Laser Interactions & High Energy Density Plasmas Flashcards

Laser Interactions and High Energy Density Component of Advanced Plasma Physics and Fusion Y4.

What are Maxwell's equations?

Maxwell-Flux: ∇ · B = 0,

Maxwell-Gauss: ∇ · E = ρ_c / ϵ0,

Maxwell-Faraday: ∇ × E = − ∂B / ∂t,

Maxwell-Ampere: ∇ × B = µ0j + µ0ϵ0 ∂E / ∂t

What is the Lorentz force?

FL = q(E + v × B)

What is the energy density of an EM-field?

(ϵ₀ / 2) * E² + (1 / 2µ₀) * B²

State Newton's Second Law.

dv/dt = ΣF

What is the definition of Kinetic energy?

K = (1/2)mv^2

Define work done by a force.

W = ∫ F · dl

What is the definition of momentum?

p = mv

What is the energy of a wave-particle?

E = hν

What is the momentum of a wave-particle?

p = h/λ

What is mass-energy at rest?

E = mc^2

Define phase and group velocity.

vp = ω / k , vg = ∂ω / ∂k

frequency and period relationship

ω = 2πν = 2π / T

Wavenumber and wavelength formulas

k = 2π / λ

Formula for a plane wave.

A = A0e^(−i(ωt±kx))

What is quasi-neutrality in plasma physics?

Z_avn_i = n_i

Write the continuity equation.

∂ρ / ∂t + ∇ · (ρu) = 0

What is the Boltzmann ratio?

n2 / n1 = (g2 / g1) * e^−(E2−E1)/kBT

Write the pressure of an ideal gas.

P = nkBT

Plasma frequency proportionality

ωp^2 ∝ ne

Intensity units and formula

[I] = W/cm^2

What are Fermi degenerate electrons, the Fermi energy, and the Fermi pressure?

Fermi degenerate electrons are electrons occupying the lowest energy states due to the Pauli exclusion principle. Fermi energy is the highest energy level occupied at absolute zero. Fermi pressure is the pressure exerted by these electrons.

What is the Biermann-battery effect?

The generation of magnetic fields in plasmas due to temperature and density gradients.