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Journal of Modern Optics Volume 48, 2001 - Issue 10
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Paper

An analysis of the angular momentum of a light field in terms of angular harmonics

S. N. Khonina Image Processing System Institute RAS, 151, Molodogvardejskaya st., 443001, Samara, Russia
,
V. V. Kotlyar Image Processing System Institute RAS, 151, Molodogvardejskaya st., 443001, Samara, Russia
,
V. A. Soifer Image Processing System Institute RAS, 151, Molodogvardejskaya st., 443001, Samara, Russia
,
P. Pääkkönen Department of Physics, University of Joensuu, PO Box 111, FIN-80101, Joensuu, Finland
,
J. Simonen Department of Physics, University of Joensuu, PO Box 111, FIN-80101, Joensuu, Finland
&
J. Turunen Department of Physics, University of Joensuu, PO Box 111, FIN-80101, Joensuu, Finland
Pages 1543-1557 | Received 20 Nov 2000, Published online: 03 Jul 2009

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S.N. Khonina, V.V. Kotlyar, R.V. Skidanov, V.A. Soifer, K. Jefimovs, J. Simonen & J. Turunen. (2004) Rotation of microparticles with Bessel beams generated by diffractive elements. Journal of Modern Optics 51:14, pages 2167-2184.
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S.N. Khonina, V.V. Kotlyar, V.A. Soifer, K. Jefimovs & J. Turunen. (2004) Generation and selection of laser beams represented by a superposition of two angular harmonics. Journal of Modern Optics 51:5, pages 761-773.
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V. V. Kotlyar, A. A. Kovalev & A. P. Porfirev. (2015) Vortex Hermite–Gaussian laser beams. Optics Letters 40:5, pages 701.
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. 2013. Computer Design of Diffractive Optics. Computer Design of Diffractive Optics 671 787 .
Zhongxi Wang, N. Zhang & X.-C. Yuan. (2011) High-volume optical vortex multiplexing and de-multiplexing for free-space optical communication. Optics Express 19:2, pages 482.
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N. Zhang, Jeffrey A. Davis, Ignacio Moreno, Don M. Cottrell & X.-C. Yuan. (2010) Analysis of multilevel spiral phase plates using a Dammann vortex sensing grating. Optics Express 18:25, pages 25987.
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Chunqing Gao, Xiaoqing Qi, Yidong Liu & Horst Weber. (2009) Superposition of helical beams by using a Michelson interferometer. Optics Express 18:1, pages 72.
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