Title :
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
fDate :
6/1/1990 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
