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Analysis of Optical Pulse Propagation with ABCD Matrices

Shayan Mookherjea·Amnon Yariv
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Abstract

We review and extend the analogies between Gaussian pulse propagation and Gaussian beam diffraction. In addition to the well-known parallels between pulse dispersion in optical fiber and CW beam diffraction in free space, we review temporal lenses as a way to describe nonlinearities in the propagation equations, and then introduce further concepts that permit the description of pulse evolution in more complicated systems. These include the temporal equivalent of a spherical dielectric interface, which is used by way of example to derive design parameters used in a recent dispersion-mapped soliton transmission experiment. Our formalism offers a quick, concise and powerful approach to analyzing a variety of linear and nonlinear pulse propagation phenomena in optical fibers.

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Shayan Mookherjea, Amnon Yariv. 2001-03-04. Analysis of Optical Pulse Propagation with ABCD Matrices. https://doi.org/10.1103/physreve.64.016611

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