The fractional Fourier transform (FRT) is becoming important in optics and can be used as a new tool to analyze many optical problems. However, we point out that the FRT might be much more sensitive to parameters than the conventional Fourier transform. This sensitivity leads to higher requirements on the optical implementation. On the other hand, high parametric sensitivity can be used in optical diffraction measurements. We give the first proposal, to our knowledge, of the FRT’s applications in optical measurement.
© 1997 Optical Society of America
Zhiping Jiang, Qisheng Lu, and Yijun Zhao, "Sensitivity of the fractional Fourier transform to parameters and its application in optical measurement," Appl. Opt. 36, 8455-8458 (1997)