AJP Fizika E

Institute of Physics

Ministry of Science and Education

Republic of Azerbaijan

ISSN 1028-8546

Azerbaijan Journal of Physics

Published from 1995. Registration number: 514, 20 02 1995

Ministry of Press and Information of Azerbaijan Republic

2022 04 en p.50-56 | R.J. Kasumova^{1}, Sh.Sh. Amirov^{1,2,3*},On the theory of four-wave interaction in dissipative metamaterials |
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ABSTRACTAn analytical expression is obtained for the threshold pumping amplitude under phase-matching conditions. It is shown that the threshold pump amplitude increases with increasing losses, the input intensity of the idler wave, and with increasing nonlinear coupling coefficients for pump waves. The conditions under which losses can be compensated in the case of propagation of an backward signal wave under parametric four-wave interaction are analyzed. It is shown that, in the presence of a parametric coupling between forward and backward waves, compensation of signal wave losses by losses of direct waves will allow the parametric amplification and generation of the backward wave to be realized at the threshold pump amplitude. Keywords: metamaterials, constant intensity approximation, four wave mixing, compensation of losses. PACS: 78.67.Pt; 42.65-k; 42-70-a. DOI:- Received: 28.11.2022 AUTHORS & AFFILIATIONS1. Physics department, Baku State University, 23 Z. Khalilov str., Az-1148, Baku, Azerbaijan 2. Department of Medical and Biological Physics, Azerbaijan Medical University, A. Gasimzade str., 14, AZ 1022, Baku, Azerbaijan 3. Department of Physics and Electronics, Khazar University, 41 Mahsati str., Az 1096 Baku, Azerbaijan Corresponding author e-mail: phys_med@mail.ru |
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