Evaluation of the discrete complex-image method for a NEC-like moment-method solution Page: 10 of 12
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Accuracy decreases for very small distances due to truncation of the approximation contour, but
the errors become less significant relative to the quasistatic terms. The approximation contour
and number of images can be adjusted to optimize the approximation for a given range of distances
and accuracy. The discrete images provide a simple and highly compact representation for the
field. The code to obtain the image parameters using the matrix pencil method was about 24,000
lines using the LAPAC routines, but simpler routines should be available.
The discrete image approximation can also be used when source and evaluation points are
on opposite sides of the interface, but its usefulness seems much more limited since the image
parameters must be recomputed for each new source location, or for each new evaluation point
[10]. It still might be usable in a moment-method with efficient "bookkeeping" in filling the
matrix.
References
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[10] D. G. Fang, J. J. Yang and G. Y. Delisle, "Discrete image theory for horizontal electric dipoles in a
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[11] Y. L. Chow, J. J. Yang, D. G. Fang and G. E. Howard, "A Closed-Form Spatial Green's Function
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[12] M. I. Aksun and R. Mitra, "Derivation of Closed-Form Green's Functions for a General Microstrip
Geometry," IEEE Trans. MTT, Vol. 40, No. 11, Nov. 1992.
[13] R. M. Shubair and Y. L. Chow, "A Simple and Accurate Complex Image Interpretation of Vertical
Antennas Present in Contiguous Dielectric Half-Spaces," IEEE Trans. Ant. and Propag., Vol. 41,
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[14] F. B. Hildebrand, Introduction to Numerical Analysis, McGraw Hill Co., New York, pp. 378-382,
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Burke, G. J. Evaluation of the discrete complex-image method for a NEC-like moment-method solution, report, January 5, 1996; California. (https://digital.library.unt.edu/ark:/67531/metadc671246/m1/10/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.