Bloch analysis of finite periodic microring chains

• Published in: Applied physics. B, Lasers and optics Vol. 80; no. 1; pp. 109 - 113
• Main Author: CHERCHI, M
• Format: Journal Article
• Language: English
• Published: Berlin Springer 2005
• Subjects: Applied sciences; Cascading; Circuit properties; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Exact solutions; Fundamental areas of phenomenology (including applications); Gain; Integrated optics. Optical fibers and wave guides; Laser optical systems: design and operation; Lasers; Mathematical analysis; Optical and optoelectronic circuits; Optics; Other integrated-optical elements and systems; Physics; Reflection; Resonators; Resonators, cavities, amplifiers, arrays, and rings; Matrix diagonalization; Integrated optics; Transfer matrix; Optical microcavity; Ring resonator; Theoretical study; Boundary conditions; Ring network; Arrays; Periodic structures
• ISSN: 0946-2171; 1432-0649
• DOI: 10.1007/s00340-004-1671-7

We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows one to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To gain more physical insight we have analyzed the main features of the transmission resonances in a finite chain and we have given some hints for their experimental verification .