Numerical and analytical solutions of dispersion equation in lossy nonlinear waveguiding system
✍ Scribed by M. M. Shabat; D. Jäger; M. A. Abd-El naby; N. M. Barakat
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 139 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
very different when the separation between the circular patches is small, these resonant frequencies tend to merge as the separation between the patches increases and the coupling between the patches accordingly decreases. Also, whereas the resonant frequencies of the even mode are larger than those of the odd mode in the suspended configuration, the opposite holds for the inverted configuration. In order to explain this, it should be pointed out that the even᎐mode effective permittivity is smaller than the odd᎐mode effective permittivity in the suspended configuration, but the former is larger than the latter in the inverted configuration.
IV. CONCLUSIONS
Galerkin's method in the Hankel transform domain is applied to the determination of the resonant frequencies of the dominant even and odd resonant modes of broadside-coupled circular microstrip resonators in conventional, suspended, and inverted configurations. Some of the numerical results obtained are checked against experimental results, and good agreement is found. The numerical results obtained show that the two dominant modal resonant frequencies of the resonators can be very different if the separation between the circular metallic patches is small. However, these differences quickly decrease as the separation between the circular patches increases.