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Theoretical Statistical Optics

by Korotkova Olga

A mathematical framework for random light

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AlbakiReads Editorial

A mathematical framework for random light

Korotkova surveys theoretical statistical optics through the behavior and control of random light. The material connects models of stationary and pulsed sources with propagation, interaction with optical systems and media, and the formation of images. It also relates statistical descriptions to four experiments involving field interference, intensity interferometry, and phase conjugation. Later topics include polarization analysis using Stokes–Mueller calculus, three imaging approaches, and scattering in settings ranging from particulate collections to turbulent-like natural media such as the atmosphere, oceans, and soft biological tissues. The scope bridges foundational mathematical treatment and applications in imaging, communication, and remote sensing.

Good fit for readers who enjoy

  • Readers seeking a technical monograph on statistical optics and mathematical models of light.
  • Students or specialists interested in imaging, polarization optics, scattering, or light propagation through complex media.
  • Readers studying optical applications in communication, remote sensing, and biological or environmental media.

Themes

Statistical optics and random lightOptical imaging and polarizationLight scattering and propagation through complex mediaMathematical modeling of optical systems

Based on publisher information and book metadata.

Book overview

This monograph overviews classic and recent developments in theoretical statistical optics in connection with stationary and non-stationary (pulsed) optical source characterization and modeling, discusses various phenomena occurring with random light propagating in free space, on its interaction with optical systems, extended media and particulate collections. The text includes scalar, beam-like and general electromagnetic treatment of light. A brief statistical description of four fundamental experiments relating to random light: spatial and temporal field interference, intensity interferometry and phase conjugation, is also included in order to relate the analytical descriptions with practical observations.

 

Rigorous mathematical methods for statistical manipulation of light sources useful for remote shaping of its various average properties, enhanced image resolution, optimized transmission in random media and for other applications are introduced. For illustration of efficient ways for manipulation of light polarization the generalized Stokes-Mueller calculus is applied for description of interaction of beam-like fields with classic and currently popular devices of polarization optics, including a spatial light modulator.

 

Random light plays a special role in the image formation process. Three imaging modalities including the classic intensity-based system with structured source correlations, the polarization-based imaging system and the ghost interference approach are discussed in detail.

 

Theoretical aspects of potential scattering of light from weakly scattering media are considered under a very broad range of assumptions: scalar/electromagnetic incident light, deterministic/random light/media, single/particulate media. Then, problems and methods in light characterization on interaction with extended, turbulent-like natural media, such as the Earth's atmosphere, oceans and soft bio-tissues that are currently widely used for communication, remote sensing and imaging purposes in these media, are provided.

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