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10 May 1996 Tranformation of optical video-pulse shape and spectrum while absorbing and amplifying dispersive media
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Proceedings Volume 2797, Nonlinear Spectroscopy and Ultrafast Phenomena; (1996)
Event: International Conference on Coherent and Nonlinear Optics, 1995, St. Petersburg, Russian Federation
Laser pulses with duration of approximately one optical period have become the subject of theoretical and experimental research in recent years. The application of the traditional method of slowly varying amplitudes , which has been used for picosecond pulses, becomes impossible in this case, when the pulse duration is several times greater than the period of the carrier wave. In the case of limited short pulses, the concept of the carrier frequency loses meaning. The other approach is called FD-TD (finite difference time-domain) 2-4 , as far as the reduction of the duration of the femtosecond pulses demands a reduction of two-dimensional grid by one step on t and z, that leads to lowering of this method's effectiveness. In the present work is used the method connected with Fourier Transform of field values which allows us to introduce the electric inductivity. Although this method is connected with the introduction of two extra operations (direct and reverse Fourier Transform) for limited short pulses, it might be more efficient in comparison with the FD-TD method, since for homogeneous media it leads to simple equations for Fourier amplitudes. In addition, the application of the method based on Fourier Transform allows one to analyse the processes associated with pulse propagation, both in time and in spectral presentation.
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Victor A. Aleshkevich, D. V. Volvach, Victor A. Vysloukh, and V. K. Peterson "Tranformation of optical video-pulse shape and spectrum while absorbing and amplifying dispersive media", Proc. SPIE 2797, Nonlinear Spectroscopy and Ultrafast Phenomena, (10 May 1996);

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