Abstract
This study proposes a method to reduce the calculation time and memory usage required for calculating cylindrical computer-generated holograms. The wavefront on the cylindrical observation surface is represented as a convolution integral in the 3D Fourier domain. The Fourier transformation of the kernel function involving this convolution integral is analytically performed using a Bessel function expansion. The analytical solution can drastically reduce the calculation time and the memory usage without any cost, compared with the numerical method using fast Fourier transform to Fourier transform the kernel function. In this study, we present the analytical derivation, the efficient calculation of Bessel function series, and a numerical simulation. Furthermore, we demonstrate the effectiveness of the analytical solution through comparisons of calculation time and memory usage.
© 2017 Optical Society of America
Full Article | PDF ArticleMore Like This
Yusuke Sando, Daisuke Barada, Boaz Jessie Jackin, and Toyohiko Yatagai
Appl. Opt. 57(23) 6781-6787 (2018)
Jia Jia, Yongtian Wang, Juan Liu, Xin Li, Yijie Pan, Zhumei Sun, Bin Zhang, Qing Zhao, and Wei Jiang
Appl. Opt. 52(7) 1404-1412 (2013)
Yusuke Sando, Masahide Itoh, and Toyohiko Yatagai
Opt. Express 13(5) 1418-1423 (2005)