B. Liu, J. Goree, V. Nosenko, K. Avinash

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Presentation transcript:

B. Liu, J. Goree, V. Nosenko, K. Avinash Radiation pressure and gas drag forces on a single particle and wave excitation in a dusty plasma B. Liu, J. Goree, V. Nosenko, K. Avinash

plasma = electrons + ions What is a dusty plasma? plasma = electrons + ions & neutral gas small particle of solid matter absorbs electrons and ions Debye shielding becomes negatively charged

Forces Acting on a Particle Coulomb QE Gravity mg Other forces: Gas drag Ion drag Thermophoresis Radiation Pressure

Particles polymer microspheres 8 mm diameter separation a » 0.5 mm charge Q » - 104 e

Confinement of 2D monolayer Interparticle interaction is repulsive Coulomb (Yukawa) External confinement by curved electric sheath above lower electrode

2D lattice triangular lattice with hexagonal symmetry Yukawa inter-particle potential

Radiation Pressure Force incident laser intensity I momentum imparted to microsphere transparent microsphere Force = 0.97 I  rp2

Argon laser pushes particles in the monolayer Setup Argon laser pushes particles in the monolayer

Chopping chopped beam beam dump scanning mirror chops the beam Ar laser mirror

Single-particle laser acceleration laser beam radiation pressure Accelerated by laser radiation pressure Coulomb drag Restored by confining potential Damped by gas drag

Movie of particle accelerated by laser beam 2 mm Ar laser sheet

Equation of motion Assumption: The dominant forces are Gravity Vertical sheath electric field Radiation pressure force Drag force Horizontal confining potential One dimensional motion

Calculation: radiation pressure, gas drag, confining potential record particle’s orbit Calculation: radiation pressure, gas drag, confining potential Gas drag coefficient R is an adjustable parameter to minimize the discrepancy between and . R  R

Horizontal confining potential energy

Radiation pressure force

Gas drag force

Coefficients for radiation pressure and gas drag q result: measurment 0.94  0.11 ray optic theory 0.97 Gas drag  result: measurment 1.26  0.13 Epstein theory 1 ~ 1.44 Epstein, Phys. Rev. 1924

Application of radiation pressure force Laser sheet

Dispersion relations in 2D triangular lattice Q=0,  / 0 Dispersion relations in 2D triangular lattice Wang et al. PRL 2001

Waves in one-dimensional dusty plasma chain Longitudinal (along the chain) : acoustic laser beam y x z Transverse (perpendicular to the chain) : optical The oscillation in y direction ( horizontal confining potential) z direction ( potential well formed by gravity and sheath )

Optical mode in solid (two atom in primitive cell) acoustic

Optical mode in one-dimensional chain Assumptions: One dimension, infinite in x direction Parabolic confinement in y direction Yukuwa interaction potential Nearest neighbor interaction No gas damping Optical: Acoustic:

“Optical” branch Acoustic branch Dispersion relation

Formation of one-dimensional chain 22-particle chain Ashtray electrode x y z

Bifurcation of chain y x Potential gradient in x direction Minimum potential energy requirement Particle-particle interaction energy Confining potential energy

Bifurcation condition Uy y 1 2 Ux x No bifurcation condition Case 1 Case 2

Resonance frequency: x x = 0.07 Hz Single-particle laser acceleration

Resonance frequency: y laser-excited resonance vibration laser sheet

Resonance frequency: y Velocity autocorrelation function of random motion

Excitation of optical mode Laser beam

Excitation of optical mode Laser beam

dusty.physics.uiowa.edu