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IEEE Transactions on Antennas and Propagation
Volume 46 Number 11, November 1998

Integral Equations and Discretizations for Waveguide Apertures

Page 1727.

Abstract:

We present integral equations and their discretizations for calculating the fields radiated from arbitrarily shaped antennas fed by cylindrical waveguides of arbitrary cross sections. We give results for scalar fields in two dimensions with Dirichlet and Neumann boundary conditions and for (vector) electric and magnetic fields in three dimensions. The discretized forms of the equations are cast in identical format for all four cases. Feed modes can be TM, TE, or transverse electromagnetic (TEM). A method for numerically computing the modes of an arbitrarily shaped, cylindrical waveguide aperture is also given.

References

1. R. F. Harrington, Field Computation by Moment Methods.New York: Macmillan, 1968.
2. D. T. McGrath and V. P. Pyati, "Phased array antenna analysis with the hybrid finite element method," IEEE Trans. Antennas Propagat., vol. 42, pp. 1625-1630, Dec. 1994.
3. D. S. Jones, The Theory of Electromagnetism.New York: Pergamon, 1964.
4. A. W. Maue, "Toward formulation of a general diffraction problem via an integral equation," Zeitschrift Phys., vol. 126, pp. 601-618, 1949.
5. P. M. Morse and H. Feshbach, Methods of Theoretical Physics.New York: McGraw-Hill, 1953.
6. J. D. Jackson, Classical Electrodynamics, 2nd ed.New York: Wiley, 1975.
7. N. Morita, N. Kumagai, and J. R. Mautz, Integral Equation Methods for Electromagnetics.Norwood, MA: Artech House, 1990.