II. Basic theories for description of a plasma Bin Qiao
School of Physics
Office: Room 544 (South), Physics Building
Tel: 62745005
2014 Autumn Semester, course for graduate student Lecture notes: Physics of Laser-Plasma Interaction
Part 1. Kinetic theory –from BBGKY to Vlasov
Kinetic theory –from BBGKY to Vlasov 1.3 Vlasov
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Kinetic theory –from BBGKY to Vlasov
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Part 2. Fluid theory –particle number, momentum, and energy conservation
Fluid theory – particle number, momentum, energy conservation
Fluid theory – particle number, momentum, energy conservation
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Fluid theory – particle number, momentum, energy conservation
Fluid theory – particle number, momentum, energy conservation
Fluid theory – particle number, momentum, energy conservation
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Non-magnetized plasma waves
= /%'-0 #
⋅∇−= ∂
∂
)()( 101 kuknkn αααϖ ⋅=
Langmuir wave
2k2vte 2

Langmuir
2 2 2 2 pe e e k v
peZ Z
2k2vte 2

2 2 2
pe D
k O
3 ev

z Ti0
z Landau
z Ti0
z Landau
Normal modes in homogeneous plasma – Langmuir and ion plasma waves
Z Langmuir waves
2.7Ponderomotiveforce


pe piE E (x)cos , ,L L LtZ Z Z Z !! !!
1 ,
L
(
u u B u u [E(x) ]e e e e
e t m c
Part 5. Ponderomotive Force
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Laser Ponderomotive force
1.7 ponderomotive force


(
pe piE E (x)cos , ,L L LtZ Z Z Z !! !!
u u B u u [E(x) ]e e e e
e t m c
L
convective term 2
2 1 1 2u u E E sin ,e e e L L L
e L
2 2
1 2u B E ( E )sin ,e L L L e L
e e t c m
Z Z
c tZ Z
2 L L L L L u u
u E(x) fe e e p
enn t m
Laser Ponderomotive force
)( 4 1 2
nfp

2 2
2 2
1 1 2u u E E sin ,e e e L L L e L
em t m
2 2
1 2u B E ( E )sin ,e L L L e L
e e t c m
Z Z
Transverse component convective term


1u Be u
1 1e e(u )u
Laser Ponderomotive force
z
2 2
I W cm mP MbarO P
192 2 210 / , 3.3 LI W m cm P G barO P

cavition

Laser Ponderomotive force
Landau
Landau

.
,
G
0,
GH GH
“-”
“”(v0~Z/k)


v0~Z/k
k
-
(v0~Z/k)
V0~<Z/k
v ~Z/k


v0~Z/k
veMaxwell
0 8
2 2