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On the link between Fourier transformation and passive amplification in temporal Talbot array illuminators
Optics Letters
|May 1, 2026
Summary
We unified the theory for Temporal Talbot array illuminators (T-TAIs), linking short-time Fourier transform processing and passive amplification. This provides insights for designing T-TAI photonic signal processing systems.
Area of Science:
- Photonics
- Optical Signal Processing
- Fourier Optics
Background:
- Temporal Talbot array illuminators (T-TAIs) have been studied for separate applications.
- Existing research lacks a unified theory connecting STFT processing and passive amplification in T-TAIs.
Purpose of the Study:
- To derive a unifying analytical expression for T-TAI output.
- To establish the link between Fourier processing and passive amplification in T-TAIs.
- To provide design guidelines for T-TAI-based photonic signal processing.
Main Methods:
- Derivation of an analytical expression for T-TAI output.
- Analysis of time-frequency mapping within T-TAIs.
- Conducting proof-of-concept experiments.
Main Results:
- An analytical expression for T-TAI output was derived.
- A connection between Fourier processing and passive amplification was demonstrated through time-frequency mapping.
- Experimental validation of the theoretical framework.
Conclusions:
- The study provides a unified theory for T-TAIs, bridging STFT processing and passive amplification.
- The findings clarify T-TAI operating regimes.
- Practical design insights and guidelines for T-TAI applications in photonic signal processing are offered.
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