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

Journal Article · · Optics Express
DOI:https://doi.org/10.1364/OE.24.007752· OSTI ID:1251566
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)

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.

Research Organization:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1251566
Report Number(s):
SLAC-PUB-16500
Journal Information:
Optics Express, Vol. 24, Issue 7; ISSN 1094-4087
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (14)

Ray-pulse matrices: a rational treatment for dispersive optical systems journal June 1990
The general theory of first-order spatio-temporal distortions of Gaussian pulses and beams journal January 2005
Spatio-temporal couplings in ultrashort laser pulses journal August 2010
Collective instabilities and high-gain regime in a free electron laser journal July 1984
Spectrum, temporal structure, and fluctuations in a high-gain free-electron laser starting from noise journal July 1994
An analysis of self-amplified spontaneous emission journal September 1986
First lasing and operation of an ångstrom-wavelength free-electron laser journal August 2010
Self-amplified spontaneous emission for a single pass free-electron laser journal June 2011
Coherent optical vortices from relativistic electron beams journal August 2013
Exact and variational solutions of 3D eigenmodes in high gain FELs journal May 2000
Possible application of X-ray optical elements for reducing the spectral bandwidth of an X-ray SASE FEL journal August 1997
Experimental Demonstration of a Soft X-Ray Self-Seeded Free-Electron Laser journal February 2015
Spatial-temporal coupling in a grating-pair pulse compression system analysed by matrix optics journal September 1995
Lens-System Diffraction Integral Written in Terms of Matrix Optics* journal January 1970

Cited By (2)

Gaussian pulsed beam decomposition for propagation of ultrashort pulses through optical systems journal December 2019
Modeling and optimization of transverse modes in vertical-external-cavity surface-emitting lasers journal January 2019