Crisscrossed Coupled-Ring Reflector and Possible Applications

Date of Award

5-1-2023

Document Type

Thesis

Degree Name

Master of Science in Physics

First Advisor

Benjamin B. Dingel, PhDJoel T. Maquiling, PhD

Abstract

The reflected and transmitted signal of the lossless Crisscrossed Coupled-Ring Reflector (X-CRR) were studied using scattering matrix formalism and Ansys-Lumerical MODE. The analytical expressions for the complex electric field, intensity, phase response, group delay, and dispersion of the output signals were derived and simplified. The general intensity response characteristics of the X-CRR under asymmetric ring-to-bus coupling were also described, where three (3) critical parameter conditions were derived. The implication of the symmetric ring-to-bus cross-coupling in the group delay and dispersion of X-CRR were also investigated here for the first time. The two (2) analytical differences between the X-CRR and CRR were highlighted and their respective reflected signal behaviors under symmetric ring-to-bus coupling were compared. The X-CRR was also demonstrated to mimic the CRR behavior in all the physical properties considered. Furthermore, the following X-CRR properties were identified: (i) sensitivity of three (3) reflectivity features; (ii) induced transparency; (iii) ‘slow-light’, ‘fast-light’, and ‘ultraslow-light’ propagation; (iv) flipping property; and (v) flat and spiky dispersion. These properties were proposed to be useful in different applications such as in telecommunication, signal processing, delay lines, and dispersion compensators. Lastly, the initial implementation of X-CRR in Ansys-Lumerical MODE was presented and analyzed, where the propagation of light and the presence of loss inside the X-CRR were observed. The differences between the software and the theoretical analysis in terms of the considered X-CRR geometry and output intensity measurements were elucidated. Such observations will be helpful in further optimizing the X-CRR design for fabrication and testing.

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