Tunable Magnetically Induced Transparency Spectra in Magnon-Magnon Coupled <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi>Fe</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>12</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:math> Permalloy Bilayers

Hybrid magnonic systems host a variety of characteristic phenomena such as the magnetically induced transparency (MIT) and Purcell effect, which are considered useful for future coherent quantum-information processing. In this work, we experimentally demonstrate tunable MIT effect in ${\mathrm{Y}}_{3}{\mathrm{Fe}}_{5}{\mathrm{O}}_{12}(\mathrm{YIG})/\mathrm{Permalloy}(\mathrm{Py})$ magnon-magnon coupled system via changing magnetic field orientations. By probing magneto-optic effects Py YIG thin films, identify clear features spectra by mode hybridization between uniform perpendicular standing spin-wave modes YIG. external orientations, observe coupling strength YIG's Py's mode, upon application an out-of-plane field. This observation is theoretically interpreted geometrical consideration magnetization under oblique even at constant interfacial exchange coupling. Our findings show high promise investigating with hybrid platforms.