Analytic solution of the Feldtkeller equation

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ŞENGÜL M.

AEU - International Journal of Electronics and Communications, vol.63, no.8, pp.632-637, 2009 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 63 Issue: 8
• Publication Date: 2009
• Doi Number: 10.1016/j.aeue.2008.05.003
• Journal Name: AEU - International Journal of Electronics and Communications
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.632-637
• Keywords: Feldtkeller equation, Lossless circuits, Reciprocal circuits, Two-port circuits
• Istanbul Kültür University Affiliated: No

Abstract

In every reflectance-based application like broadband matching, circuit modeling, etc., a nonlinear equation following from energy conservation, the Feldtkeller equation, must be solved, in order to obtain real networks. In the literature, however, there is no analytic solution available but only numerical solutions. Consequently, the resulting error depends on the accuracy of the numerical tools. In this paper, an analytic solution is proposed, which is based on the modified ABCD-parameters of a lossless reciprocal two-port network. An algorithm is presented and examples are included to illustrate the implementation of the analytical method. © 2008 Elsevier GmbH. All rights reserved.