Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam.
The fractional Fourier transform (FRT) is applied to a partially coherent off-axis Gaussian Schell-model (GSM) beam, and an analytical formula is derived for the FRT of a partially coherent off-axis GSM beam. The corresponding tensor ABCD law for performing the FRT of a partially coherent off-axis GSM beam is also obtained. As an application example, the FRT of a partially coherent linear laser array that is expanded as a sum of off-axis GSM beams is studied. The derived formulas are used to provide numerical examples. The formulas provide a convenient way to analyze and calculate the FRT of a partially coherent off-axis GSM beam.
Zheng
Chongwei
C
Department of Physics and Electronic Information Science, Wenzhou University, Wenzhou, 325027, China. zcw6988@yahoo.com.cn