Abstract
According to the principle of weak measurement, when coupling the orbital angular momentum (OAM) state with a well-defined pre-selected and post-selected system of a weak measurement process, there will be an indirect coupling between position and topological charge (TC) of OAM state. Based on this we propose an experiment scheme and experimentally measure the TC of OAM beams from −14 to 14 according to the weak measurement principle. After the experiment the intrinsic OAM of the beams changed very little. Weak measurement, Topological Charge, OAM beams.
Highlights
Prior to those applications, one of the crucial issues is the precise determination of the topological charge (TC) of an unknown orbital angular momentum (OAM) beam
Based on ref.[52], when the value of TC expending to the negative range an unknown OAM state in the position space can be expressed as isgn(l)y σ where l is the TC, l ≠ 0 and sgn(⋅) is the sign function
We always adjust the parameters of the charge-coupled device (CCD) to control the maximal incident light intensity
Summary
One of the crucial issues is the precise determination of the TC of an unknown OAM beam. Interference is a convenient way to be employed, such as interfering the measured OAM beam with a uniform plane wave or its mirror image[27,28]. Another choice is utilizing diffraction patterns with a special mask, such as triangular aperture diffraction[29], multiple-pinhole diffraction[30], single or double slit(s) diffraction[31,32], angular double slits diffraction[33,34,35,36] and so on. A theoretical method is put forward to measure the OAM state by weak measurement process with the positive integral TC of the OAM beams[52]
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