Coupled Mode Formalism for Guided Wave Interactions

  • Amnon Yariv


Consider two electromagnetic modes with, in general, different frequencies whose complex amplitudes are A and B. These are taken as the eigenmodes of the unperturbed medium so that they represent propagating disturbances
$$ \begin{gathered} a\left( {z,t} \right) = A{e^{i\left( {{\omega _a}t - {\beta _a}z} \right)}} \hfill \\ b\left( {z,t} \right) = B{e^{i\left( {{\omega _b}t \pm {\beta _b}z} \right)}} \hfill \\ \end{gathered} $$
with A and B constant.


Dielectric Waveguide Polarization Wave Slab Waveguide Optical Guide Wave Unperturbed Medium 
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  1. 1.
    Amnon Yariv, “On the Coupling Coefficients in the Coupled-Mode Theory, Proc. IRE 46, 1956 (1958).Google Scholar
  2. 2.
    Dietrich Marcuse, Light Transmission Optics (Van Nostrand Reinhold Company, New York, 1972).Google Scholar
  3. 3.
    Dietrich Marcuse, “Mode Conversion Caused by Surface Imperfections of a Dielectric Slab Waveguide,” Bell Syst. Tech. J. 48, 3187(1969).Google Scholar
  4. 4.
    M. L. Dakss, L. Kuhn, P. F. Heidrich, and B. A. Scott, “Grating Coupler for Efficient Excitation of Optical Guided Waves in Thin Films,” Appl. Phys. Letters 16, 523 (1970).ADSCrossRefGoogle Scholar
  5. 5.
    Amnon Yariv, Introduction to Optical Electronics (Hold Rinehart and Winston, Inc., 1971), p. 190.Google Scholar
  6. 6.
    D. B. Anderson and J. T. Boyd, Appl. Phys. Lett. 19, 266 (1971).ADSCrossRefGoogle Scholar
  7. 7.
    Sasson Somekh and Amnon Yariv, “Phase Matching by Periodic Modulation of the Nonlinear Optical Properties,” Opt. Commun. 6, 301 (1972).ADSCrossRefGoogle Scholar
  8. 8.
    L. Kuhn, M. L. Dakss, P. F. Heidrich, and B. A. Scott, “Deflection of Optical Guided Waves by a Surface Acoustic Wave,” Appl. Phys. Lett. 17, 265 (1970).ADSCrossRefGoogle Scholar
  9. 9.
    R. W. Dixon, “The Photoelastic Properties of Selected Materials and Their Relevance to Acoustic Light Modulators and Scanners,” J. Appl. Phys. 38, 5149 (1967).ADSCrossRefGoogle Scholar
  10. 10.
    C. Kittel, Introduction to Solid State Physics (John Wiley and Sons, Inc., 4th ed., Chapter 9).Google Scholar
  11. 11.
    K. Sakuda and A. Yariv, Optics Commun. 8, 1 (1973).ADSCrossRefGoogle Scholar

Copyright information

© University of California 1974

Authors and Affiliations

  • Amnon Yariv
    • 1
  1. 1.California Institute of TechnologyPasadenaUSA

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