NDLI: Higher Stability Limits for the Symplectic FDTD Method by Making Use of Chebyshev Polynomials

Content Provider	IEEE Xplore Digital Library
Author	Kusaf, M. Oztoprak, A.Y.
Copyright Year	2001
Abstract	A new scheme is introduced for obtaining higher stability performance for the symplectic finite-difference time-domain (FDTD) method. Both the stability limit and the numerical dispersion of the symplectic FDTD are determined by a function zeta. It is shown that when the zeta function is a Chebyshev polynomial the stability limit is linearly proportional to the number of the exponential operators. Thus, the stability limit can be increased as much as possible at the cost of increased number of operators. For example, the stability limit of the four-exponential operator scheme is 0.989 and of the eight-exponential operator scheme it is 1.979 for fourth-order space discretization in three dimensions, which is almost three times the stability limit of previously published symplectic FDTD schemes with a similar number of operators. This study also shows that the numerical dispersion errors for this new scheme are less than those of the previously reported symplectic FDTD schemes
Sponsorship	IEEE Microwave Theory and Techniques Society
Starting Page	579
Ending Page	581
Page Count	3
File Size	310022
File Format	PDF
ISSN	15311309
Volume Number	16
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Finite difference methods Chebyshev approximation Polynomials Time domain analysis Matrix decomposition Costs Maxwell equations Taylor series Lattices symplectic integrator propagator Electromagnetic fields finite-difference time-domain (FDTD) methods
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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

Optimized exponential operator coefficients for symplectic FDTD method

Multidomain Pseudospectral Time Domain Algorithm Using a Symplectic Integrator

A Modified High Order FDTD Method Based on Wave Equation

A Compact Symplectic High-Order Scheme for Time-Domain Maxwell's Equations

The Force-Gradient Symplectic Finite-Difference Time-Domain Scheme for Maxwell's Equations

Time-domain simulation of electromagnetic field using a symplectic integrator

A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator

A higher order FDTD method in Integral formulation

Stability of FDTD in curvilinear coordinates

Higher Stability Limits for the Symplectic FDTD Method by Making Use of Chebyshev Polynomials

Similar Documents

Optimized exponential operator coefficients for symplectic FDTD method

Multidomain Pseudospectral Time Domain Algorithm Using a Symplectic Integrator

A Modified High Order FDTD Method Based on Wave Equation

A Compact Symplectic High-Order Scheme for Time-Domain Maxwell's Equations

The Force-Gradient Symplectic Finite-Difference Time-Domain Scheme for Maxwell's Equations

Time-domain simulation of electromagnetic field using a symplectic integrator

A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator

A higher order FDTD method in Integral formulation

Stability of FDTD in curvilinear coordinates

Higher Stability Limits for the Symplectic FDTD Method by Making Use of Chebyshev Polynomials