Picosecond autowaves near phase transition temperature of the order-disorder-type ferroelectrics

S. V. Nesterov; Sergei V. Sazonov

doi:10.1117/12.271701

4 April 1997 Picosecond autowaves near phase transition temperature of the order-disorder-type ferroelectrics

S. V. Nesterov, Sergei V. Sazonov

Proceedings Volume 3093, Nonresonant Laser-Matter Interaction (NLMI-9); (1997) https://doi.org/10.1117/12.271701
Event: Nonresonant Laser-Matter Interaction, 1996, St. Petersburg, Russian Federation

Abstract

In the present work a new phenomenological approach to the accounting for relaxation near the phase transition temperature of the order-disorder type ferroelectric have been proposed. This approach is presented in the framework of pseudospin formalism and is based on the analogies with like those accounting for in para- and ferromagnetics. A relation between phase relaxation time of the critical vibrations, frequency of tunneling oscillations and the average constant of dipole-dipole interactions (or phase transition temperature) is found. This relation was obtained by use of mean field approximation. From differential equations for pseudospin components the Landau-Khalatnikov like equation for macroscopic ferroelectric polarization has been obtained. Self-consistence investigation of the last non-linear equation and Maxwell's equations is carried out in the low-frequency nonresonant regime. It is shown that in paraphase the dynamics of picosecond electromagnetic perturbations yields to the modified Korteweg-de Vries- Burgers equation. At the same time in ferroelectric phase these perturbations are described by the Korteweg-de Vries- Burgers equation. It is shown that electromagnetic shock wave and autowave formation near phase transition temperature is possible.

Citation Download Citation

S. V. Nesterov and Sergei V. Sazonov "Picosecond autowaves near phase transition temperature of the order-disorder-type ferroelectrics", Proc. SPIE 3093, Nonresonant Laser-Matter Interaction (NLMI-9), (4 April 1997); https://doi.org/10.1117/12.271701

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KEYWORDS

Electromagnetism

Crystals

Picosecond phenomena

Polarization

Differential equations

Ferromagnetics

Maxwell's equations

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