Abstract
A design method for fully adiabatic waveguide branches is developed for the first time. Mode conversion
between local normal modes is entirely suppressed through the explicit decoupling of the modes, where novel
parametric and graphical representations of the self-consistent orthogonal coupled-mode theory are utilized to
describe the strongly coupled part of the waveguide branches. A closed-form expression for an adiabatic condition is
derived, and the significance of degenerated waveguide patterns with nonuniform waveguide widths is clarified.
Validity of the method is tested by numerical simulations, and L<sup>-2</sup> dependence of the converted power to a circuit length is found. These results raise a fundamental
question about the meaning of the adiabaticity in the waveguide branches.
© 2007 IEEE
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