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Published on: April 4, 2016
Optical breathers in nonlinear anisotropic and dispersive media
1Max-Planck-Institut für Physik Komplexer System, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.
Summary
Impurity-doped anisotropic crystals exhibit three distinct breather formation mechanisms based on wave propagation and medium symmetry. This research provides analytical expressions for breather parameters and nonlinear susceptibilities in extraordinary waves.
Area of Science:
- Solid-state physics
- Nonlinear optics
- Crystallography
Background:
- Anisotropic crystals with impurity atoms possess unique optical properties.
- Breathers, localized nonlinear waves, can form in such media.
- The orientation of the crystal's optical axis and impurity dipole moments influences wave propagation.
Purpose of the Study:
- To investigate the mechanisms of breather formation in anisotropic crystals with impurity atoms.
- To derive analytical expressions for breather parameters and nonlinear susceptibilities.
- To classify uniaxial crystals based on their breather zone structures.
Main Methods:
- Theoretical analysis of wave propagation in anisotropic media.
- Derivation of explicit analytic expressions for breather parameters.
- Classification of crystal classes based on susceptibility and symmetry.
Main Results:
- Three distinct breather formation mechanisms identified, dependent on wave direction and medium symmetry.
- Analytical expressions for breather parameters and effective nonlinear susceptibilities for extraordinary waves derived.
- Uniaxial crystals with quadratic susceptibilities classified into three groups, each with a universal breather zone structure.
- Cubic susceptibility in trigonal, tetragonal, and hexagonal crystals shows universal breather zone structures independent of crystal system or class.
- Breather zone structures differ significantly when optical axis and dipole moments are parallel versus perpendicular.
Conclusions:
- The study elucidates the complex interplay between crystal symmetry, impurity dipole moments, and nonlinear wave phenomena.
- A universal classification of breather zone structures provides a framework for understanding nonlinear optical properties in anisotropic crystals.
- The findings are crucial for designing and optimizing optical devices utilizing nonlinear effects in anisotropic materials.
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