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Applied Optics

Applied Optics


  • Vol. 19, Iss. 4 — Feb. 15, 1980
  • pp: 508–516

Determination of optical constants: the plane–parallel slab

G. Jungk  »View Author Affiliations

Applied Optics, Vol. 19, Issue 4, pp. 508-516 (1980)

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Methods for determining the optical constants of a thin plane–parallel slab are developed without using information from other measurements. For the ideal case (negligible absorption and thickness inhomogeneity), a purely geometrical method even avoids the use of relative intensities. The more realistic situations (weak absorption or gain and finite thickness inhomogeneity) are also discussed. The methods are used to determine the refractive index of CdS platelets below the exciton region at room temperature.

© 1980 Optical Society of America

Original Manuscript: August 22, 1979
Published: February 15, 1980

G. Jungk, "Determination of optical constants: the plane–parallel slab," Appl. Opt. 19, 508-516 (1980)

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  1. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1959).
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  6. With increasing η, however, the extreme condition approximates cos2ηz1 = −1; it is correct for φ = 0°.
  7. Equation (6) gives the linear relation with Mi,i+1=(λ/d)(n2-sin2φ0)1/2+(λ/2d)2(2i+1),φ0 = max(φi) and i = 0,1,2… corresponding to the measured extreme angles with φ0 > φ1 > φ2…. From numerical calculations we found that a least squares fit gives n and d to within 1% of the correct value if one assumes φi to be correct to within 0.1° for N ≥ 5 and 1 ≤ n ≤ 3.
  8. For strong absorption reflectivity measurements are inevitable; ellipsometric methods9–12 are clearly favored.
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  11. M. M. Gorshkov, Ellipsometry (Soviet Radio, Moscow), 1974).
  12. G. Jungk, “Ellipsometrie—eine Methode zur Untersuchung der elektronischen Struktur fester Körper,” Dissertation, Humboldt U., Berlin (1978).
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  17. In contradiction to the experimental hints one could argue that the observed deviation from Tmax = 1 is due to absorption. However, substitution of the experimental data into Eq. (31) yields n0 = 1.9 for λ = 5700 Å and φ dependent, thus demonstrating the actual influence of thickness inhomogeneities. Naturally, the assumption of the ideal behavior of Sec. II [Tmax = 1 and calculation of n from Tmin of Eq. (3)] leads to a similar incorrect value of n0 = 1.8.
  18. T. M. Bieniewski, S. J. Szyzak, J. Opt. Soc. Am. 53, 496 (1963). [CrossRef]

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