Formal expression of sensitivity and energy relationship in the context of the coupling matrix

  • Monica Martinez-Mendoza /
  • Fabien Seyfert /
  • Christoph Ernst /
  • Alejandro Alvarez-Melcon
Journal ar
IEEE Transactions on Microwave Theory and Techniques
  • Volumen: 60
  • Número: 11
  • Fecha: 01 January 2012
  • Páginas: 3369-3375
  • ISSN: 00189480
  • Source Type: Journal
  • DOI: 10.1109/TMTT.2012.2216286
  • Document Type: Article
  • Publisher: Institute of Electrical and Electronics Engineers Inc.
Precise formulas to express the formal relationship between the time average stored energy in the resonators of a low-pass filter network and the sensitivity of the reflection S-parameter with respect to the coupling matrix terms are demonstrated in this paper, considering the normalized frequency axis. These relationships are found in the modern context of the N + 2 coupling matrix, and for both diagonal and general nondiagonal coupling elements of the matrix. The results are valid for any type of coupling topology represented by the N + 2 coupling matrix. Different examples are included as validation. Furthermore, important implications and applications derived from the new relationships are highlighted. © 1963-2012 IEEE.

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