The rectangular dielectric waveguide is the most commonly used structure in integrated optics, especially in semiconductor diode lasers. Demands for new applications such as high-speed data backplanes in integrated electronics, waveguide filters, optical multiplexors, and optical switches are driving technology toward better materials and processing techniques for planar waveguide structures. The infinite slab and circular waveguides that we have already studied are not practical for use on a substrate: the slab waveguide has no lateral confinement, and the circular fiber is not compatible with the planar processing technology being used to make planar structures. The rectangular waveguide is the natural structure.
KeywordsEffective Index Comer Region Rectangular Waveguide Propagation Coefficient Ridge Waveguide
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- E. A. J. Marcatili, “Dielectric Rectangular Waveguide and Directional Coupler for Integrated Optics,” Bell System Tech. J., 48, 2071–2102 (1969)Google Scholar
- see for example, D. Marcuse, Theory of Dielectric Waveguides, 2nd ed., p. 49, Academic Press, San Diego, (1991)Google Scholar
- This equation is for a partictilar state of strain in the SiGe layer. The “exact” formula would be nsiGe y = n,, + x(0.18(1 — x) + 0.09x) where x describes the lattice relaxation. In this case the lattice is 84% relaxed, so x = 0.84.Google Scholar