Acoustic self-induced transparency for transverse waves in a system with resonant and quasi-resonant transitions

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776109070085· OSTI ID:21443706

A theoretical analysis of acoustic self-induced transparency is presented for transverse elastic waves propagating perpendicular to an applied magnetic field through a crystal with spin-3/2 paramagnetic impurities. The interaction between an acoustic pulse and magnetic field is described by Maxwell-Bloch-type equations for a system with transitions inhomogeneously broadened because of a quadrupole Stark shift. If the pulse carrier frequency is resonant with one transition and quasi-resonant with another transition, then the evolution of a one-dimensional pulse is described by an integrable Konno-Kameyama-Sanuki (KKS) equation. The underlying physics of its soliton solution and the corresponding behavior of the medium are analyzed. Self-focusing and self-trapping conditions are found for a pulse of finite transverse size. In the latter regime, the pulse stretches along the propagation direction, transforming into a 'hollow bullet,' while its transverse size remains constant.

• OSTI ID: 21443706
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 1 Vol. 109; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACOUSTICS
ANGULAR MOMENTUM
CRYSTALS
ELASTICITY
ENERGY-LEVEL TRANSITIONS
INTEGRAL CALCULUS
MAGNETIC FIELDS
MAGNETISM
MAGNETOACOUSTICS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MECHANICAL PROPERTIES
OPACITY
OPTICAL PROPERTIES
PARAMAGNETISM
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
PULSES
QUASI PARTICLES
SOLITONS
SOUND WAVES
SPIN
TRAPPING
WAVE PROPAGATION