Hello Abderrahmane,

I suggest that you solve numerically the so-called Semiconductor Bloch Equations.

These were derived and published in M. Lindberg and S. W. Koch, "Effective Bloch equations for semiconductors". Physical Review B vol. 38, 3342 (1988). You may also have a look at two books in particular: 1/ H. Haug and S. W. Koch, Quantum Theory of the Optial and Electronic Properties of Semiconductors (World Scientific Publishing, Singapore, 1993); 2/ W. W. Chow and S. W. Koch, Semiconductor-Laser Fundamentals (Springer-Verlag, Berlin, 1999).

For your convenience, I also attach some slides which I used for seminar presentations long ago. Some of them are in French, but it should be no problem.

I hope the attached document as well as the references will help.

Sincerely,

Henni

If by alpha you mean the quantity from

I = I_0 \exp(-\alpha x),

then it is not applicable since it was introduced for  homogeneous systems. You will have to use something else: reflection and transmission through the  sample, for example. 

Your quantum well in a very thin layer in a matrix. For most wavelength it would not affect absorption much, so you may use that of the matrix. There will be some additional structure below the fundamental edge of the matrix material. you will have to calculated the frequencies and the intensity of transitions with direct excitation to the minibands in the quantum well.

Hi Henni,

Thanks for the advice, I could not download the attached document, would you please upload it again.

Cordially,

Abderrahmane 

Hi Igor,

Thanks for your reply, in my case I am interested by the absorption inside the well (solar cell application), where absorbed photons with energies equal to the difference between bound states in the valence and conduction bands generate electron-hole pairs. The matrix material (barrier) is totally transparent to these frequencies.

Cordially,

Abderrahmane  

Hi Abderrahmane,

I just tried and downloaded the attached document without problem from the link at the bottom of my first message to you. Please try again. If this does not work, I'll see if I can upload it as part of my publications, but clearly Research Gate does not account for presentation slides as part of documents that can be posted.

By the way, the works of Prof. Mackillo Kira may also be of interest to you.

Regards,

Henni