Geometry and topology in 3D polarization

Miguel A. Alonso

doi:10.1117/12.2684647

3 October 2023 Geometry and topology in 3D polarization

Miguel A. Alonso

Proceedings Volume 12690, Polarization Science and Remote Sensing XI; 1269008 (2023) https://doi.org/10.1117/12.2684647
Event: SPIE Optical Engineering + Applications, 2023, San Diego, California, United States

Abstract

This presentation will give an overview of the local description of polarization for nonparaxial light, for which all three Cartesian components of the electric field are significant. The polarization of light at each point is characterized by a three-component complex vector in the case of full polarization and by a 3×3 polarization matrix for partial polarization. Standard concepts in paraxial polarization such as the degree of polarization, the Stokes parameters, and the Poincaré sphere, have generalizations for nonparaxial light that are not unique and/or not trivial. Particular emphasis is placed on geometric interpretations and their similarities and differences with those for the paraxial regime, as well as topological features. An application of this formalism in super-resolution microscopy is presented.

Conference Presentation

Citation Download Citation

Miguel A. Alonso "Geometry and topology in 3D polarization", Proc. SPIE 12690, Polarization Science and Remote Sensing XI, 1269008 (3 October 2023); https://doi.org/10.1117/12.2684647

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available