Emitter and absorber assembly for multiple self-dual operation and directional transparency

Kalozoumis, P. A.; Morfonios, Christian V.; Kodaxis, George P.; Diakonos, F. K.; Schmelcher, Peter

doi:10.1063/1.4978931

Cited by 23 publications

(23 citation statements)

References 35 publications

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“…Moreover, based on CPA and laser modes in purely imaginary metamaterials (PIMs) [31], perfectly bidirectional negative refraction can be realized by utilizing such a pair of PIM slabs, which is a breakthrough to the unidirectional limit in PT symmetric systems. Therefore, these works [28][29][30][31] also provide alternative evidence that PT-symmetry is not necessary condition for achieving the coexistence of CPA and laser modes, which has been indicated in [32,33].…”

Section: Introductionmentioning

confidence: 99%

Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials

Chen

et al. 2018

New J. Phys.

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In this work, we theoretically find that coherent perfect absorption (CPA) and laser modes can be realized in a two-dimensional cylindrical structure composed of conjugate metamaterials (CMs). The required phase factors of CMs for achieving CPA and laser modes are determined by the geometric size of the CM cylinder, which is a unique feature compared with other non-Hermitian optical systems. Based on this property, we also demonstrate that CPA and laser modes can exist simultaneously in a CM cylinder with an extremely large size, where the excitations of CPA and laser modes depend on the angular momentum of coherent incident light. Therefore, compared with the well known parity time symmetry, our work opens up a brand-new path to obtaining CPA and laser modes, and is a significant advance in non-Hermitian optical systems.

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Section: Introductionmentioning

confidence: 99%

Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials

Chen

et al. 2018

New J. Phys.

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“…This involves the computation of the M 22 (k) entry of the transfer matrix and finding the values of the physical parameters of the system for which M 22 (k) has a real and positive zero k ⋆ . This method has the advantage of being applicable to lasers with a variety of geometries and special properties [60,61,62,63,64,65,66,67,68,69,70,71,73,72].…”

Section: Spectral Singularities and Lasingmentioning

confidence: 99%

Transfermatrix in scattering theory: a survey of basic properties and recent developments

Mostafazadeh¹

2020

Turk J Phys

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We give a pedagogical introduction to time-independent scattering theory in one dimension focusing on the basic properties and recent applications of transfer matrices. In particular, we begin surveying some basic notions of potential scattering such as transfer matrix and its analyticity, multi-delta-function and locally periodic potentials, Jost solutions, spectral singularities and their time-reversal, and unidirectional reflectionlessness and invisibility. We then offer a simple derivation of the Lippmann-Schwinger equation and Born series, and discuss the Born approximation. Next, we outline a recently developed dynamical formulation of timeindependent scattering theory in one dimension. This formulation relates the transfer matrix and therefore the solution of the scattering problem for a given potential to the solution of the time-dependent Schrödinger equation for an effective non-unitary two-level quantum system. We provide a self-contained treatment of this formulation and some of its most important applications. Specifically, we use it to devise a powerful alternative to the Born series and Born approximation, derive dynamical equations for the reflection and transmission amplitudes, discuss their application in constructing exact tunable unidirectionally invisible potentials, and use them to provide an exact solution for single-mode inverse scattering problems. The latter, which has important applications in designing optical devices with a variety of functionalities, amounts to providing an explicit construction for a finite-range complex potential whose reflection and transmission amplitudes take arbitrary prescribed values at any given wavenumber.

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“…Our aim is to solve the scattering problem for (25) using the the information about the transfer matrix of its trivial extension to R, namely…”

Section: Scattering In Half-line From the Full Linementioning

confidence: 99%

“…As shown in Ref. [61], we can obtain a nonlinear transfer matrix M(A − , B − ) associated with (88) by identifying the coupling constant z of its linear analog, namely (25), with f (|e 2icK A − + B − |). In other words, M ij (A − , B − ) are given by (32), if we setz :…”

Section: Extension To Short-range Nonlinear Scatterersmentioning

confidence: 99%

Solving scattering problems in the half-line using methods developed for scattering in the full line

Mostafazadeh

2019

Annals of Physics

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We reduce the solution of the scattering problem defined on the half-line [0, ∞) by a real or complex potential v(x) and a general homogenous boundary condition at x = 0 to that of the extension of v(x) to the full line that vanishes for x < 0. We find an explicit expression for the reflection amplitude of the former problem in terms of the reflection and transmission amplitudes of the latter. We obtain a set of conditions on these amplitudes under which the potential in the half-line develops bound states, spectral singularities, and time-reversed spectral singularities where the potential acts as a perfect absorber. We examine the application of these results in the study of the scattering properties of a δ-function potential and a finite barrier potential defined in [0, ∞), discuss optical systems modeled by these potentials, and explore the configurations in which these systems act as a laser or perfect absorber. In particular, we derive an explicit formula for the laser threshold condition for a slab laser with a single mirror and establish the surprising fact that a nearly perfect mirror gives rise to a lower threshold gain than a perfect mirror. We also offer a nonlinear extension of our approach which allows for utilizing a recently developed nonlinear transfer matrix method in the full line to deal with finite-range nonlinear scattering interactions defined in the half-1 By being a scattering potential we mean that every solution of the Schrödinger equation (1) tends to a linear combination of plane waves as x → ∞. This is the case for potentials v(x) satisfying the Faddeev condition ∞ 0 (1 + x)|v(x)|dx < ∞, [4].

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Emitter and absorber assembly for multiple self-dual operation and directional transparency

Cited by 23 publications

References 35 publications

Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials

Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials

Transfermatrix in scattering theory: a survey of basic properties and recent developments

Solving scattering problems in the half-line using methods developed for scattering in the full line

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