A detailed theoretical procedure of determining the mode sizes of fund
amental mode field distribution in a coaxially pumped Ti-diffused Er:L
iNbO3 waveguide laser has been described. The mode sizes, effective re
fractive indexes, effective pump area, and coupling efficiency as a fu
nction of the initial Ti stripe width W were numerically calculated fo
r the waveguide with 95- and 100-nm initial Ti stripe thicknesses, res
pectively, The results indicated that the threshold pump power is seve
rely affected by the stripe width, while slope efficiency is hardly ch
anged as W; both show little difference between 95-and 100-mn stripe t
hickness. In addition, the stimulated emission cross section of Er3+ i
n Er:LiNbO3 channel waveguide versus the wavelength were calculated di
rectly from its fluorescence spectra using the beta-tau method. Subseq
uently, threshold pump power and slope efficiency were evaluated.