Nonparaxial propagation of a partially coherent dark hollow beam |
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| Authors: | X Li and Y Cai |
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| Institution: | (1) School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, Sichuan Province, People’s Republic of China;(2) Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, 610209, People’s Republic of China;(3) School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore; |
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| Abstract: | Based on the generalized Raleigh-Sommerfeld diffraction integral, an analytical nonparaxial propagation formula of a partially
coherent dark hollow beam (DHB) in free space is derived. The paraxial approximation is dealt with as a special case of our
general result. By using the derived formula, the nonparaxial propagation properties of DHBs are studied and are compared
with the paraxial results. It is shown that the nonparaxiality properties of a partially coherent DHB are closely related
to its initial beam parameters (i.e., beam waist size, wavelength, coherence length, dark size) and the propagation distance. |
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