Second-harmonic generation by an astigmatic partially coherent beam

We investigate second-harmonic generation by an astigmatic partially coherent beam. An explicit expression for the second-order correlation function of the second-harmonic field is obtained. The properties of the generated field and the conversion efficiency for second-harmonic generation are studied numerically. We find that using an astigmatic instead of astigmatic partially coherent pump beam can increase the conversion efficiency of the second-harmonic generation. (c) 2007 Optical Society of America.