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Properties of transmission of a weak pulsed light in an asymmetric semiconductor quantum well are investigated. Under the condition of same physical parameters, we research absorption and chromatic dispersion of pulsed light via changing the cross coupling term resulting from the spontaneously generated coherence effect in an asymmetric semiconductor quantum well. It turns out that the absorption of quantum well medium is continually decreasing with the enhancement of spontaneously generated coherence effect. Simultaneously, strong chromatic dispersion turns into transparent window.
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