Analytical expression of the magneto-optical Kerr effect and Brillouin light scattering intensity arising from dynamic magnetization
Jaroslav Hamrle, Jarom\'ir Pi\v{s}tora, Burkard Hillebrands, Benjamin, Lenk, Markus Muenzenberg

TL;DR
This paper derives analytical formulas for the magneto-optical Kerr effect and Brillouin light scattering signals from spin-wave modes, validated by numerical calculations and analyzing their dependence on ferromagnetic layer thickness.
Contribution
It provides the first analytical expressions for MOKE and BLS signals from spin-wave modes, confirmed by numerical validation and applied to layer thickness dependence.
Findings
Analytical expressions accurately predict MOKE and BLS signals.
Numerical calculations confirm the reliability of the analytical formulas.
Signal dependence on ferromagnetic layer thickness is characterized.
Abstract
Time-resolved magneto-optical Kerr effect (MOKE) and Brillouin light scattering (BLS) spectroscopy are important techniques for the investigation of magnetization dynamics. Within this article, we calculate analytically the MOKE and BLS signals from prototypical spin-wave modes in the ferromagnetic layer. The reliability of the analytical expressions is confirmed by optically exact numerical calculations. Finally, we discuss the dependence of the MOKE and BLS signals on the ferromagnetic layer thickness.
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