Theoretical Study of Optoelectronic Nanoparticles Optical Absorption Enhancement

In optoelectronic substances, whose energy band configurations are dictated by the Kane three band model, we have shown using operator algebra, the amount of light absorbed per thickness is proportional to the square root of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\{(h\omega)^{2}-(E_{g})^{2}\} (ha$</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(E_{g})$</tex> represent the energy of incident radiation and band-gap, respectively), rather than <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\{(h\omega)-(E_{g})]$</tex>, as is commonly known in the literature.