Optomechanically induced transparency in a position-dependent hybrid optomechanical system A. Qayyum, K. Farooq, H. M. Noor ul Huda Khan Asghar and Zaheer Abbas Gilani Eur. Phys. J. Plus, 139 7 (2024) 655 Published online: 26 July 2024 DOI: 10.1140/epjp/s13360-024-05453-z