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Vectorial Nonparaxial Four-Petal Gaussian Beams and Their Propagation in Free Space |
| 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 2070-2073 |
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Abstract The vectorial nonparaxial four-petal Gaussian beam (FPGB) is introduced. The closed-form propagation expressions for the free-space propagation of FPGBs are derived and their more general applicable advantages are illustrated analytically and numerically. Some special interesting cases, in particular the paraxial one, are discussed. It is found that the parameter f =1/kw0 with the k being the wave number and w0 being the waist width plays a crucial role in determining the nonparaxiallity of FPGBs. For small values of the f parameter the paraxial approximation is allowable. In the nonparaxial regime the beam order n additionally affects the vectorial and nonparaxial behaviour of FPGBs.
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| Keywords:
41.85.Ew
42.25.Bs
42.60.Jf
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Published: 01 August 2006
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| PACS: |
41.85.Ew
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(Particle beam profile, beam intensity)
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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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