Anomalous Phenomena and Spectral Tailoring in Photonic Crystals

Photonic crystals are recently discovered meta-materials whose optical properties arise from periodic refractive index variations. In this thesis I examine various aspects of photonic crystals including a self-assembled photonic crystal, anomalous properties arising from periodicity, and tailoring absorption and emission spectra. Fabricating photonic crystals with the desired properties in the infrared and optical frequencies, including a complete photonic bandgap, is an experimental challenge. Self-assembly can provide a solution. In Chapter 2, I examine a new type of colloidal photonic crystal of tetrahedral building blocks in a fcc lattice that is found to possess a robust and complete bandgap. In Chapter 3, I explore the photonic states that exist around a zero-group velocity point. Motivated by negative refraction, a measure of the effective wavevector is constructed that distinguishes various types of zerogroup velocity modes. Around one type of zero-group velocity mode, an anomalous region of backward effective wavevector is found that enables superior light confining properties of a mirror-less cavity. In the last two chapters I look at the problem of efficiently converting radiant energy to electrical power. In Chapter 4, I explore the extent to which ID multi-layer thin films can enhance the short circuit current of a 2 pam-thick silicon solar cell. Though such cells are limited by their size, for two front-layers a relative boost of 45% is possible. Finally, in Chapter 5, motivated by the problem of low efficiency in thermophotovoltaics, I look at selective emissivity of a 2D metallic photonic crystal. A semi-analytical theory is developed using only the material dispersion and geometrical parameters. Applications of the selective emitter, including power generation and lighting, are discussed. Thesis Supervisor: John D. Joannopoulos Title: Francis Wright Davis Professor of Physics