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Modern mathematics is becoming more attractive for the education system because of the possibility to adapt its fundamental structures in applications and development of cognitive and creative abilities of the individual. Such subject are related to fractal geometry, which was "revived to life" by B. Mandelbrot beginning with the 70s of XX century. In this paper, we give applications of...
The self-action effects of the laser radiation incident on metal nanoparticles of spherical shape are analyzed within the framework of a free-electron model and a phenomenological description of the nonlinear electrodynamic properties of the metal surface. Analytical expressions are obtained for the nonlinear addition to the field-induced dipole moment of a nanoparticle at the fundamental frequency...
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