TY - JOUR

T1 - Approximating the surface impedance of a homogeneous lossy half-space

T2 - An example of "dialable" accuracy

AU - Petropoulos, Peter G.

N1 - Funding Information:
The author wishes to thank the Air Force Office of Scientific Research, Air Force Materials Command, USAF, for their support of this work.
Funding Information:
Manuscript received April 27, 2001. This work was supported in part by Airforce Office of Scientific Research (AFOSR) under Grant F49620-99-1-0072. The U.S. Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon.

PY - 2002/7

Y1 - 2002/7

N2 - We present an approximation by exponentials of the time-domain surface impedance of a lossy half space. Gauss-Chebyshev quadrature of order N - 1 is employed to approximate an integral representation of the modified Bessel functions comprising the time-domain impedance kernel. An explicit error estimate is obtained in terms of the physical parameters, the computation time, and the number of quadrature points N. We show our approximation as accurate as other approaches, which do not come with such an error estimate. The conditions under which the error estimate derived herein, also applies to the approximation in [5] are investigated.

AB - We present an approximation by exponentials of the time-domain surface impedance of a lossy half space. Gauss-Chebyshev quadrature of order N - 1 is employed to approximate an integral representation of the modified Bessel functions comprising the time-domain impedance kernel. An explicit error estimate is obtained in terms of the physical parameters, the computation time, and the number of quadrature points N. We show our approximation as accurate as other approaches, which do not come with such an error estimate. The conditions under which the error estimate derived herein, also applies to the approximation in [5] are investigated.

KW - Finite-difference time-domain (FDTD) method

KW - Surface impedance boundary condition

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U2 - 10.1109/TAP.2002.800703

DO - 10.1109/TAP.2002.800703

M3 - Article

AN - SCOPUS:0036630691

VL - 50

SP - 941

EP - 943

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 7

ER -