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- W2188778328 abstract "In this study, we propose a novel equivalent- waveguide concept to design the completely adiabatic tapered waveguides. The optimal combination of taper shape and refractive-index distribution in such ideal structures is obtained by applying a series of conformal mappings to transform a single-mode straight waveguide into an equivalent tapered configuration. In an ideal taper the curved phase-front effect verifies the constant -number concept is insufficient for designing a tapered waveguide. Also, the beam propagation method combined with the conformal mapping method is used to analyze the characteristics of light propagation in ideal structures. Simulation results predict that in the ideal taper a perfect mode-size conversion can be achieved adiabatically. tapering waveguide structure is not constant. Consequently, the completely adiabatic tapered waveguides can be achieved only by simultaneously altering the refractive index and the cross-section of structures. However, in designing the tapered waveguides of variable width and index, the problem of optimizing the taper shape and the refractive-index distribution in such structures arises. It is a well-known fact that a single-mode straight waveguide with homogeneous refractive-index distribution along the propaga- tion direction has the adiabatic property (i.e., its number is constant). Therefore, it is desirable that a completely adiabatic tapered waveguide behaves similar to the straight structure and possesses the capacity to convert optical mode sizes. Section II describes using the conformal mapping method how the single-mode straight waveguide is transformed into an equivalent tapered structure. The transformation results in an optimal combination of taper shape and refractive- index distribution in a completely adiabatic tapered waveguide. The relationship between refractive-index variation and taper length (or taper shape) is discussed in detail. In addition, by applying the conformal mapping method the phase front of guide mode propagating in the taper is constructed. The curved phase front in the taper reveals important mode-field properties; however, all of the proposed structures neglect this phenomenon. The influence of curved phase front on the design and analysis of tapered waveguides is a relevant topic in this paper. Finally, the transmission characteristics of the completely adiabatic tapered waveguide are analyzed by using the beam propagation method combined with the conformal mapping method. The analysis verifies that the predicted mode-size conversion and the completely adiabatic performance in the ideal structures are accomplished." @default.
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- W2188778328 date "1997-01-01" @default.
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- W2188778328 title "Design and Analysis of Completely Adiabatic" @default.
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