Electromagnetic analogs of quantum mechanical tunneling

Riga, Jeanne; Seviour, Rebecca

doi:10.1063/5.0118308

Cited by 3 publications

(1 citation statement)

References 48 publications

(54 reference statements)

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“…The numerical instabilities start at kd ≈ 60. For details and derivation of the correspondence between the electromagnetic analog of quantum mechanical tunneling by use of the transfer matrix approach, see [28].…”

Section: Frustrated Total Internal Reflectionmentioning

confidence: 99%

Stabilization of Evanescent Wave Propagation Operators

Andersson¹,

Sjöberg²,

Kristensson³

2023

PIER B

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This paper presents a stabilized scheme that solves the wave propagation problem in a general bianisotropic, stratified medium. The method utilizes the concept of propagators, i.e., the wave propagation operators that map the total tangential electric and magnetic fields from one plane in the slab to another. The scheme transforms the propagator approach into a scattering matrix form, where a spectral decomposition of the propagator enables separation of the exponentially growing and decaying terms in order to obtain a well-conditioned formulation. Multilayer structures can be handled in a stable manner using the dissipative property of the Redheffer star product for cascading scattering matrices. The reflection and transmission dyadics for a general bianisotropic medium with an isotropic half space on both sides of the slab are presented in a coordinate-independent dyadic notation, as well as the reflection dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented.

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Section: Frustrated Total Internal Reflectionmentioning

confidence: 99%

Stabilization of Evanescent Wave Propagation Operators

Andersson¹,

Sjöberg²,

Kristensson³

2023

PIER B

View full text Add to dashboard Cite

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A delta barrier in a well and the exact time evolution of its eigenstates

Jensen

Riga

Shabaev

et al. 2023

Journal of Applied Physics

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The analytic nature of the transmission coefficient for a δ-function barrier makes it a useful tool to examine a variety of technologically important applications, such as photoemission from semiconductors with an alkali coating, the examination of tunneling times for wave packets incident on a barrier, and for parameterizing tunneling through the narrow barrier of a normal-superconducting point contact. The analytic model of a δ-function barrier inside a confining well is extended to the finite height and width rectangular barrier (a delta-function sequence). Methods to exactly evaluate the eigenstates are given and their dependencies are examined. The time evolution of a superposition of the lowest eigenstates is considered for barriers having comparable Gamow tunneling factors so as to quantify the impact of barrier height and shape on time evolution in a simple and exact system and, therefore, serve as a proxy for tunneling time. Last, density profiles and associated quantum potentials are examined for coupled wells to show changes induced by weaker and wider barriers.

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Tutorial: The equations of electron emission and their evaluation

Jensen

2024

Journal of Applied Physics

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Electron emission and transport through and over potential barriers is an essential process requiring modeling and simulation to meet the design needs and characterization of an exceedingly broad range of technologically important devices and processes. The simulation and description of thermal, field, and photoemission, and the related concerns of space–charge affected electron flow, often make use of specialized formulations developed in the early days of quantum mechanics. Advancements in the utilization of electron sources and particularly the simulation of devices and applications using advanced particle-in-cell and trajectory methods for beam optics codes create a strong need for a pedagogical account of the emission models to ensure correct numerical evaluation of their equations. This Tutorial starts from simple phenomenological accounts and progressively builds to comprehensive models emphasizing straightforward and often rapid calculation. It recommends formulations to supplant the canonical Richardson–Laue–Dushman (thermal), Fowler–Nordheim (field), Fowler–DuBridge (photo), and Baroody (secondary) equations and provides a useful formulation of space–charge affected flow commonly described by the Child–Langmuir relation that takes into account cathode dependence on surface field.

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Electromagnetic analogs of quantum mechanical tunneling

Cited by 3 publications

References 48 publications

Stabilization of Evanescent Wave Propagation Operators

Stabilization of Evanescent Wave Propagation Operators

A delta barrier in a well and the exact time evolution of its eigenstates

Tutorial: The equations of electron emission and their evaluation

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