Effects of material composition on the superlens frequency of photonic crystals

Abstract

We use the plane-wave (PW) method to calculate the superlens frequency of photonic crystals with various material compositions. At this frequency, photonic crystal behaves like a medium with isotropic negative index equal to 1. The relationship between the frequency and material compositions is derived from the calculated data. For the TE and TM modes, the relationship has the same format. From the relationship, a case has been chosen and, under these conditions, the wave-propagating field through the photonic crystal has been calculated by the finite-difference time-domain method. A good agreement is obtained between the results from the PW method and the finite-difference time-domain calculation. This is very useful for fabricating photonic crystal superlens material at an appropriate frequency.