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We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two setups, where the wave propagation is along…

Mathematical Physics · Physics 2024-01-30 Liliana Borcea , Josselin Garnier

We describe a generalized formalism, addressing the fundamental problem of reflection and transmission of complex optical waves at a plane dielectric interface. Our formalism involves the application of generalized operator matrices to the…

Optics · Physics 2023-02-28 Anirban Debnath , Nirmal K. Viswanathan

We present a comprehensive and self-contained discussion of the use of the transfer matrix to study propagation in one-dimensional lossless systems, including a variety of examples, such as superlattices, photonic crystals, and optical…

Statistical Mechanics · Physics 2012-05-08 L. L. Sanchez-Soto , J. J. Monzon , A. G. Barriuso , J. F. Carinena

A novel approach to study transmission through waveguides in terms of optical streamlines is presented. This theoretical framework combines the computational performance of beam propagation methods with the possibility to monitor the…

Optics · Physics 2012-04-12 A. S. Sanz , J. Campos-Martinez , S. Miret-Artes

We analyze coherent wave transport in a new physical setting associated with multimode wave systems where reflection is completely suppressed and mode-dependent losses together with mode-mixing are dictating the wave propagation. An…

Optics · Physics 2019-10-24 P. Chiarawongse , H. Li , W. Xiong , C. W. Hsu , H. Cao , T. Kottos

We introduce a new approach for measuring both the effective medium and the transport properties of light propagation in heterogeneous media. Our method utilizes the conceptual equivalence of frequency variation with a change in the…

Optics · Physics 2009-12-21 Sanli Faez , P. M. Johnson , Ad Lagendijk

The scattering matrix, which quantifies the optical reflection and transmission of a photonic structure, is pivotal for understanding the performance of the structure. In many photonic design tasks, it is also desired to know how the…

Optics · Physics 2020-12-30 Ziwei Zhu , Changxi Zheng

In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following features: - It produces a complete set of…

Mathematical Physics · Physics 2025-08-19 Sergey Sergeev

This article is a direct continuation of [1] where we begun the study of the transfer matrix spectral problem for the cyclic representations of the trigonometric 6-vertex reflection algebra associated to the Bazhanov-Stroganov Lax operator.…

Mathematical Physics · Physics 2018-09-26 J. M. Maillet , G. Niccoli , B. Pezelier

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

We investigate the reconstruction of the transmission matrix of a time-evolving atmospheric channel with an online recursive optimization routine, using wave-optics simulations. We demonstrate that this estimation technique is able to keep…

Optics · Physics 2025-04-02 Giacomo Sorelli , Douglas McDonald , Szymon Gladysz

The approach to calculating the effective dielectric and magnetic response in bounded composite materials is developed. The method is essentially based on the renormalisation of the dielectric matrix parameters to account for the surface…

Materials Science · Physics 2009-11-07 D. P. Makhnovskiy , L. V. Panina , D. J. Mapps , A. K. Sarychev

We present an approach for the study and design of reflectors with rotational or translational symmetry that redirect light from a point source into any desired radiant intensity distribution. This method is based on a simple conformal map…

Optics · Physics 2019-09-04 Luis A. Aleman Castaneda , Miguel A. Alonso

Optical multilayer thin-films are fundamental components that enable the precise control of reflectance, transmittance, and phase shift in the design of photonic systems. Rapid and accessible simulation of these structures holds critical…

Computational Physics · Physics 2025-10-27 Bahrem Serhat Danis , Esra Zayim

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

Numerical Analysis · Mathematics 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

Nanowires show a large potential for various electrooptical devices, such as light emitting diodes, solar cells and nanowire lasers. We present a direct method developed to calculate the modal reflection and transmission matrix at the end…

Optics · Physics 2015-03-17 Guro K. Svendsen , Helge Weman , Johannes Skaar

We analyze single and multilayered metamaterials by modeling each layer as a metasurface with effective surface electric and magnetic susceptibility derived through a thin film approximation. Employing a transfer matrix method, these…

Unlike common devices based on ring resonators, the structure in Fig. 1.a involves not only 2$\times$2 couplers but also a 3$\times$3 coupler, which means that a 3$\times$3 transfer matrix approach is required to model the system. To the…

Optics · Physics 2022-02-01 Matteo Cherchi

We present a new method for computing the transverse transfer matrix through superimposed axisymmetric RF and solenoid field maps. The algorithm constructs the transfer matrix directly from one dimensional RF and solenoid field maps without…

Accelerator Physics · Physics 2011-07-21 Colwyn Gulliford , Ivan Bazarov

We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically…

Analysis of PDEs · Mathematics 2024-01-04 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff