Supersymmetric quantum-well shape optimization for intersubband bound–continuum second harmonic generation
✍ Scribed by D. Indjin; I. Stanković; J. Radovanović; V. Milanović; Z. Ikonić
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 153 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0749-6036
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✦ Synopsis
A method is described for the optimized design of quantum-well structures, with respect to maximizing the second-order susceptibilities relevant for second harmonic generation. The possibility is explored of obtaining resonantly enhanced nonlinear optical susceptibilities in quantum wells with two bound states and a continuum resonance state as the dominant third state. The method relies on applying the isospectral (energy structure preserving) transformations to an initial Hamiltonian in order to generate a parameter-controlled family of Hamiltonians. By changing the values of control parameters one changes the potential shape and thus the values of matrix elements relevant to susceptibility to be maximized. The method was used for the design of Al x Ga 1-x As-based QWs. The results indicate the possibility of employing continuum states in resonant second harmonic generation at higher photon energies, ~ω = 200-300 meV.