Abstract

Based on the ABCD matrix method and Collins diffraction integral formula, analytical expression for Bessel–Gaussian beam propagation in a gradient-index medium is derived. The propagation trajectory, intensity, and phase distributions of the zeroth-order, second-order, and superposition cases are numerically investigated. The effect of beam waist radius w0 on the properties of beam propagation in a gradient-index medium is discussed in detail. The result shows that the beam is focused at z/L=N/2 (N=0,1,2,) and propagates periodically in the medium. Evolution of the vortical structure of the superposed Bessel–Gaussian beam is investigated, showing that the superposed beam forms new singularities, and the rotation of the beam occurs mainly near the singularities.

© 2019 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Propagation of on-axis and off-axis Bessel beams in a gradient-index medium

Zhaolou Cao, Chunjie Zhai, Shanshan Xu, and Yunyun Chen
J. Opt. Soc. Am. A 35(2) 230-235 (2018)

Propagation properties of Airy–Gaussian vortex beams through the gradient-index medium

Ruihuang Zhao, Fu Deng, Weihao Yu, Jiayao Huang, and Dongmei Deng
J. Opt. Soc. Am. A 33(6) 1025-1031 (2016)

Propagation and dynamical characteristics of a Bessel–Gaussian beam in a chiral medium

Yuanfei Hui, Zhiwei Cui, Yongxu Li, Wenjuan Zhao, and Yiping Han
J. Opt. Soc. Am. A 35(8) 1299-1305 (2018)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription