Advanced Optics Experiments Using Nonuniform Aperture Functions

TL;DR

This paper presents a method to generate nonuniform aperture functions using spatial frequency filtering, demonstrating various optical effects and their experimental validation for educational purposes.

Contribution

It introduces a novel approach to create complex aperture functions via spatial filtering, enhancing the teaching and understanding of Fourier optics phenomena.

Findings

Excellent agreement between experimental and calculated diffraction patterns.

Demonstration of apodization, inverse apodization, and super-resolution effects.

Method suitable for advanced optics laboratory experiments.

Abstract

A method to create instructive, nonuniform aperture functions using spatial frequency filtering is described. The diffraction from a single slit in the Fresnel limit and the interference from a double slit in the Fraunhofer limit are spatially filtered to create electric field distributions across an aperture to produce apodization, inverse apodization or super-resolution, and apertures with phase shifts across their widths. The diffraction effects from these aperture functions are measured and calculated. The excellent agreement between the experimental results and the calculated results makes the experiment ideal for use in an advanced undergraduate or graduate optics laboratory to illustrate experimentally several effects in Fourier optics.