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Nonstationary elementary-field light randomly triggered by Poisson impulses
1Department of Communications Engineering, University Miguel Hernández, Elche E03202, Spain. c.pousa@umh.es
Summary
A new stochastic theory models nonstationary light as random elementary pulse emissions. This framework unifies various light types and analyzes coherence properties for advanced optical research.
Area of Science:
- Quantum Optics
- Statistical Optics
- Photonics
Background:
- Nonstationary light sources present challenges for traditional optical theories.
- Understanding the statistical properties of light is crucial for many applications.
Purpose of the Study:
- To develop a comprehensive stochastic theory for nonstationary light.
- To unify the description of various light states, including stationary and pulsed radiation.
- To analyze the coherence properties and statistical behavior of nonstationary light.
Main Methods:
- Modeling light emission as a nonhomogeneous Poisson point process.
- Utilizing characteristic functions to compute correlation functions.
- Solving first- and second-order coherence theories.
Main Results:
- The theory encompasses stationary, cyclostationary, locally stationary, and pulsed radiation.
- It reduces to Gaussian theory for dense emission rates.
- Ergodicity of second-order correlations was explored for different detectors.
Conclusions:
- The presented stochastic theory provides a unified framework for nonstationary light.
- It enables detailed analysis of optical spectra and correlation functions.
- The model offers insights into the fundamental statistical properties of light.
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