NDLI: 2D Ginzburg-Landau System of Complex Modulation for Coupled Nonlinear Transmission Lines

Content Provider	Springer Nature Link
Author	Kengne, E. Vaillancourt, R.
Copyright Year	2009
Abstract	In this paper a coupled mono-inductance transmission line is considered and the envelope modulation is reduced to the generalized 2D-Ginzburg-Landau system (2D-GL system). The case of scalar equation is also considered and we deduce from the obtained 2D-GL system a 2D-cubic Ginzburg-Landau equation (2D-GL equation) containing the derivatives with respect to one spatial variable in the cubic terms. The obtained 2D-GL system and 2D-GL equation admit spatial wave solutions. The modulational instability of these spatial wave solutions is investigated. In the case of the 2D-GL system we have restricted ourselves in the zero wavenumber of the perturbations, and the obtained modulational instability conditions depends only on the system’s coefficients and the wavenumber of the carriers. The modulational instability criterion is established for non zero wavenumber of the perturbation, and depends on both the wavenumber of the perturbation and the carrier. For the 2D-GL system we also study the coherent structures and present some numerical studies.
Ending Page	699
Page Count	21
Starting Page	679
File Format	PDF
ISSN	18666892
e-ISSN	15729559
Journal	International Journal of Infrared and Millimeter Waves
Issue Number	7
Volume Number	30
Language	English
Publisher	Springer US
Publisher Date	2009-03-28
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Classical Electrodynamics, Wave Phenomena 2D-Ginzburg-Landau system of complex modulation Electronics and Microelectronics, Instrumentation Coupled nonlinear transmission line 2D-coherent structure 2D-modulational instability Electrical Engineering
Content Type	Text
Resource Type	Article
Subject	Instrumentation Condensed Matter Physics Electrical and Electronic Engineering Radiation

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Design and Analysis of Millimeter-Wave Marchand Balun with Interconnected Transmission Line

Modulational instability in a purely nonlinear coupled complex Ginzburg-Landau equations through a nonlinear discrete transmission line.

Directivity of Radiation from a Localized Source Coupled to Electromagnetic Crystals

Wave Modulations in the Nonlinear Biinductance Transmission Line

Analysis of Radome Using Aperture Integration-surface Integration Method with Modified Transmission Coefficient

Analysis of Hermite Lossy Nonuniform Transmission Lines Based on Hermite Function and Confluent Hypergeometric Function

Low-Power Testing of Losses in Millimeter-Wave Transmission Lines for High-Power Applications

An Analysis of Characteristics of Coplanar Transmission Lines with Finite Conductivity and Finite Strip Thickness by the Method of Lines

Characterization of Nonlinear Transmission Lines for Short Pulse Amplification

2D Ginzburg-Landau System of Complex Modulation for Coupled Nonlinear Transmission Lines

Similar Documents

Design and Analysis of Millimeter-Wave Marchand Balun with Interconnected Transmission Line

Modulational instability in a purely nonlinear coupled complex Ginzburg-Landau equations through a nonlinear discrete transmission line.

Directivity of Radiation from a Localized Source Coupled to Electromagnetic Crystals

Wave Modulations in the Nonlinear Biinductance Transmission Line

Analysis of Radome Using Aperture Integration-surface Integration Method with Modified Transmission Coefficient

Analysis of Hermite Lossy Nonuniform Transmission Lines Based on Hermite Function and Confluent Hypergeometric Function

Low-Power Testing of Losses in Millimeter-Wave Transmission Lines for High-Power Applications

An Analysis of Characteristics of Coplanar Transmission Lines with Finite Conductivity and Finite Strip Thickness by the Method of Lines

Characterization of Nonlinear Transmission Lines for Short Pulse Amplification

2D Ginzburg-Landau System of Complex Modulation for Coupled Nonlinear Transmission Lines