ABCD matrices for dispersive pulse propagation

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...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 1990-06, Vol.26 (6), p.1158-1164
Main Authors: Dijaili, S.P., Dienes, A., Smith, J.S.
Format: Article
Language:English
Subjects:
Chirp
Dispersion
Exact sciences and technology
Focusing
Fundamental areas of phenomenology (including applications)
Optical diffraction
Optical propagation
Optical pulse shaping
Optical pulses
Optics
Partial differential equations
Physics
Pulse compression methods
Wave optics
Wave propagation in random media
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Summary: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.< >
ISSN:0018-9197
1558-1713
DOI:10.1109/3.108114