Variational analysis of z scan of thick medium with an elliptic Gaussian beam.
By variational approach, we analyze the characteristics of beam propagation through a cubic optical nonlinear medium using a laser beam that has a transverse elliptic Gaussian profile. The analytic solution to the normalized transmittance at the center of the far field as a function of medium position and the beam characteristics is obtained and compared with the numerical simulation, which is realized by a combination of algorithms. We also analyze the peak-valley transmittance difference as a function of medium length, ellipticity, and a stigmatism. The relationship between peak-valley normalized transmittance difference of the z-scan trace and aperture size or the slit width are obtained. Meanwhile, the comparison of z-scan characteristics with an elliptic Gaussian beam with those using a circular symmetric Gaussian beam is made.
Zang
Wei-Ping
WP
Photonic Center, College of Physics, Nankai University, Tiajin 300071, China.
Tian
Jian-Guo
JG
Liu
Zhi-Bo
ZB
Zhou
Wen-Yuan
WY
Zhang
Chun-Ping
CP
Zhang
Guang-Yin
GY