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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 1 — Jan. 1, 2008
  • pp: 80–89

Gaussian-beam mode analysis of reflection and transmission in multilayer dielectrics

Timothy J. Finn, Neil A. Trappe, and J. Anthony Murphy  »View Author Affiliations

JOSA A, Vol. 25, Issue 1, pp. 80-89 (2008)

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The analysis of reflections from thin films or dielectric materials can be approached by a matrix method that treats any thin-layer device as a cascade of sequential, zero-thickness reflecting thin-layer surfaces [J. Opt. Soc. Am. A 2, 1363 (1985)] . Our paper presents an alternative method for predicting the reflection/transmission characteristics of such dielectric films in a Fabry–Perot interferometer configuration based on a Gaussian-beam modal analysis within a scattering-matrix framework [in Proceedings of IEE 7th International Conference on Antennas and Propagation (IEE, 1991), Issue 15, p. 201.] We present and validate a scalar Gaussian-beam modal scattering-matrix approach using long-wavelength examples, where diffraction effects are important to model total transmission and reflection characteristics that also include a waveguide modal description of a corrugated horn. For optical beams the same technique is equally applicable, but diffraction is less severe within this framework. This approach is flexible and has many applications within laser optics and in far-infrared or submillimeter-instrumentation optical analysis, where it is possible to incorporate reflections in both waveguide and free space within the description of a whole system. To conclude and verify the accuracy of the technique, experimental measurements taken at 94 GHz are compared with theoretical predictions for a dielectric cavity of polyethylene sheets between corrugated source and detector antennas.

© 2008 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.2230) Diffraction and gratings : Fabry-Perot
(230.5750) Optical devices : Resonators
(260.3090) Physical optics : Infrared, far
(260.3160) Physical optics : Interference
(310.0310) Thin films : Thin films

ToC Category:
Thin Films

Original Manuscript: July 23, 2007
Manuscript Accepted: October 3, 2007
Published: December 7, 2007

Timothy J. Finn, Neil A. Trappe, and J. Anthony Murphy, "Gaussian-beam mode analysis of reflection and transmission in multilayer dielectrics," J. Opt. Soc. Am. A 25, 80-89 (2008)

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  1. J. A. Murphy, N. Trappe, and S. Withington, "Gaussian beam mode analysis of partial reflections in simple quasi-optical systems fed by horn antennas," Infrared Phys. Technol. 44, 289-297 (2003). [CrossRef]
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