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Figures (6)

Fig. 1
Fig. 1

Plot of fraction or multiple of wavelength of optical path difference (n) due to various amounts of small variations of refractive index (ΔN) vs the thickness (T) of the parallel plate of glass. The wavelength (λ) is taken as 5.5 × 10−4 mm.

Fig. 2
Fig. 2

A possible arrangement for homogeneity testing using a well-corrected lens and a plane mirror.

Fig. 3
Fig. 3

A possible arrangement for homogeneity testing using an off-axis paraboloidal mirror and a plane mirror.

Fig. 4
Fig. 4

A possible arrangement for homogeneity testing using a paraboloidal mirror on axis and a plane mirror. A small central obscuration is unavoidable.

Fig. 5
Fig. 5

Proposed arrangement for homogeneity testing using a single spherical mirror.

Fig. 6
Fig. 6

A plot of the R-number of the spherical mirror vs the thickness T of the glass plate such that the amount of the spherical aberration is insignificant.

Equations (7)

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T Δ N = n λ ,
2 T Δ N = n λ .
2 T Δ N + 2 ( N - 1 ) Δ T = n λ .
Apparent shift of center of curvature = T ( N - ) / N ,
Primary spherical aberration = T ( N 3 - 1 ) θ 4 / 4 N 3 ,
T θ 4 = 3.91 × 10 - 4 .
R - number = R / D = 3.56 T 1 / 4 .

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