Split-Ball Resonator

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Tahir Ejaz

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I am trying to find basic theory of split-ball resonator (SBR). Illustrations are attached.
First illustration shows side and top view of SBR where as second one shows a SBR enclosed inside a cavity/shield. I have simulated this structure in HFSS. Its behaviour is similar to split-ring resonator (SRR) but has higher quality factor than SRR.
 

Thanks a lot. This paper presents its use in the field of optics and that to nano-scale. I am looking for basic theory for non planar version.
 

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