Informational Limits in Optical Polarimetry and Vectorial Imaging

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Springer Science & Business Media, Mar 23, 2012 - Technology & Engineering - 232 pages
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Central to this thesis is the characterisation and exploitation of electromagnetic properties of light in imaging and measurement systems. To this end an information theoretic approach is used to formulate a hitherto lacking, quantitative definition of polarisation resolution, and to establish fundamental precision limits in electromagnetic systems. Furthermore rigorous modelling tools are developed for propagation of arbitrary electromagnetic fields, including for example stochastic fields exhibiting properties such as partial polarisation, through high numerical aperture optics. Finally these ideas are applied to the development, characterisation and optimisation of a number of topical optical systems: polarisation imaging; multiplexed optical data storage; and single molecule measurements. The work has implications for all optical imaging systems where polarisation of light is of concern.
 

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Contents

1 Introduction
1
2 Fundamentals of Probability Theory
6
3 Information and Estimation Theory
27
4 Vectorial Optics
46
5 Information in Polarimetry
87
6 Information in Polarisation Imaging
117
7 Multiplexed Optical Data Storage MODS
162
8 Single Molecule Studies
183
9 Conclusions
205
Appendix A Some Information Theoretic Proofs
210
Appendix B Special Functions
215
B2Electromagnetic Plane Waves
220
B3Rectangular Waveguide Modes
223
References
231
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