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Full-Text Articles in Applied Mathematics
Spectral Features Of The Stimulated Raman Backscattering Of Modulated Laser Pulses In A Plasma, Nikolai E. Andreev, Serguei Y. Kalmykov
Spectral Features Of The Stimulated Raman Backscattering Of Modulated Laser Pulses In A Plasma, Nikolai E. Andreev, Serguei Y. Kalmykov
Serge Youri Kalmykov
The characteristic features of the stimulated Raman backscattering of short modulated (multi-frequency) laser pulses in an underdense plasma are investigated. A laser pulse consisting of a given pair of spectral components with the frequency difference close to the double plasma frequency is studied in the weak mode coupling approximation. The scattering of the component with the higher frequency is shown to be a five-wave resonant process, and the conditions under which this process is totally suppressed are found. The scattering of the component with the lower frequency is an ordinary three-wave decay process without any suppression. When the difference between …
Short Time Fourier Transform, Integral Wavelet Transform, And Wavelet Functions Associated With Splines, Tian-Xiao He
Short Time Fourier Transform, Integral Wavelet Transform, And Wavelet Functions Associated With Splines, Tian-Xiao He
Tian-Xiao He
In this article, we discuss short time Fourier transforms, integral wavelet transforms, and wavelet series expansions associated with spline functions in shift-invariant spaces of B-splines. A recurrence relation formula and the corresponding algorithm about the B-wavelets are also given.