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In this paper, we investigate two transmission eigenvalue problems associated with the scattering of a media with a coated boundary. In recent years, there has been a lot of interest in studying these eigenvalue problems. It can be shown…

Analysis of PDEs · Mathematics 2019-08-19 Isaac Harris

We present a numerical study of dispersion manipulation and formation of matter-wave gap solitons in a Bose-Einstein condensate trapped in an optical superlattice. We demonstrate a method for controlled generation of matter-wave gap…

Other Condensed Matter · Physics 2009-11-10 Pearl J. Y. Louis , Elena A. Ostrovskaya , Yuri S. Kivshar

We study optical pulse propagation through a hollow-core fiber filled with a radially inhomogeneous cloud of cold atoms. A co-propagating control field establishes electromagnetically induced transparency. In analogy to a graded index…

Atomic Physics · Physics 2019-07-31 Roman Sulzbach , Thorsten Peters , Reinhold Walser

We consider exciton polaritons in a semiconductor microcavity with a saturable absorber in the growth direction of the heterostructure. This feature promotes additional nonlinear losses of the system with the emergence of bistability of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 D. V. Karpov , I. G. Savenko , H. Flayac , N. N. Rosanov

Over the past 15 years, several groups have engineered media that are both strongly dispersive and roughly transparent for some finite bandwidth. Relationships and intuitive models that are satisfactory when it is reasonable to neglect…

Optics · Physics 2010-06-01 Douglas H. Bradshaw

We present designs for variably polarizing beam splitters. These are beam splitters allowing the complete and independent control of the horizontal and vertical polarization splitting ratios. They have quantum optics and quantum information…

Instrumentation and Detectors · Physics 2019-12-24 Jefferson Flórez , Nathan J. Carlson , Codey H. Nacke , Lambert Giner , Jeff S. Lundeen

Mode-locked lasers play the role of the ideal testbeds for studying self-coherent structures, dissipative solitons, with stable spatiotemporal profiles supported by the balance between dispersion and nonlinearity. However, under some…

Pattern Formation and Solitons · Physics 2022-11-18 Zhiwei Huang , Sergey Sergeyev , Qing Wang , Hani Kbashi , Dmitrii Stoliarov , Qianqian Huang , Yuze Dai , Zhijun Yan , Chengbo Mou

The capacity of information delivered by single photons is boosted by encoding high-dimensional quantum dits in their transverse shape. Transporting such high-dimensional quantum dits in optical networks may be accomplished using multimode…

This paper is concerned with the inverse electromagnetic scattering problem for anisotropic media. We use the interior resonant modes to develop an inverse scattering scheme for imaging the scatterer. The whole procedure consists of three…

Analysis of PDEs · Mathematics 2022-09-12 Youzi He , Hongjie Li , Hongyu Liu , Xianchao Wang

Light propagation through multimode fibers suffers from spatial distortions that lead to a scrambled intensity profile. In previous work, the correction of such distortions using various wavefront control methods has been demonstrated in…

Coherent dispersive wave emission, as an important phenomenon of soliton dynamics, manifests itself in multiple platforms of nonlinear optics from fibre waveguides to integrated photonics. Limited by its resonance nature, efficient…

Extensions of the split-step Fourier method (SSFM) for Schr\"odinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The…

Numerical Analysis · Mathematics 2015-04-07 Ralf Deiterding , Stephen W. Poole

We propose a quantum algorithm for simulating dissipative waves in inhomogeneous linear media as a boundary-value problem. Using the so-called quantum singular value transformation (QSVT), we construct a quantum circuit that models the…

Quantum Physics · Physics 2023-05-08 I. Novikau , I. Y. Dodin , E. A. Startsev

Control of dispersion in fibre optical waveguides is of critical importance to optical fibre communications systems and more recently for continuum generation from the ultraviolet to the mid-infrared. The wavelength at which the group…

Seeing macroscopic quantum states directly remains an elusive goal. Particles with boson symmetry can condense into such quantum fluids producing rich physical phenomena as well as proven potential for interferometric devices [1-10].…

Mesoscale and Nanoscale Physics · Physics 2011-12-01 G. Tosi , G. Christmann , N. G. Berloff , P. Tsotsis , T. Gao , Z. Hatzopoulos , P. G. Savvidis , J. J. Baumberg

Optical tweezers use laser light to trap and move microscopic particles in space. Here we demonstrate a similar control over ultrashort light pulses, but in time. Our experiment involves temporal cavity solitons that are stored in a passive…

Optics · Physics 2015-08-05 Jae K. Jang , Miro Erkintalo , Stephane Coen , Stuart G. Murdoch

We address the issue of dephasing effects in flying polarization qubits propagating through optical fiber by using the method of dynamical decoupling. The control pulses are implemented with half waveplates suitably placed along the…

Quantum Physics · Physics 2013-11-18 Bhaskar Roy Bardhan , Katherine L. Brown , Jonathan P. Dowling

The transmission eigenvalue problem is a type of non-elliptic and non-selfadjoint spectral problem that arises in the wave scattering theory when invisibility/transparency occurs. The transmission eigenfunctions are the interior resonant…

Analysis of PDEs · Mathematics 2023-04-24 Yat Tin Chow , Youjun Deng , Hongyu Liu , Mahesh Sunkula

Soliton molecules (SMs) are fundamentally important modes in nonlinear optical systems. It is a challenge to experimentally produce SMs with a required temporal separation in mode-locked fiber lasers. Here, we propose and realize an…

Optics · Physics 2022-02-09 Shilong Liu , Yudong Cui , Ebrahim Karimi , Boris A. Malomed

We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as experimental platform, we report the…

Optics · Physics 2019-09-04 Adrien Kraych , Dmitry Agafontsev , Stephane Randoux , Pierre Suret
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