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Coherence Theory and Random Channels

  • Sherman Karp
  • Robert M. Gagliardi
  • Steven E. Moran
  • Larry B. Stotts
Part of the Applications of Communications Theory book series (ACTH)

Abstract

In this chapter we will introduce the concept of field coherence, which is necessary to describe fully the propagation of electromagnetic fields in both free space and nonvacuous channels. In particular, the ideas of temporal and spatial coherence will be presented together with the concept of the mutual coherence function. We will derive the equations which govern the propagation of both the field and the mutual coherence function in free space. In doing so, we will quantify the notions of monochromaticity and narrowbandedness. Finally, we will show how the presence of both nonvacuous channels and receiver optics affects the quantities defined above. Since the concepts discussed in this chapter do not relate strongly to problems in fiber transmission, those readers primarily interested in fibers can skip this chapter and proceed to Chapter 3. The concepts in this chapter lay the groundwork for subsequent introduction of generalized radiometry, which describes power flow for partially coherent fields. However, because of the specialized nature of this topic, it will be pursued in Appendix A.

Keywords

Spatial Coherence Coherence Function Source Plane Receiver Optic Coherence Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. W. Goodman, Introduction to Fourier Optics, McGraw-Hill, New York (1968).Google Scholar
  2. 2.
    M. Born and E. Wolf, Principles of Optics, Second Edition, Pergamon Press, New York (1964).Google Scholar
  3. 3.
    J. Dugundji, “Envelopes and pre-envelopes” of real waveforms, IEE Trans. Inf. Theory IT-4, 53 (1958).Google Scholar
  4. 4.
    R. M. Gagliardi and S. Karp, Optical Communications, Wiley-Interscience, New York (1976).Google Scholar
  5. 5.
    P. A. Bello, Characterization of randomly tune-variant linear channels, Section V, IEEE Trans. Commun. Systems CS-11, 360 (1963).Google Scholar

Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Sherman Karp
    • 1
  • Robert M. Gagliardi
    • 2
  • Steven E. Moran
    • 3
  • Larry B. Stotts
    • 4
  1. 1.Lutronix, Inc.San DiegoUSA
  2. 2.University of Southern CaliforniaLos AngelesUSA
  3. 3.SAICSan DiegoUSA
  4. 4.DARPAArlingtonUSA

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