Abstract

According to the theory of scattering and absorption of light, an anisotropic Ag colloid particle, which is small compared with the wavelength of the incident light, absorbs light differently in different directions. The underlying mechanism is regarded as electron plasma resonance. The optical anisotropy of a single Ag particle or of a group of the same particles has been analyzed. An equation for estimating the distribution of the particle shapes in space is proposed. Based on this equation and the work of other researchers, a program was designed to calculate the major principal transmittance and the minor principal transmittance of Ag-doped polarizing glass. The results show that the polarizing property of glass with particles with different aspect ratios is better than that of glass with identical particles. Also, the effective wavelength range is different if the particles’ aspect ratios change, and this range tends to narrow as the parameter R (the rate of change of the aspect ratio) is increased.

© 2002 Optical Society of America

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References

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    [CrossRef] [PubMed]
  2. D. C. Skillman and C. R. Berry, J. Chem. Phys. 48, 3297 (1968).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  8. M. Taylor and G. Bucher, Proc. SPIE 1166, 446 (1989).
    [CrossRef]
  9. M. P. Taylor, New Glass 7, 108 (1992).
  10. A. Okada, New Glass 12, 42 (1997).
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    [CrossRef]
  12. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998).
    [CrossRef]
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    [CrossRef]
  14. R. H. Morriss and L. F. Collins, J. Chem. Phys. 41, 3357 (1964).

1998

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998).
[CrossRef]

1997

A. Okada, New Glass 12, 42 (1997).

1992

M. P. Taylor, New Glass 7, 108 (1992).

1989

M. Taylor, Proc. SPIE 1128, 186 (1989).
[CrossRef]

M. Taylor and G. Bucher, Proc. SPIE 1166, 446 (1989).
[CrossRef]

1987

D. N. Gritz, Proc. SPIE 750, 18 (1987).
[CrossRef]

1980

T. P. Seward, J. Non-Cryst. Solids 40, 499 (1980).
[CrossRef]

1979

N. F. Borrelli, J. B. Chodak, and G. B. Hares, J. Appl. Phys. 50, 5978 (1979).
[CrossRef]

1977

Y. Kimura, R. Kikuchi, and T. Kawamoto, Phys. Chem. Glasses 18, 96 (1977).

1968

D. C. Skillman and C. R. Berry, J. Chem. Phys. 48, 3297 (1968).

S. D. Stookey and R. J. Araujo, Appl. Opt. 7, 777 (1968).
[CrossRef] [PubMed]

1964

R. H. Morriss and L. F. Collins, J. Chem. Phys. 41, 3357 (1964).

1961

E. A. Taft and H. R. Philipp, Phys. Rev. 121, 1100 (1961).
[CrossRef]

Araujo, R. J.

Berry, C. R.

D. C. Skillman and C. R. Berry, J. Chem. Phys. 48, 3297 (1968).

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998).
[CrossRef]

Borrelli, N. F.

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

N. F. Borrelli, J. B. Chodak, and G. B. Hares, J. Appl. Phys. 50, 5978 (1979).
[CrossRef]

Bucher, G.

M. Taylor and G. Bucher, Proc. SPIE 1166, 446 (1989).
[CrossRef]

Chodak, J. B.

N. F. Borrelli, J. B. Chodak, and G. B. Hares, J. Appl. Phys. 50, 5978 (1979).
[CrossRef]

Collins, L. F.

R. H. Morriss and L. F. Collins, J. Chem. Phys. 41, 3357 (1964).

Fagherazzi, G.

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

Gritz, D. N.

D. N. Gritz, Proc. SPIE 750, 18 (1987).
[CrossRef]

Hares, G. B.

N. F. Borrelli, J. B. Chodak, and G. B. Hares, J. Appl. Phys. 50, 5978 (1979).
[CrossRef]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998).
[CrossRef]

Kawamoto, T.

Y. Kimura, R. Kikuchi, and T. Kawamoto, Phys. Chem. Glasses 18, 96 (1977).

Kikuchi, R.

Y. Kimura, R. Kikuchi, and T. Kawamoto, Phys. Chem. Glasses 18, 96 (1977).

Kimura, Y.

Y. Kimura, R. Kikuchi, and T. Kawamoto, Phys. Chem. Glasses 18, 96 (1977).

Morriss, R. H.

R. H. Morriss and L. F. Collins, J. Chem. Phys. 41, 3357 (1964).

Okada, A.

A. Okada, New Glass 12, 42 (1997).

Philipp, H. R.

E. A. Taft and H. R. Philipp, Phys. Rev. 121, 1100 (1961).
[CrossRef]

Polizzi, S.

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

Riello, P.

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

Seward, T. P.

T. P. Seward, J. Non-Cryst. Solids 40, 499 (1980).
[CrossRef]

Skillman, D. C.

D. C. Skillman and C. R. Berry, J. Chem. Phys. 48, 3297 (1968).

Stookey, S. D.

Taft, E. A.

E. A. Taft and H. R. Philipp, Phys. Rev. 121, 1100 (1961).
[CrossRef]

Taylor, M.

M. Taylor, Proc. SPIE 1128, 186 (1989).
[CrossRef]

M. Taylor and G. Bucher, Proc. SPIE 1166, 446 (1989).
[CrossRef]

Taylor, M. P.

M. P. Taylor, New Glass 7, 108 (1992).

Appl. Opt.

J. Appl. Phys.

N. F. Borrelli, J. B. Chodak, and G. B. Hares, J. Appl. Phys. 50, 5978 (1979).
[CrossRef]

J. Chem. Phys.

D. C. Skillman and C. R. Berry, J. Chem. Phys. 48, 3297 (1968).

R. H. Morriss and L. F. Collins, J. Chem. Phys. 41, 3357 (1964).

J. Non-Cryst. Solids

S. Polizzi, P. Riello, G. Fagherazzi, and N. F. Borrelli, J. Non-Cryst. Solids 232–234, 147 (1998).
[CrossRef]

T. P. Seward, J. Non-Cryst. Solids 40, 499 (1980).
[CrossRef]

New Glass

M. P. Taylor, New Glass 7, 108 (1992).

A. Okada, New Glass 12, 42 (1997).

Phys. Chem. Glasses

Y. Kimura, R. Kikuchi, and T. Kawamoto, Phys. Chem. Glasses 18, 96 (1977).

Phys. Rev.

E. A. Taft and H. R. Philipp, Phys. Rev. 121, 1100 (1961).
[CrossRef]

Proc. SPIE

D. N. Gritz, Proc. SPIE 750, 18 (1987).
[CrossRef]

M. Taylor, Proc. SPIE 1128, 186 (1989).
[CrossRef]

M. Taylor and G. Bucher, Proc. SPIE 1166, 446 (1989).
[CrossRef]

Other

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

k1 of samples A and B.

Fig. 2
Fig. 2

k2 of samples A and B.

Fig. 3
Fig. 3

k1 of samples B–D.

Fig. 4
Fig. 4

k2 of samples B–D.

Equations (8)

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

It=Ii exp-αexth,
αext=NCext,
α=jNjCext,j,
Cext,j=Cabs,j=k ImPj,
Pj,a=4πabc1-m3m+3Lj,a1-m,
Lj,a=abc20dqa2+qfq,
Lj,a=1m2-1m2m2-11/2×lnm+m2-11/2m-m2-11/2-1,
m=Rvx,

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