ISSN: 2277 – 9043 International Journal of Advanced Research in Computer Science and Electronics Engineering (IJARCSEE) Volume 2, Issue 2, February 2013 123 All Rights Reserved © 2013 IJARCSEE MATHEMATICAL MODELING OF RING RESONATOR FILTERS FOR PHOTONIC APPLICATIONS Jyoti Kedia 1 (Assistant professor), Dr. Neena Gupta 2 (Associate Professor, Member IEEE) 1,2 PEC University of Technology, Sector 12, Chandigarh Abstract: Optical Filters are crucial passive components for wavelength filtering in WDM systems for photonic networks. Micro- waveguide and fiber based ring resonators are of great interest due to their versatile functionalities and compactness. In this paper the general characteristics of serially coupled ring resonator filters are analyzed and analytically derived the optical transfer function in Z domain as a new concept. Introduction: Various photonic components, such as add-drop multiplexers and interleavers, are important in wavelength division multiplexed fiber optic networks. With increase in complexity of these systems, the demand for photonic components with smaller footprint, lower cost and low power dissipation has increased. The optical ring resonator is one such photonic component. The layout of an integrated ring resonator channel dropping filter, is described in Fig.1. An integrated optical ring resonator is a single transverse mode waveguide based device formed as a circle. Two couplers enable light to be inserted and extracted from the ring. These ring resonator based selective bandpass filters can perform functions like channel add-drop, channel selection, demultiplexing and multichannel filtering in dense wavelength division multiplexing Fig1. Integrated optical ring resonator (DWDM) systems. High stopband rejection is the most important required characteristic of these functions so that low cross talk between channels, a flat top filter response and low insertion loss can be achieved [1]. Since the single ring resonator filter is insufficiently perceptive for many important applications of DWDM systems, the serially coupled multiple ring resonator filters are required to achieve pass band with a sharper roll off, flatter top and higher out off band rejection around a resonance. The single ring resonator filters has a simple Lorentzian response. The Lorentzian reponses have a sharp peak whereas filter application require a flat top. Also in DWDM systems high selectivity filters are required waveguides Integrated optics microring Substrate