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Journal ArticleDOI

Detailed variational analysis of single mode trapezoidal index fiber involving two simple approximations of fundamental mode with comparison relating accurate prediction of propagation characteristics

26 Mar 2017-Journal of Modern Optics (Taylor & Francis)-Vol. 64, Iss: 6, pp 646-652
TL;DR: In this paper, a detailed variational analysis of single-mode trapezoidal index fiber to investigate its propagation characteristics involving two simple approximations of fundamental mode is presented, and it is shown in respect of computation of normalized field that the single parameter variational function having Gaussian and modified Bessel variations in the core and cladding, respectively, is more accurate in comparison with the Gaussian function over a wide range of values of normalized frequency and aspect ratio.
Abstract: A detailed variational analysis of single-mode trapezoidal index fibre to investigate its propagation characteristics involving two simple approximations of fundamental mode is presented. It is shown in respect of computation of normalized field that the single parameter variational function having Gaussian and modified Bessel variations in the core and cladding, respectively, is more accurate in comparison with the Gaussian function over a wide range of values of normalized frequency and aspect ratio. Also, it predicts the propagation characteristics, more accurately, than the Gaussian function from variational and recently reported Marcuse-type formulations. Further, in terms of such range of values, a complete formulation of variational parameter for the Gaussian-modified Bessel function is prescribed for ready reference to the system users to predict the modal field and propagation characteristics.
Citations
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Book ChapterDOI
29 Apr 2015
TL;DR: This chapter is a starting point to look around and see where you’re going before you dig into details, and put fiber optics and communications into context and show how they go together.
Abstract: This chapter is a starting point to look around and see where you’re going before you dig into details. The goal is to put fiber optics and communications into context and show how they go together. I start with a personal commentary about the turbulent times of the past several years, then explain the plan for this book. A brief history of fiber optics follows, which introduces some important concepts. Then a brief history of communications explains the need for bandwidth and how fiber optics filled that need, perhaps too well. Finally, I explain some of the terminology of the field to help you in your looking about.

159 citations

Journal ArticleDOI
TL;DR: In this article, the authors summarized the key technologies of a single mode fiber coupling to a laser diode and its direction of development in the future, and focused on optimizing the optical structure and the coupling parameters to improve the coupling efficiency and packaging performance.

16 citations

Journal ArticleDOI
01 Oct 2018-Optik
TL;DR: In this article, the authors use the splice loss measurement technique in absence and presence of angular misalignment and report a simple and accurate method to predict the unknown aspect ratio of a supplied circular core trapezoidal index single mode fiber.

3 citations

References
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Journal ArticleDOI
TL;DR: The perturbation method allows to derive the eigensolutions in many layers from the computed eigenvalue systems of a reference layer provided that the optical and geometrical parameters of these layers differ only slightly.
Abstract: The perturbation method is combined with the Rigorous CoupledWave Analysis (RCWA) to enhance its computational speed. In the original RCWA, a grating is approximated by a stack of lamellar gratings and the number of eigenvalue systems to be solved is equal to the number of subgratings. The perturbation method allows to derive the eigensolutions in many layers from the computed eigensolutions of a reference layer provided that the optical and geometrical parameters of these layers differ only slightly. A trapezoidal grating is considered to evaluate the performance of the method.

12 citations

Journal ArticleDOI
TL;DR: In this article, the propagation characteristics of single-mode elliptical core fiber using scalar variational method with novel super-Gaussian approximation were presented, and results obtained through this method for different aspect ratios matched excellently with those reported using other methods.
Abstract: We present detailed propagation characteristics of single-mode elliptical core fiber using scalar variational method with novel super-Gaussian approximation. Results obtained through this method for different aspect ratios matched excellently with those reported using other methods.

10 citations

Journal ArticleDOI
TL;DR: In this article, simple and complete empirical relations are presented to determine a normalized spot size in terms of normalized frequencies over a long range and aspect ratio of a trapezoidal index single-mode fiber considering Gaussian approximation of the fundamental mode following the Marcuse method for the first time.
Abstract: Simple and complete empirical relations are presented here to determine a normalized spot size in terms of normalized frequencies over a long range and aspect ratio of a trapezoidal index single-mode fiber considering Gaussian approximation of the fundamental mode following the Marcuse method for the first time. After verification of their validity for arbitrary values of aspect ratio and normalized frequency, we calculate various propagation characteristics viz. dispersion and splice loss by using our formulations. Upon comparison, we observe an excellent match and the validity of our results with exact values and other results available in the literature. These formulas should attract the attention of experimentalists as a simple alternative to the rigorous methods of estimating the propagation characteristics of such fibers.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the normalized cutoff frequencies of the linearly polarized (LP) modes of a graded-index few mode fiber have been calculated as a function of profile shape parameters using a simple numerical method.
Abstract: The normalized cutoff frequencies of the linearly polarized (LP) modes of a graded-index few mode fiber have been calculated as a function of profile shape parameters using a simple numerical method. The effect of refractive-index dip on these cutoff frequencies and on the order of appearance of these modes has been investigated. The presence of dip causes an increase in the cutoff V values of all the modes, and the maximum shift in the cutoff V value is found to be even 20% for some modes. The order of appearance of some modes also gets drastically affected.

9 citations