A new algorithm for fast simulation of optical spectra generated in a nonlinear media

A new and highly efficient algorithm developed under MATLAB for calculating the optical spectra generated by non-resonant optical parametric fluorescence is presented. This algorithm, which allows quick simulation of the spectra, is shown to be much more rapid than standard ones. The ways to modify the algorithm for other environments are discussed.

Program summary

Title of the program:OPFSpectraFinderCatalogue number: ADTKProgram summary URL:http://cpc.cs.qub.ac.uk/summaries/ADTKProgram obtainable from: CPC Program Library, Queen's University of Belfast, N. IrelandLicensing provisions: Persons requesting the program must sign the standard CPC non-profit use licenseComputers on which the program has been tested: Intel Pentium, SUN HPC3500Operating system under which the program, has been tested: Microsoft Windows 2000, Unix Solaris 7.0Programming language used: MATLAB 6.0Memory required to execute with typical data: 256 M (the total computer memory)No. of processors used: 1No. of bytes in distributed program, including test data, etc.: 935 376No. of lines in distributed program, including test data, etc.: 6667Distribution format: tar gzip fileNature of physical problem: Obtaining the form of optical spectra of light generated in the process of optical parametric fluorescence in a periodically poled quadratically nonlinear mediumMethod of solution: Linearization of the set of nonlinear equations, obtaining the set of equations with constant coefficients, finding the solution as the matrix exponentialRestrictions on the complexity of the problem: not knownTypical running time: 80 seconds for obtaining the data for data set by default in the files submitted on a PC mentioned aboveReferences: The physical discussion is given in V. Beskrovnyy, P. Baldi, Optical parametric fluorescence spectra in periodically poled media, Optics Express 10 (2002) 990