THREE-DIMENSIONAL EXTREMELY SHORT OPTICAL PULSES
IN A PHOTONIC CRYSTAL BASED ON A POLYMER MATRIX
AND CARBON NANOTUBES
Yulia V. Dvuzhilova
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Forensic and Physical Materials Science,
Volgograd State University
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Prosp. University, 100, 400062, Volgograd, Russia
Ilya S. Dvuzhilov
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Forensic and Physical Materials Science,
Volgograd State University
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Prosp. University, 100, 400062, Volgograd, Russia
Ivan A. Chelnyntsev
Student, Department of Forensic and Physical Materials Science,
Volgograd State University
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Prosp. University, 100, 400062, Volgograd, Russia
Timur B. Shilov
Student, Department of Forensic and Physical Materials Science,
Department of Forensic and Physical Materials Science,
Volgograd State University
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Prosp. University, 100, 400062, Volgograd, Russia
Abstract. In order for CNTs to remain in the vertical position and for the periodicity of the structure necessary for the construction of a photonic crystal, the polymer matrix, inside which the nanotubes are placed, is suitable. Note that carbon nanotubes together with polymers, not only improve the mechanical properties of the material, but also, for example, increase electrical conductivity, thermal conductivity, heat resistance and give the nanocomposite new functional properties. It should be noted that various mechanisms for obtaining nanocomposites doped with carbon nanotubes have been developed and patented for quite a long time. Interest in short-wave pulses of femtosecond duration has not died down for the last several decades, among the non-neoplastic advantages of which, the following are especially valuable: energy is concentrated in a limited area of space for a long time; high directivity of radiation; stability of shape and increased resistance to external perturbations. Based on the solution of Maxwell’s equations, an effective equation was obtained that describes the behavior of the electric field intensity of a three-dimensional extremely short optical pulse in the medium of a photonic crystal based on a polymer matrix doped with semiconductor carbon nanotubes. A numerical solution of the resulting equation is shown, representing the time evolution of the pulses. Stable propagation of pulses in the nonlinear medium of a photonic crystal based on a polymer and carbon nanotubes has been established.
Key words: extremely short optical pulses, carbon nanotubes, nonlinear optics, Maxwell’s equations, polymer matrix.
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