To measure the Orbital Angular Momentum (OAM) density of superposition fields two steps are needed: generation and measurement. An azimuthally-varying phase (bounded by a ring-slit) placed in the spatial frequency domain produces a higher-order Bessel beam. Superpositions which either do or do not possess a global OAM canthen be created.
Reference:
Dudley, A, Litvin, I and Forbes, A. Measuring the orbital angular momentum density for a superposition of Bessel beams. Proc. SPIE 8274, Complex Light and Optical Forces VI, 827406 (February 9, 2012); doi:10.1117/12.910779; http://dx.doi.org/10.1117/12.910779
Dudley, A. L., Litvin, I., & Forbes, A. (2012). Measuring the orbital angular momentum density for a superposition of Bessel beams. SPIE. http://hdl.handle.net/10204/6316
Dudley, Angela L, I Litvin, and A Forbes. "Measuring the orbital angular momentum density for a superposition of Bessel beams." (2012): http://hdl.handle.net/10204/6316
Dudley AL, Litvin I, Forbes A, Measuring the orbital angular momentum density for a superposition of Bessel beams; SPIE; 2012. http://hdl.handle.net/10204/6316 .
Copyright: 2012 Society of Photo Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. Published in Proc. SPIE 8274, Complex Light and Optical Forces VI, 827406 (February 9, 2012); doi:10.1117/12.910779; http://dx.doi.org/10.1117/12.910779