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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

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IJCA Proceedings on International Conference on Emerging Trends in Informatics and Communication
© 2016 by IJCA Journal
ICETIC 2016 - Number 1
Year of Publication: 2016
Authors:
Shubhendu Maiti
Anup Kumar Maiti

Shubhendu Maiti and Anup Kumar Maiti. Article: Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber. IJCA Proceedings on International Conference on Emerging Trends in Informatics and Communication ICETIC 2016(1):15-18, September 2016. Full text available. BibTeX

@article{key:article,
	author = {Shubhendu Maiti and Anup Kumar Maiti},
	title = {Article: Formulation of ABCD Matrix for Reflection and Refraction of Gaussian Light Beams on the Hemispherical Microlens Drawn on the Tip of Fiber},
	journal = {IJCA Proceedings on International Conference on Emerging Trends in Informatics and Communication},
	year = {2016},
	volume = {ICETIC 2016},
	number = {1},
	pages = {15-18},
	month = {September},
	note = {Full text available}
}

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.

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