DocumentCode :
929173
Title :
Correction to "Asymptotic High-Frequency Modes of Homogeneous Waveguide Structures With Impedance Boundaries"
Author :
Lindell, Ismo V.
Volume :
30
Issue :
3
fYear :
1982
Firstpage :
296
Lastpage :
296
Abstract :
The treatment of Section V in the above paper was incomplete and, as such, a bit misleading. In fact, the existence question for solutions of equation (53) for f/sub 2/ = (pi/sub 2/, m/sub 2/) did not properly take into account the degeneracy of the basic modes f/sub 1/ = (pi/sub 1/, m/sub 1/). It is known that for a solution to exist, the right-hand side of a deterministic equation like (53) must be orthogonal to all solutions of the homogeneous adjoint problem, which in this case is the basic problem with solutions f/sub 1/. Without degeneracy, equation (56) would be that condition. However, since there are at least two linearly independent solutions f/sub 1i/, there are at least two such conditions, which leads to a contradiction except if f/sub 1/ in (53) is chosen in a special way. Let us denote the admissible f/sub 1/ in (53) by f´/sub 1/ and it can be written as a linear combination of any complete set of degenerate basic modes corresponding to the same parameter beta/sub 1/:f´/sub 1/ = Sigma alpha/sub i/f/sub 1i/.
Keywords :
Attenuation; Degradation; Diodes; Equations; Frequency; Impedance; Insertion loss; Low pass filters; Transmission line matrix methods; Wideband;
fLanguage :
English
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9480
Type :
jour
DOI :
10.1109/TMTT.1982.1131065
Filename :
1131065
Link To Document :
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