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26
-
-
84894012056
-
-
note
-
[x] is defined as the greatest integer that is ≤x (the step function).
-
-
-
-
27
-
-
84893985601
-
-
note
-
A domain [a, b] is divided into a sequence D(i) of disconnected subdomains if ∪D(i) = [a, b] and D(i) ∩(j) = {} ∀i ≤ j. Rearrangement may be ascending or descending.
-
-
-
-
28
-
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84893992564
-
-
note
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1 = 1.
-
-
-
-
29
-
-
84894002997
-
-
note
-
1/2) dφ.
-
-
-
-
30
-
-
84894004659
-
-
note
-
1) the ratio of any term to the one before in the sequence of Eq. (39) is less than unity. Hence it is a convergent sequence.
-
-
-
-
31
-
-
84893998182
-
-
note
-
In general, a domain is called m simply connected if the boundary of the same consists of m distinct boundaries.
-
-
-
-
32
-
-
84894001999
-
-
note
-
A singular point of a function is isolated if the function is analytic at each point in some deleted neighborhood of that point.
-
-
-
-
33
-
-
84894001946
-
-
note
-
A limit of a function f(x) at a point x = ξexists if and only if limf(x)x→ξ-0 = limf(x)x→ξ+0 = f(ξ).
-
-
-
-
34
-
-
84893994996
-
-
note
-
The cases of internal and total reflection at any or both of ambient-film and film-substrate interfaces are, however, beyond the scope of this paper and are considered elsewhere.
-
-
-
-
35
-
-
84893995286
-
-
note
-
A binary relation ℛ on a set is called an equivalence relation on τ provided the following three properties hold: (1) For all a ετ, (a, a) ε ℛ. (2) For all a and b in τ, if (a, b) ε ℛ, then (b, a) ε ℛ. (3) For all a, b, and c in τ, if (a, b) ε ℛ and (b, c) ε ℛ, then (a, c) ε ℛ. A relation that satisfies (1) is called reflexive. A relation that satisfies (2) is called symmetric. A relation that satisfies (3) is called transitive.
-
-
-
-
36
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84975576274
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On the calculation of thin-film refractive index and thickness by ellipsometry
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rφ is described in detail in Refs. 3, 4, and 14. See also, D. A. Holmes, "On the calculation of thin-film refractive index and thickness by ellipsometry," Appl. Opt. 6, 168-169 (1967).
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37
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0016660424
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Polarizer-surface-analyzer null ellipsometry for film-substrate systems
-
One of the possible experimental techniques for scanning the A behavior of the ρ-CTC is to use the polarizer-surface-analyzer null ellipsometry described in detail in R. M. A. Azzam, A.-R. M. Zaghloul, and N. M. Bashara, "Polarizer-surface-analyzer null ellipsometry for film-substrate systems," J. Opt. Soc. Am. 65, 1464-1471 (1975).
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23444440615
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Design of reflection retarders by use of nonnegative film-substrate systems
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29144482027
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A. R. M. Zaghloul, M. Elshazly-Zaghloul, W. A. Berzett, and D. A. Keeling, "Thin-film coatings: An ellipsometric function approach I. Nonnegative transmission systems, polarization devices, coatings, and closed-form design formulas," submitted to J. Opt. Soc. Am. A.
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84975633842
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