The Experts below are selected from a list of 306 Experts worldwide ranked by ideXlab platform

Yuan-xiang Zhang - One of the best experts on this subject based on the ideXlab platform.

Hao Cheng - One of the best experts on this subject based on the ideXlab platform.

Cihan Bayindir - One of the best experts on this subject based on the ideXlab platform.

  • Compressive Split-Step Fourier Method
    arXiv: Computational Physics, 2015
    Co-Authors: Cihan Bayindir
    Abstract:

    In this paper an approach for decreasing the computational effort required for the split-step Fourier Method (SSFM) is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used as a very efficient tool for the split-step spectral simulations of various phenomena which can be modeled by using differential equations. The proposed Method depends on the idea of using a smaller number of spectral components compared to the classical split-step Fourier Method with a high number of components. After performing the time integration with a smaller number of spectral components and using the compressive sampling technique with l1 minimization, it is shown that the sparse signal can be reconstructed with a significantly better efficiency compared to the classical split-step Fourier Method. Proposed Method can be named as compressive split-step Fourier Method (CSSFM). For testing of the proposed Method the Nonlinear Schrodinger Equation and its one-soliton and two-soliton solutions are considered.

Alexander G. Kozlov - One of the best experts on this subject based on the ideXlab platform.

  • Analytical modelling of steady-state temperature distribution in thermal microsensors using Fourier Method: Part 1. Theory
    Sensors and Actuators A-physical, 2002
    Co-Authors: Alexander G. Kozlov
    Abstract:

    An analytical Method is presented that allows one to determine the steady-state temperature distribution in thermal microsensors based on thermally isolated structures with arbitrary rectangular edges. The structure of thermal microsensors is treated as a 2D structure with a number of rectangular regions which are classified into some types depending on the boundary conditions at their edges. For each type of the regions, the equivalent parameters and heat exchange conditions are determined and the expression for temperature distribution in the region is obtained by means of Fourier Method. Heat flux densities between the regions are represented as sums of orthogonal functions with weighting coefficients. The expressions for temperature distribution in the regions contain unknown weighting coefficients whose values are determined from adjoint boundary conditions between all the adjacent regions. The system of equations for the weighting coefficients obtained with the help of the adjoint boundary conditions is that of linear equations. As an example, a system of linear equations for the weighting coefficients of thermal microsensors based on the membrane thermally isolated structure is presented.

C R Menyuk - One of the best experts on this subject based on the ideXlab platform.

  • optimization of the split step Fourier Method in modeling optical fiber communications systems
    Journal of Lightwave Technology, 2003
    Co-Authors: Oleg V Sinkin, R Holzlohner, J Zweck, C R Menyuk
    Abstract:

    We studied the efficiency of different implementations of the split-step Fourier Method for solving the nonlinear Schro/spl uml/dinger equation that employ different step-size selection criteria. We compared the performance of the different implementations for a variety of pulse formats and systems, including higher order solitons, collisions of soliton pulses, a single-channel periodically stationary dispersion-managed soliton system, and chirped return to zero systems with single and multiple channels. We introduce a globally third-order accurate split-step scheme, in which a bound on the local error is used to select the step size. In many cases, this Method is the most efficient when compared with commonly used step-size selection criteria, and it is robust for a wide range of systems providing a system-independent rule for choosing the step sizes. We find that a step-size selection Method based on limiting the nonlinear phase rotation of each step is not efficient for many optical-fiber transmission systems, although it works well for solitons. We also tested a Method that uses a logarithmic step-size distribution to bound the amount of spurious four-wave mixing. This Method is as efficient as other second-order schemes in the single-channel dispersion-managed soliton system, while it is not efficient in other cases including multichannel simulations. We find that in most cases, the simple approach in which the step size is held constant is the least efficient of all the Methods. Finally, we implemented a Method in which the step size is inversely proportional to the largest group velocity difference between channels. This scheme performs best in multichannel optical communications systems for the values of accuracy typically required in most transmission simulations.