FOURIER METHOD USED TO STUDY THE SECOND HARMONIC GENERATION SPECTRUM IN METAMATERIALS
A.R. Ahmadova
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ABSTRACT

The nonlinear optical process of second harmonic generation (SHG) resulting from frequency doubling of high-intensity laser radiation in metamaterials has been investigated, with particular attention given to the role of cubic nonlinearity. In analyzing the nonstationary SHG process, a conventional spectral approach was employed. The governing differential equations for the field amplitudes were reformulated in terms of their spectral counterparts, providing a clearer and more accurate representation of the physical mechanisms underlying the frequency-doubling process. Metamaterials characterized by engineered dispersion and a negative refractive index offer exceptional conditions for enhancing nonlinear interactions and achieving controllable harmonic generation [1]. In this work, the effects of self- and cross-phase modulation arising from the third-order nonlinearity of the medium on the spectral and temporal behavior of SHG are examined in detail. It is shown that fine adjustment of the pump intensity or the phase mismatch enables precise tuning of the harmonic spectral peak, thereby facilitating smooth and continuous frequency control of the second harmonic in metamaterials. The controllability waves is the way for the development of compact and tunable nonlinear optical devices with advanced photonic functionalities.

Keywords: nonstationary generation spectrum, self- and cross-interaction, negative refraction, Fourier method.
DOI:10.70784/azip.1.2025412

Received: 04.11.2025
Internet publishing: 25.11.2025    AJP Fizika E 2025 04 en p.12-16

AUTHORS & AFFILIATIONS

Physics Department, Baku State University, AZ1148, Azerbaijan, Baku, Z. Khalilov str.,23
E-mail: asmar.ahmadova.r@bsu.edu.az

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