Abstract
The volume integral equation (VIE) and the surface integral equation (SIE) formulations of the resonant mode, frequency, and quality factor of arbitrarily shaped dielectric resonators (DR) in free space and in a semi-open multilayered medium are compared. Although both methods are very efficient tools for resonant field/frequency determination for microwave circuit design and analysis, we have found that SIE is not suitable for determining the quality factor of high quality DRs of interest in high performance microwave filters and oscillators. As the quality factor goes beyond several hundred, the quality factor obtained through SIE-MoM becomes erroneous. It may fluctuate randomly depending on the mesh. However, VIE-MoM has been found to be robust and reliable for DRs with very high quality factors.
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