High-Order Nystrom Method for Computing Waveguide Modes

Authors

  • John J. Ottusch HRL Laboratories, LLC 3011 Malibu Canyon Road Malibu, CA 90265
  • Stephen M. Wandzura HRL Laboratories, LLC 3011 Malibu Canyon Road Malibu, CA 90265

Keywords:

High-Order Nystrom Method for Computing Waveguide Modes

Abstract

We report a novel method for accurately computing the modes of an arbitrarily-shaped hollow waveguide. Our method uses a point-based (Nystrom) discretization of an integral operator over the waveguide aperture to compute the modes.

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References

L. S. Canino, J. J. Ottusch, M. A. Stalzer, J. L. Visher, and

S. M. Wandzura, “Numerical solution of the Helmholtz equa-

tion in 2d and 3d using a high-order Nystr ̈om discretization,”

Journal of Computational Physics, vol. 146, pp. 627—663, 1998.

J. D. Jackson, Classical Electrodynamics. New York: John Wi-

ley & Sons, second ed., 1975.

J. J. Ottusch, G. C. Valley, and S. Wandzura, “Integral equa-

tions and discretizations for waveguide apertures,” IEEE Trans-

actions on Antennas and Propagation, vol. 46, no. 11, pp. 1727—

, 1998.

W. H. Press, B. P. Flannery, S. Teukolsky, and W. T. Vetter-

ling, Numerical Recipes – The Art of Scientific Computing.

Cambridge: Cambridge University Press, second ed., 1992

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Published

2022-07-09

How to Cite

[1]
J. J. . Ottusch and S. M. . Wandzura, “High-Order Nystrom Method for Computing Waveguide Modes”, ACES Journal, vol. 17, no. 1, pp. 84–92, Jul. 2022.

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