Alexander Moroz and Adriaan Tip 1999 J. Phys.: Condens. Matter 11 2503 doi:10.1088/0953-8984/11/12/005
Resonance-induced effects in photonic crystals
Alexander Moroz and Adriaan Tip
Show affiliationsFor the case of a simple face-centred-cubic photonic crystal of homogeneous dielectric spheres, we examine to what extent single-sphere Mie resonance frequencies are related to band gaps and whether the width of a gap can be enlarged due to nearby resonances. Contrary to some suggestions, no spectacular effects may be expected. When the dielectric constant of the spheres 
is greater than the dielectric constant 
of the background medium, then for any filling fraction f there exists a critical 
above which the lowest-lying Mie resonance frequency falls inside the lowest stop gap in the (111) crystal direction, close to its midgap frequency. If 
, the correspondence between Mie resonances and both the (111) stop gap and a full gap does not follow such a regular pattern. If the Mie resonance frequency is close to a gap edge, one can observe a resonance-induced widening of a relative gap width by 
.
- PACS
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42.70.Qs Photonic bandgap materials
77.84.-s Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials
- Subjects
- Dates
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Issue 12 (29 March 1999)
Received 12 October 1998, in final form 21 December 1998
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Resonance-induced effects in photonic crystals
Alexander Moroz and Adriaan Tip 1999 J. Phys.: Condens. Matter 11 2503
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