Abstrac t.The use of an optical ® bre scattering pattern for measurements of its refractive-index pro® le and diameter through the ® bre-as-phase-object method is discussed. The exact solution from electromagnetic theory and the phase-object approximation are compared. A great discrepancy between the exact solution and the ® bre-as-phase-object approximation used in recently published papers is demonstrated and is critically analysed.Light di raction from an optical ® bre has been used for many years tomeasure the ® bre refractive index pro® le. Di erent methods were developed to recover ® bre parameters from the di raction pattern [1± 5]. Presby [1] has shown that the diameter of an unclad ® bre can be measured by observing the backscattered light. Watkins [2] has proposed a method in which the pro® le of a ® bre with uniform core was calculated from its scattering pattern. This method was modi® ed for an arbitrary pro® le by Okoshi and Hotate [3]. The drawback of this method is that a large number of data points was required. Later, Brinkmeyer [4] proposed to consider a® bre, which was immersed intoan index-matching oil, as aphase object. In this case the core± cladding refractive-index di erence is very small d n ! 1 and the amplitude distribution of aplane optical wave can be considered tobe constant inside the ® bre; this approach simpli® es the scattering pattern analysis. Recently, a new method has been proposed in [6] in order to determine ® bre parameters. As the author of that paper stated, a ® bre was considered as aphase object; in contrast to the paper of Brinkmeyer, refraction inside the ® bre was taken into account, a consideration thatÐ it was arguedÐ permitted one to avoid the need for an indexmatching oil. In this paper we show that the approach proposed in [6]is incorrect, and cannot be used to determine ® bre parameters. We derive the exact solution from electromagnetic theory, which is in good agreement with previously published experimental and theoretical results of other authors [1± 4], but is absolutely di erent from the theory and experimental results published in [6].We consider plane wave di raction from a dielectric cylinder that corresponds to the case of laser beam scattering from a ® bre. Although the term`di raction' is more correct we will use the term`scattering' following the terminology of previous papers [1± 4]. We assume that the electric ® eld of the incident wave is aligned with the ® bre axis in the vertical plane (® gure 1). In [6] the ® bre was considered as a phase object, which introduces just aphase shift. Such assumption means that the ® bre does not change the ampiltude distribution of alaser beam. In
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2025 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.