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We develop the theory of a special type of scattering state in which a set of asymptotic channels are chosen as inputs and the complementary set as outputs, and there is zero reflection back into the input channels. In general an infinite…

Optics · Physics 2020-12-09 William R. Sweeney , Chia Wei Hsu , A. Douglas Stone

The experimental evidence of purely reactive loads impedance matching is here provided by exploiting the special scattering response under complex excitations. The study starts with a theoretical analysis of the reflection properties of an…

Signal Processing · Electrical Eng. & Systems 2025-02-06 Angelica V. Marini , Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

We demonstrate experimentally that reflectionless scattering modes (RSMs), a generalized version of coherent perfect absorption, can be functionalized to perform reflectionless programmable signal routing. We achieve versatile…

Applied Physics · Physics 2023-01-31 Jérôme Sol , Ali Alhulaymi , A. Douglas Stone , Philipp del Hougne

Highly directional radiation from photonic structures is important for many applications, including high power photonic crystal surface emitting lasers, grating couplers, and light detection and ranging devices. However, previous…

Transformation optics offers an unconventional approach to the control of electromagnetic fields. A transformation optical structure is designed by first applying a form-invariant coordinate transform to Maxwell's equations, in which part…

This paper expands on the previously described reflectionless filters - that is, filters having, in principle, identically-zero reflection coefficient at all frequencies - by introducing a wide variety of new reflectionless structures that…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Matthew A. Morgan , Tod A. Boyd

We investigate the impact of asymmetric perturbations on the perfect transmission resonances (PTRs) of one-dimensional finite periodic systems. With no perturbations, the scattering region consists of $N$ identical cells, and the…

Unidirectional reflectionless propagation (or transmission) is an interesting wave phenomenon observed in many $\mathcal{PT}$-symmetric optical structures. Theoretical studies on unidirectional reflectionless transmission often use simple…

Optics · Physics 2019-11-13 Lijun Yuan , Ya Yan Lu

Single-ended circuit topologies, and a theorem for the development thereof, are presented with which one may realize constant-resistance (or reflectionless) filters, having ideally zero reflection coefficient at all frequencies and from all…

Instrumentation and Methods for Astrophysics · Physics 2019-04-09 Augusto Guilabert , Matthew Morgan , Tod Boyd

We study the backward scatterings of plane waves by reciprocal scatterers and reveal that $n$-fold ($n\geq3$) rotation symmetry is sufficient to secure invariant backscattering for arbitrarily-polarized incident plane waves. It is further…

Optics · Physics 2021-01-27 Weijin Chen , Qingdong Yang , Yuntian Chen , Wei Liu

Modifications of the authors' previously-published, generalized, lumped-element, reflectionless filter topologies are presented which remove the original constraints on the relative values of its prototype parameters. Thus, any transfer…

Instrumentation and Methods for Astrophysics · Physics 2018-07-03 Matthew A. Morgan , Wavley M. Groves , Tod A. Boyd

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

Mathematical Physics · Physics 2011-11-01 Stephen P. Shipman , Hairui Tu

The use of the generalized Snell's law opens wide possibilities for the manipulation of transmitted and reflected wavefronts. However, known structures designed to shape reflection wave fronts suffer from significant parasitic reflections…

Optics · Physics 2017-04-14 Ana Díaz-Rubio , Viktar Asadchy , Amr Elsakka and , Sergei Tretyakov

We discuss the radiation problem of total reflection for a time-harmonic generalized Maxwell system in a non-smooth exterior domain with non-smooth inhomogeneous, anisotropic coefficients converging near infinity with a certain rate towards…

Analysis of PDEs · Mathematics 2011-05-23 Dirk Pauly

Non-uniform metasurfaces (electrically thin composite layers) can be used for shaping refracted and reflected electromagnetic waves. However, known design approaches based on the generalized refraction and reflection laws do not allow…

Approximate expressions for X-ray resonant and M\"ossbauer reflectivity in the total external reflection region are developed for the limiting cases of a semiinfinite mirror with a small resonant addition to the total susceptibility and for…

Mesoscale and Nanoscale Physics · Physics 2022-03-25 Marina Andreeva , Roman Baulin

We consider the reflection-transmission problem in a waveguide with obstacle. At certain frequencies, for some incident waves, intensity is perfectly transmitted and the reflected field decays exponentially at infinity. In this work, we…

Numerical Analysis · Mathematics 2018-01-29 Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Vincent Pagneux

For lossless periodic structures with a proper symmetry, the transmission and reflection spectra often have peaks and dips that are truly $100\%$ and $0\%$, respectively. The full peaks and zero dips typically appear near resonant…

Optics · Physics 2022-07-20 Lijun Yuan , Mingyang Zhang , Ya Yan Lu

We investigate the spontaneous emission of a two-level system, e.g. an atom or atomlike object, coupled to a single-end, i.e., semi-infinite, one-dimensional photonic waveguide such that one end behaves as a perfect mirror while light can…

Quantum Physics · Physics 2013-01-23 T. Tufarelli , F. Ciccarello , M. S. Kim

Unidirectional reflectionlessness is investigated in a waveguide quantum electrodynamics system that consists of a cavity and a $\Lambda$-type three-level quantum dot coupled to a one-dimensional plasmonic waveguide. Analytical expressions…

Quantum Physics · Physics 2022-07-13 De-Xiu Qiu , Fude Li , K. Xue , X. X. Yi
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