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GRIN Planar Structures for Focusing, Collimation and Beam Size Control

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Abstract

Currently the terms GRadient INdex or GRaded INdex (GRIN) are often used to describe an inhomogeneous medium, that is, a medium in which the refractive index varies from point to point within it.1–2In a GRIN medium, the optical rays follow curved trajectories, instead of straight lines as in a homogeneous medium. By an appropriate choice of the refractive index profile, a GRIN medium can have the same effect on light rays as conventional optical components, such as a prism or a lens.

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References

  1. R. K. Luneburg, Mathematical Theory of Optics, U. California Press, Berkeley, Ca. (1964).

    Google Scholar 

  2. E. W. Marchand, Gradient Index Optics, Academic Press, New York (1978).

    Google Scholar 

  3. K. Iga, Y. Kokubun, and M. Oikawa, Fundamentals of Microoptics, Academic Press, New York (1984).

    Google Scholar 

  4. C. Gómez-Reino, GRIN optics and its application in optical connections,Int. J. Optoelectron.7: 607 (1992).

    Google Scholar 

  5. J. Linares, and C. Gómez-Reino, The optical propagator in a graded-index medium with hyperbolic secant refractive index profile,Appl. Opt.33: 3427 (1994).

    Article  Google Scholar 

  6. A. Fletcher, T. Murphy, and A. Young, Solutions of two optical problems,Proc. R. Soc. London Ser. A.233: 216 (1954).

    MathSciNet  Google Scholar 

  7. D. Bertilone, A. Ankiewicz, and C. Pask, Wave propagation in a graded-index taper,Appl. Opt.26: 2213 (1987).

    Article  Google Scholar 

  8. C. Bao, and C. Gómez-Reino, Collimation and focusing properties of a planar waveguide with hyperbolic secant refractive index profile: light deflector and collimator design,Opt. Quantum. Electron.27: 897 (1995).

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  9. C. Bao, M. V. Pérez, and C. Gómez-Reino, Coupling of planar waveguides with hyperbolic secant refractive-index profile by butt-joining: beam size controller design,Opt. Lett.21: 1078 (1996).

    Article  Google Scholar 

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© 1997 Springer Science+Business Media New York

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Gómez-Reino, C., Bao, C., Pérez, M.V. (1997). GRIN Planar Structures for Focusing, Collimation and Beam Size Control. In: Martellucci, S., Chester, A.N. (eds) Diffractive Optics and Optical Microsystems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1474-3_3

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  • DOI: https://doi.org/10.1007/978-1-4899-1474-3_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1476-7

  • Online ISBN: 978-1-4899-1474-3

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