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Transfer matrix method is a well-known and extensively used tool to compute the reflection and transmission coefficients of electromagnetic waves when interacting with a system of layers parallel to each other. We present here a modified…

Optics · Physics 2017-03-14 Srinivas Ganganagunta

The Transfer Matrix Method is a powerful numerical tool for simulating wave propagation in layered media. It has been widely applied in many fields, although its use is typically restricted to passive media. In this paper, we develop the…

We derive the off-shell scattering matrix for a spherical scatterer. The result obtained generalizes the off-on-shell matrix commonly used in the theory of scalar waves propagation in random media.

Condensed Matter · Physics 2007-05-23 V. S. Podolsky , A. A. Lisyansky

The formalism of the scattering matrix is applied to describe the transmission properties of multilayered structures with deep variations of the refractive index and arbitrary arrangements of the layers. We show that there is an exact…

Optics · Physics 2011-09-22 Victor Grigoriev , Fabio Biancalana

Transmission matrices, mapping the propagation of light from one end of the tissue to the other, form an important mathematical tool in the analysis of tissue scattering and the design of wavefront shaping systems. To understand the…

Optics · Physics 2025-04-01 Anat Levin , Marina Alterman

Accurate and fast modeling of electric fields in layered structures have a great scientific and practical value. Prevalent method for that is transfer-matrix method. However, transfer matrix method is limited to infinite plane wave…

Optics · Physics 2017-07-04 A. Loot , V. Hizhnyakov

The scattering properties of quantum particles on fractal potentials at different stages of fractal growth are obtained by means of the transfer matrix method. This approach can be easily adopted for project assignments in introductory…

Review of a matrix method used in optics of thin films for the calculation of reflectance, transmittance, absorptance, the electric field distribution inside the stack and the photonic dispersion considering the stack as perfect…

Optics · Physics 2018-09-21 Leandro N. Acquaroli

This paper extends the recently introduced Front Face Flash Method for extraction of thermal diffusivity of thin films to samples of small optical thickness. The paper discusses the principal question whether diffusivity is uniquely defined…

Superconductivity · Physics 2024-01-22 O. Yu Troitsky , H. Reiss

The transfer matrix formalism is widely used in modeling heat diffusion in layered structures.Due to an intrinsic numerical instability issue, which has not yet drawn enough attention to the heat transfer community,this formalism fails at…

Applied Physics · Physics 2022-10-05 Tao Li , Zhen Chen

The transfer-matrix method is a standard approach to wave propagation in stratified media. With the advent of cold-atom-based quantum and photonic technologies, several experiments and many proposals consider light propagation in…

Atomic Physics · Physics 2026-01-22 Igor M. Sokolov , William Guerin

A Monte Carlo model of radiative transfer in multi-phase dusty media is applied to the situation of stars and clumpy dust in a sphere or a disk. The distribution of escaping and absorbed photons are shown for various filling factors and…

Astrophysics · Physics 2007-05-23 Frank Varosi , Eli Dwek

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

Statistical Mechanics · Physics 2009-11-11 Michael J. Caola

To study the optical rotation of the polarization of light incident on multilayer systems consisting of atomically thin conductors and dielectric multilayers we present a general method based on transfer matrices. The transfer matrix of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Gábor Széchenyi , Máté Vigh , Andor Kormányos , József Cserti

A semiclassical model is presented for characterizing the linear response of elementary quantum optical systems involving cavities, optical fibers, and atoms. Formulating the transmission and reflection spectra using a scattering-wave…

Quantum Physics · Physics 2020-07-01 Nikolett Német , Donald White , Shinya Kato , Scott Parkins , Takao Aoki

Transfer matrix method gives underlying dynamics of a multifractal. In the present studies transfer matrix method is applied to multifractal properties of Cherenkov image from which probabilities of electromagnetic components are obtained.

Data Analysis, Statistics and Probability · Physics 2015-05-13 Ashok Razdan

Scattering-type scanning near-field optical microscopy is a powerful imaging technique for studying materials beyond the diffraction limit. However, interpreting near-field measurements poses challenges in mapping the response of…

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

Light transfer in gradient-index media generally follows curved ray trajectories, which will cause light beam to converge or diverge during transfer and induce the rotation of polarization ellipse even when the medium is transparent.…

Optics · Physics 2014-12-16 J. M. Zhao , J. Y. Tan , L. H. Liu

Birefringent crystals are extensively used to manipulate polarized light. The generalized transfer matrix developed allows efficient calculation of the full polarization state of light transmitted through and reflected by a stack of…

Optics · Physics 2014-03-25 Thomas Essinger-Hileman
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