dorsal/arxiv
View SchemaAnalysis of Optical Pulse Propagation with ABCD Matrices
| Authors | Shayan Mookherjea, Amnon Yariv |
|---|---|
| Categories | |
| ArXiv ID | physics/0103011 |
| URL | https://arxiv.org/abs/physics/0103011 |
| DOI | 10.1103/PhysRevE.64.016611 |
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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"abstract": "We review and extend the analogies between Gaussian pulse propagation and\nGaussian beam diffraction. In addition to the well-known parallels between\npulse dispersion in optical fiber and CW beam diffraction in free space, we\nreview temporal lenses as a way to describe nonlinearities in the propagation\nequations, and then introduce further concepts that permit the description of\npulse evolution in more complicated systems. These include the temporal\nequivalent of a spherical dielectric interface, which is used by way of example\nto derive design parameters used in a recent dispersion-mapped soliton\ntransmission experiment. Our formalism offers a quick, concise and powerful\napproach to analyzing a variety of linear and nonlinear pulse propagation\nphenomena in optical fibers.",
"arxiv_id": "physics/0103011",
"authors": [
"Shayan Mookherjea",
"Amnon Yariv"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevE.64.016611",
"title": "Analysis of Optical Pulse Propagation with ABCD Matrices",
"url": "https://arxiv.org/abs/physics/0103011"
},
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