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Mathematical Models for Energy Propagation in the Optical Scatter Channel

  • Chapter
Optical Channels

Part of the book series: Applications of Communications Theory ((ACTH))

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Abstract

With the basic composition of the optical scatter channel defined in Chapter 6, we can now turn to how this information is used to quantify radiance and irradiance propagation in that medium. Unfortunately, the extensive amount of material currently available on the subject prohibits our being complete and all-inclusive in one chapter of a book. Therefore, we shall limit our discussions to those mathematical approaches and results which have found, and still find, great utility in optical communication systems analysis. We will begin the chapter with a formulation of the mutual coherence function for multiple-forward-scatter media, as derived by Lutomirski.(1) This development will be discussed in terms of its physical implications and also its validity in predicting real-life phenomena. The discussion will then move into a radiative transfer analysis of energy transport in particulate media, and the basic limitations of the closed-formed solutions derived by the small-angle scattering/Huygens-Fresnel approximations will be considered. The conclusion one draws at this point is that the aforementioned techniques can provide insight and answers to optical propagation problems if used properly, but can give misleading results if not. Other mathematical techniques can then be employed if one expects channel characterizations outside the validity range of these closed-form solution sets. Some of the more useful analytical methods of this type will be highlighted and discussed. The result of this discussion will be an in-depth look at two Monte Carlo-based analyses which provide function sets of engineering equations for general atmospheric and marine communication system performance assessments. The next section of this chapter will describe three mathematical techniques which can be applied to energy transfer through the air/sea interface. The final section of this chapter will illustrate how these propagation models can be integrated to yield a total picture of radiation transport in the optical scatter channel. Throughout the chapter, comparisons between model predictions and experimental data will be made whenever possible.

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Authors and Affiliations

  1. Lutronix, Inc., San Diego, California, USA

    Sherman Karp

  2. University of Southern California, Los Angeles, California, USA

    Robert M. Gagliardi

  3. SAIC, San Diego, California, USA

    Steven E. Moran

  4. DARPA, Arlington, Virginia, USA

    Larry B. Stotts

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  1. Sherman Karp
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  2. Robert M. Gagliardi
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  3. Steven E. Moran
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  4. Larry B. Stotts
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Karp, S., Gagliardi, R.M., Moran, S.E., Stotts, L.B. (1988). Mathematical Models for Energy Propagation in the Optical Scatter Channel. In: Optical Channels. Applications of Communications Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0806-3_7

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  • DOI: https://doi.org/10.1007/978-1-4899-0806-3_7

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