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A New Method for Interpreting the Effective Radius of Curvature: Two-Dimensional Case |
| CAO Qing;DENG Xi-ming |
| National Laboratory on High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 |
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| Cite this article: |
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CAO Qing, DENG Xi-ming 1997 Chin. Phys. Lett. 14 421-423 |
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Abstract Starting from the vector field theory, the expression of the time average energy flow density < S > of a paraxial scalar light beam is deduced. In terms of this expression, the x (or y) directional weighted deviation is reasonably defined between the real-beam wavefrontand an imaginary ellipsoidal wavefront which is used to replace the real-beam wavefront. It is proved that, when Rx and Ry are just the x and y directional effective radii of curvature, respectively, the ellipsoidal wavefront Le = x2/(2Rx) + y2/(2 Ry) is the best-fit one for the real-beam wavefront L. Finally, the above results are generalized for a general polychrornatic light beams.
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| Keywords:
42.25.-p
42.60.Jf
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Published: 01 June 1997
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| PACS: |
42.25.-p
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(Wave optics)
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42.60.Jf
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(Beam characteristics: profile, intensity, and power; spatial pattern formation)
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