We derive an approximation for the transverse offset loss based on the
Laplacian mode-field half-width (MFHW) and far-field second moment fo
r two arbitrary identical noncircular single-mode waveguides. The rela
tion is reduced to the known result for circular-symmetric, single-mod
e waveguides. Numerical results for symmetrical rectangular waveguides
show that the transverse offset loss calculated from the Laplacian MF
HW is more accurate than that from the elliptical Gaussian MFHW for sm
all transverse offsets. To our knowledge, this is the first calculatio
n of the errors in the approximate transverse offset loss relations de
rived from the Laplacian and the elliptical Gaussian MFHW for noncircu
lar optical waveguides.