Modes of elliptical waveguides: a correction

• Published in: IEEE transactions on microwave theory and techniques Vol. 38; no. 11; pp. 1603 - 1608
• Main Authors: Goldberg, D.A., Laslett, L.J., Rimmer, R.A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.1990; Institute of Electrical and Electronics Engineers
• Subjects: Analysis of variance; Applied sciences; Circuit properties; Cutoff frequency; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Iterative methods; Magnetic analysis; Magnetic flux; Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits; Partial differential equations; Pattern analysis; Permission; Physics; Wave equation; Cut off frequency; Critical study; Propagation mode; Magnetic field; Elliptical waveguide; Waveguide; Transverse field
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/22.60005

It is shown that the fields associated with the TM/sub 01/ (transverse magnetic) mode of an elliptical waveguide are qualitatively different from those which have appeared in the standard literature for the past 50 years, and that the original fields as plotted were also in qualitative disagreement with the analytic expressions which accompanied them. Nonetheless, the cutoff frequencies given for that mode as well as for five other modes are exceedingly accurate (within roughly 1%) for elliptical eccentricities as large as 0.75; for eccentricities in excess of 0.9, the inaccuracy increases from 5% to nearly 50%, depending on the mode in question.< >