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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
Published on: August 19, 2021
This study introduces a cyclo-stationary model for Gaussian-Schell pulses, analyzing their power spectrum. Pulse correlation was found to alter the spectrum
Area of Science:
- Optics and Photonics
- Statistical Optics
- Signal Processing
Background:
- The Gaussian-Schell (G-S) model is foundational for describing Gaussian light pulses.
- Existing research has explored non-stationary random functions for G-S pulse analysis.
- A need exists for advanced models to capture complex pulse dynamics.
Purpose of the Study:
- To develop and present a cyclo-stationary model for Gaussian-Schell pulses.
- To derive the power spectrum of the proposed cyclo-stationary G-S pulse model.
- To investigate the impact of pulse correlation on the power spectrum's characteristics.
Main Methods:
- Development of a cyclo-stationary mathematical framework for G-S pulses.
- Derivation of the power spectrum using the established cyclo-stationary model.
Main Results:
- A novel cyclo-stationary model for Gaussian-Schell pulses is successfully formulated.
- The power spectrum associated with this cyclo-stationary model has been derived.
- Pulse correlation is demonstrated to modify the Gaussian nature of the power spectrum.
Conclusions:
- The cyclo-stationary model offers a more comprehensive description of G-S pulse variations.
- Understanding pulse correlation is crucial for predicting and controlling optical pulse characteristics.
- This work advances the statistical description of non-stationary optical fields.
