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We have derived a novel uniform asymptotic solution for reflection of the Gaussian beam that is incident on a dielectric interface from a denser medium to a rarer one. The validity of the novel uniform asymptotic solution has been confirmed by comparing with the reference solution. It has been shown that the transition beam plays an important role to connect two different solutions smoothly through the transition region. It becomes apparent that, near the critical angle of the total reflection, the Gaussian beam is displaced to either direction by the interference between the geometrically reflected beam and the lateral beam.

A novel uniform asymptotic solution for reflection of a Gaussian beam at a dielectric interface