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arXiv:2406.02043 · Optics Communications

Phase control of transmission and reflection in a sample of duplicated two-level systems driven by a stationary control field

F. A. Hashmi, E. Brion, M. A. Bouchène

Published Apr 30, 2025• 1 citation
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Abstract

In this article, we investigate the optical response of a duplicated two-level atomic medium submitted to a stationnary control field and a weak co-propagating probe field, orthogonally polarized to each other. We show that both reflected and transmitted components of the probe may be absorbed and amplified. Moreover, for moderate optical depths, reflection and transmission factors are controlled by the relative phase between control and probe fields, which makes the configuration we present here promising for the development of optical devices. Moreover, we determine the exact conditions where reflection and transmission factors can be controlled by the relative phase between control and probe fields.

DOI
10.1016/j.optcom.2025.131874

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In this article, we investigate the optical response of a duplicated two-level atomic medium submitted to a stationnary control field and a weak co-propagating probe field, orthogonally polarized to each other. We show that both reflected and transmitted components of the probe may be absorbed and amplified. Moreover, for moderate optical depths, reflection and transmission factors are controlled by the relative phase between control and probe fields, which makes the configuration we present here promising for the development of optical devices. Moreover, we determine the exact conditions where reflection and transmission factors can be controlled by the relative phase between control and probe fields.
We theoretically demonstrate the coherent control of the effective susceptibility of a duplicated two-level system. The control is obtained for a linearly polarized weak field in the presence of a much stronger orthogonally polarized field. For small optical depths, the effective susceptibility ${\ensuremath{\chi}}_{\mathrm{eff}}$ behaves as ${\ensuremath{\chi}}_{\mathrm{lin}}{e}^{2i\ensuremath{\phi}}$ (${\ensuremath{\chi}}_{\mathrm{lin}}$ is the linear susceptibility, $\ensuremath{\phi}$ the phase shift) allowing coherent control of the optical response. For large optical depths, ${\ensuremath{\chi}}_{\mathrm{eff}}\ensuremath{\approx}{\ensuremath{\chi}}_{\mathrm{lin}}^{*}$, turning an absorber into an amplifier without affecting the dispersion.
Abstract The relative phase of the applied lights has been used to explore the position dependence of the transmitted and reflected light from a defective dielectric medium. The duplicated two-level atomic system that makes up the dielectric medium interacts with a position-dependent standing wave (SW) coupling light and a weak probe laser field. We found that identical behaviors can be produced for the transmitted and reflected light in various directions due to the relative phase of the applied light. Furthermore, we understood that the transmitted and reflected spectra of the incident light become asymmetric for the asymmetric profile of the coupling light, and that these circumstances will cause the probing field to be amplified. In this instance, we found that altering the relative phase of the applied lights can modify the position of the subluminal and superluminal light.
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