Lesson 14 – Analyzing 2D Defects in Photonic Crystals

Analyzing 2D Defects in Photonic Crystals Introduction

In the previous tutorials we were interested in finding band gaps of 1D, 2D and 3D photonic crystal structures. No modes are allowed with frequencies inside the gap. By perturbing a lattice at a single site we may permit an existence of a localized point- defect mode or set of such modes that have frequencies within…

Square 2D Lattice

1.1  Setting and Simulating Supercell The rectangular lattice of dielectric rods with permittivity 8.9 suspended in air was investigated earlier in Lesson 2—Input wave setup. We found that the TE solutions (Optiwave convention) exhibit a band gap in the range between 0.324 and 0.442. First we have a look what is going to happen if…

References

[3] Joannopoulos, J.D., Meade, R.D., Winn, J.N., “Photonic Crystals, Molding the flow of light”, Princeton University Press 1995 [4] Ho, K.M., Chan, C.T., Soukolis, C.M., “Existence of photonic gaps in periodic dielectric structures,” Phys.Rev.Lett. 65, p3152