The Gilbert-Holland FDTD thin slot model revisited: An alternative expression for the in-cell capacitance

Marios A. Gkatzianas, Constantine Balanis, Rodolfo Diaz

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

This paper proposes an alternative expression for the in-cell capacitance of a photoelectrical cell (PEC)-mounted slot, which is the conceptual cornerstone of the Gilbert-Holland subcell finite difference time domain (FDTD) model. By treating a slightly modified electrostatic problem, the extraneous charge singularity on the PEC edges touching the cell, which is characteristic of the originally proposed model, is removed. The latter offers better physical grounds for a new expression of the capacitance and the effective permittivity used in the update equations. High resolution standard FDTD simulation results are presented in support of the new expression.

Original languageEnglish (US)
Pages (from-to)219-221
Number of pages3
JournalIEEE Microwave and Wireless Components Letters
Volume14
Issue number5
DOIs
StatePublished - May 2004

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Netherlands
slots
Capacitance
capacitance
cells
Electrostatics
Permittivity
permittivity
electrostatics
high resolution
simulation

Keywords

  • Charge density
  • Conformal mapping
  • FDTD
  • In-cell capacitance
  • Subcell models

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper proposes an alternative expression for the in-cell capacitance of a photoelectrical cell (PEC)-mounted slot, which is the conceptual cornerstone of the Gilbert-Holland subcell finite difference time domain (FDTD) model. By treating a slightly modified electrostatic problem, the extraneous charge singularity on the PEC edges touching the cell, which is characteristic of the originally proposed model, is removed. The latter offers better physical grounds for a new expression of the capacitance and the effective permittivity used in the update equations. High resolution standard FDTD simulation results are presented in support of the new expression.",
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AB - This paper proposes an alternative expression for the in-cell capacitance of a photoelectrical cell (PEC)-mounted slot, which is the conceptual cornerstone of the Gilbert-Holland subcell finite difference time domain (FDTD) model. By treating a slightly modified electrostatic problem, the extraneous charge singularity on the PEC edges touching the cell, which is characteristic of the originally proposed model, is removed. The latter offers better physical grounds for a new expression of the capacitance and the effective permittivity used in the update equations. High resolution standard FDTD simulation results are presented in support of the new expression.

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