Recent progress in the development of curate asymptotic approximations to short-wavelength (semiclassical) scattering is reviewed. Complex angular momentum methods applied to Mie scattering have led to new insights into the diffraction effects associated with the standard critical situations in semiclassical scattering: near-forward diffractive scattering rainbow scattering glory scattering (forward and backward) and orbiting and resonance scauezing. A new diffraction effect near-critical scattering has also been treated. Tunneling plays an important role in all of these effects leading to a new conceptual picture of diffraction. 1.