Abstract
Marcatili's famous approximate analytical description
of light propagating through rectangular dielectric waveguides, published
in 1969, gives accurate results for low-index-contrast waveguides. However,
photonic-integrated circuit technology has advanced to high-index-contrast
(HIC) waveguides. In this paper, we improve Marcatili's model by adjusting
the amplitudes of the components of the electromagnetic fields in his description.
We find that Marcatili's eigenvalue equation for the propagation constant
is also valid for HIC waveguides. Our improved method shows much better agreement
with rigorous numerical simulations, in particular for the case of HIC waveguides.
We also derive explicit expressions for the effective group index and the
effects of external forces on the propagation constant. Furthermore, with
our method, the phenomenon of avoided crossing of modes is observed and studied.
© 2012 IEEE
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