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Generalized multi-cavity laser self-mixing interferometry based on scattering theory.

Ajit Jha, Linga Reddy Cenkeramaddi, Santiago Royo

|May 9, 2023

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This summary is machine-generated.

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We developed a recursive mathematical model for multi-cavity self-mixing interference using scattering theory. This efficient model allows tuning individual cavity parameters for optimal signal visibility, applicable to biomedical sensing.

Area of Science:

Optics
Mathematical Modeling
Wave Phenomena

Background:

Self-mixing interference is crucial in various optical sensing applications.
Modeling multi-cavity systems presents computational challenges.
Scattering theory provides a framework for analyzing wave interactions.

Purpose of the Study:

To develop a generalized mathematical model for multi-cavity self-mixing.
To exploit scattering theory for recursive modeling of self-mixing interference.
To investigate the influence of individual cavity parameters on signal visibility.

Main Methods:

Utilized scattering theory to model self-mixing interference from multiple cavities.
Developed a recursive algorithm based on individual cavity parameters.

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Employed simulation and mathematical modeling to analyze results.

Main Results:

Equivalent reflection coefficient depends on attenuation and propagation constants.
Recursive model offers computational efficiency for numerous parameters.
Demonstrated tunability of cavity parameters (length, attenuation, refractive index) for optimal visibility.

Conclusions:

The proposed recursive model accurately describes multi-cavity self-mixing.
The model is computationally efficient and adaptable.
Potential applications include probing multiple diffusive media in biomedical sensing.