Polarization dependence of the propagation constant of leaky guided modes

Pick, Adi; Moiseyev, Nimrod

doi:10.1103/physreva.97.043854

Cited by 8 publications

(3 citation statements)

References 36 publications

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“…Ref. [44] on a similar analogy between the timeindependent Schrödinger equation and Maxwell equations.…”

Section: Nhqm Perturbation Theory For Elastodynamics: the Model Probl...mentioning

confidence: 99%

Linking Scalar Elastodynamics and Non-Hermitian Quantum Mechanics

Gal¹,

Moiseyev²

2020

Phys. Rev. Applied

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Recent years have seen a fascinating pollination of ideas from quantum theories to elastodynamics-a theory that phenomenologically describes the time-dependent macroscopic response of materials.Here, we open route to transfer additional tools from non-Hermitian quantum mechanics. We begin by identifying the differences and similarities between the one-dimensional elastodynamics equation and the time-independent Schrödinger equation, and finding the condition under which the two are equivalent. Subsequently, we demonstrate the application of the non-Hermitian perturbation theory to determine the response of elastic systems; calculation of leaky modes and energy decay rate in heterogenous solids with open boundaries using a quantum mechanics approach; and construction of degeneracies in the spectrum of these assemblies. The latter result is of technological importance, as it introduces an approach to harness extraordinary wave phenomena associated with non-Hermitian degeneracies for practical devices, by designing them in simple elastic systems. As an example of such application, we demonstrate how an assembly of elastic slabs that is designed with two degenerate shear states according to our scheme, can be used for mass sensing with enhanced sensitivity by exploiting the unique topology near the exceptional point of degeneracy. arXiv:1910.07306v2 [cond-mat.soft]

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“…Ref. [44] on a similar analogy between the timeindependent Schrödinger equation and Maxwell equations.…”

Section: Nhqm Perturbation Theory For Elastodynamics: the Model Probl...mentioning

confidence: 99%

Linking Scalar Elastodynamics and Non-Hermitian Quantum Mechanics

Gal¹,

Moiseyev²

2020

Phys. Rev. Applied

Self Cite

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“…In this section, we focus on some of the exotic behaviors resulting from the introduction of non-Hermiticity and PT symmetry in optical arrangements. It should be noted that NH effects in photonic settings are not limited to systems exhibiting optical absorption and/or amplification [31][32][33][34][35][36][37]. Such phenomena can also arise, for instance, owing to an energy exchange between metastable guided states and leaky modes in optical fibers or whenever a conservative subsystem is open [38][39][40][41].…”

Section: Non-hermitian Photonics and Pt Symmetrymentioning

confidence: 99%

Non-Hermitian and topological photonics: optics at an exceptional point

et al. 2020

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In the past few years, concepts from non-Hermitian (NH) physics, originally developed within the context of quantum field theories, have been successfully deployed over a wide range of physical settings where wave dynamics are known to play a key role. In optics, a special class of NH Hamiltonians – which respects parity-time symmetry – has been intensely pursued along several fronts. What makes this family of systems so intriguing is the prospect of phase transitions and NH singularities that can in turn lead to a plethora of counterintuitive phenomena. Quite recently, these ideas have permeated several other fields of science and technology in a quest to achieve new behaviors and functionalities in nonconservative environments that would have otherwise been impossible in standard Hermitian arrangements. Here, we provide an overview of recent advancements in these emerging fields, with emphasis on photonic NH platforms, exceptional point dynamics, and the very promising interplay between non-Hermiticity and topological physics.

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“…Here we use the photonic potential for TM waves, recently introduced by Pick and Moiseyev [16], to model the form birefringence in inhomogeneous sub-wavelength structures using a standard Schrödinger equation. We first investigate light propagation in GRIN bell-shaped nano-waveguides and their application as ultra-compact polarization rotator [17,18] in integrated optics.…”

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confidence: 99%