Arbitrary-waveform-decomposition technique applied to the Schrödinger equation

Liang Zhao; Junqiang Sun; Xinliang Zhang; Cong Chen

doi:10.1117/1.OE.51.10.105006

1 October 2012 Arbitrary-waveform-decomposition technique applied to the Schrödinger equation

Liang Zhao, Junqiang Sun, Xinliang Zhang, Cong Chen

Author Affiliations +

Optical Engineering, Vol. 51, Issue 10, 105006 (October 2012). https://doi.org/10.1117/1.OE.51.10.105006

Abstract

The arbitrary-waveform-decomposition technique is employed to study the arbitrary-waveform pulse that propagates over optical fibers and the evolution process is strictly governed by the dispersion-managed Schrödinger equation. Through decomposing the initial signal waveform into sub Gaussian pulses, we can simply yield the approximately analytical solutions when incorporating the second- and third-order dispersion terms into the Schrödinger equation, with the form of combination of Gaussian functions and Airy functions, and the error between the solution derived by our method and the exact solution is strictly dependent on curve-fitting during the decomposing process. Our results should be useful for predicting the evolution characteristics of arbitrary-waveform pulse in various forms of optical communications systems.

Citation Download Citation

Liang Zhao, Junqiang Sun, Xinliang Zhang, and Cong Chen "Arbitrary-waveform-decomposition technique applied to the Schrödinger equation," Optical Engineering 51(10), 105006 (1 October 2012). https://doi.org/10.1117/1.OE.51.10.105006

Published: 1 October 2012

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $24.00

Non-members: $28.00 ADD TO CART

JOURNAL ARTICLE
9 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Picosecond phenomena

Gaussian pulse

Optical engineering

Signal attenuation

Dispersion

Optical fibers

Telecommunications

Show All Keywords

Keywords/Phrases

Search In:

Publication Years