## Accurate theoretical analysis of photonic band-gap materials

Two improvements for the solution of Maxwell's equations in
periodic dielectric media are introduced, abandoning the plane-wave
cutoff and interpolating the dielectric function. These improvements
permit the accurate study of previously inaccessible systems. Example
calculations are discussed, employing a basis of ~ 10^{6}
plane waves for which these two improvements reduce both the memory
and central processing unit requirements by ~ 10^{4}.

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**J. D. Joannopoulos
**

Ab Initio Physics

Research Group at MIT