Ct. Lee et al., DESIGN AND ANALYSIS OF COMPLETELY ADIABATIC TAPERED WAVE-GUIDES BY CONFORMAL MAPPING, Journal of lightwave technology, 15(2), 1997, pp. 403-410
In this study, we propose a novel equivalent-waveguide concept to desi
gn the completely adiabatic tapered waveguides. The optimal combinatio
n of taper shape and refractive-index distribution in such ideal struc
tures is obtained by applying a series of conformal mappings to transf
orm a single-mode straight waveguide into an equivalent tapered config
uration. In an ideal taper the curved phase-front effect verifies the
constant V-number concept is insufficient for designing a tapered wave
guide. Also, the beam propagation method combined with the conformal m
apping method is used to analyze the characteristics of light propagat
ion in ideal structures. Simulation results predict that in the ideal
taper a perfect mode-size conversion can be achieved adiabatically.