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Microelectrode Impalement Method to Record Membrane Potential from a Cannulated Middle Cerebral Artery

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Depolarizing differential Mueller matrices.

Noé Ortega-Quijano¹, José Luis Arce-Diego

¹Applied Optical Techniques Group, Electronics Technology, Systems and Automation Engineering Department, University of Cantabria, Avenida de los Castros S/N, 39005 Santander, Cantabria, Spain. ortegan@unican.es

|July 5, 2011

Summary

This study introduces nine differential Mueller matrices to model general anisotropic depolarizing media, expanding beyond the limitations of existing nondepolarizing models for polarized beam evolution.

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Area of Science:

Optics and Photonics
Mathematical Physics
Polarimetry

Background:

Mueller calculus describes polarized light evolution.
Existing differential Mueller matrices are limited to nondepolarizing media.
Nondepolarizing models account for only 7 of 16 parameters for general media.

Purpose of the Study:

To present nine differential Mueller matrices for general anisotropic depolarizing media.
To highlight the physical implications of these new matrices.
To establish relationships between differential matrices and transformation generators.

Main Methods:

Differential Mueller calculus formulation.
Development of nine differential Mueller matrices.
Application of group theory and Minkowski space transformations.

Main Results:

The nine differential Mueller matrices for general depolarizing media are presented.
Physical implications of each matrix are elucidated.
A connection between differential matrices and transformation generators in Minkowski space is established.

Conclusions:

The presented matrices offer a comprehensive model for depolarizing media.
This work extends the understanding of polarized beam evolution in complex media.
Group theory provides a framework for analyzing these optical transformations.