Abstract

The relationships between the refractive-index and material dispersion of fluoride glasses and their compositions have been studied. A set of parameters was established that can be used to calculate approximately the refractive-index and material dispersion of fluoride glasses. The calculated and measured results agree well.

© 1994 Optical Society of America

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References

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  1. S. Mitachi, T. Miyashita, “Refractive-index dispersion for BaF2–GdF3–ZrF4–AlF3 glasses,” Appl. Opt. 22, 2419–2425 (1983).
    [CrossRef] [PubMed]
  2. K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
    [CrossRef]
  3. R. N. Brown, J. J. Hutta, “Material dispersion in high optical quality heavy metal fluoride glasses,” Appl. Opt. 24, 4500–4503 (1985).
    [CrossRef] [PubMed]
  4. R. N. Brown, M. J. Suscavage, “Material dispersion in heavy-metal fluoride glasses,” J. Non-Cryst. Solids 89, 282–289 (1987).
    [CrossRef]
  5. L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
    [CrossRef]
  6. B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
    [CrossRef] [PubMed]
  7. L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
    [CrossRef]
  8. K. Nassau, H. Wemple, “Material dispersion slope in optical-fiber waveguides,” Electron. Lett. 18, 450–451 (1982).
    [CrossRef]
  9. H. H. Li, “Refractive index of alkali halides and its wavelength and temperature derivatives,” J. Phys. Chem. Data 5, 329–530 (1976).
    [CrossRef]
  10. D. E. Gray, ed., American Institute of Physics Handbook (American Institute of Physics, New York, 1972), pp. 6–33.
  11. L. Zhang, F. Gan, “The relationship between refractive index and composition for fluoride glasses,” Glass Technol. 33, 22–26 (1992).
  12. K. Nassau, “The material dispersion zero in infrared optical waveguide materials,” Bell Syst. Tech. J. 60, 327–337 (1981).
  13. P. McNamara, “Refractive index and zero dispersion considerations in the choice of fluoride glass compositions,” Mater. Sci. Forum 67–68, 79–84 (1991).
    [CrossRef]

1992 (1)

L. Zhang, F. Gan, “The relationship between refractive index and composition for fluoride glasses,” Glass Technol. 33, 22–26 (1992).

1991 (1)

P. McNamara, “Refractive index and zero dispersion considerations in the choice of fluoride glass compositions,” Mater. Sci. Forum 67–68, 79–84 (1991).
[CrossRef]

1988 (1)

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

1987 (1)

R. N. Brown, M. J. Suscavage, “Material dispersion in heavy-metal fluoride glasses,” J. Non-Cryst. Solids 89, 282–289 (1987).
[CrossRef]

1985 (1)

R. N. Brown, J. J. Hutta, “Material dispersion in high optical quality heavy metal fluoride glasses,” Appl. Opt. 24, 4500–4503 (1985).
[CrossRef] [PubMed]

1983 (1)

1982 (2)

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

K. Nassau, H. Wemple, “Material dispersion slope in optical-fiber waveguides,” Electron. Lett. 18, 450–451 (1982).
[CrossRef]

1981 (3)

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
[CrossRef]

K. Nassau, “The material dispersion zero in infrared optical waveguide materials,” Bell Syst. Tech. J. 60, 327–337 (1981).

1976 (1)

H. H. Li, “Refractive index of alkali halides and its wavelength and temperature derivatives,” J. Phys. Chem. Data 5, 329–530 (1976).
[CrossRef]

Bendow, B.

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Brown, R. N.

R. N. Brown, M. J. Suscavage, “Material dispersion in heavy-metal fluoride glasses,” J. Non-Cryst. Solids 89, 282–289 (1987).
[CrossRef]

R. N. Brown, J. J. Hutta, “Material dispersion in high optical quality heavy metal fluoride glasses,” Appl. Opt. 24, 4500–4503 (1985).
[CrossRef] [PubMed]

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Drexhage, M. G.

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Gan, F.

L. Zhang, F. Gan, “The relationship between refractive index and composition for fluoride glasses,” Glass Technol. 33, 22–26 (1992).

Horiguchi, M.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Hutta, J. J.

R. N. Brown, J. J. Hutta, “Material dispersion in high optical quality heavy metal fluoride glasses,” Appl. Opt. 24, 4500–4503 (1985).
[CrossRef] [PubMed]

Jeunhomme, L.

L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
[CrossRef]

Jingji, K.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Kanamori, T.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Kirk, R. L.

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Kober, A.

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

Li, H. H.

H. H. Li, “Refractive index of alkali halides and its wavelength and temperature derivatives,” J. Phys. Chem. Data 5, 329–530 (1976).
[CrossRef]

Loretz, J.

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Manabe, T.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

McNamara, P.

P. McNamara, “Refractive index and zero dispersion considerations in the choice of fluoride glass compositions,” Mater. Sci. Forum 67–68, 79–84 (1991).
[CrossRef]

Mitach, S.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Mitachi, S.

Miyashita, T.

Monerie, M.

L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
[CrossRef]

Nassau, K.

K. Nassau, H. Wemple, “Material dispersion slope in optical-fiber waveguides,” Electron. Lett. 18, 450–451 (1982).
[CrossRef]

K. Nassau, “The material dispersion zero in infrared optical waveguide materials,” Bell Syst. Tech. J. 60, 327–337 (1981).

Poignant, H.

L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
[CrossRef]

Shibata, S.

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Suscavage, M. J.

R. N. Brown, M. J. Suscavage, “Material dispersion in heavy-metal fluoride glasses,” J. Non-Cryst. Solids 89, 282–289 (1987).
[CrossRef]

Wemple, H.

K. Nassau, H. Wemple, “Material dispersion slope in optical-fiber waveguides,” Electron. Lett. 18, 450–451 (1982).
[CrossRef]

West, G.

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

Westendorf, T.

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

Wetenkamp, L.

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

Zhang, L.

L. Zhang, F. Gan, “The relationship between refractive index and composition for fluoride glasses,” Glass Technol. 33, 22–26 (1992).

Appl. Opt. (2)

R. N. Brown, J. J. Hutta, “Material dispersion in high optical quality heavy metal fluoride glasses,” Appl. Opt. 24, 4500–4503 (1985).
[CrossRef] [PubMed]

B. Bendow, R. N. Brown, M. G. Drexhage, J. Loretz, R. L. Kirk, “Material dispersion of fluorozirconate-type glasses,” Appl. Opt. 20, 3688–3690 (1981).
[CrossRef] [PubMed]

Appl. Opt. (1)

Bell Syst. Tech. J. (1)

K. Nassau, “The material dispersion zero in infrared optical waveguide materials,” Bell Syst. Tech. J. 60, 327–337 (1981).

Electron. Lett. (1)

K. Nassau, H. Wemple, “Material dispersion slope in optical-fiber waveguides,” Electron. Lett. 18, 450–451 (1982).
[CrossRef]

Electron. Lett. (2)

L. Jeunhomme, H. Poignant, M. Monerie, “Material dispersion evaluation in a fluoride glass,” Electron. Lett. 17, 808–810 (1981).
[CrossRef]

K. Jingji, M. Horiguchi, S. Shibata, T. Kanamori, S. Mitach, T. Manabe, “Material dispersion in fluoride glasses,” Electron. Lett. 18, 164–166 (1982).
[CrossRef]

Glass Technol. (1)

L. Zhang, F. Gan, “The relationship between refractive index and composition for fluoride glasses,” Glass Technol. 33, 22–26 (1992).

J. Non-Cryst. Solids (1)

R. N. Brown, M. J. Suscavage, “Material dispersion in heavy-metal fluoride glasses,” J. Non-Cryst. Solids 89, 282–289 (1987).
[CrossRef]

J. Phys. Chem. Data (1)

H. H. Li, “Refractive index of alkali halides and its wavelength and temperature derivatives,” J. Phys. Chem. Data 5, 329–530 (1976).
[CrossRef]

Mater. Sci. Forum (2)

L. Wetenkamp, T. Westendorf, G. West, A. Kober, “The effect of small composition changes on the refractive index and material dispersion in ZBLAN heavy-metal fluoride glass,” Mater. Sci. Forum 32–33, 471–476 (1988).
[CrossRef]

P. McNamara, “Refractive index and zero dispersion considerations in the choice of fluoride glass compositions,” Mater. Sci. Forum 67–68, 79–84 (1991).
[CrossRef]

Other (1)

D. E. Gray, ed., American Institute of Physics Handbook (American Institute of Physics, New York, 1972), pp. 6–33.

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Figures (4)

Fig. 1
Fig. 1

Plot of λUV of fluoride compounds against the (Ad/NZ 2)1/8 value.

Fig. 2
Fig. 2

Plot of λIR of fluoride compounds against the (μ/Z)1/2 (d 6/Xm 3)1/8 value.

Fig. 3
Fig. 3

Refractive-index dispersion curves of fluoride glasses: solid curves, calculated values; dots, measured values.

Fig. 4
Fig. 4

Material dispersion curves of fluoride glasses: solid curves, calculated values; dots, measured values.

Tables (3)

Tables Icon

Table 1 Parameters for the Calculation of Refractive-Index and Material Dispersion of Fluoride Glasses

Tables Icon

Table 2 Glass Composition in Table 3, Fig. 3, and Fig. 4

Tables Icon

Table 3 Composition of Zero Material Dispersion Wavelength Measured and Calculated

Equations (18)

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n λ 2 - 1 = i = 1 k f i λ 2 / ( λ 2 - λ i 2 ) + j = 1 m f j λ 2 / ( λ 2 - λ j 2 ) ,
n λ 2 - 1 = i = 1 6 f i λ 2 / ( λ 2 - λ i 2 ) ,
λ i = X i j λ i j / X i j , f i = X i j f i j ,
λ 1 = [ 0.57 λ UV ( ZrF 4 ) + 0.04 λ UV ( AlF 3 ) ] / ( 0.57 + 0.04 ) , f 1 = 0.57 f UV ( ZrF 4 ) + 0.04 f UV ( AlF 3 ) , λ 2 = λ UV ( LaF 3 ) , f 2 = 0.03 f UV ( LaF 3 ) , λ 3 = λ UV ( BaF 2 ) , f 3 = 0.36 f UV ( BaF 2 ) , λ 4 = [ 0.57 λ IR ( ZrF 4 ) + 0.04 λ IR ( AlF 3 ) ] / ( 0.57 + 0.04 ) , f 4 = 0.57 f IR ( Zrf 4 ) + 0.04 f IR ( AlF 3 ) , λ 5 = λ IR ( LaF 3 ) , f 5 = 0.03 f IR ( LaF 3 ) , λ 6 = λ IR ( BaF 2 ) , f 6 = 0.36 f IR ( BaF 2 ) .
d 2 n d λ 2 = 1 n [ i = 1 6 A i - ( i = 1 6 B i ) 2 ] ,
A i = f i λ i 2 ( λ i 2 + 3 λ 2 ) / ( λ 2 - λ i 2 ) 3 , B i = f i λ i 2 λ / n ( λ 2 - λ i 2 ) 2 .
M ( λ ) = 1 c d 2 n d λ 2 = 1 c n [ i = 1 6 A i - ( i = 1 6 B i ) 2 ] .
λ 0 = ˙ [ 3 ( f 1 λ 1 2 + f 2 λ 2 2 + f 3 λ 3 2 ) λ 4 2 λ 5 2 λ 6 2 f 4 λ 5 2 λ 6 2 + f 5 λ 4 2 λ 6 2 + f 6 λ 4 2 λ 6 2 ] 1 / 4 .
λ UV = a 1 ( A d / N Z 2 ) 1 / 8 + a 2 ,
λ UV ( μ m ) = 0.1217 ( A d / N Z 2 ) 1 / 8 - 0.0477.
λ UV ( μ m ) = c [ 0.1217 ( A d / N Z 2 ) 1 / 8 - 0.0477 ] .
λ IR = c ( μ / k ) 1 / 2 ,
k = c 1 N ( X a X b / d 2 ) 3 / 4 + c 2 ,
λ IR = C 1 ( μ / Z ) 1 / 2 ( d 6 / X m 3 ) 1 / 8 + C 2 ,
λ IR ( μ m ) = 7.1411 ( μ / Z ) 1 / 2 ( d 6 / X m 3 ) 1 / 8 + 1.9908.
n λ 2 - 1 = f UV λ 2 / ( λ 2 - λ UV 2 ) .
n d = [ ( V + 2 R ) / ( V - R ) ] 1 / 2 ,
f UV = 3 R ( 0.5876 2 - λ UV 2 ) / [ 0.5876 2 ( V - R ) ] .

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