In this paper, we have proposed the asymptotic solutions for the transmission and scattering of the Gaussian beam that is incident on a plane dielectric interface from the denser medium. We have confirmed the validity of the asymptotic solutions by compared with the reference solution obtained numerically from the integral representation. We have shown that, like the reflected Gaussian beam, the beam shift also appears in the transmitted Gaussian beam. We have also derived the asymptotic solution for the beam shift. | Asymptotic analysis for transmitted gaussian beam through a plane dielectric interface
