Abstract

The interaction between light and matter is studied thoroughly by means of the quantum theory. On the basis of it, the refractive indices of types of optical materials are calculated by several formerly experienced formulas. Finally a new, tested approximate formula with the highest calculated accuracy is obtained, and some groups of valuable parameters are given.

© 1996 Optical Society of America

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References

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  1. M. Born, E. Wolf, Principles of Optics (Pergamon, London1959), p. 86.
  2. L. Jing, “Study of UV refractive index measuring methods of transparent optical materials,” M. S. thesis (Shanghai Institute of Optics and Fine Mechanics, Academia Sinica, Shanghia, China, 1995), Chap. 5, pp. 80–100.
  3. L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

1995 (1)

L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

Anmin, J.

L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, London1959), p. 86.

Haiying, J.

L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

Jing, L.

L. Jing, “Study of UV refractive index measuring methods of transparent optical materials,” M. S. thesis (Shanghai Institute of Optics and Fine Mechanics, Academia Sinica, Shanghia, China, 1995), Chap. 5, pp. 80–100.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, London1959), p. 86.

Xishan, L.

L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

Acta Opt. Sinica (1)

L. Xishan, J. Haiying, J. Anmin, “Dispersion measurement of optical glass and discussion of the approximate calculation method,” Acta Opt. Sinica 15, 206–211 (1995).

Other (2)

M. Born, E. Wolf, Principles of Optics (Pergamon, London1959), p. 86.

L. Jing, “Study of UV refractive index measuring methods of transparent optical materials,” M. S. thesis (Shanghai Institute of Optics and Fine Mechanics, Academia Sinica, Shanghia, China, 1995), Chap. 5, pp. 80–100.

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Figures (2)

Fig. 1
Fig. 1

Refractive-index curve for NaCl. Experimental values are represented by squares, and calculated values by triangles.

Fig. 2
Fig. 2

Refractive-index curve for BaF2. Experimental values are represented by squares, and calculated values by triangles.

Tables (4)

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Table 1 Results of Calculations with Eq. (4) for BaF2 Samples a

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Table 2 Fitted Accuracy and Coefficients Used with Eq. (4) Calculations a for BaF2

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Table 3 Results of Calculations with Eq. (4) for NaCl Sample a

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Table 4 Fitted Accuracy and Coefficients Used with Eq. (4) Calculations a for NaCl

Equations (4)

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n r ( ω ) = 1 + c π i a i ω i 2 ω 2 .
n 2 1 = i A i λ 2 λ 2 λ i 2 ,
n λ 2 = a 0 + a 1 λ 2 + a 2 λ 2 + a 3 λ 4 + a 4 λ 6 + a 5 λ 8 .
n λ = A λ 4 + B λ 2 + C + D λ 2 + E λ 4 + F λ 6 + G λ 8 ,

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