Fundamentals of Photonic Crystal Guiding

Abstract

If you're looking to understand photonic crystals, this systematic, rigorous, and pedagogical introduction is a must. Here you'll find intuitive analytical and semi-analytical models applied to complex and practically relevant photonic crystal structures. You will also be shown how to use various analytical methods borrowed from quantum mechanics, such as perturbation theory, asymptotic analysis, and group theory, to investigate many of the limiting properties of photonic crystals which are otherwise difficult to rationalize using only numerical simulations. An introductory review of nonlinear guiding in photonic lattices is also presented, as are the fabrication and application of photonic crystals. In addition, end-of-chapter exercise problems with detailed analytical and numerical solutions allow you to monitor your understanding of the material presented. This accessible text is ideal for researchers and graduate students studying photonic crystals in departments of electrical engineering, physics, applied physics and mathematics.

An investigation of numerical aperture of air-core photonic bandgap fiber

“…The cell in PBF should be modeled as illustrated in Figure 1(a) [8], where the hole-to-hole distance is , the size of the hole is d, the diameter of the circle rounding the corners is d c , and here d c /d≈0.3, d/≈0.965. The bandgap is determined to a large degree by these parameters and obtained with the plane-wave expansion method (see Figure 1(b)) [9]. According to the theoretical analysis in ref.…”

Design and optimization of a low loss tapered photonic crystal waveguide structure

“…Over the last few years, intensive theoretical work has been done in the physics and applications of photonic crystals (PhC) (Joannopoulos et al 2008;Poli 2007;Sibilia 2008;Skorobogatiy 2009). …”

Theoretical approach to 3D photonic crystal structure for realization of optical mirror using bandgap analysis: A future application

“…To solve these problems, a lot of works have been carried out using different types of photonic crystal structures [1]. As far as different types of structures are concerned, one dimensional photonic crystal structures have reached at most in mature stage in their fabrication and commercial application [2]. Though two dimensional photonic crystal structures have been used for various purposes, it is at young stage and not attained the heap of mature stage so far [3].…”