The dramatic progress in optical communication is attributed to the development of wavelength-division multiplexing and time-division multiplexing technologies, which employ broadband light source and ultrashort optical pulses respectively to carry signals in optical fibers. Supercontinuum generation is the spectral broadening of narrow-band incident pulses by the propagation through optical waveguides made of nonlinear materials. In this PhD dissertation, I show the design of a tapered lead-silicate optical fiber for supercontinuum generation. The physical mechanisms of optical pulse evolution are explained, which involve various nonlinear optical effects including self-phase and cross-phase modulation, stimulated Raman scattering, four-wa...