caa a22 4500 445371803 CHVBK 20180317142949.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00340-010-4095-6 doi (NATIONALLICENCE)springer-10.1007/s00340-010-4095-6 Nonparaxial propagation of a partially coherent dark hollow beam [Elektronische Daten] [X. Li, Y. Cai] 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. Springer-Verlag, 2010 Li X. School of Physical Science and Technology, Soochow University, 215006, Suzhou, China aut Cai Y. School of Physical Science and Technology, Soochow University, 215006, Suzhou, China aut Applied Physics B Springer-Verlag 102/1(2011-01-01), 205-213 0946-2171 102:1<205 2011 102 340 https://doi.org/10.1007/s00340-010-4095-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00340-010-4095-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li X. School of Physical Science and Technology, Soochow University, 215006, Suzhou, China aut NATIONALLICENCE 700 1- Cai Y. School of Physical Science and Technology, Soochow University, 215006, Suzhou, China aut NATIONALLICENCE 773 0- Applied Physics B Springer-Verlag 102/1(2011-01-01), 205-213 0946-2171 102:1<205 2011 102 340 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer