Abstract

Three empirical relationships have been derived between reciprocals of pairs of partial dispersions of the ordinary optical glasses. The relationships are of the form X=a+b Y+cY2 where X and Y are variable and a, b, and c the empirical constants. a, b, and c were determined by least squares making use of the data on sixteen optical glasses manufactured by The Bausch and Lomb Optical Company. The fit obtained appears to hold within the 5th place experimental error of the index determinations. Determination of ND and Nh and the use of the three empirical relationships quoted above allows calculation of NF, NC, NG, and V in a simple manner. These relationships, however, do not apply to the barium glasses.

© 1948 Optical Society of America

Full Article  |  PDF Article

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Tables (1)

Tables Icon

Table I Showing residuals calculated from Eqs. (1), (2) and (3) (calculated minus measured values) for sixteen Bausch and Lomb ordinary optical glasses.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

X = 1 N h - N D , Y = 1 N F - N C , Z = 1 N G - N F , W = 1 N F - N D .
Y = A y + B y X + C y X 2 .
Z = A z + B z X + C z X 2 .
W = A w + B w X + C w X 2 .
A y = 1.042 , B y = 1.856416 , C y = - 0.00257167 , A z = 0.157 , B z = 2.921149 , C z = 0.00115970 , A w = 1.275 , B w = 2.571014 , C w = - 0.00262692.