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In this paper, we propose a method for the generation of higher dimensional modal entanglement through type II spontaneous parametric down conversion process using a three waveguide directional coupler in a periodically poled lithium…

Quantum Physics · Physics 2015-03-20 Divya Bharadwaj , K. Thyagarajan , Michal Karpinski , Konrad Banaszek

We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the…

Optics · Physics 2009-11-10 Kihong Kim , Dong-Hun Lee , H. Lim

We propose a scheme to prepare macroscopic quantum superpositions of motion in optomachanical nano- or micromechanical oscillators quadratically coupled to an intracavity field. The nonlinear optomechanical coupling leads to an effective…

Quantum Physics · Physics 2013-03-01 Huatang Tan , F. Bariani , Gaoxiang Li , P. Meystre

In the current quest for efficient and experimentally feasible platforms for implementation of multimode squeezing and entanglement in the continuous variable regime, we underpin and complement our results on the generation of versatile…

Our main focus is to explore different models in noncommutative spaces in higher dimensions. We provide a procedure to relate a three dimensional q-deformed oscillator algebra to the corresponding algebra satisfied by canonical variables…

High Energy Physics - Theory · Physics 2014-10-14 Sanjib Dey

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultrasound directed self-assembly, which allows fabricating…

Analysis of PDEs · Mathematics 2024-09-20 Elena Cherkaev , Fernando Guevara Vasquez , China Mauck

This paper mainly investigates the classic resonant cavity problem with anisotropic and nonconductive media, which is a linear vector Maxwell's eigenvalue problem. The finite element method based on edge element of the lowest-order and…

Numerical Analysis · Mathematics 2020-12-02 Wei Jiang , Jie Liu

Adaptive optics can be used to mitigate the effects of atmospheric turbulence on imaging systems, but the correction is only partial, and deconvolution is often required to improve the resolution. This results in entire optical/digital…

Instrumentation and Methods for Astrophysics · Physics 2026-02-09 Florian Cheyssial , Laurent Mugnier , Cyril Petit

Mode-division multiplexing (MDM) is an emerging large-capacity data communication technology utilizing orthogonal guiding modes as independent data streams. One of the challenges of multimode waveguide routing in MDM systems is decreasing…

Optics · Physics 2019-06-12 S. Hadi Badri , H. Rasooli Saghai , Hadi Soofi

Modeling time-harmonic Maxwell problems in heterogeneous media presents significant mathematical and computational challenges. Due to the inherent non-elliptic structure and non-coercive nature of Maxwell equations, conventional methods…

Numerical Analysis · Mathematics 2026-04-30 Xiang Zhong , Eric T. Chung , Xingguang Jin

Computing the electric eddy currents in non-linear materials, such as superconductors, is \E{not straightforward}. The design of superconducting magnets and power applications needs electromagnetic computer modeling, being in many cases a…

Superconductivity · Physics 2017-06-02 Enric Pardo , Milan Kapolka

Physics of nonlinear waves on variable backgrounds and the relevant mathematical analysis continues to be the challenging aspect of the study. In this work, we consider a (3+1)-dimensional nonlinear model describing the dynamics of {water…

Pattern Formation and Solitons · Physics 2022-03-09 Sudhir Singh , K. Sakkaravarthi , K. Murugesan

Growing diversity and complexity of on-chip photonic applications requires rapid design of components with state-of-the-art operation metrics. Here, we demonstrate a highly flexible and efficient method for designing several classes of…

Optics · Physics 2024-07-16 Mehmet Can Oktay , Emir Salih Magden

An ultracompact bi-sectional adiabatic tapered coupler, which is suitable for an adiabatic mode transformation between a common single mode SOI wire waveguide and a Si/III-V hybrid waveguide, are proposed for Si/III-V heterogeneous…

Optics · Physics 2023-07-19 Qiangsheng Huang , Jianxin Cheng , Liu Liu , Sailing He

We report on the fabrication and characterization of composite multimode waveguide structures that consist of a stack of single-mode waveguides fabricated by ultrafast laser inscription. We explore 2 types of composite structures; those…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Nemanja Jovanovic , Izabela Spaleniak , Simon Gross , Michael Ireland , Jon S. Lawrence , Christopher Miese , Alexander Fuerbach , Michael J. Withford

Integrable systems in low dimensions, constructed through the symmetry reduction method, are studied using phase portrait and variable separation techniques. In particular, invariant quantities and explicit periodic solutions are…

solv-int · Physics 2009-10-31 J. A. Calzada , M. A. del Olmo , M. A. Rodriguez

This paper discusses the practical development of space-time boundary element methods for the wave equation in three spatial dimensions. The employed trial spaces stem from simplex meshes of the lateral boundary of the space-time cylinder.…

Numerical Analysis · Mathematics 2021-08-25 Dominik Pölz , Martin Schanz

The coupling between negative and positive index medium waveguides is investigated theoretically in this paper. A coupled mode theory is developed for such a waveguide system and its validity is verified. Interesting phenomena in the…

Optics · Physics 2009-11-13 Wei Yan , Linfang Shen , Yu Yuan , Tzong Jer Yang

A numerical solver for the elastic wave eigenmodes in acoustic waveguides of inhomogeneous cross-section is presented. Operating under the assumptions of linear, isotropic materials, it utilizes a finite-difference method on a staggered…

Applied Physics · Physics 2017-12-15 Nathan Dostart , Yangyang Liu , Miloš A. Popović

The successful development of future photonic quantum technologies heavily depends on the possibility of realizing robust, reliable and, crucially, scalable nanophotonic devices. In integrated networks, quantum emitters can be deployed as…