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A comprehensive theoretical model for on-chip microring-based photonic fractional differentiators
Boyuan Jin1,2, Jinhui Yuan1,3, Kuiru Wang1
1State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, P.O. Box 72 (BUPT), Beijing 100876, China.
Scientific Reports
|September 19, 2015
Summary
This study introduces a new theoretical model for microring photonic fractional differentiators, accounting for time-reversal and delay effects. The model clarifies output deviations and improves the design of all-optical signal processing devices.
Area of Science:
- Photonics
- Optical Signal Processing
- Resonator Theory
Background:
- Microring-based photonic fractional differentiators are crucial for on-chip optical signal processing.
- Previous models overlooked time-reversal, time delay, and input pulse width effects.
- Existing models fail to explain output deviations for differentiation orders n > 1.
Purpose of the Study:
- To propose a comprehensive theoretical model for microring photonic fractional differentiators.
- To incorporate time-reversal, time delay, and input pulse width characteristics.
- To explain output deviations and improve differentiator design.
Main Methods:
- Modeling critically-coupled microring resonators as first-order differentiators.
- Modeling under-coupled and over-coupled resonators as time-reversed fractional differentiators.
- Analyzing fitting errors and time delay effects.
Main Results:
- Demonstrated that over-coupled resonators yield smaller fitting errors when modeled with n < 1.
- Showcased the impact of time delay on differentiator output.
- Identified key factors influencing output waveform and deviation.
Conclusions:
- The proposed theoretical model provides a more accurate representation of microring photonic fractional differentiators.
- This model aids in understanding and mitigating output deviations.
- It offers a pathway for enhanced design and application of these devices in optical signal processing.
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