Weak-value imaging via quantum-classical correspondence

Abstract

The paraxial Helmholtz equation derived from the Maxwell equation can be linked to the two-dimensional Schrödinger equation in quantum mechanics. This relationship is often called the quantum-classical correspondence in optics. In linear optics, imaging techniques are developing to reveal the unseen natural phenomena. We propose the weak-value imaging method associated with the weak measurement initiated and developed by Yakir Aharonov and his colleagues. Our proposed method is applied to Stokes parameter estimation and focal point control.