Coupling of modes analysis of resonant channel add-drop filters

Abstract

Abstract-The operation principle of resonant channel add-drop filters based on degenerate symmetric and antisymmetric standing-wave modes has been described elsewhere using group theoretical arguments. In this paper, the analysis is carried out using coupling of modes in time. A possible implementation of such a filter is a four-port system utilizing a pair of identical single-mode standing wave resonators. The analysis allows a simple derivation of the constraints imposed on the design parameters in order to establish degeneracy. Numerical simulations of wave propagation through such a filter are also shown, as idealized by a two-dimensional geometry.

Efficient Modulation of 1.55 μm Radiation with Gated Graphene on a Silicon Microring Resonator

“…From this model, together with the coupled mode theory, 28 we determined the intrinsic quality factor Figure 2b and Figure 2c, respectively. Here, λ 0 is the resonance wavelength, R is the ring radius, and n g is the group index of the cavity.…”

Chains of coupled square dielectric optical microcavities

“…To allow for some better chance of an also quantitative comparison we choose a set of parameters similar to Refs. Manolatou et al (1999);Lohmeyer (2002) with even higher refractive index contrast, such that losses can be expected to have a less significant influence. We shall see that the observations from the HCMT/QUEP comparison lead to an interpretation that applies also to the spectral features found in Sect.…”

“…5 adhere to the scheme stated for standing wave resonators in Manolatou et al (1999): Off resonance, the input power merely travels down the input bus waveguide, here to output port B. At resonance, a certain part of this input excites the field in the cavity, which in turn distributes this power equally among the four output ports, where in ports A and B superpositions with the incoming/the directly transmitted waves are present.…”

Micro-Optical Resonators for Microlasers and Integrated Optoelectronics

“…However, the accuracy of such methods is clearly not adequate for studying the modal spectra of microresonators whose dimensions are of the order of an optical wavelength. Among other popular first-order numerical tools for the microresonator design are: algorithms based on the Coupled Mode Theory (Yariv, 1973;Little, 1997;Manolatou, 1999;Chin, 1998, Hammer, 2002, which are able to provide fast initial designs of waveguide-coupled circular and square microdisk resonators; and the Spectral Index method (Greedy, 2000), which has been successfully applied to study the WG mode characteristics of highindex-contrast circular microdisk resonators mounted on substrates (Fig. 10).…”

“…Along with circular microdisk resonators, cavities of elliptical (Noeckel, 1994;Backes, 1999;, quadrupolar (Noeckel, 1994;Gmachl, 1998;Fukushima, 2004;Gianordoli, 2000;Chin, 1999) and square (Poon, 2001;Ling, 2003;Manolatou, 1999;Hammer, 2002;Fong, 2003; shapes have attracted much interest. Depending on their size and degree of deformation, these microresonators can support several types of optical modes with significantly different Q-factors, near-field intensity distributions, and emission patterns (WG-like modes in square resonators (Fig.…”