Related Experiment Video
Updated: Jun 16, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
Optical fourier transformation of area-modulated spatial functions
Abstract:
A one-dimensional function may be represented spatially as an aperture in an opaque screen where the aperture's width is proportional to the function. When such an area-modulated screen is the input to a standard coherent optical fourier transformer, the amplitude of the light along one axis on the output plane is proportional to the fourier transform of the original function. Continuous and sampled area modulation for single and multichannel operation are discussed. Experimental agreement with the expected results is obtained. Hybrid configurations combining area and optical-density modulation are discussed.
Related Concept Videos
Properties of Fourier Transform I
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
Parseval's Theorem for Fourier transform
To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a signal's...
Properties of Fourier Transform II
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
Basic signals of Fourier Transform
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at zero. It...
Discrete Fourier Transform
Properties of Fourier series I

