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ABCD matrices for dispersive pulse propagation

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3 Author(s)
Dijaili, S.M. ; Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA ; Dienes, Andrew ; Smith, J.S.

The use of the ABCD matrices for the calculation of pulse propagation in second-order dispersive media is developed rigorously. Their usefulness is demonstrated by obtaining the results for the propagation of a Gaussian pulse with an arbitrary linear chirp. By analogy with ray optics, the concept of a time ray is introduced to give further insight. The analogy with paraxial optics is carried further by extending the matrix method to a complete Hermite-Gaussian basis and thus to arbitrarily shaped and nonlinearly chirped pulses. Some practical applications of the matrix method are discussed

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Quantum Electronics, IEEE Journal of  (Volume:26 ,  Issue: 6 )