M. Servatkhah - Physics Department, Shiraz University, Shiraz ۷۱۴۵۴, Iran
H Nadgaran - Physics Department, Shiraz University, Shiraz ۷۱۴۵۴, Iran
M. Sabaeian - Physics Department, Shahid Chamran University, Ahwaz, Iran
S Hosseini - Physics Department, Shahid Chamran University, Ahwaz, Iran

Abstract- The Helmholtz-Gauss beam families such as Mathieu-Gauss (MG) and Bessel-Gauss (BG) beams are suffered from heat-induced thermal effect when is devoted to such thermally-induced sufferings on MG beams and uses the results of this type of studies recently performed on the BG beams. This study assumes a Hakola-type set up for the generation of MG beams. The results not only fully presents the various changes of these beams when passes through an ABCD system matrix, but also considers the beam quality of MG beams showing how the induced heat can deform the beam so considerably which they are no longer a true MG beam