Abstract

The refractive index of a particle can be determined with microscope equipment for measuring interference in transmitted light. If the path difference is several wavelengths, white illumination will be used. If the particle has strong dispersion, measurements made with white light give an apparent refractive index much higher than the true one. The apparent index is related to the group velocity of light waves in the substance in the same way that the true index is related to phase velocity. Flaky crystals of hematite showed apparent index 4.52, in agreement with theory, compared with the true ordinary index around 3.09.

© 1972 Optical Society of America

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References

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  1. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 330–333.
  2. E. S. Larsen, H. Berman, “The Microscopic Determination of the Non-Opaque Minerals,” U.S. Department of the Interior Geological Survey Bulletin 848 (Washington, D.C., 1934).

Berman, H.

E. S. Larsen, H. Berman, “The Microscopic Determination of the Non-Opaque Minerals,” U.S. Department of the Interior Geological Survey Bulletin 848 (Washington, D.C., 1934).

Larsen, E. S.

E. S. Larsen, H. Berman, “The Microscopic Determination of the Non-Opaque Minerals,” U.S. Department of the Interior Geological Survey Bulletin 848 (Washington, D.C., 1934).

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 330–333.

Other

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), pp. 330–333.

E. S. Larsen, H. Berman, “The Microscopic Determination of the Non-Opaque Minerals,” U.S. Department of the Interior Geological Survey Bulletin 848 (Washington, D.C., 1934).

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Tables (1)

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Table I Measurements of Hematite Crystals in Air

Equations (13)

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T ( n 1 - m 1 λ 1 - n 2 - m 2 λ 2 ) = S 1 λ 1 - S 2 λ 2 .
n 2 = m 2 + S 2 T + λ 2 Δ n Δ λ - λ 2 Δ m Δ λ - λ 2 Δ S T Δ λ .
n = m + S T + λ d n d λ - λ d m d λ - λ d S T d λ .
n 0 = m + S / T .
n = n 0 + ( λ d n / d λ ) = n 0 - ( ν d n / d ν ) .
n = c / v .
n 0 = c / u .
u = d ν / [ d ( ν / v ) ] ,
1 / u = ( 1 / v ) + [ ν d ( 1 / v ) ] / d ν .
n 0 = n - ( λ d n / d λ ) + ( S / T ) · ( λ d S / S d λ ) .
λ Δ n / Δ λ = - [ ( 671 × 0.21 ) / 82 ] = - 1.72.
λ d S / S d λ = - 0.083.
n 0 = 3.09 + 1.72 - 3.52 × 0.083 = 4.52.

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