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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1376–1382

Analyzing the power coupled between partially coherent waveguide fields in different states of coherence

Stafford Withington and Ghassan Yassin  »View Author Affiliations

JOSA A, Vol. 19, Issue 7, pp. 1376-1382 (2002)

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A procedure is described for calculating the power coupled between partially coherent waveguide fields that are in different states of coherence. The method becomes important when it is necessary to calculate the power transferred from a distributed source <i>S</i> to a distributed load <i>L</i> through a length of multimode metallic, or dielectric, waveguide. It is shown that if the correlations between the transverse components of the electric and magnetic fields of <i>S</i> and <i>L</i> are described by coherence matrices <b>M</b> and <b>M</b><sup>′</sup>, respectively, then the normalized average power coupled between them is 〈η〉=Tr[<b>MM</b><sup>′</sup>]/Tr[<b>M</b>]Tr[<b>M</b><sup>′</sup>], where Tr denotes the trace. When the modal impedances are equal, this expression for the coupled power reduces to an equation derived in a previous paper [J. Opt. Soc. Am. A <b>18</b>, 3061 (2001)], by use of thermodynamic arguments, for the power coupled between partially coherent free-space beams.

© 2002 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.4070) Coherence and statistical optics : Modes
(030.6600) Coherence and statistical optics : Statistical optics
(040.1240) Detectors : Arrays
(040.1880) Detectors : Detection
(040.3060) Detectors : Infrared

Stafford Withington and Ghassan Yassin, "Analyzing the power coupled between partially coherent waveguide fields in different states of coherence," J. Opt. Soc. Am. A 19, 1376-1382 (2002)

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  1. M. J. Griffin, “Bolometers for far-infrared and submillimetre astronomy,” Nucl. Instrum. Methods Phys. Res. A 444, 397–403 (2000).
  2. P. L. Richards, “Bolometers for infrared and millimeter waves,” J. Appl. Phys. 76, 1–24 (1994).
  3. J. A. Murphy, “Radiation patterns of few-moded horns and condensing lightpipes,” Infrared Phys. 31, 291–299 (1991).
  4. R. Padman and J. A. Murphy, “Radiation patterns of scalar lightpipes,” Infrared Phys. 31, 441–446 (1991).
  5. R. E. Collin, Field Theory of Guided Waves (IEEE Press, New York, 1991), Chap. 5.
  6. P. F. Goldsmith, Quasioptical Systems (IEEE Press, New York, 1998), Chap. 4.
  7. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995), Chap. 3.
  8. S. Withington, G. Yassin, and J. A. Murphy, “Dyadic analysis of partially coherent submillimetre-wave antenna systems,” IEEE Trans. Antennas Propag. 49, 1226–1234 (2001).
  9. A. Wexler, “Solution of waveguide discontinuities by modal analysis,” IEEE Trans. Microwave Theory Tech. 15, 508–517 (1967).
  10. S. Withington and G. Yassin, “Power coupled between partially coherent vector fields in different states of coherence,” J. Opt. Soc. Am. A 18, 3061–3071 (2001).
  11. T. S. Maclean, Principles on Antennas: Wire Aperture (Cambridge U. Press, Cambridge, UK, 1986), Sec. 14.3.
  12. E. Wolf, “New theory of partial coherence in the space–frequency domain. Part I: spectra and cross spectra of steady-state sources,” J. Opt. Soc. Am. 72, 343–351 (1982).
  13. T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides, Vol. 43 of Electromagnetic Wave Series 4 (Institution of Electrical Engineers, London, 1977).

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