Cauchy's dispersion equation reconsidered: Dispersion in silicate glasses

被引:0
|
作者
Smith, DY [1 ]
Inokuti, M
Karstens, W
机构
[1] Univ Vermont, Dept Phys, Burlington, VT 05405 USA
[2] Argonne Natl Lab, Div Phys, Argonne, IL 60439 USA
[3] St Michaels Coll, Colchester, VT 05439 USA
来源
RADIATION EFFECTS AND DEFECTS IN SOLIDS | 2002年 / 157卷 / 6-12期
关键词
optical properties; dispersion; dispersion formulas; Abbe number; optical glass;
D O I
10.1080/10420150215781
中图分类号
TL [原子能技术]; O571 [原子核物理学];
学科分类号
0827 ; 082701 ;
摘要
We formulate a novel method of characterizing optically transparent substances using dispersion theory. The refractive index is given by a generalized Cauchy dispersion equation with coefficients that are moments of the uv and ir absorptions. Mean dispersion, Abbe number, and partial dispersion are combinations of these moments. The empirical relation between index and dispersion for families of glasses appears as a consequence of Beer's law applied to the uv spectra.
引用
收藏
页码:823 / 828
页数:6
相关论文
共 50 条
  • [1] The dispersion of silicate glasses as a function of composition
    Huggins, ML
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1940, 30 (11) : 514 - 518
  • [2] PADE SUMMATION OF CAUCHY DISPERSION EQUATION
    LANGHOFF, PW
    KARPLUS, M
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1969, 59 (07) : 863 - &
  • [3] DISPERSION OF KERR EFFECT IN GLASSES OF LEAD SILICATE
    PAILLETTE, M
    OPTICS COMMUNICATIONS, 1975, 13 (01) : 64 - 67
  • [4] The Cauchy problem for the Ostrovsky equation with positive dispersion
    Yan, Wei
    Li, Yongsheng
    Huang, Jianhua
    Duan, Jinqiao
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2018, 25 (03):
  • [5] Cauchy problem of the generalized double dispersion equation
    Wang, SB
    Chen, GW
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (01) : 159 - 173
  • [6] The Cauchy problem for the Ostrovsky equation with positive dispersion
    Wei Yan
    Yongsheng Li
    Jianhua Huang
    Jinqiao Duan
    Nonlinear Differential Equations and Applications NoDEA, 2018, 25
  • [7] On the Cauchy problem for the Ostrovsky equation with positive dispersion
    Gui, Guilong
    Liu, Yue
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (10-12) : 1895 - 1916
  • [8] Dispersion analysis of FTIR reflection measurements in silicate glasses
    MacDonald, SA
    Schardt, CR
    Masiello, DJ
    Simmons, JH
    JOURNAL OF NON-CRYSTALLINE SOLIDS, 2000, 275 (1-2) : 72 - 82
  • [9] The dispersion of silicate glasses as a function of composition. II
    Huggins, ML
    Sun, KH
    Davies, DO
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1942, 32 (11) : 635 - 650
  • [10] The Cauchy problem for the generalized Ostrovsky equation with negative dispersion
    Xiangqian Yan
    Wei Yan
    Journal of Evolution Equations, 2022, 22