An Analysis for the Whispering Gallery Modes on a Millimeter Wave Dielectric Disk Resonator by a Point Matching Method(Special Issue on Millimeter-Wave Circuits and Fabrication Technologies Opening up the 21st Century)

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概要

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• Using a point matching method, we have numerically analyzed resonance frequencies and unloaded Q factor of whispering gallery modes in a millimeter wave region that are well known as an intrinsic mode of a dielectric disk resonator. We express field distributions of the resonance modes by a summation of spherical waves. Tangential electromagnetic fields inside the disk are matched to those outside the disk at appropriate matching points on a boundary. As the result, a 4N×4N(N;number of matching points)determinant is derived as an eigenvalue equation of the disk resonator. Since elements of the determinant are complex numbers, a complex angular frequency is introduced to make a value of the determinant zero. For a location of the matching points, we also introduce a new technique which is derived from a field expression of the whispering gallery modes. Since an azimuthal angle dependence of the field distributions with a resonance mode number m is presented by the associated Legendre function P^m(cosθ), we define abscissas θ of the matching points as solutions of P^^m__<m+2N-1(cosθ)=0.Considering the field symmetry, we also modify the eigenvalue equation to a new eigenvalue equation which is expressed (4N-2)×(4N-2)determinant. From the results of our numerical analysis, we can find that the resonance frequencies and unloaded Q factor well converge for number of matching points N.A comparison of numerical results and experimental ones, in a millimeter wave band (50-100GHz), shows a good agreement with each other. It is found that our analysis is effective for practical use in the same wave band.

• 社団法人電子情報通信学会の論文
• 2001-10-01

著者

• KOGAMI Yoshinori

  Faculty of Engineering, Utsunomiya University

• TOMABECHI Yoshiro

  Faculty of Education, Utsunomiya University

• KOGAMI Yoshinori

  The Faculty of Engineering, Utsunomiya University

• MATSUMURA Kazuhito

  The Faculty of Engineering, Utsunomiya University

• Kogami Y

  Faculty Of Engineering Utsunomiya University

• Tomabechi Yoshiro

  Faculty Of Education Utsunomiya University

• Matsumura K

  Faculty Of Engineering Utsunomiya University

• TOMABECHI Yoshiro

  the Faculty of Education, Utsunomiya University

• MATSUBARA Mari

  the Faculty of Education, Utsunomiya University

• Matsubara Mari

  The Faculty Of Education Utsunomiya University

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• Precise Measurement for Temperature Dependence of Dielectric Rod Materials Using an Image-Type Resonator Method (Special Issue on Measurement Techniques for Microwave/Millimeter Wave)
• An Analysis for the Whispering Gallery Modes on a Millimeter Wave Dielectric Disk Resonator by a Point Matching Method(Special Issue on Millimeter-Wave Circuits and Fabrication Technologies Opening up the 21st Century)
• Resonance Characteristics of a Coupled Dielectric Resonator Which Consists of a Dielectric Disk Resonator and a Ring Resonator
• Resonance Characteristics of Circularly Propagating Mode in a Coaxial Dielectric Resonator (Special Issue on Electromagnetic Theory)
• A Millimeter Wave Filter Using the Whispering-Gallery Mode Dielectric Resonators Coupled Laterally(Resonators & Filters, Recent Technologies of Microwave and Millimeter-Wave Devices Focusing on Miniaturization and Advancement in Performan

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