Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
Volume 32, Issue 10, Pages 1805-1810Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAA.32.001805
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Funding
- Ministry of Education and Science of the Russian Federation
- Russian Federation [NSh-3970.2014.9]
- Russian Foundation of Basic Research [13-07-97008, 14-07-31092, 14-29-07133, 15-07-01174, 15-37-20723, 15-47-02492]
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We have formulated and proven the following theorem: the superposition of an arbitrary number of arbitrarily off-axis, identical nonparaxial optical vortex beams of arbitrary radially symmetric shape, integer topological charge n, and arbitrary real weight coefficients has the normalized orbital angular momentum (OAM) equal to that of individual constituent identical beams. This theorem enables generating vortex laser beams with different (not necessarily radially symmetric) intensity profiles but identical OAM. Superpositions of Bessel, Hankel Bessel, Bessel-Gaussian, and Laguerre-Gaussian beams with the same OAM are discussed. (C) 2015 Optical Society of America
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