Sensing with Twisted Light: Precision Measurement of Fractional Azimuthal Index to Determine Refractive Index

arXiv:2508.19521v1 Announce Type: new
Abstract: Light beams possessing orbital angular momentum (OAM) have gained significant interest in areas such as optical manipulation, quantum entanglement, and super-resolved imaging. In itself, the OAM for a Laguerre-Gaussian beam is proportional to the azimuthal index of the light field, $l$. It is in fact continuous in nature and a non-trivial parameter to measure. The ability to determine $l$ precisely would broaden the use of such beams for new applications. In this study, we generate Laguerre-Gaussian beams of differing $l$ through mode conversion using microscopic spiral phase plates (SPPs). The exact value of $l$ imparted for a given incident wavelength is dependant upon the refractive index of the media within which the SPP is immersed. Here, we show an ultra-precise approach based on laser speckle to measure the azimuthal index of these generated beams to a precision of $2,{times},10^{-5}$. This is an improvement of three orders of magnitude over previous studies. In turn, this leverages an ultra-precise measurement of the refractive index of the medium surrounding the SPP, with a best measured precision of $6.4,{times},10^{-7}$,refractive index units. This is confirmed to be at the shot-noise limit of the system. Our study interrogates samples of sucrose and haemoglobin, only 300,pL in volume, within a microfluidic channel. This demonstration of an original form of microfluidic refractive index sensor, based on mode conversion to light fields with OAM, may be multiplexed to measure spatio-temporal variations and gradients within biological samples.