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<e1>ABCD</e1> matrices for dispersive pulse propagation Export

Quantum Electronics, IEEE Journal of In Quantum Electronics, IEEE Journal of, Vol. 26, No. 6. (1990), pp. 1158-1164.

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abcd dispersion matrix propagation pulse ray

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The use of the <e1>ABCD</e1> 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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