A three-parameter description of optical fiber material dispersion is proposed which fits the available data and reveals the key roles played by bond length, lattice structure, chemical valence, average energy gap, and atomic mass. Using broadly applicable trends in electronic and phonon oscillator strengths, simple expressions are deduced for material dispersion including the zero crossover wavelength λc. These results impose severe constraints on fiber design which essentially limit the possibilities for significantly improving on pure silica to sulfates (particularly Li2SO4) and to BeF2. The predicted value of λc for the latter material is 1.05 μm.
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G. S. Smith and P. B. Isaacs, Acta Crystallogr. 17, 842 (1964).
Y. Y. Huang and A. Sarkar, J. Noncrystalline Solids 27, 29 (1978).
D. E. Sayers, E. A. Stern, and F. W. Lytle, Phys. Rev. Lett. 35, 584 (1975).
G. E. Gurr, P. W. Montgomery, C. D. Knutson, and B. T. Gorres, Acta Crystallogr. B 26, 906 (1970).
K. Vedam and W. C. Schneider, J. Appl. Phys. 43, 3623 (1972).
Table II
Predicted Phonon Oscillator Strengths El Based on Eq. (7)
Ref. 7.
J. W. Fleming, W. R. Northover, A. D. Pearson, and Louis Soto (unpublished).
J. W. Fleming (unpublished).
Table IV
Values of Average Bond Length
, Structure Factor β, and f-Value for Several Glasses Listed in Table III: Values in Parentheses are Estimates (See Text)
Sample
(Å)
β
f(eV)
I
1.61
0.184
5.0
II
1.55
0.163
5.4
III
1.63
0.186
4.9
V
(1.61)
(0.20)
(5.1)
VI
(1.61)
(0.21)
(4.9)
Table V
Dispersion Parameters and Crossover Wavelength λc for Two First Row Fluorides; Estimated Parameters are Enclosed in Parentheses (See Text)
G. S. Smith and P. B. Isaacs, Acta Crystallogr. 17, 842 (1964).
Y. Y. Huang and A. Sarkar, J. Noncrystalline Solids 27, 29 (1978).
D. E. Sayers, E. A. Stern, and F. W. Lytle, Phys. Rev. Lett. 35, 584 (1975).
G. E. Gurr, P. W. Montgomery, C. D. Knutson, and B. T. Gorres, Acta Crystallogr. B 26, 906 (1970).
K. Vedam and W. C. Schneider, J. Appl. Phys. 43, 3623 (1972).
Table II
Predicted Phonon Oscillator Strengths El Based on Eq. (7)
Ref. 7.
J. W. Fleming, W. R. Northover, A. D. Pearson, and Louis Soto (unpublished).
J. W. Fleming (unpublished).
Table IV
Values of Average Bond Length
, Structure Factor β, and f-Value for Several Glasses Listed in Table III: Values in Parentheses are Estimates (See Text)
Sample
(Å)
β
f(eV)
I
1.61
0.184
5.0
II
1.55
0.163
5.4
III
1.63
0.186
4.9
V
(1.61)
(0.20)
(5.1)
VI
(1.61)
(0.21)
(4.9)
Table V
Dispersion Parameters and Crossover Wavelength λc for Two First Row Fluorides; Estimated Parameters are Enclosed in Parentheses (See Text)
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