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Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber

Published on September 2016 by Shubhendu Maiti, Anup Kumar Maiti
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International Conference on Emerging Trends in Informatics and Communication
Foundation of Computer Science USA
ICETIC2016 - Number 1
September 2016
Authors: Shubhendu Maiti, Anup Kumar Maiti
efb608c0-aec2-4b93-8623-041433722690

Shubhendu Maiti, Anup Kumar Maiti . Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber. International Conference on Emerging Trends in Informatics and Communication. ICETIC2016, 1 (September 2016), 15-18.

@article{
author = { Shubhendu Maiti, Anup Kumar Maiti },
title = { Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber },
journal = { International Conference on Emerging Trends in Informatics and Communication },
issue_date = { September 2016 },
volume = { ICETIC2016 },
number = { 1 },
month = { September },
year = { 2016 },
issn = 0975-8887,
pages = { 15-18 },
numpages = 4,
url = { /proceedings/icetic2016/number1/25869-4008/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Emerging Trends in Informatics and Communication
%A Shubhendu Maiti
%A Anup Kumar Maiti
%T Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber
%J International Conference on Emerging Trends in Informatics and Communication
%@ 0975-8887
%V ICETIC2016
%N 1
%P 15-18
%D 2016
%I International Journal of Computer Applications
Abstract

We present the formulation of ABCD matrix for both reflection and refraction of Gaussian light beam by a spherical surface which separates media of different refractive indices. The analysis takes care of arbitrary angle of incidence. Based on optical phase matching on the interface, we derive expressions for spot sizes and wave-front radii and use them to obtain the ABCD matrix. The formulated ABCD matrix may subsequently be employed to study the launch optics involving laser diode to single-mode fiber coupling via hemispherical micro lens on the fiber tip. The execution of ABCD matrix formalism, as regards estimation of the excitation efficiency, involves little computation and consequently it will be user friendly with the system engineers who are working in the field of optical technology.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Spot Size Abcd Matrix Hemispherical Microlens Single-mode Circular Core Step Index Fiber.