OICC Press Journal of Theoretical and Applied Physics 2251-7235 17 2 2023 11 17 Theoretical study of ISB conduction optical absorption and impurity binding energy associated with lowest excited states in QW with a new modulated potential EN Redouane En-nadir Le Mans Université, Faculty of sciences, University of Sidi Mohamed Ben Abdullah, Fez, Morocco 0000-0002-5064-0028 Haddou El-ghazi ENSAM, Hassan-II University, Casablanca, Morocco 0000-0002-2139-2360 Journal Article 2023 11 17 This paper provides a theoretical investigation of the ground and first excited-states donor impurity binding energy and the linear and nonlinear optical absorption coefficients in quantum well with novel modulated potential called Redouane-Haddou potential (RHP). Within the effective-mass theory, the Schrödinger equation has been calculated numerically using the finite element method. The analytical expressions of the optical absorption coefficients are obtained within compact density matrix theory. Our results reveal that the A-parameter has a significant influence on the confinement profile and electron states, therefore, the binding energy as well as the optical properties of the investigated system. It increases the binding energy and redshift (blueshift) associated with drop (improvement) of the linear and nonlinear optical absorption coefficients related to 2p→1s,2p→2s, and 3s→2p transitions. Moreover, it is noticed that with an appropriate choice of the A-parameter and structure dimension, the optical response of the investigated system can be tailored in a controllable manner.