“…The Faraday effect is crucial for numerous scientific and technological advancements in astronomy, biology, chemistry, physics, and materials science. For instance, it is used for investigating the magnetic domain structure in solids 1 , 2 , nuclear magnetic resonance in fluids via optical detection 3 , 4 , paramagnetic gas molecule detection 5 , determination of magnetic fields 6 and electron-density distribution in outer space and celestial objects 7 , probing spin coherence in cold atoms 8 , quantum spin fluctuation measurements 9 , biochemical and biomolecular detection 10 , stabilization of laser frequency 11 , optical current sensing 12 , optical Hall effect 13 , and optical isolators 14 .…”