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Analytical Solution of Whispering-Gallery Modes

[+] Author Affiliations
Haiyong Quan, Zhixiong Guo

Rutgers, The State University of New Jersey, Piscataway, NJ

Paper No. IPACK2007-33124, pp. 489-497; 9 pages
doi:10.1115/IPACK2007-33124
From:
  • ASME 2007 InterPACK Conference collocated with the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference
  • ASME 2007 InterPACK Conference, Volume 1
  • Vancouver, British Columbia, Canada, July 8–12, 2007
  • Conference Sponsors: Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4277-0 | eISBN: 0-7918-3801-3
  • Copyright © 2007 by ASME

abstract

Advances in MEMS/NEMS techniques have enabled high-Q whispering-gallery modes in integrated microcavities. Potential applications of optical microcavities include quantum informatics, novel micro/nano sources, dynamic filters, and micro/nanosensors. It is important to understand the intrinsic resonant modes of a cavity. In this report, we will analyze whispering-gallery modes in resonators of planar structure which is common in MEMS devices. The wave equation is solved by using the method of separation of variables with appropriate boundary conditions. Analytical formulations are established. The resonance frequencies as well as the electric field distributions in exemplary resonators are presented for a variety of whispering-gallery modes.

Copyright © 2007 by ASME

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