Investigation of coupling of a laser diode to photonic crystal fiber via hyperbolic microlens on the fiber tip by ABCD matrix formalism

Abstract

A simple and accurate theoretical investigation is presented, based on a novel, effective, and straightforward ABCD matrix technique, in relation to estimation of optimum coupling efficiency between the laser diode and the photonic crystal fiber (PCF) with a hyperbolic microlens (HML) on its tip. By tailoring different parameters, such as the air-filling factor and lattice constant of the PCF, the criteria for achieving maximum coupling are predicted and reported for two different light wavelengths of practical interest. It is observed that such fiber parameters play a crucial role in predicting the optimum focal length of HML for a particular wavelength. The formulation should find application in the design of HML, for achieving a long working distance between the laser source facet and the fiber tip. Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/19/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx Somenath Sarkar is currently a professor of the Department of Electronic Science, CU, where he has rendered services since September 1989. He received his MSc degree (physics) from Delhi University and his PhD (physics) from IIT, Delhi, in fiber optics. He carried out investigations successfully through two R&D projects of CSIR and AICTE and one DST-FIST and AICTE MODROB project with colleagues to upgrade teaching and laboratories. He is an associate editor of Advances in Optoelectronics. Optical Engineering 086102-7 August 2015 • Vol. 54(8) Karak et al.: Investigation of coupling of a laser diode to photonic crystal fiber via hyperbolic microlens. . . Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 08/19/2015 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

Multiple material domain‐based computational tools for ease assessment of modal parameter in photonic crystal fibers

“…Further, a comparison has been made with available results of full‐vectorial FEM (FV‐FEM) and EIM techniques to ensure that the chosen platform can be considered for further research purposes. The purpose to choose the aforementioned platform is to build a simplified and suitable platform that can be used to evaluate modal parameters that are considered to be vital in PCF 25–29 …”

“…Further, Das 28 had also utilized FV‐FEM technique for modal parametric studies. Again, Karak 29 used EIM technique to evaluate the modal parameter studies. The relationship between the refractive index of different materials with the effective refractive index of PCF can lead to change the working behavior of PCF by changing their modal parameters 25–29 .…”

“…Again, Karak 29 used EIM technique to evaluate the modal parameter studies. The relationship between the refractive index of different materials with the effective refractive index of PCF can lead to change the working behavior of PCF by changing their modal parameters 25–29 . These overall concepts have been utilized to build these two platforms to ease the computation of a researcher.…”

“…The purpose to choose the aforementioned platform is to build a simplified and suitable platform that can be used to evaluate modal parameters that are considered to be vital in PCF. [25][26][27][28][29] Thus, the aforementioned relationship has been taken into consideration for this work. To get a further insight into this dependence, we accrue all available literatures dealing with PCF entailing this dependence and enlist them in Table 3.…”

“…The relationship between the refractive index of different materials with the effective refractive index of PCF can lead to change the working behavior of PCF by changing their modal parameters. [25][26][27][28][29] These overall concepts have been utilized to build these two platforms to ease the computation of a researcher. As evident, Table 3 provides a nice comparison of our evaluated results of the modal parameters along with the published literatures.…”