In this theoretical work, Akhtar Munir and colleagues provide valuable insights into the nonlinear interactions between optical fields and magnetic modes in cavity magnonic systems. By investigating the spectral profiles of the probe field transmission and group delay in the presence of a ferromagnetic material supporting both Kittle and magnetostatic modes, they unravel the intricate dynamics and consequences of cross- and self-Kerr interactions among the magnon modes. The findings demonstrate the fascinating phenomena of magnon-induced transparency (MIT) dips and sharp magnon-induced absorption peak, highlighting the significant role of nonlinear effects in enhancing or suppressing these optical responses. The incorporation of magnon-magnon mode coupling introduces an additional degree of freedom, leading to the splitting of the MIT window. The influence of cavity-Kittle and magnon-magnon mode coupling parameters on group delay showcases the ability to transform subluminal-to-superluminal propagation and vice versa. The examination of slow and fast light effects near the MIT windows offers potential applications in fields such as quantum computing and quantum memories. Most interestingly, the proposed scheme presents an advantage by showcasing both slow and fast light effects in a single setup. This study contributes to the further understanding of nonlinear effects in cavity magnonics and brings us closer to harnessing these effects for novel applications in the future.

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