Proof of Perturbational Duality Between Classical Cavities and Planar Resonators with Magnetic Side-walls

Adham Naji, Paul Warr

Research output: Contribution to journalLetter (Academic Journal)peer-review

1 Citation (Scopus)
305 Downloads (Pure)

Abstract

In this note a formal proof is given to an observation that the perturbational response of a planar resonator, which can be modelled as a cavity with magnetic side-walls, is the dual of the behaviour of a classical cavity with electric walls. This perturbational duality is observed even though the respective boundary types are not exactly dual. This observation is important as it provides the designer of planar resonators, such as filters and antennas, with a new ‘intuition’ to the pertubational reaction of such structures, and how it opposes that of classical cavities during perturbation. The formalism of the proof follows clear steps that parallel those found in the classic literature, and the observation is confirmed using numerical methods and measurements.
Original languageEnglish
Number of pages3
JournalIEEE Microwave and Wireless Components Letters
Volume26
Issue number7
Early online date13 Jun 2016
DOIs
Publication statusPublished - 4 Jul 2016

Keywords

  • Perturbation theory
  • eigenvalue problem
  • planar resonator
  • boundary perturbation
  • microstrip resonator

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