Inverse Faraday effect

The Faraday effect causes the index of refractions for right and left circular polarization to be different when light is propagating along either the magnetic field or the magnetization. The inverse Faraday effect (IFE) is the effect opposite to the Faraday effect. A magnetization ${\displaystyle \mathbf {M} (0)}$ is induced by circularly polarized light. One reason for the name IFE is that the amplitude of the magnetization is proportional to the same Verdet coefficient that governs the Faraday effect. The induced magnetization of the IFE is proportional to the product of the Verdet coefficient and vector product of ${\displaystyle \mathbf {E} }$ and ${\displaystyle \mathbf {E} ^{*}}$:

${\displaystyle \mathbf {M} (0)\propto [\mathbf {E} (\omega )\times \mathbf {E} ^{*}(\omega )]}$

With the proper use of the complex form for the electric fields this equation shows that circularly polarized light with the frequency ${\displaystyle \omega }$ should induce a magnetization along the wave vector ${\displaystyle \mathbf {k} }$. The vector product of left- and right-handed polarization waves should induce magnetization of opposite signs.

References

• Rodriguez, V.; Verreault, D.; Adamietz, F.; Kalafatis, A. "All-Optical Measurements of the Verdet Constant in Achiral and Chiral Liquids: Toward All-Optical Magnetic Spectroscopies". ACS Photonics 2022, 9, 7, 2510–2519. https://doi.org/10.1021/acsphotonics.2c00720
• Hertel, R. (2005). "Microscopic theory of the inverse Faraday effect". arXiv:cond-mat/0509060. Bibcode:2005cond.mat..9060H. {{cite journal}}: Cite journal requires |journal= (help)
• Kimel, A. V.; Kirilyuk, A.; Usachev, P. A.; Pisarev, R. V.; Balbashov, A. M.; Rasing, Th. (2005). "Ultrafast non-thermal control of magnetization by instantaneous photomagnetic pulses". Nature. 435 (7042): 655–657. Bibcode:2005Natur.435..655K. doi:10.1038/nature03564. hdl:2066/33131. ISSN 0028-0836. PMID 15917826. S2CID 4431535.