OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 33 — Nov. 20, 1997
  • pp: 8582–8586

ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip

Sankar Gangopadhyay and Somenath Sarkar  »View Author Affiliations


Applied Optics, Vol. 36, Issue 33, pp. 8582-8586 (1997)
http://dx.doi.org/10.1364/AO.36.008582


View Full Text Article

Acrobat PDF (360 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We report the formulation of an ABCD matrix for reflection and refraction of Gaussian light beams at the surfaces of the hyperboloid of revolution that separate media of different refractive indices. The analysis includes an arbitrary angle of incidence and is based on matching the optical phase at the interface. Finally, we deduce expressions for spot sizes and wave-front radii and use them to obtain the ABCD matrix. Based on the formulated ABCD matrix for refraction under paraxial approximation, we also report a simple theoretical investigation of the coupling efficiency of a laser diode to a single-mode fiber with a hyperbolic lens formed on its tip.

© 1997 Optical Society of America

Citation
Sankar Gangopadhyay and Somenath Sarkar, "ABCD matrix for reflection and refraction of Gaussian light beams at surfaces of hyperboloid of revolution and efficiency computation for laser diode to single-mode fiber coupling by way of a hyperbolic lens on the fiber tip," Appl. Opt. 36, 8582-8586 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-33-8582


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. H. M. Presby and C. A. Edwards, “Near 100% efficient fibre microlenses,” Electron. Lett. 28, 582–584 (1992).
  2. C. A. Edwards, H. M. Presby, and C. Dragone, “Ideal microlenses for laser to fiber coupling,” J. Lightwave Technol. 11, 252–257 (1993).
  3. J. John, T. S. M. Maclean, H. Ghafouri-Shiraz, and J. Niolett, “Matching of single-mode fibre to laser diode by microlenses at 1.5 μm wavelength,” IEE Proc. Optoelectron. 141, 178–184 (1994).
  4. G. A. Massey and A. E. Siegman, “Reflection and refraction of Gaussian light beams at tilted ellipsoidal surfaces,” Appl. Opt. 8, 975–978 (1969).
  5. G. A. Deschamps, “Ray techniques in electromagnetics,” Proc. IEEE 60, 1022–1035 (1972).
  6. S. Solimeno, B. Crosignani, and P. Diporto, Guiding, Diffraction and Confinement of Optical Radiation (Academic, New York, 1986), Chap. 2, pp. 81–89.
  7. S. Sarkar, K. Thyagarajan, and A. Kumar, “Gaussian approximation of the fundamental mode in single-mode elliptical core fibers,” Opt. Commun. 49, 178–183 (1984).
  8. D. Marcuse, “Loss analysis of single-mode fibre splices,” Bell Syst. Tech. J. 56, 703–718 (1977).
  9. S. N. Sarkar, B. P. Pal, and K. Thyagarajan, “Lens coupling of laser diodes to monomode elliptic core fibers,” J. Opt. Commun. 7, 92–96 (1986).
  10. H. M. Presby and C. A. Edwards, “Efficient coupling of polarisation maintaining fibre to laser diodes,” IEEE Photon. Technol. Lett. 4, 897–899 (1992).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited