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Effective Curvature Matrices and Mixed Moments of General Pulsed Paraxial Beams |
| YANG Jun;FAN Dian-yuan |
| 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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YANG Jun, FAN Dian-yuan 1999 Chin. Phys. Lett. 16 894-895 |
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Abstract On the basis of the space-time Wigner distribution function, we use the least-squares fitting method to derive the relationship between effective wavefront curvature matrices and second-order mixed moments of quasimonochromatic and polychromatic pulsed paraxial beams. The expressions here are valid for both completely coherent and partially coherent light in the three-dimensional space. Finally, the fitting method is extended to the higher-order situation; from this, a novel technique for characterizing the beam phase from the moments and their derivatives is presented.
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| Keywords:
42.25.-p
42.60.Jf
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Published: 01 December 1999
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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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