Table I
The calculation of the refractive index, n0, and of the thickness, d, of a thin interference film on glass by the general method.
n = 1.5687 | | | λ = 5893A |
---|
Measured φ = 70°00.0′, ψ = 29°04.0′, Δ = +11°52.5′ |
---|
|
---|
n0 | 1.3500 | 1.3700 | 1.3900 |
---|
sinr | 0.59903 | 0.59903 | 0.59903 |
r | 36°48′04″ | 36°48′04″ | 36°48′04″ |
sinj | 0.69608 | 0.68592 | 0.67605 |
j | 44°06′47″ | 43°18′28″ | 42°32′09″ |
φ − j | 25°53′13″ | 26°41′32″ | 27°27′51″ |
φ + j | 114°06′47″ | 113°18′28″ | 112°32′09″ |
j − r | 7018′43″ | 6°30′24″ | 5°44′05″ |
j + r | 80°54′51″ | 80°06′32″ | 79°20′13″ |
j + r | −0.21723 | −0.21661 | −0.21568 |
rs′ | −0.47833 | −0.48910 | −0.49932 |
rp″ | 0.020520 | 0.019887 | 0.018909 |
rs″ | −0.12889 | −0.11503 | −0.10168 |
f | 0.047603 | 0.047315 | 0.046874 |
g | 1.0000199 | 1.0000186 | 1.0000166 |
h | −0.0089146 | −0.0086154 | −0.0081562 |
f′ | 0.24541 | 0.25245 | 0.25966 |
g′ | 1.00380 | 1.00317 | 1.00258 |
h′ | 0.12330 | 0.11252 | 0.10154 |
ψ | 29°04′00″ | 29°04′00″ | 29°04′00″ |
tanψ | 0.55583 | 0.55583 | 0.55583 |
tan2ψ | 0.30894 | 0.30894 | 0.30894 |
1 − tan2ψ | 0.69106 | 0.69106 | 0.69106 |
a | −0.00075962 | −0.00066993 | −0.00057234 |
b | −0.040498 | −0.037408 | −0.034134 |
c | −0.028035 | −0.030530 | −0.033226 |
cosx | −0.70168 | −0.82770 | −0.98980 |
x | 134°33′41″ | 145°51′45″ | 171°48′30″ |
sinx | 0.71250 | 0.56119 | 0.14249 |
A | −0.23239 | −0.23393 | −0.23534 |
A′ | −0.37515 | −0.37760 | −0.37876 |
B | −0.013931 | −0.010637 | −0.0025689 |
B′ | −0.070820 | −0.049110 | −0.010876 |
tanΔ | 0.25156 | 0.17656 | 0.039641 |
Δ | 14°07.0′ | 10°01.0′ | 2°16.0′ |
cosj | 0.71798 | 0.72768 | 0.73685 |
d mm | 1.1362·10−4 | 1.1976·10−4 | 1.3666·104 |
By the graphical interpolation (
Fig. 1)
n0 = 1.3632,
d = 1.170·10
−4 mm.
Table II
The calculation of the refractive index, n0, and of the thickness, d, of a thin interference film on glass from the principal angle of incidence.
n = 1.7393 | | | | λ = 5893A |
---|
Measured φ0 =52°20.0′, 70 = +7°56.0′ |
---|
n0 | 1.4650 | 1.4700 | 1.4750 | 1.4800 |
γ0 | +8°30.0′ | +8°06.5′ | +7°42.5′ | +7°18.0′ |
d mm | 9.083·10−5 | 9.114·10−5 | 9.154·10−5 | 9.204·10−5 |
By the graphical interpolation
n0 = 1.4721,
d = 9.131·10
−5 mm.
Table III
The calculation of the refractive index, n0, and of the thickness, d, of a thin interference film on glass from the minimum of the reflection.
n = 1.7393 | | | | λ = 5893A |
---|
Measured φmin = 48°36.0′ χ − 90° = −1°26.5′ |
---|
n0 | 1.4700 | 1.4750 | 1.4800 | 1.4850 |
χmin − 90° | −0°18.5′ | −0°52.5′ | −1°26.5′ | −1°58.0′ |
By the interpolation
n0 = 1.4800.