Journal ArticleDOI
Scattering of TM Waves by Dielectric Fibres Iterative and Eikonal Solutions
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TLDR
In this article, the authors studied the scattering of electromagnetic waves by dielectric cylinders and, in particular, by optical fibres through integral equations and established the convergence of the iterations of the integral equations under certain conditions.Abstract:
The scattering of electromagnetic waves by dielectric cylinders and, in particular, by optical fibres is studied through integral equations. The convergence of the iterations of the integral equations is established under certain conditions. The latter are satisfied for long wavelengths, and for optical fibres and wavelengths, when the dielectric permeability variation is rather small. An approximate eikonal solution is applied to optical fibres, and its reliability is discussed. A systematic procedure for estimating corrections to the eikonal approximation is proposed.read more
Citations
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Light scattering for particle characterization
TL;DR: In this article, the authors review the status of elastic light scattering, focusing on recent developments, rather than being over-repetitive of earlier reviews, but considerable background is included with the aim of making the paper self-contained.
Journal ArticleDOI
The eikonal approximation revisited
S. K. Sharma,D. J. Somerford +1 more
TL;DR: A review of the history of the Fraunhofer approximation can be found in this paper, where the authors examine the historical evolution of this approximation which essentially started in optics when Bruns introduced the term eikonal in 1895.
Journal ArticleDOI
Investigation of Domains of Validity of Corrections to the Eikonal Approximation in Forward Light Scattering from Homogeneous Spheres
TL;DR: In this paper, the eikonal approximation in light scattering from non-absorbing, transparent homogeneous spheres is considered and numerical comparisons with the exact theory for various values of relative refractive index m and diameter d are presented.
Journal ArticleDOI
Approximation methods for sizing transparent fibres using light scattering
S K Sharma,D J Somerford +1 more
TL;DR: In this paper, the eikonal and other approximation methods used to describe light scattering from non-absorbing transparent long fibres are compared with the exact theory and the implications of these results to fibre sizing are briefly discussed.
Journal ArticleDOI
The eikonal approximation applied to sizing transparent fibres using the scattered intensity-ratio technique
S K Sharma,D J Somerford +1 more
TL;DR: In this paper, the first-order corrected eikonal approximation (FCEA) has been used as an approximation to the exact theory for fibre size measurements by the forward lobe scattering intensity-ratio technique.
References
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Handbook of Mathematical Functions
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Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Principles of Optics
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.