Acoustic amplification in imploding spherical shells

Journal Article · Mon Nov 27 04:00:00 EST 1978 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.41.1552· OSTI ID:6462178

Book, D L

A potentially disruptive new phenomenon in imploding targets is described. Initially weak standing sound waves (vibrations) in an imploding spherical shell can become comparable in amplitude with the shell thickness if the effective adiabatic index satisfies ..gamma.. < ..gamma..*, where ..gamma..* depends on how the aspect-ratio changes during compression. Detailed calculations for a model of self-similar implosions with ..gamma..* = 5/3, show that the relative amplification is strongest for long-wavelength modes in thin shells with small ..gamma.., and is insensitive to the density profile.

• Research Organization: Laboratory for Computational Physics, Naval Research Laboratory, Washington, D.C. 20375
• OSTI ID: 6462178
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 41:22; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101 -- Fusion Energy-- Plasma Research-- Confinement
Heating
&amp; Production
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ADIABATIC PROCESSES
CONFIGURATION
DIFFERENTIAL EQUATIONS
DISTURBANCES
EQUATIONS
IMPLOSIONS
INSTABILITY
LAGRANGE EQUATIONS
LASER IMPLOSIONS
PLASMA INSTABILITY
SHOCK WAVES
SOUND WAVES
SPHERICAL CONFIGURATION
STURM-LIOUVILLE EQUATION