Abstract
We present an approximate semianalytical technique for the calculation of the loss coefficient of leaky modes
in 3-D hollow dielectric waveguides having an arbitrary cross section. The hollow waveguides are assumed to have an
axis of symmetry and to have a cladding with a higher refractive index than the core. An expression for the modal
loss coefficient is derived using a ray-optics approach with paraxial approximation. For the special cases of
specific cross sections with known solutions, our technique gives results that are identical to the available
analytical solutions. The technique is then applied on practical waveguide geometries, allowing the calculation of
polarization- and wavelength-dependent losses. Full numerical alternatives to the technique involve time-consuming
simulations and, sometimes, difficulty in incorporating a suitable boundary condition to obtain leaky-mode
solutions.
© 2007 IEEE
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