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An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

A plethora of next-generation all-optical devices based on exciton-polaritons have been proposed in latest years, including prototypes of transistors, switches, analogue quantum simulators and others. However, for such systems consisting of…

The widely established techniques for the generation of ultrashort optical pulses rely on passive mode-locking of lasers, with the output pulse duration and emission spectrum determined by the intrinsic lifetime of laser transition in the…

Optics · Physics 2024-10-08 A. D. Sanchez , S. Chaitanya Kumar , M. Ebrahim-Zadeh

Diffraction calculations, such as the angular spectrum method, and Fresnel diffractions, are used for calculating scalar light propagation. The calculations are used in wide-ranging optics fields: for example, computer generated holograms…

Femtosecond optical parametric oscillators (OPOs) are widely used in ultrafast nonlinear frequency conversion and quantum information. However, conventional OPOs based on quasi-phase-matching (QPM) crystals have many parasitic…

Optics · Physics 2024-04-17 Zihua Zheng , Ziwen Tang , Zhiyi Wei , Jinghua Sun

Carrier frequency offset estimation (CFOE) is a critical stage in modern coherent optical communication systems. Although conventional all-digital techniques perform reliably in typical fiber-optic communication links, CFOE often becomes a…

Signal Processing · Electrical Eng. & Systems 2026-03-31 I. P. Vieira , G. V. Serra , R. A. Colares , D. A. A. Mello

Quantum algorithms offer an exponential advantage with respect to the number of dependent variables for solving certain nonlinear ordinary differential equations (ODEs). These algorithms typically begin by transforming the original…

Quantum Physics · Physics 2025-12-09 Judd Katz , Gopikrishnan Muraleedharan , Abhijeet Alase

Accurate phase-locked 3:1 division of an optical frequency was achieved, by using a continuous-wave (cw) doubly resonant optical parametric oscillator. A fractional frequency stability of 2*10^(-17) of the division process has been achieved…

Optics · Physics 2016-11-15 A. Douillet , J. -J. Zondy , G. Santarelli , A. Makdissi , A. Clairon

End-to-end optimization, which simultaneously optimizes optics and algorithms, has emerged as a powerful data-driven method for computational imaging system design. This method achieves joint optimization through backpropagation by…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Chi-Jui Ho , Yash Belhe , Steve Rotenberg , Ravi Ramamoorthi , Tzu-Mao Li , Nicholas Antipa

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

We outline a novel numerical method, called Ultrafast Ultrafast (UF$^2$), for calculating the $n^\text{th}$-order wavepackets required for calculating n-wave mixing signals. The method is simple to implement, and we demonstrate that it is…

Chemical Physics · Physics 2019-06-26 Peter A. Rose , Jacob J. Krich

As artificial intelligence becomes increasingly prevalent, the demand for faster and more energy-efficient computing approaches grows. While optical computing offers intrinsic advantages in bandwidth and power consumption, existing…

Computational optical imaging (COI) systems leverage optical coding elements (CE) in their setups to encode a high-dimensional scene in a single or multiple snapshots and decode it by using computational algorithms. The performance of COI…

We present a parallel version of the well-known Split-Step Fourier method (SSF) for solving the Nonlinear Schr\"odinger equation, a mathematical model describing wave packet propagation in fiber optic lines. The algorithm is implemented…

Computational Physics · Physics 2007-05-23 S. M. Zoldi , V. Ruban , A. Zenchuk , S. Burtsev

Optical phase conjugation (OPC) is a nonlinear technique used for counteracting wavefront distortions, with various applications ranging from imaging to beam focusing. Here, we present the design of a diffractive wavefront processor to…

Optics · Physics 2024-06-13 Che-Yung Shen , Jingxi Li , Tianyi Gan , Mona Jarrahi , Aydogan Ozcan

A fast explicit operator splitting (FEOS) method for the molecular beam epitaxy model has been presented in [Cheng, et al., Fast and stable explicit operator splitting methods for phase-field models, J. Comput. Phys., submitted]. The…

Numerical Analysis · Mathematics 2015-11-30 Xiao Li , Zhonghua Qiao , Hui Zhang

Optical parametric oscillations (OPOs) - a non-linear process involving the coherent coupling of an optically excited two particle pump state to a signal and an idler states with different energies - is a relevant mechanism for optical…

Other Condensed Matter · Physics 2020-03-04 Alexander S. Kuznetsov , Galbadrakh Dagvadorj , Klaus Biermann , Marzena Szymanska , Paulo V. Santos

We study the problem of estimating the coefficients in linear ordinary differential equations (ODE's) with a diverging number of variables when the solutions are observed with noise. The solution trajectories are first smoothed with local…

Statistics Theory · Mathematics 2008-04-29 Heng Lian

Numerical integration of stochastic differential equations is commonly used in many branches of science. In this paper we present how to accelerate this kind of numerical calculations with popular NVIDIA Graphics Processing Units using the…

Computational Physics · Physics 2011-05-31 M. Januszewski , M. Kostur

Simulations of large-scale dynamical systems require expensive computations. Low-dimensional parametrization of high-dimensional states such as Proper Orthogonal Decomposition (POD) can be a solution to lessen the burdens by providing a…

Dynamical Systems · Mathematics 2024-10-30 Yongho Kim , Jan Heiland
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