Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number
We derive an analytical propagation expression for the Airy-Gaussian beam propagating through a thin lens, and calculate numerical examples to investigate its focusing properties. It is shown that the pattern formed in the focus plane can be controlled to demonstrate various geometries through tunin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719329535 |
| _version_ | 1819110807264296960 |
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| author | Jie Zhu Huiqin Tang Qilin Gao |
| author_facet | Jie Zhu Huiqin Tang Qilin Gao |
| author_sort | Jie Zhu |
| collection | DOAJ |
| description | We derive an analytical propagation expression for the Airy-Gaussian beam propagating through a thin lens, and calculate numerical examples to investigate its focusing properties. It is shown that the pattern formed in the focus plane can be controlled to demonstrate various geometries through tuning the beam parameters associated with the Airy function part. Moreover, we investigate the influence of the Fresnel number on the propagation properties, and find that decreasing values of the Fresnel number not only increase the size of the focusing spot, but also enhance the depth of field effectively. Our results provide a route for generating perfect squared or elliptic spot with extended depth of field through carefully adjusting the beam and optical system parameters, which may find some potential applications in various areas involving in the special beam profile. |
| first_indexed | 2024-12-22T03:47:35Z |
| format | Article |
| id | doaj.art-58c6401fca7b405c90ad6b6138722d76 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-22T03:47:35Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-58c6401fca7b405c90ad6b6138722d762022-12-21T18:40:06ZengElsevierResults in Physics2211-37972020-03-0116102854Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel numberJie Zhu0Huiqin Tang1Qilin Gao2College of Science, Guizhou Institute of Technology, Guiyang 550003, People’s Republic of China; Corresponding author.School of Physics and Electronics, Central South University, Changsha 410083, People’s Republic of ChinaCollege of Aerospace Engineering, Guizhou Institute of Technology, Guiyang 550003, People’s Republic of ChinaWe derive an analytical propagation expression for the Airy-Gaussian beam propagating through a thin lens, and calculate numerical examples to investigate its focusing properties. It is shown that the pattern formed in the focus plane can be controlled to demonstrate various geometries through tuning the beam parameters associated with the Airy function part. Moreover, we investigate the influence of the Fresnel number on the propagation properties, and find that decreasing values of the Fresnel number not only increase the size of the focusing spot, but also enhance the depth of field effectively. Our results provide a route for generating perfect squared or elliptic spot with extended depth of field through carefully adjusting the beam and optical system parameters, which may find some potential applications in various areas involving in the special beam profile.http://www.sciencedirect.com/science/article/pii/S2211379719329535Airy-Gaussian beamFocusing propertiesFresnel numberLight-sheet beam |
| spellingShingle | Jie Zhu Huiqin Tang Qilin Gao Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number Results in Physics Airy-Gaussian beam Focusing properties Fresnel number Light-sheet beam |
| title | Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number |
| title_full | Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number |
| title_fullStr | Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number |
| title_full_unstemmed | Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number |
| title_short | Propagation of an Airy-Gaussian beam passing through a lens with low effective Fresnel number |
| title_sort | propagation of an airy gaussian beam passing through a lens with low effective fresnel number |
| topic | Airy-Gaussian beam Focusing properties Fresnel number Light-sheet beam |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719329535 |
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