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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 28, Iss. 11 — Jun. 1, 1989
  • pp: 2061–2069

Circle diagrams applied to the design of thin film optical tunnel filters

Gary L. Scheidegger  »View Author Affiliations


Applied Optics, Vol. 28, Issue 11, pp. 2061-2069 (1989)
http://dx.doi.org/10.1364/AO.28.002061


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Abstract

Diagrams of complex reflectance or circle diagrams are used to design optical coatings at normal incidence. The technique can be extended to oblique incidence, including the design of coatings which take advantage of total internal reflectance. Use of these diagrams is helpful in visualizing and compensating for polarization effects in such coatings.

© 1989 Optical Society of America

History
Original Manuscript: March 18, 1988
Published: June 1, 1989

Citation
Gary L. Scheidegger, "Circle diagrams applied to the design of thin film optical tunnel filters," Appl. Opt. 28, 2061-2069 (1989)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-11-2061


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References

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  10. The fact that ρM = −ρE at critical and grazing incidence is a consequence of defining the incident and reflected unit vectors so as to make ρM = ρE at normal incidence. The unit vectors are sometimes defined so that ρM = −ρE at normal incidence; in this case, we would have ρM = ρE at critical and grazing incidence. This is important to understand because, in the later convention, the incident and reflected unit vectors point in the same direction for both polarizations at grazing incidence while in the former convention (the one used in this paper), the incident and reflected unit vectors for the TM polarization point in opposite directions. Thus, ρM = −ρE at grazing incidence is a result of reversing the positive direction for TM but not for TE; physically, there is a 180° phase shift at grazing incidence for both polarizations.
  11. E. S. Shakaryan et al., “Frustrated Total Internal Reflection Refractometry,” Opt. Mekh. Prom. 44, 47–53 (1977) [Sov. J. Opt. Technol. 44, 748–754 (1977)].
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  13. B. H. Billings, M. A. Pittman, “A Frustrated Total Reflection Filter for the Infra-Red,” J. Ot. Soc. Am. 39, 978–983 (1949). [CrossRef]
  14. B. H. Billings, “A Birefringent Frustrated Total Reflection Filter,” J. Opt. Soc. Am. 40, 471–476 (1950). [CrossRef]
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  16. H. Kitajima, K. Fujita, H. Cizmic, “Multiple Resonance FTR Filters for Nonpolarizing Bandpass Filters,” Appl. Opt. 23, 3487–3492 (1984). [CrossRef] [PubMed]
  17. P. W. Baumeister, “Optical Tunneling and Its Application to Optical Filters,” Appl. Opt. 6, 897–905 (1967). [CrossRef] [PubMed]

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