The transfer matrix: A geometrical perspective

LL Sánchez-Soto, JJ Monzón, AG Barriuso… - Physics Reports, 2012 - Elsevier
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 …

Predicting the stop-band behaviour of finite mono-coupled periodic structures from the transmissibility of a single element

PJP Gonçalves, MJ Brennan, VG Cleante - Mechanical Systems and Signal …, 2021 - Elsevier
The study of mono-coupled periodic structures has gained renewed interest by the scientific
community due to the new applications of metamaterials and meta-structures. Much …

The transfer matrix method and the theory of finite periodic systems. From heterostructures to superlattices

P Pereyra - physica status solidi (b), 2022 - Wiley Online Library
Historically, the physics, energy spectrum, and wave functions of superlattices have had
different levels of understanding. Unlike the standard approaches, based on theorems for …

Fundamental transfer matrix and dynamical formulation of stationary scattering in two and three dimensions

F Loran, A Mostafazadeh - Physical Review A, 2021 - APS
We offer a consistent dynamical formulation of stationary scattering in two and three
dimensions (2D and 3D) that is based on a suitable multidimensional generalization of the …

One-dimensional dielectric bi-periodic photonic structures based on ternary photonic crystals

NN Dadoenkova, YS Dadoenkova… - Journal of Applied …, 2018 - pubs.aip.org
We investigate the transmittivity spectra, fields, and energy distribution of the
electromagnetic eigenwaves propagating in a one-dimensional (1D) dielectric photonic …

Transfer matrix in 1D Dirac-like problems

M Ibarra-Reyes, R Pérez-Álvarez… - Journal of Physics …, 2023 - iopscience.iop.org
The transfer matrix method is considered to obtain the fundamental properties of 1D Dirac-
like problems. The case of 1D problems in monolayer graphene is addressed. The main …

Eigenvalues, eigenfunctions, and surface states in finite periodic systems

P Pereyra - Annals of Physics, 2005 - Elsevier
Using a simple approach that requires neither the Bloch functions nor the reciprocal lattice,
new, compact, and rigorous analytical formulas are derived for an accurate evaluation of …

Transfer-matrix formulation of the scattering of electromagnetic waves and broadband invisibility in three dimensions

F Loran, A Mostafazadeh - Journal of Physics A: Mathematical …, 2020 - iopscience.iop.org
We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a
general isotropic medium which makes use of a notion of electromagnetic transfer matrix …

On the exploitation of mode localization in surface acoustic wave MEMS

TH Hanley, BJ Gallacher, HTD Grigg - Mechanical Systems and Signal …, 2017 - Elsevier
Mode localization sensing has been recently introduced as an alternative resonant sensing
protocol. It has been shown to exhibit several advantages over other resonant methods, in …

Multichannel tunneling in multiband heterostructures: Heavy-hole and light-hole transmission properties

L Diago-Cisneros, H Rodríguez-Coppola… - Physical Review B …, 2006 - APS
Based on the standard multiband Hamiltonians, the quadratic eigenvalue problem method
and the multichannel transfer matrix technique, we develop a general approach to study …