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Ultrashort Optical Pulse Propagation in terms of Analytic Signal
Joint Authors
Demircan, A.
Amiranashvili, Sh.
Source
Advances in Optical Technologies
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
We demonstrate that ultrashort optical pulses propagating in a nonlinear dispersive medium are naturally described through incorporation of analytic signal for the electric field.
To this end a second-order nonlinear wave equation is first simplified using a unidirectional approximation.
Then the analytic signal is introduced, and all nonresonant nonlinear terms are eliminated.
The derived propagation equation accounts for arbitrary dispersion, resonant four-wave mixing processes, weak absorption, and arbitrary pulse duration.
The model applies to the complex electric field and is independent of the slowly varying envelope approximation.
Still the derived propagation equation posses universal structure of the generalized nonlinear Schrödinger equation (NSE).
In particular, it can be solved numerically with only small changes of the standard split-step solver or more complicated spectral algorithms for NSE.
We present exemplary numerical solutions describing supercontinuum generation with an ultrashort optical pulse.
American Psychological Association (APA)
Amiranashvili, Sh.& Demircan, A.. 2011. Ultrashort Optical Pulse Propagation in terms of Analytic Signal. Advances in Optical Technologies،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-514007
Modern Language Association (MLA)
Amiranashvili, Sh.& Demircan, A.. Ultrashort Optical Pulse Propagation in terms of Analytic Signal. Advances in Optical Technologies No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-514007
American Medical Association (AMA)
Amiranashvili, Sh.& Demircan, A.. Ultrashort Optical Pulse Propagation in terms of Analytic Signal. Advances in Optical Technologies. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-514007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-514007