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Nonparaxial Dark-Hollow Gaussian Beams |
| GAO Zeng-Hui1,2;LÜ Bai-Da2 |
| 1Institute of Optoelectronic Information, Yibin University, Yibin 644000
2Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064 |
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| Cite this article: |
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GAO Zeng-Hui, LÜ, Bai-Da 2006 Chin. Phys. Lett. 23 106-109 |
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Abstract The concept of nonparaxial dark-hollow Gaussian beams (DHGBs) is introduced. By using the Rayleigh--Sommerfeld diffraction integral, the analytical propagation equation of DHGBs in free space is derived. The on-axis intensity, far-field equation and, in particular, paraxial expressions are given and treated as special cases of our result. It is shown that the parameter f =1/kw0 with k being the wave number and w0 being the waist width determines the nonparaxiality of DHGBs. However, the parameter range, within which the paraxial approach is valid, depends on the propagation distance. The beam order affects the beam profile and position of maximum on-axis intensity.
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| Keywords:
41.85.Ev
42.25.Bs
42.60.Jf
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Published: 01 January 2006
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| PACS: |
41.85.Ev
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42.25.Bs
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(Wave propagation, transmission and absorption)
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42.60.Jf
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(Beam characteristics: profile, intensity, and power; spatial pattern formation)
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