Journal of The Gemmological Society of Japan
Online ISSN : 2189-8413
Print ISSN : 0385-5090
ISSN-L : 0385-5090
Elucidation of F-Value, in Relation to the Angle and Direction of Incident Ray (Supplement)
Masaki Kato
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1997 Volume 22 Issue 1-4 Pages 20-25

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Abstract

This is a supplement of two previous papers (1, 2). In this paper, the pavilion angle is changed to 40°or 43° (Fig. 16, 17, 18, 19) and compared with the case of 40. 75°treated in (1, 2). The small crossing areas of some graphical curves move before and behind from σ_1 (70°) or F'_1 -Value (approximate 1) by a small change of pavilion angles. The graphical curves of reflection angles θ_1 and θ_2 on the pavilions (40. 75°) chart is shown in Fig. 20. With the same refractive angles (r_1, r'_1), the same optical path chart of inner pavilion is obtained for different refractive indexes. The incident angle of Quartz (n=1.55) is calculated using Diamond refractive angle. Fig. 21 is obtained utilizing the Diamond data. Since the effect of optical path and its F_1'-Value are now illustrated on the three-dimensional space, it is expected that four-dimensional illustration and simulation of Diamond scintillation with timelags. are now within the scope of reality.

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© 1997 The Gemmological Society of Japan
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