Abstract
As is well known, the basic process of light propagation in optical waveguides is due to the total internal reflection of the light at two or more interfaces. In the case of two parallel and abrupt interfaces the process is simply the zig-zag reflection of the light beam, while in the case of a graded refractive-index profile we can understand propagation by considering the grading to occur in a large number of small steps. Then a light beam that enters the waveguide at its center (maximum refractive index) will at first be refracted a number of times, and will eventually be turned around by total internal reflection. Thus, the beam can be expected to follow a smooth and periodic path.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Born, E. Wolf: Principles of Optics (Pergamon, Oxford, New York 1975 )
T. Tamir: Optik 36, 209–232 (1972)
T. Tamir: Optik 37, 204–228 (1973)
T. Tamir: Optik 38, 269–297 (1973)
F. Goos, H. Hänchen: Ann. Phys. (Lpz.) 6, 333 (1947)
H.K.V. Lotsch: Optik 32, 116–137, 189–204 (1970)
H.K.V. Lotsch: Optik 32, 299–319, 553–569 (1971)
H.K.V. Lotsch: J. Opt. Soc. Am. 58, 551–561 (1968)
I. Newton: Optics (Dover, New York 1952) reproduction
B. Horowitz, T. Tamir: J. Opt. Soc. Am. 61, 586 (1971)
A.I. Mahan, C.V. Bitterli: Appl. Opt. 17, 509 (1978)
A.W. Snyder, I.D. Love: IEEE Trans. MTT-23, 134 (1975)
I.D. Love, A.W. Snyder: J. Opt. Soc. Am. 65, 1072 (1975)
I.D. Love, A.W. Snyder: J. Opt. Soc. Am. 65, 1241 (1975)
L.M. Brekhovskikh: Waves in Layered Media ( Academic, New York 1960 )
S. Kozaki, Y. Mushiake: J. Appl. Phys. 46, 4098 (1975)
S. Kozaki, K. Kimura: J. Opt. Soc. Am. 66, 63 (1976)
S. Kozaki, K. Kimura: Trans. IECE 59-B, 238 (1976) (in Japanese)
H. Kogelnik: Proc. Symp. Modern Optics, ed. by I. Fox ( Polytechnic Press, New York 1967 )
H. Kogelnik: Bell Syst. Tech. J. 48, 2909 (1969)
V. Shah, T. Tamir: Opt. Commun. 23, 113 (1977)
R.I. Collier, Ch.B. Burckhardt, L.H. Lin: Optical Holography ( Academic, New York 1971 )
Ju.P. Udojev, V.A. Ovchinnikov: Opt. Spectroscopy 45, 363 (1978)
J.W. Goodman: Introduction to Fourier Optics ( McGraw-Hill, New York 1968 )
H.K.V. Lotsch: Optik 27, 339 (1968)
H. Kogelnik: “Theory of Dielectric Waveguides” in Integrated Optics 2nd ed., ed. by T. Tamir, Topics in Applied Physics, Vol. 7 ( Springer, Berlin, Heidelberg, New York 1979 )
M.K. Barnoski: “Planar Waveguides - One Dimensional Case” in Introduction to Integrated Optics, ed. by M.K. Barnoski ( Plenum, New York 1974 )
D. Marcuse: Light Transmission Optics ( Van Nostrand-Reinold, New York 1971 )
H.-G. Unger: Planar Optical Waveguides and Fibers ( Clarendon, Oxford 1977 )
P.K. Tien: Rev. Mod. Phys. 49, 361 (1977)
N. Fröman, P.O. Fröman: JWKB Approximation ( North-Holland, Amsterdam 1965 )
L. Landau, E. Lifschitz: Electrodynamics of Continuous Media, Theoretical Physics, Vol. 8 ( Mir, Moscow 1969 )
M. Abramovitch, I.A. Stegun: Handbook of Mathematical Functions ( Dover, New York 1970 )
D. Hondros, P. Debye: Ann. Phys. 32, 465–476 (1910)
N.S. Kapany, J.J. Burke: Optical Waveguides ( Academic, New York 1972 )
D. Gloge: IEEE Trans. MTT-23, 106 (1975)
G. Arfken: Mathematical Methods for Physicists ( Academic, New York 1970 )
A.B. Sharma, J. Saijonamaa, S.J. Halme: Electron. Lett. 16, 557 (1980)
D. Gloge, E.A.J. Marcatili: Bell Syst. Tech. J. 52, 1563 (1973)
I.S. Gradshteyn, I.M. Ryzhik: Tables of Integrals, Series, and Products ( Academic, New York 1965 )
J.J. Ramskov.Hansen: Appl. Opt. 17, 2831 (1978)
J.W. Goodman: J. Opt. Soc. Am. 66, 1145 (1976)
J.W. Goodman: “Statistical Properties of Laser Speckle Patterns” in Laser Speckle and Related Phenomena, ed. by J.C. Dainty, Topics in Applied Physics, Vol. 9 ( Springer, Berlin, Heidelberg, New York 1975 )
B. Crosignani, B. Daino, P. DiPorto: Opt. Commun. 11, 178 (1974)
B. Crosignani, B. Daino: J. Opt. Soc. Am. 66, 1312 (1976)
M. Imai, T. Asakura: Optik 48, 335 (1977)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sharma, A.B., Halme, S.J., Butusov, M.M. (1981). Light Propagation in Waveguides. In: Optical Fiber Systems and Their Components. Springer Series in Optical Sciences, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38471-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-38471-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-13518-1
Online ISBN: 978-3-540-38471-7
eBook Packages: Springer Book Archive