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Amplified double-coupler double-ring optical resonators with negative optical gain.

le N Binh, S F Luk, N Q Ngo

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This study analyzes double-coupler, double-ring optical resonators in negative-gain optical amplifiers. The research reveals unique design features for optical filtering applications using signal-flow graphs and z-transform analysis.

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Area of Science:

Photonics and Optical Engineering
Signal Processing

Background:

Optical resonators are crucial components in photonic integrated circuits.
Negative gain in optical amplifiers presents unique challenges and opportunities for resonator design.

Purpose of the Study:

To analyze double-coupler, double-ring optical resonators integrated with negative-gain optical amplifiers.
To explore novel design methodologies for optical filtering applications.

Main Methods:

Utilized a unique signal-flow graph representation for the resonators.
Employed z-transform variables for sampled optical signals.
Obtained optical transfer functions using a graphical technique.

Main Results:

Characterized the poles and zeroes of the transfer functions in the z-plane.
Identified unique design features derived from the pole-zero analysis.
Demonstrated the applicability of these resonators for optical filtering.

Conclusions:

The analysis provides a systematic approach to designing optical resonators for filtering.
The findings highlight the potential of double-coupler, double-ring configurations in negative-gain amplifiers.
This work contributes to the advancement of tunable optical filters and signal processing.