Thin-films field-transfer matrix theory of planar multilayer waveguides and reflection from prism-loaded waveguides

A standard 2 × 2 matrix method-used in thin-film optics is applied to planar multilayer optical waveguides. All modes are required to satisfy substrate-to-cover field-transfer equations that reduce to the equation γcm11 + γcγsm12 + m21 + γsm22 = 0 for bound modes and leaky waves. Expressions are derived for the field profiles and the power in each medium. A first-order perturbation theory is developed and applied to absorbing multilayer guides and to the reflection of plane waves from the prism-loaded lossy multilayer guide. The latter leads to experimental arrangements for measuring losses in which the gap thickness and propagation constant are accessible parameters.

[1]  S. Shakir,et al.  Method of poles for multilayer thin-film waveguides , 1982 .

[2]  J. Chilwell.  Prism coupler jig: interference fringes enable observation of the coupling gap. , 1982, Applied optics.

[3]  I. Hodgkinson,et al.  Thin-film-synthesis algorithm for realization of refractive indices and Airy summation , 1982 .

[4]  J. Becher,et al.  Surface energy transfer enhanced by optical cavity excitation: a pole analysis , 1982 .

[5]  A. Katzir,et al.  Expression for the number of guided TE modes in periodic multilayered waveguides , 1981 .

[6]  J. Revelli.  Mode analysis and prism coupling for multilayered optical waveguides. , 1981, Applied optics.

[7]  J. Revelli.  Enhancement of prism coupling efficiency in uniform optical waveguides: A correction , 1981 .

[8]  D. Sarid,et al.  Prism coupling into clad uniform optical waveguides , 1980 .

[9]  Scatter losses of broadband interference coatings. , 1979, Applied optics.

[10]  H. Inaba,et al.  Efficient phase-matched second-harmonic generation method in four-layered optical waveguide structure. , 1978, Optics letters.

[11]  P. Yeh,et al.  Electromagnetic propagation in periodic stratified media. I. General theory , 1977 .

[12]  J F Lotspeich.  Explicit general eigenvalue solutions for dielectric slab waveguides. , 1975, Applied optics.

[13]  Wilhelm Prettl,et al.  Planar leaky light-guides and couplers , 1973 .

[14]  P. Tien.  Light waves in thin films and integrated optics. , 1971, Applied optics.

[15]  P. K. Tien,et al.  Theory of Prism–Film Coupler and Thin-Film Light Guides , 1970 .

[16]  R. Ulrich,et al.  Theory of the Prism–Film Coupler by Plane-Wave Analysis , 1970 .

[17]  R. Jacobsson,et al.  V Light Reflection from Films of Continuously Varying Refractive Index , 1966 .

[18]  H. Osterberg,et al.  Optical Characteristics of Planar Guided Modes , 1964 .