ABCD matrices for dispersive pulse propagation

Author

Dijaili, Sol P. ; Dienes, Andrew ; Smith, John Stephen

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA

Volume

26

Issue

6

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

1158

Lastpage

1164

Abstract

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

Keywords

light propagation; matrix algebra; optical dispersion; ABCD matrices; Gaussian pulse; Hermite-Gaussian basis; arbitrary linear chirp; dispersive pulse propagation; matrix method; nonlinearly chirped pulses; paraxial optics; ray optics; second-order dispersive media; time ray; Chirp; Dispersion; Focusing; Helium; Optical diffraction; Optical propagation; Optical pulse shaping; Optical pulses; Partial differential equations; Pulse compression methods;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.108114

Filename

108114