We proposed a novel design concept of a mode adapter using a new parameter.
The overlap integration of two adjacent mode profiles is defined as a sing
le step loss (SSL) parameter for the characterization of optical mode confi
nement as well as the quantification of mode mismatch. The variation of SSL
is described with two parameters. These parameters are V, a normalized fre
quency, and s, a differential width variation ratio. The contour for consta
nt SSL in the V, s plane provides the optimized s curve as a function of V,
The design concept with this constant SSL is shown to provide optimized ad
apters of minimized conversion loss.