Optical measurement, imaging and computing

Laguerre-Gaussian modes represent eigen solutions of the paraxial Helmholtz equation, offering versatile capabilities across various applications. Notably, they serve as typical orbital angular momentum (OAM) modes, enhancing the precision of measuring rotational angles and speeds. The orthogonality inherent in these modes is harnessed for high-capacity holographic multiplexing. Laguerre-Gaussian modes form a comprehensive modal basis, extensively applied for analyzing both static and rotating light fields. Additionally, our research has led to the development of advanced techniques in quantum-enhanced phase measurement, single-pixel sensing, polarization detection, and optical artificial intelligence.