Edge Diffraction at Open-Ended Parallel Plate Resonator

Edge Diffraction at Open-Ended Parallel Plate Resonator

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This chapter will examine edge waves excited by a plane wave incident upon a parallel plate waveguide of a finite size. The principal characteristic of this structure is that it exhibits resonant properties, i.e., the ability at some frequencies to store strong electromagnetic fields. The parallel plate waveguide is a simple case of an open resonator, which is utilized in quasioptical generators. The characteristic frequencies of such a resonator were first researched by Fox and Li. These authors used Huygen's principle to formulate an integral equation and numerically determine some of its characteristic functions and characteristic numbers. Subsequently, Vainshtein used physical considerations to conduct an analytical investigation of the characteristic oscillations of a two dimensional planar resonator. Note also that single-mode parallel plate resonators with geometrical parameters kb < 3π/2 and kl >> 1 were considered by Jones and Williams. Here, 2b is the distance between the plates and 2l is their width. The solution of the problem for the case kb << 1, kl ∧<<1 was given by Pimenov.

Chapter Contents:

  • 12.1 Derivation of the Fundamental Functional Equations
  • 12.2 Formulation and Solution of the Functional Equations for Edge Waves
  • 12.3 Rigorous Expressions for the Diffracted Field in the Far Zone and Interior to the Resonator
  • 12.4 Physical Interpretation and Asymptotic Expressions for Fn(w,u)
  • 12.5 Approximate Expressions for the Scattering Pattern and Amplitude of Edge Waves
  • 12.6 Resonant Part of the Field Inside the Resonator
  • 12.7 Radiation and Scattering from an Open Resonator
  • 12.8 Results of Numerical Calculations
  • 12.9 Fundamental Results
  • 12.10 Additional Comments

Inspec keywords: electromagnetic fields; resonators; electromagnetic wave diffraction

Other keywords: Huygen principle; open-ended parallel plate resonator; integral equation; edge wave; planar resonator; electromagnetic field; quasioptical generator; parallel plate waveguide; edge diffraction; plane wave incident; single-mode parallel plate resonator

Subjects: Electromagnetic wave propagation; Waveguide and microwave transmission line components

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