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Analysis of optical pulse propagation with two-by-two (ABCD) matrices

Mookherjea, Shayan and Yariv, Amnon (2001) Analysis of optical pulse propagation with two-by-two (ABCD) matrices. Physical Review E, 64 (1). Art. No. 016611. ISSN 1063-651X. doi:10.1103/physreve.64.016611.

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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-managed soliton transmission experiment. This 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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Additional Information:© 2001 The American Physical Society. Received 3 January 2001; published 25 June 2001. This work was supported by the Office of Naval Research and the Air Force Office of Scientific Research.
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:1
Classification Code:PACS number(s): 42.65.Tg, 42.25.Bs, 42.81.Dp
Record Number:CaltechAUTHORS:20201102-104303918
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106385
Deposited By: Tony Diaz
Deposited On:04 Nov 2020 18:48
Last Modified:16 Nov 2021 18:53

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