Wave Reflection/Transmission Analysis of Thick Multi-Layered Structures Using the Numerical Truncation Approximation for the Transfer Matrix Technique

1999 ◽  
Author(s):  
Krishnan Balasubramaniam
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Wave Reflection ◽  
Layered Structures ◽  
Numerical Instability ◽  
Wide Range

Abstract In this paper, the authors describe a numerical truncation technique for handling the numerical instability problems associated with the utilization of the transfer matrix method. This, rather simplistic modification to the numerical coding extends the transfer matrix method to a wide range of applications.

scholarly journals Selective spin transport through a quantum heterostructure: Transfer matrix method

2016 ◽  
Vol 30 (25) ◽  
pp. 1650184 ◽  
Author(s):  
Moumita Dey ◽  
Santanu K. Maiti
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Spin Transport ◽  
Tight Binding ◽  
Transmission Probability ◽  
Applied Bias Voltage ◽  
One Dimensional ◽  
Wide Range ◽  
Nanoscale Level

In the present work, we propose that a one-dimensional quantum heterostructure composed of magnetic and non-magnetic (NM) atomic sites can be utilized as a spin filter for a wide range of applied bias voltage. A simple tight-binding framework is given to describe the conducting junction where the heterostructure is coupled to two semi-infinite one-dimensional NM electrodes. Based on transfer matrix method, all the calculations are performed numerically which describe two-terminal spin-dependent transmission probability along with junction current through the wire. Our detailed analysis may provide fundamental aspects of selective spin transport phenomena in one-dimensional heterostructures at nanoscale level.

Electromagnetic tunneling through a three-layer asymmetric medium containing epsilon-negative slabs

Open Physics ◽  
2013 ◽  
Vol 11 (5) ◽  
Author(s):  
Chao Yang ◽  
Hui Zhao
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Resonant Tunneling ◽  
Incidence Angle ◽  
Wide Range ◽  
Tunneling Phenomenon

AbstractWith the transfer-matrix method, conditions of extraordinary electromagnetic resonant tunneling through all combinations of three-layer nonmagnetic (µr = 1) media containing epsilon-negative (ENG) and doublepositive (DPS) slabs were explored. We show that abnormal phenomena can occur in the ENG-DPS-ENG structure, without any restriction on the permittivity of the DPS layer. Changes of transmittance as a function of frequency and incidence angle for a dispersive, lossy model are also calculated, and the results demonstrate the possibility of exhibition this counterintuitive tunneling phenomenon in the DPS-ENG-DPS structure within a wide range of incidence angles.

Generalized Eigensolution to Piecewise Continuous Distributed-Parameter Models of Piezoelectric Energy Harvesters Using the Transfer Matrix Method

2011 ◽  
Author(s):  
Adam M. Wickenheiser ◽  
Timothy Reissman
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Mode Shapes ◽  
Transfer Matrices ◽  
Coupling Effects ◽  
Beam Structures ◽  
Energy Harvesters ◽  
Piezoelectric Energy ◽  
Wide Range

Many multi-beam energy harvesters appearing in the literature require custom analytical or finite-element models to compute their eigensolutions and piezoelectric coupling effects. This paper discusses the use of the transfer matrix method to derive analytical solutions to beam structures with point-wise discontinuities or with lumped inertias between members or at the tip. In this method, transfer matrices are developed for the beam’s states (deflection, slope, shear force, and bending moment) analogously to the state transition matrix of a linear system. Euler-Bernoulli beam theory is used to derive transfer matrices for the uniform beam segments, and point transfer matrices are derived to handle discontinuities in the structure. The transfer matrix method is shown to be advantageous for analyzing complex structures because the size of the transfer matrix does not grow with increasing number of components in the structure. Furthermore, the same formulation can be used for a wide range of geometries, including arbitrary combinations of beam segments — single- or multi-layered — and lumped inertias. The eigensolution of the transfer matrix is shown to produce the natural frequencies and mode shapes for these structures. Subsequently, the electromechanical coupling effects are incorporated and the base excitation problem is considered. The electromechanical equations of motion are decoupled by mode and shown to be a generalization of existing analytical models. Parametric case studies are provided for beam structures with varying piezoelectric layer coverage.

Sign in / Sign up

Export Citation Format

Share Document