Eigendecomposition of quadratic forms (symmetric matrices) guaranteed by the spectral theorem is a foundational result in applied mathematics. Motivated by a shared structure found in inferential problems of recent interest---namely…

机器学习 · 计算机科学 2018-02-26 Mikhail Belkin , Luis Rademacher , James Voss

Polarization independent Mie scattering of building blocks is foundational for constructions of optical systems with robust functionalities. Conventional studies for such polarization independence are generally restricted to special states…

光学 · 物理学 2020-06-25 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

Based on the broken spatial symmetry, we propose a novel scheme for engineering a unidirectional photonic reflector using a one-dimensional atomic lattice with defective cells that have been specifically designed to be vacant. By trapping…

光学 · 物理学 2023-10-16 Tianming Li , Hong Yang , Maohua Wang , Chengping Yin , Tinggui Zhang , Yan Zhang

The Stokes-parameter operators and the associated Poincare sphere, which describe the quantum-optical polarization properties of light, are defined and their basic properties are reviewed. The general features of the Stokes operators are…

Photons are elementary particles of lights, which have both spin and orbital angular momentum as internal degrees of freedom. Nature of spin is known as polarisation, which is widely used for sunglasses, liquid-crystal displays,…

光学 · 物理学 2023-04-06 Shinichi Saito

The polarization process when polarizers act on an optical field is studied. We give examples for two kinds of polarizers. The first kind presents an anisotropic absorption - as in a polaroid film - and the second one is based on total…

光学 · 物理学 2008-09-09 J. Lages , R. Giust , J. -M. Vigoureux

Using the Jones matrix formalism, crystal optical properties of inhomogeneous material consisting of a pile of weakly birefringent plates are analysed in relation to the cell model adopted in polarization tomography of 3D dielectric tensor…

光学 · 物理学 2007-09-04 O. Kushnir , P. Nek , R. Vlokh , N. Kukhtarev

In time-reversal invariant electronic systems the scattering matrix is anti-symmetric. This property enables an effect, designated here as "scattering anomaly", such that the electron transport does not suffer from back reflections,…

光学 · 物理学 2017-03-03 Mario G. Silveirinha

We study the backward scatterings of plane waves by reciprocal scatterers and reveal that $n$-fold ($n\geq3$) rotation symmetry is sufficient to secure invariant backscattering for arbitrarily-polarized incident plane waves. It is further…

光学 · 物理学 2021-01-27 Weijin Chen , Qingdong Yang , Yuntian Chen , Wei Liu

In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a…

数值分析 · 数学 2024-02-23 Peter Elbau , Leonidas Mindrinos , Leopold Veselka
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