| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Three-Dimensional Analytical Formula for Oblique and Off-Axis Gaussian Beams Propagating through a Cat-Eye Optical Lens |
ZHAO Yan-Zhong, SUN Hua-Yan, YU Xia-Qiong, FAN Meng-Shan
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| Academy of Equipment Command and Technology, Beijing 101416 |
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| Cite this article: |
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ZHAO Yan-Zhong, SUN Hua-Yan, YU Xia-Qiong et al 2010 Chin. Phys. Lett. 27 034101 |
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Abstract Based on the Collins formula in a cylindrical coordinate system and the method of introducing a hard aperture function into a finite sum of complex Gaussian functions, an approximate three-dimensional analytical formula for oblique and off-axis Gaussian beams propagating through a cat-eye optical lens is derived. Numerical results show that a reasonable choice of the obliquity factor would result in a better focus beam with a higher central intensity at the return place than that without obliquity, whereas the previous conclusion based on geometry optics is that the highest central intensity could be obtained when there is no obliquity.
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| Keywords:
41.85.Ja
42.60.Jf
42.25.Fx
42.79.Ci
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Received: 16 June 2009
Published: 09 March 2010
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| PACS: |
41.85.Ja
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(Particle beam transport)
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42.60.Jf
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(Beam characteristics: profile, intensity, and power; spatial pattern formation)
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42.25.Fx
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(Diffraction and scattering)
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42.79.Ci
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(Filters, zone plates, and polarizers)
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