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Basics of Multivariate Analysis in Neuroimaging Data

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Partially correlated thin annular sources: the vectorial case.

M Santarsiero¹, V Ramírez-Sánchez, R Borghi

¹Dipartimento di Fisica, Università degli Studi Roma Tre and CNISM, via della Vasca Navale 84, 00146 Rome, Italy. santarsiero@fis.uniroma3.it

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|May 29, 2010

Summary

This study presents an electromagnetic analysis for partially correlated thin annular sources. It details how to find the modal expansion and discusses correlation changes during propagation.

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Area of Science:

Electromagnetism
Optics
Wave Propagation

Background:

Partially correlated sources are crucial in various optical phenomena.
Understanding the behavior of annular sources is important for applications in beam shaping and imaging.

Purpose of the Study:

To develop a comprehensive electromagnetic analysis for partially correlated thin annular sources.
To investigate the modal expansion and correlation changes of these sources during free propagation.

Main Methods:

Developing an electromagnetic model for partially correlated thin annular sources.
Assuming correlation matrix elements depend solely on angular separation.
Deriving the modal expansion for such sources.

Main Results:

A method for finding the modal expansion of partially correlated thin annular sources is established.
The study analyzes how correlations evolve during free-space propagation.
Examples and potential synthesis schemes are provided.

Conclusions:

The developed analysis provides a framework for understanding and synthesizing partially correlated thin annular sources.
The findings contribute to the field of electromagnetic wave propagation and source correlation theory.