Srinivasan, Kartik and Painter, Oskar (2003) Fourier space design of highQ cavities in standard and compressed hexagonal lattice photonic crystals. Optics Express, 11 (6). pp. 579593. ISSN 10944087. http://resolver.caltech.edu/CaltechAUTHORS:SRIoe03

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Abstract
Building upon the results of recent work [1], we use momentum space design rules to investigate high quality factor (Q) optical cavities in standard and compressed hexagonal lattice photonic crystal (PC) slab waveguides. Beginning with the standard hexagonal lattice, the results of a symmetry analysis are used to determine a cavity geometry that produces a mode whose symmetry immediately leads to a reduction in vertical radiation loss from the PC slab. The Q is improved further by a tailoring of the defect geometry in Fourier space so as to limit coupling between the dominant Fourier components of the defect mode and those momentum components that radiate. Numerical investigations using the finitedifference timedomain (FDTD) method show significant improvement using these methods, with total Q values exceeding 10^5. We also consider defect cavities in a compressed hexagonal lattice, where the lattice compression is used to modify the inplane bandstructure of the PC lattice, creating new (frequency) degeneracies and modifying the dominant Fourier components found in the defect modes. High Q cavities in this new lattice geometry are designed using the momentum space design techniques outlined above. FDTD simulations of these structures yield Q values in excess of 10^5 with mode volumes of approximately 0.35 cubic halfwavelengths in vacuum.
Item Type:  Article 

Additional Information:  ©2003 Optical Society of America. Received January 06, 2003; Revised March 15, 2003. K. Srinivasan thanks the Hertz Foundation for its financial support. 
Subject Keywords:  OCIS codes: (230.5750) Resonators; (140.5960) Semiconductor lasers 
Record Number:  CaltechAUTHORS:SRIoe03 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:SRIoe03 
Alternative URL:  http://www.opticsexpress.org/abstract.cfm?URI=OPEX116579 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  277 
Collection:  CaltechAUTHORS 
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Deposited On:  16 May 2005 
Last Modified:  08 Dec 2014 18:48 
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