Linear and nonlinear optical absorption of position-dependent mass oscillators

We study the linear $(α^{(1)} )$, nonlinear $(α^{(3)})$ and total $(α)$ optical absorptions of position-dependent mass oscillators (PDMOs). We consider three mass distributions $(m(x,λ))$ used to describe semiconducting structures; $λ$ is a deformation parameter. In the limit $λ\rightarrow 0$, the three systems describe electrons in a parabolic quantum well. For the system $m_1(x)=m_0/[1+(λx)^2 ]^2$ we observe that $α^{(1)}(ω)) (α^{(3)}(ω))$ increases (decreases) with increasing $λ$. For $m_2 (x)=m_0 [1+(λx)^2 ]$ and $m_3(x)=m_0 [1 + tanh^2 (λx) ]$ the opposite occurs. In the light of the PDMO approach we observe the $m_2 (x)$ and $m_3(x)$ systems are very similar, and can not be distinguished by optical transitions between the two lowest electronic levels. We also discussed about the total optical absorption of the systems.

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