Lesson 13 – Analyzing 3D Photonic Crystals

Analyzing 3D Photonic Crystals Introduction

Introduction Most of the features of PWE band solver were demonstrated in Lessons 11 and 12. In this tutorial we apply the solver to a 3D problem of a fcc (face centered cubic) and diamond lattices of spherical air balls suspended in a dielectric medium. Such structures have been intensively studied in the past [2].…

FCC Lattices of Air Spheres in Dielectric

1.1 Create a 3D rectangular lattice of dielectric spheres Note: –    In this lesson, it is assumed that you already read the PWE tutorial Lesson 11 – Analyzing 1D Photonic Crystals (Bragg gratings) and Lesson 12 – Analyzing 2D Photonic Crystals. –    For the details on how a lattice can be created, please refer to Lesson 3—…

Diamond Lattice of Air Spheres in Dielectric

2.1 Layout design of the diamond lattice     The fcc lattice of air balls in dielectric was not found to posses band gaps. However, it has been shown that in case of diamond lattice band gap structure can be detected. The diamond lattice is composed of two interpenetrating fcc lattices, one displaced ¼ of…

References

[1] Joannopoulos, J.D., Meade, R.D., Winn, J.N., “Photonic Crystals, Molding the flow of light”, Princeton University Press 1995 [2] Ho, K.M., Chan, C.T., Soukolis, C.M., “Existence of photonic gaps in periodic dielectric structures,” Phys.Rev.Lett. 65, p3152.