Solving the Maxwell equations by the Chebyshev method: a one-step finite-difference time-domain algorithm

Solving the Maxwell equations by the Chebyshev method: a one-step finite-difference time-domain algorithm

We present a one-step algorithm that solves the Maxwell equations for systems with spatially varying permittivity and permeability by the Chebyshev method. We demonstrate that this algorithm may be orders of magnitude more efficient than current finite-difference time-domain (FDTD) algorithms.

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Veröffentlicht in:IEEE transactions on antennas and propagation 2003-11, Vol.51 (11), p.3155-3160
Hauptverfasser: De Raedt, H., Michielsen, K., Kole, J.S., Figge, M.T.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Antennas
Chebyshev approximation
Dielectric constant
Finite difference method
Finite difference methods
Mathematical analysis
Maxwell equation
Maxwell equations
Numerical stability
Permeability
Permittivity
Polynomials
Proposals
Time domain analysis
Very large scale integration
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Beschreibung
Zusammenfassung:We present a one-step algorithm that solves the Maxwell equations for systems with spatially varying permittivity and permeability by the Chebyshev method. We demonstrate that this algorithm may be orders of magnitude more efficient than current finite-difference time-domain (FDTD) algorithms.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2003.818809