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Titas Das

Bio: Titas Das is an academic researcher from University of Calcutta. The author has contributed to research in topics: Beam divergence & Normalized frequency (fiber optics). The author has an hindex of 1, co-authored 3 publications receiving 4 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the authors present simple and complete empirical relations to predict the angle of beam divergence in terms of normalized frequency and aspect ratio of a single-mode trapezoidal index fiber.
Abstract: We present simple and complete empirical relations to predict the angle of beam divergence in terms of normalized frequency and aspect ratio of a single-mode trapezoidal index fiber. This is done for the far-field characterization over a long range of normalized frequencies without the calculation of normalized spot sizes. On comparison, we observe an excellent match of our results with exact values establishing the validity of our formulation. The formulation should attract attention as a simple alternative to the rigorous methods of estimating the angle of beam divergence for such fibers. It can be widely used by system users and developers for much better control over far-field related calculations and experiments.

4 citations

Journal ArticleDOI
01 Oct 2018-Optik
TL;DR: In this article, the effect of Kerr nonlinearity on the angle of beam divergence of single-mode trapezoidal index fibers from its linear and nonlinear values was investigated, and the nonlinear effect for each aspect ratio was observed to be more profound in lower values of normalized frequency.

2 citations

Journal ArticleDOI
01 Jan 2020-Optik
TL;DR: In this article, the authors present simple empirical relations for angle of beam divergence of a solid-core photonic crystal fiber (PCF) only depending on the opto-geometrical parameters like wavelength of the light used and the two structural parameters, the air hole diameter and the hole pitch.
Journal ArticleDOI
TL;DR: In this article , the homotopy analysis method is applied to study time-fractional nonlinear Schrödinger equation (NLSE) with three separate trapping potential models that have not been investigated yet.
Abstract: A brief outline of the derivation of the time-fractional nonlinear Schrödinger equation (NLSE) is furnished. The homotopy analysis method (HAM) is applied to study time-fractional NLSE with three separate trapping potential models that we believe have not been investigated yet. The first potential is a double cosine potential $[V(x)=V_{1}\cos x+V_{2}\cos 2x]$, the second one is the Morse potential $[V(x)=V_{1}e^{-2\beta x}+V_{2}e^{-\beta x}]$, and a hyperbolic potential $[V(x)=V_{0}\tanh(x)\sech(x)]$ is taken as the third model. The fractional derivatives and integrals are described in the Caputo and Riemann Liouville sense, respectively. The solutions are given in the form of convergent series with easily computable components. A physical analysis with graphical representations explicitly reveals that HAM is effective and convenient for solving nonlinear differential equations of fractional order.

Cited by
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Journal ArticleDOI
01 Jan 2018-Optik
TL;DR: Based on the splice loss analysis between two perfectly aligned single mode step and trapezoidal index fibers, a simple empirical relation of power transmission coefficient in terms of normalised frequency and aspect ratio was proposed in this article.

3 citations

Journal ArticleDOI
01 Oct 2018-Optik
TL;DR: In this article, the effect of Kerr nonlinearity on the angle of beam divergence of single-mode trapezoidal index fibers from its linear and nonlinear values was investigated, and the nonlinear effect for each aspect ratio was observed to be more profound in lower values of normalized frequency.

2 citations

Journal ArticleDOI
01 Jan 2020-Optik
TL;DR: In this article, the authors present simple empirical relations for angle of beam divergence of a solid-core photonic crystal fiber (PCF) only depending on the opto-geometrical parameters like wavelength of the light used and the two structural parameters, the air hole diameter and the hole pitch.
Journal ArticleDOI
TL;DR: In this paper , the effect of aspect ratio on splice loss between a pair of identical single mode trapezoidal index fibers in the presence of longitudinal and transverse misalignments is investigated.
Abstract: In this paper, an in-depth investigation is carried out on the effect of aspect ratio on splice loss between a pair of identical single mode trapezoidal index fibers in the presence of longitudinal and transverse misalignments. Splice loss is, interestingly, observed to get reduced, with the increase of aspect ratio and becomes minimum for unit aspect ratio for step profiles. Also, it is nearing minimum for near-step profiles. So, if there exists a little imperfection, say about ten percent, from step index profile, there will be no significant increase in the loss than that in step profile. This extended loss-tolerant feature in the step and near-step region revalidates the choice of the available step profile, technically used in communication. Thus, even for a digression in fabrication, system users should feel confident to use it. The physical significance of the results is justified from basic diffraction ideas. Finally, the entire study leads to a novel proposal of a longitudinal displacement sensor through simple and straight-forward empirical formulation to estimate the longitudinal misalignment from the knowledge of the splice loss of widely available step index fiber simply with air in the gap.