Second-Harmonic Generation of Bessel Beams in Lossy Media

We present a further analysis for the second-harmonic generation of Bessel beams in lossy media. The emphasis is put on the effect of absorption to the radial pattern of the second-harmonic beam. It is shown that within the absorption length of the second harmonic, the Bessel second harmonic beam approches limited-diffracton in the radial direction and behaves as in the case of lossless media.