Abstract
The use of surface-impedance and surface-admittance concepts for analyzing reflection and refraction at an isotropic dielectric interface (first developed about 1938) is extended to include an interface between uniaxial birefringent dielectrics. Total internal reflection and the polarizing (Brewster) angle at an anisotropic interface are shown to be naturally explainable in terms of surface impedance (for TM polarization) and surface admittance (for TE polarization). The allowable modes in an integrated optical uniaxial asymmetric dielectric slab waveguide are also shown to be directly obtainable using the surface impedance/admittance approach. Numerical examples are presented.
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References
J.A. Kong: Am. J. Phys.43, 73–76 (1975)
F.A. Jenkins, H.A. White.Fundamentals of Optics (McGraw-Hill, New York 1975)
M.Born, E. Wolf:Principles of Optics (Pergamon, New York 1975)
A. Wünsche: Ann. Phys.7, 201–214 (1970)
D.W. Berreman: J. Opt. Soc. Am.62, 502–510 (1972)
E.E. Bergmann: Bell Syst. Tech. J.61, 935–948 (1982)
H.C. Chen.Theory of Electromagnetic Waves (McGraw-Hill, New York 1983)
V.I. Dmitriev, M.N. Berdichevsky Proc. IEEE67, 1034–1044 (1979)
S.A. Schelkunoff: Bell Syst. Tech. J..17, 17–48 (1938)
R.E. Collin.Field Theory of Guided Waves (McGraw-Hill, New York 1960)
W.L. Weeks.Electromagnetic Theory for Engineering Applications Wiley, New York 1964)
S. Ramo, J.R. Whinnery, T. van Duzer:Fields and Waves in Communication Electronics (Wiley, New York 1965)
K.G. Budden.Radio Waves in the Ionosphere (Cambridge Univ. Press, Cambridge 1961)
L.M. Brekhovskikh.Waves in Layered Media (Academic, New York 1980)
M.A. Leontovitch: Izv. Akad. Nauk SSSR, Ser. Fiz.8, 16 (1944)
M.A. Leontovitch, V.A. Fock: Zh. Eksp. Teor. Fiz.16, 557 (1946)
M.V. Klein:Optics (Wiley, New York 1970)
In [Ref. 17, pp. 603–604] it is stated that total internal reflection occurs under two conditions at a uniaxial interface: 1) if the wavevector of the transmitted wave is parallel to the interface or 2) if the power of the transmitted wave is parallel to the interface. The first condition is erroneous!
H.K.V. Lotsch Optik32, 116, 189, 299, 553 (1970/71)
H.G. Unger: InIntegrated Optics, ed. by S. Martellucci and A.N. Chester (Plenum, New York 1983) pp. 11–47
O. Schwelb: IEEE Trans. MTT30, 899–905 (1982)
S. Wang, M. Shah, J.D. Crow: J. Appl. Phys.43, 1861–1875 (1972)
T. Tamir (ed.):Integrated Optics, 2nd ed. Topics Appl. Phys.7 (Springer, Berlin Heidelberg 1979) p. 20
R.G. Hunsperger:Integrated Optics: Theory and Technology, Springer Ser. Opt. Sci.33 (Springer, Berlin, Heidelberg 1984) p. 28
R.V. Schmidt, I.P. Kaminow: Appl. Phys. Lett.25, 458–460 (1974)
A. Knoesen, T.K. Gaylord: In preparation
L.B. Felsen, N. Marcuwitz:Radiation and Scattering of Waves (Prentice Hall, New York 1973) pp. 101–102
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Knoesen, A., Moharam, M.G. & Gaylord, T.K. Electromagnetic propagation at interfaces and in waveguides in uniaxial crystals. Appl. Phys. B 38, 171–178 (1985). https://doi.org/10.1007/BF00697480
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DOI: https://doi.org/10.1007/BF00697480