Moving coordinate frame FDTD analysis of long range tracking of pulsed fields in graded index waveguides

Y. Pemper, V. Lomakin, E. Heyman, R. Kastner, Richard W Ziolkowski

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Modeling of long range propagation of pulsed fields along guiding structures poses some major difficulties with the conventional FDTD scheme, arising from the vast computer resources needed to discretize the entire domain and the accumulation of numerical dispersion error. The moving frame FDTD approach, presented in this work, overcomes these difficulties by limiting the computational grid to a window centered about the propagating pulse and moving along with it at the local wavespeed of the medium. In this work, we first present an FDTD solution of the field equations as formulated in the moving coordinate frame, and then explore such issues as the numerical dispersion, which is shown to be reduced substantially compared with the stationary formulation, the numerical stability, and the absorbing boundary conditions at the leading, trailing and side boundaries of the moving window. Numerical results of pulsed field propagation along graded index waveguides are shown, and the capability of the method is demonstrated with propagation distances exceeding the order of 104 pulse lengths. We choose initial field distributions that give rise to pulsed beam fields. The propagation characteristics of these fields along nonuniform guides are explored analytically in the Appendix. The numerical results are also checked against frequency domain adiabatic mode solutions developed in the Appendix.

Original languageEnglish (US)
Pages (from-to)493-496
Number of pages4
JournalJournal of Electromagnetic Waves and Applications
Volume14
Issue number4
StatePublished - 2000

Fingerprint

Finite-difference Time-domain (FDTD)
finite difference time domain method
Waveguide
Waveguides
waveguides
propagation
Convergence of numerical methods
Range of data
Propagation
Numerical Dispersion
Boundary conditions
computational grids
numerical stability
pulses
Absorbing Boundary Conditions
Numerical Results
resources
Moving Frame
Computational Grid
Numerical Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Statistical and Nonlinear Physics

Cite this

Moving coordinate frame FDTD analysis of long range tracking of pulsed fields in graded index waveguides. / Pemper, Y.; Lomakin, V.; Heyman, E.; Kastner, R.; Ziolkowski, Richard W.

In: Journal of Electromagnetic Waves and Applications, Vol. 14, No. 4, 2000, p. 493-496.

Research output: Contribution to journalArticle

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