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Analyzing enhancement and control of kerrnonlinear coefficient in a three-level V-type inhomogeneously broadened atomic medium

The analytical expression for the self-Kerr nonlinear coefficient in a three-level V-type atomic medium is found in the presence of the Doppler effect. Based on the analytical results, we have analyzed the enhancement and control of the Kerr nonlinear coefficient under the condition of electromagnetically induced transparency. It is shown that the Kerr nonlinear coefficient is significantly enhanced around the resonant frequency of both the probe and coupling fields. Simultaneously, the magnitude and sign of the Kerr nonlinear coefficient are controlled with respect to the intensity and frequency of the coupling laser field. The amplitude of the Kerr nonlinear coefficient decreases remarkably as temperature increases (i.e., the Doppler width increases). The analytical model can find potential applications in photonic devices and can explain experimental observations of the Kerr nonlinear coefficient at different temperatures. | DALAT UNIVERSITY JOURNAL OF SCIENCE Volume 11 Issue 1 2021 44-55 ANALYZING ENHANCEMENT AND CONTROL OF KERR- NONLINEAR COEFFICIENT IN A THREE-LEVEL V-TYPE INHOMOGENEOUSLY BROADENED ATOMIC MEDIUM Le Van Doaia Dinh Xuan Khoaa a Vinh University Nghe An Vietnam Corresponding author Email khoadx@vinhuni.edu.vn Article history Received September 14th 2020 Received in revised form October 21st 2020 Accepted November 2nd 2020 Available online February 5th 2021 Abstract The analytical expression for the self-Kerr nonlinear coefficient in a three-level V-type atomic medium is found in the presence of the Doppler effect. Based on the analytical results we have analyzed the enhancement and control of the Kerr nonlinear coefficient under the condition of electromagnetically induced transparency. It is shown that the Kerr nonlinear coefficient is significantly enhanced around the resonant frequency of both the probe and coupling fields. Simultaneously the magnitude and sign of the Kerr nonlinear coefficient are controlled with respect to the intensity and frequency of the coupling laser field. The amplitude of the Kerr nonlinear coefficient decreases remarkably as temperature increases i.e. the Doppler width increases . The analytical model can find potential applications in photonic devices and can explain experimental observations of the Kerr nonlinear coefficient at different temperatures. Keywords Analytical model Electromagnetically induced transparency Kerr nonlinear effect Quantum interference and coherence Three-level V-type atom. DOI http dx.doi.org 10.37569 DalatUniversity.11.1.771 2021 Article type peer-reviewed Full-length research article Copyright 2021 The author s . Licensing This article is licensed under a CC BY-NC 4.0 44 DALAT UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCES AND TECHNOLOGY 1. INTRODUCTION It is well known that the Kerr nonlinear coefficient plays an important role in quantum and nonlinear optics. In recent years a large enhancement of the Kerr .