Loss calculations in weakly-guiding optical dielectric waveguides
Optics Communications, 23, (1), . (doi:10.1016/0030-4018(77)90136-5).
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The application of perturbation theory to a three-layer weakly-guiding slab waveguide composed of lossy dielectric media yields a simple formula for the attenuation coefficient alpha of a guided mode: alpha = (Sigma^3(i=1) alpha(i) P(i)) / (Sigma^3(i=1) P(i)), where alpha(i), P(i) are respectively the loss coefficient and model power in region i (i = 1,2,3). It is shown that this result can also be obtained from arguments based purely on geometric optics. The result is easily extended to apply to circularly-symmetric optical fibres where it yields confirmation of an earlier approximation for the power ratios P(i)/Sigma^2(i=1)P(i)
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