| Project/Area Number |
11650368
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
情報通信工学
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| Research Institution | Utsunomiya Univerity |
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Principal Investigator |
TOMABECHI Yoshiro Utsunomiya University, Department of Education, Professor, 教育学部, 教授 (00008062)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUBARA Mari Utsunomiya University, Department of Education, Lecturer, 教育学部, 講師 (90282376)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1999: ¥2,700,000 (Direct Cost: ¥2,700,000)
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| Keywords | millimeter wave band / semi-spherical resonator with high permittivity / whispering gallery mode / resonance characteristics / unloaded Q factor / matching points |
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| Research Abstract |
A subject of our research is to make clear resonance characteristics of Whispering Gallery Modes can a semi-spherical resonator with a high permittivity by a Point Matching Method.
In 1999, We expressed field distributions of the resonance modes by a summation of spherical waves. Tangential electromagnetic fields inside the resonator were matched to those outside the resonator at appropriate matching points on the boundary. As the result, a 4N×4N (N ; number of matching points) determinant was derived as an eigenvalue equation of the semi-spherical resonator. As N matching points, in this analysis, were located on a boundary of the resonator to make equi-angles, we failed to obtain resonance frequencies and unloaded Q factors with a good convergence. In 2000, we improved our location of the matching point to obtain eigenvalue with a good convergence. For a location of the matching points, we also introduced a new technique derived from electromagnetic field distribution of the Whispering Gallery Modes. Since an azimuthal angle dependence of the Whispering Gallery Mode with a resonance mode number m was presented by the associated Legendre function P^m_n (cos θ), we defined abscissas θ. of the matching points as solutions of P^m_<m+2Z-1> (cos θ)=0. Considering the field symmetry, we also modified the eigenvalue equation to a new eigenvalue equation which was expressed (4N-2)×(4N-2) determinant. From results of numerical analysis, we could find that the resonance frequencies and unloaded Q factor well converged for number of matching points N.A comparison of numerical results and experimental ones showed a good agreement with each other.
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