Abstract

Propagation characteristics of finite Airy-Gaussian beams through an apertured misaligned first-order ABCD optical system are studied. In this work, the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions are used. The propagation of Airy-Gaussian beam passing through: an unapertured misaligned optical system, an apertured aligned ABCD optical system and an unapertured aligned ABCD optical system are derived here as particular cases of the main finding. Some numerical simulations are performed in the paper.

Highlights

  • Airy beam is initially predicted theoretically, in quantum physics, as a solution of force-free Schrödinger equation by Berry and Balazs [1] in 1979

  • How to cite this paper: Ez-Zariy, L., Hennani, S., Nebdi, H. and Belafhal, A. (2014) Propagation Characteristics of Airy-Gaussian Beams Passing through a Misaligned Optical System with Finite Aperture

  • In [13], Bandres and GutierrezVega have introduced for the first time, the so-called generalized Airy-Gaussian beam and treated its propagation properties through different complex paraxial optical systems characterized by ABCD matrices

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Summary

Introduction

Airy beam is initially predicted theoretically, in quantum physics, as a solution of force-free Schrödinger equation by Berry and Balazs [1] in 1979. In [13], Bandres and GutierrezVega have introduced for the first time, the so-called generalized Airy-Gaussian beam and treated its propagation properties through different complex paraxial optical systems characterized by ABCD matrices. This generalized Airy-Gaussian beam carries a finite energy and can be realized experimentally.

Theory
Apertured Aligned Optical System
Numerical Simulations and Discussions
Conclusion

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