ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
Leonid Friedlander · Communications in Partial Differential Equations · 2002
Let Ω0 be a domain in the cube , and let be a function that equals 1 inside Ω0, equals τ in , and that is extended periodically to R n . It is known that, in the limit , the spectrum of the operator exhibits the band-gap structure. We establish the asymptotic behavior of the density of states function in the bands.