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The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful in various fields of applied mathematics. To be more…

Analysis of PDEs · Mathematics 2025-11-13 Lucas Chesnel

We study the light transmission in two-dimensional photonic crystal waveguides with embedded nonlinear defects. First, we derive the effective discrete equations with long-range interaction for describing the waveguide modes, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

We consider the process of light scattering by optical solitons in a planar waveguide with homogeneous and inhomogeneous refractive index core. We observe resonant reflection (Fano resonances) as well as resonant transmission of light by…

Pattern Formation and Solitons · Physics 2007-05-23 S. Flach , V. Fleurov , A. V. Gorbach , A. E. Miroshnichenko

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

We introduce a new fundamental property of waveguides induced by the forces of the guided light, namely, the ability to self align or be in instability. A nanoscale waveguide broken by an offset and a gap may tend to self align to form a…

Inverse source problems are central to many applications in acoustics, geophysics, non-destructive testing, and more. Traditional imaging methods suffer from the resolution limit, preventing distinction of sources separated by less than the…

Machine Learning · Computer Science 2022-08-11 Adar Kahana , Symeon Papadimitropoulos , Eli Turkel , Dmitry Batenkov

The spontaneous decay of a V-type three-level atom placed in a negative-refractive-index waveguide is analyzed. We find that in thin waveguides, highly efficient surface guided modes are supported, which do not occur in positive index…

Quantum Physics · Physics 2015-05-13 G. X. Li , J. Evers , C. H. Keitel

Light transport in periodic waveguides coupled to a two-level atom is investigated. By using optical Bloch equations and a photonic modal formalism, we derive semi-analytical expressions for the scattering matrix of one atom trapped in a…

Optics · Physics 2015-08-12 Xiaorun Zang , Philippe Lalanne

We theoretically demonstrate dynamically selective bidirectional emission and absorption of a single itinerant microwave photon in a waveguide. The proposed device is an artificial molecule composed of two qubits coupled to a waveguide a…

Quantum Physics · Physics 2020-11-30 Nicolas Gheeraert , Shingo Kono , Yasunobu Nakamura

An essential part of nondestructive testing and experimental modeling of waveguides is the decomposition of propagating wave patterns. The traveling wave ratio is a measure of partial reflections assisting in quantifying the pureness of a…

Applied Physics · Physics 2021-01-06 Yoav Vered , Izhak Bucher

We suggest the numerical approach to detect eigenfrequencies of trapped modes in waveguides or guided waves in diffraction gratings. At the same time, the approach works perfectly for computation of systems with finitely many scattering…

Quantum Physics · Physics 2007-05-23 Valery E. Grikurov

An analogue of the geometrical optics for description of the modal structure of a wave field in a range-dependent waveguide is considered. In the scope of this approach the mode amplitude is expressed through solutions of the ray equations.…

Atmospheric and Oceanic Physics · Physics 2009-11-10 A. L. Virovlyansky , A. Yu. Kazarova , L. Ya. Lyubavin

Traveling wave theory is deployed today to improve the monitoring of transmission lines in electrical power grids. Most traveling wave methods require prior knowledge of the wave propagation of the transmission line, which is a major source…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Marko Hudomalj , Andrej Trost , Andrej Čampa

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

Analysis of PDEs · Mathematics 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

Optofluidic sensors based on highly dispersive two-dimensional photonic crystal waveguides are theoretically studied. Results show that these structures are strongly sensitive to the refractive index of the infiltrated liquid (nl), which is…

Optics · Physics 2011-11-10 Sanshui Xiao , Niels Asger Mortensen

An analytical method for the visualization and prediction of trapped-mode resonances based on the dimensions of a dispersive microwave network is described. The method as explained is intuitive, easy to implement, and has proven itself to…

Instrumentation and Methods for Astrophysics · Physics 2012-12-14 Matthew A. Morgan , Shing-Kuo Pan

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

One-dimensional optical waveguiding is revisited using the electromagnetic deduction of Fresnel formulas relating the incident, reflected, and transmitted waves on the abrupt interface between two different optical media. Throughout the…

General properties of linear propagation of discretized light in homogeneous and curved waveguide arrays are comprehensively investigated and compared to those of paraxial diffraction in continuous media. In particular, general laws…

Optics · Physics 2015-05-14 S. Longhi

We investigate single photon generation from individual self-assembled InGaAs quantum dots coupled to the guided optical mode of a GaAs photonic crystal waveguide. By performing confocal microscopy measurements on single dots positioned…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 A. Laucht , S. Pütz , T. Günthner , N. Hauke , R. Saive , S. Frédérick , M. Bichler , M. -C. Amann , A. W. Holleitner , M. Kaniber , J. J. Finley
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