Abstract
A GRIN lens consists of a cylinder of inhomogeneous dielectric material with a refractive index distribution that has a maximum at the cylinder axis and decreases continuously from the axis to the periphery along the transverse direction. The focusing and transforming capabilities of GRIN lenses come from a quadratic variation in refractive index with radial distance from the axis. In a GRIN lens, rays follow sinusoidal trajectories as if they were curved (bent) by a force toward the higher refractive index. The imaging and transforming rules of GRIN lenses are, in principle, the same as those for homogeneous lenses, but there are differences in behavior between them. For instance, the focal length of a GRIN lens only depends on the lens thickness assuming planar input and output faces. This means that a GRIN lens can behave as a convergent, divergent, or telescopic lens depending on its thickness. Therefore, it is important that GRIN lenses be designed properly to perform typical functions as on-axis and off-axis imaging, collimation, and focusing in optical systems.
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References
Selfoc Catalog (Nippon Sheet Glass Co. Ltd., Tokyo 1987)
C. Gomez-Reino, J. Linares, E. Larrea: J. Opt. Soc. Am. A 3, 1604 (1986)
C. Gomez-Reino, J. Linares, J. Sochacki: Appl. Opt. 25, 1076 (1986)
C. Gomez-Reino, J. Linares: J. Opt. Soc. Am. A 4, 1337 (1987)
C. Gomez-Reino, J. Linares: Appl. Opt. 25, 3418 (1986)
J.W. Goodman: Introduction to Fourier Optics, 2nd edn. ( McGraw-Hill, New York 1995 ), Chap. 5
A. Vanderlugt: Optical Signal Processing (John Wiley and Sons, New York 1992), Chap. 3 3.8 J.R. Flores, C. Gomez-Reino, E. Acosta, J. Linares: Opt. Eng. 28, 1173 (1989)
L. Montagnino: J. Opt. Soc Am. 58, 1667 (1968)
E.W. Marchand: J. Opt. Soc. Am. 60, 1 (1970) and Appl. Opt. 11, 1104 (1972) 3.11 F.P. Kapron: J. Opt. Soc. Am. 60, 1433 (1970)
P.J. Sands: J. Opt. Soc. Am. 61, 879 (1971)
W. Streifer, K.P. Paxton: Appl. Opt. 20, 769 (1971)
D.T. Moore: J. Opt. Soc. Am. 65, 451 (1975)
S.J.S. Brown: Appl. Opt. 19, 1056 (1980)
M.E. Harrigan: Appl. Opt. 23, 2702 (1984)
E. Acosta, C. Gomez-Reino, J. Linares: Appl. Opt. 26, 2952 (1987)
J. Rogers, M.E. Harrigan, R.P. Loce: Appl. Opt. 27, 452 and 459 (1988)
C. Gomez-Reino, E. Acosta, M.V. Perez: Jpn. J. Appl. Phys. 31, 1582 (1992) 3.20 C. Bao, C. Gomez-Reino, M.V. Perez: Opt. Commun. 172, 1 (1999)
K. Iga, Y. Kokubun, M. Oikawa: Fundamentals of Microoptics (Academic Press, New York 1984), Chap. 5
C. Gomez-Reino, E. Larrea: Appl. Opt. 22, 970 (1983)
C. Gomez-Reino, M.V. Perez, E. Larrea: Opt. Commun. 47, 369 (1983)
I.S. Gradshteyn, I.M. Ryzhik: Tables of Integrals, Series and Products (Academic Press, New York 1980), Sect. 8. 57
M. Born, E. Wolf: Principles of Optics (Pergamon Press, New York 1975), Chap. 8
C. Gomez-Reino, E. Acosta, J. Linares: J. Mod. Opt. 34, 1501 (1987)
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© 2002 Springer-Verlag Berlin Heidelberg
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Gomez-Reino, C., Perez, M.V., Bao, C. (2002). GRIN Lenses for Uniform Illumination. In: Gradient-Index Optics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04741-5_3
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DOI: https://doi.org/10.1007/978-3-662-04741-5_3
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