The application of the fractional calculus model for dispersion and absorption in dielectrics II. Infrared waves

被引:2
作者
Wharmby, Andrew W. [1 ]
机构
[1] JBSA, Bioeffects Div, Opt Radiat Branch, Human Effectiveness Directorate, 711th Human Performance Wing,4141 Petr Rd, Ft Sam Houston, TX 78234 USA
关键词
Infrared waves; Maxwell's equations; Dielectrics; Fractional calculus; Generalized derivatives; Wave equation; Viscoelasticity;
D O I
10.1016/j.ijengsci.2016.04.003
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the first paper of this series, an empirical formula based on viscoelastic analysis techniques that employs concepts from the fractional calculus originally used to model the dielectric behavior of materials exposed to oscillating electromagnetic fields in the radiofrequency band was applied to do the same for electromagnetic fields oscillating in the terahertz frequency range. The empirical formula was integrated into Maxwell's equations producing a fractional order Ampere's law whereof a fractional order wave equation was derived. This wave equation was used to describe the absorption and dispersion of terahertz waves in a dielectric medium. In this work, the empirical formula is extended again for application in the infrared frequency spectrum. The fractional calculus dielectric model is adapted to curve fit the complex refractive index data of a variety of semiconductors and insulators. Following the same procedure used in the first paper of this series, the fractional calculus dielectric model is again integrated in Maxwell's equations with the same dispersion and absorption analysis performed using the newly derived fractional order wave equation. The mathematical consequences of extending this model into infrared frequencies are also discussed. Published by Elsevier Ltd.
引用
收藏
页码:62 / 74
页数:13
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