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Title: Spatial and temporal pulse propagation for dispersive paraxial optical systems

Abstract

The formalism for pulse propagation through dispersive paraxial optical systems first presented by Kostenbauder (IEEE J. Quant. Elec. 261148–1157 (1990)) using 4 × 4 ray-pulse matrices is extended to 6 × 6 matrices and includes non-separable spatial-temporal couplings in both transverse dimensions as well as temporal dispersive effects up to a quadratic phase. The eikonal in a modified Huygens integral in the Fresnell approximation is derived and can be used to propagate pulses through complicated dispersive optical systems within the paraxial approximation. Additionally, a simple formula for the propagation of ultrashort pulses having a Gaussian profile both spatially and temporally is presented.

Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1251566
Report Number(s):
SLAC-PUB-16500
Journal ID: ISSN 1094-4087
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Optics Express
Additional Journal Information:
Journal Volume: 24; Journal Issue: 7; Journal ID: ISSN 1094-4087
Publisher:
Optical Society of America (OSA)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 47 OTHER INSTRUMENTATION; ultrafast optics; pulses; geometric optics; propagation methods; matrix methods in paraxial optics

Citation Formats

Marcus, G. Spatial and temporal pulse propagation for dispersive paraxial optical systems. United States: N. p., 2016. Web. doi:10.1364/OE.24.007752.
Marcus, G. Spatial and temporal pulse propagation for dispersive paraxial optical systems. United States. doi:10.1364/OE.24.007752.
Marcus, G. Fri . "Spatial and temporal pulse propagation for dispersive paraxial optical systems". United States. doi:10.1364/OE.24.007752. https://www.osti.gov/servlets/purl/1251566.
@article{osti_1251566,
title = {Spatial and temporal pulse propagation for dispersive paraxial optical systems},
author = {Marcus, G.},
abstractNote = {The formalism for pulse propagation through dispersive paraxial optical systems first presented by Kostenbauder (IEEE J. Quant. Elec. 261148–1157 (1990)) using 4 × 4 ray-pulse matrices is extended to 6 × 6 matrices and includes non-separable spatial-temporal couplings in both transverse dimensions as well as temporal dispersive effects up to a quadratic phase. The eikonal in a modified Huygens integral in the Fresnell approximation is derived and can be used to propagate pulses through complicated dispersive optical systems within the paraxial approximation. Additionally, a simple formula for the propagation of ultrashort pulses having a Gaussian profile both spatially and temporally is presented.},
doi = {10.1364/OE.24.007752},
journal = {Optics Express},
number = 7,
volume = 24,
place = {United States},
year = {2016},
month = {4}
}

Journal Article:
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