Alexander Moroz and Charles Sommers 1999 J. Phys.: Condens. Matter 11 997 doi:10.1088/0953-8984/11/4/007
Photonic band gaps of three-dimensional face-centred cubic lattices
Alexander Moroz
and Charles Sommers
We show that the photonic analogue of the Korringa-Kohn-Rostoker method is a viable alternative to the plane-wave method for analysing the spectrum of electromagnetic waves in a three-dimensional periodic dielectric lattice. Firstly, in the case of a fcc lattice of homogeneous dielectric spheres, we reproduce the main feature of the spectrum obtained by the plane-wave method, namely that for a sufficiently high dielectric contrast a full gap opens in the spectrum between the eighth and ninth bands if the dielectric constant 
of the spheres is lower than the dielectric constant 
of the background medium. If 
, no gap is found in the spectrum. The maximal value of the relative band-gap width approaches 14% in the close-packed case and decreases monotonically as the filling fraction decreases. The lowest dielectric contrast 
for which a full gap opens in the spectrum is determined to be 8.13. Eventually, in the case of a fcc lattice of coated spheres, we demonstrate that a suitable coating can enhance gap widths by as much as 50%.
- PACS
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42.70.Qs Photonic bandgap materials
- Subjects
- Dates
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Issue 4 (1 February 1999)
Received 21 October 1998, in final form 25 November 1998
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Photonic band gaps of three-dimensional face-centred cubic lattices
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