Title :
General ring-resonator analysis and characterization by characteristic matrix
Author :
Chen, Wei ; Wang, Zhipeng ; Chen, Wenlu ; Chen, Yung-Jui
Author_Institution :
Dept. of Comput. Sci. & Electr. Eng., Univ. of Maryland, Baltimore, MD, USA
Abstract :
In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason´s rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths´ transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits.
Keywords :
matrix algebra; optical planar waveguides; optical resonators; optical transfer function; optical waveguide filters; optical waveguide theory; Mason rule; characteristic matrix; ring-resonator analysis; transfer function; Circuits; Lattices; Optical devices; Optical feedback; Optical filters; Optical interferometry; Optical ring resonators; Optical waveguides; Transfer functions; Transmission line matrix methods; Microresonators; optical filters; ring resonators;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2004.838858
