Iterative Fourier transform algorithm with regularization for the optimal design of diffractive optical elements
Related Experiment Video
Updated: Aug 20, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Hwi Kim1, Byungchoon Yang, Byoungho Lee
1National Research Laboratory of Holography Technologies, School of Electrical Engineering, Seoul National University, Kwanak-Gu Shinlim-Dong, Seoul 151-744, Korea.
Abstract:
There is a trade-off between uniformity and diffraction efficiency in the design of diffractive optical elements. It is caused by the inherent ill-posedness of the design problem itself. For the optimal design, the optimum trade-off needs to be obtained. The trade-off between uniformity and diffraction efficiency in the design of diffractive optical elements is theoretically investigated based on the Tikhonov regularization theory. A novel scheme of an iterative Fourier transform algorithm with regularization to obtain the optimum trade-off is proposed.
Related Concept Videos
Discrete-time Fourier transform
One of the notable...
Fast Fourier Transform
The computational efficiency of the FFT becomes...
Discrete Fourier Transform
Convergence of Fourier Series
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
Trigonometric Fourier series
The trigonometric Fourier series specifically expresses a periodic function with a defined period T using sine...
Discrete-Time Fourier Series
For a discrete-time periodic signal x[n]...

