One-dimensional photonic crystals of inhomogeneous thin films: band structure of rugate filters

• Published in: Optics communications 2005-01, Vol.244 (1-6), p.259-267
• Main Authors: Aguayo-Ríos, F., Villa-Villa, F., Gaspar-Armenta, J.A.
• Format: Article
• Language: English
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Inhomogeneous thin films; Optical coatings; Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity); Optical constants: refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity; Optical elements, devices, and systems; Optical materials; Optical properties and condensed-matter spectroscopy and other interactions of matter with particles and radiation; Optical properties of bulk materials and thin films; Optics; Photonic bandgap materials; Photonic crystals; Physics; Rugate filters; Surface modes
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2004.09.043

The properties of one-dimensional photonic crystals of inhomogeneous thin films whose refractive index function is periodic are analyzed by using the formalism of equivalent layers. With this method it is possible to consider the so called rugate filters as single thin films with equivalent optical admittance and equivalent phase thickness functions, that provide information about their band structure, and conditions of existence of surface modes that appear when a finite rugate is in contact with any bulk media or other photonic crystal.