Intersubband optical absorption coefficients and refractive index changes in spherical hydrogenic antidots

In this work, we have studied the optical absorption coefficients and refractive index changes in spherical quantum antidots with hydrogenic donor impurity at the center. For this purpose, the energy spectrum and wavefunctions are first determined, analytically. Then, we have used analytical expressions for the intersubband absorption coefficients and refractive index changes obtained by the compact density matrix formalism. The results show that i) total absorption coeficient increase with increasing size of antidot, ii) the refractive index changes decrease with decreasing antidot size.