Perfect periodic photonic quasi-crystals

Robert C. Gauthier

doi:10.1117/12.769067

28 January 2008 Perfect periodic photonic quasi-crystals

Robert C. Gauthier

Proceedings Volume 6901, Photonic Crystal Materials and Devices VII; 69011F (2008) https://doi.org/10.1117/12.769067
Event: Integrated Optoelectronic Devices 2008, 2008, San Jose, California, United States

Abstract

The new term "Perfectly Periodic Photonic Quasi-Crystals" (P³QC) applies to 2-D and 3-D dielectric arrangements that posses a high rotational order about a central pivot point (standard photonic quasi-crystal) and in the same pattern posses a radial periodicity as viewed from the same central pivot point. These structures display no translational symmetry as associated with standard photonic crystals. In a 2-D structure, P³QC periodicity is observed for the polar coordinates (r, φ) and a unit cell of surface dS =rdrd θ serves as the building block of the pattern at each of the radial "Lattice Points". A generating algorithm based on orthogonal functions is used to produce many different types of P³QC patterns for latter analysis through FDTD simulations. The presence of bandgaps in the transmission spectrum for these structures is observed when the dielectric fill factor, rotational order and dielectric contrast are carefully selected. Central localized light states are commonly observed in these structures.

Citation Download Citation

Robert C. Gauthier "Perfect periodic photonic quasi-crystals", Proc. SPIE 6901, Photonic Crystal Materials and Devices VII, 69011F (28 January 2008); https://doi.org/10.1117/12.769067

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available