## Informational Limits in Optical Polarimetry and Vectorial ImagingCentral 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

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 |

231 | |

### Other editions - View all

Informational Limits in Optical Polarimetry and Vectorial Imaging Matthew R. Foreman Limited preview - 2012 |

Informational Limits in Optical Polarimetry and Vectorial Imaging Matthew R. Foreman No preview available - 2014 |

Informational Limits in Optical Polarimetry and Vectorial Imaging Matthew R. Foreman No preview available - 2012 |

### Common terms and phrases

assumed back focal plane Bayesian beam behaviour calculated coherent modes condition number considered covariance Cramér-Rao lower bound CRLB CSDM data pit Debye-Wolf integral defined denotes described detector diattenuation diffraction dipole disc discussed DOAP eigenfunction electric field electromagnetic estimation example ﬁeld field components field distribution Fisher information focal region focusing Furthermore given hence illumination imaging system intensity inversion Jones Jones vector lens Lett limits Maxwell’s equations measurement microscope Mueller matrix numerical aperture optical data storage optical systems optimisation parameters partially coherent phase photons Phys plane wave Poincaré space Poincaré sphere Poisson noise polar polar decomposition polarimeter polarimetry polarisation resolution polarised light prolate spheroidal prolate spheroidal functions propagation properties random process random variable readout scalar scattered Sect signal single molecule spatial statistical Stokes parameters Stokes vector theory thesis Török transverse waveguide waveguide modes wavelengths whilst zero