robert e. wagner sophomore intense laser physics theory unit illinois state university cycloatoms...
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Robert E. Wagner
Sophomore
Intense Laser Physics Theory Unit
Illinois State University
Cycloatoms and high order harmonics in moderate intense
laser fields
Support: NSF, Res. Corp., and ISU Honors Program
Laser
Magnetic field
d
dt
mv
1 v2
c2
qE
r , t q
c
v
B o
B
r , t V
r
Relativity without super-strong lasers?
0.20
0.40
0.60
0.80
1.0
0.003 0.004 0.005 0.006
Maximum speed v/c for each
L 0.0043a.u.
E0 0.0500a.u.
non-relativistic
relativistic
L
R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).
Non-relativistic Relativistic
Orbits stayin phase
Orbits dephaserelativistically
Time(in 2L
75
150
500
0
y
x
Cycloatom dynamics=L
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relativistic (exact) dephasing model
Time
75
150
500
0
Relativistic dephasing model
x(t) x vx
sin t vy
cos t 1
2 2
cos( t
cos t
y(t) y vy
sin t vx
cos(t) 1
2 2
1
sin t 1
sin t
replace (V0)
Steady state spatial electron distributionsMultiple resonances
Fractional resonances ≈ 1/2 L ≈ 1/3 L
≈ L
≈ 2 L
≈ 3 L
0
0.4
0.8
1.2
0 0.1 0.2 0.3 0.4 0.5
[a.u.]
= L
= L/2
= 2L
= 3L
= 3L/2
= 2L/3
= L/3
=
L/4
=
L/5
P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000).Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000).
Cycloatom dynamics=1/2 L
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100
102
104
0 4 8 12 16 200 4 8 12 16 20
100
102
104
Scattered light spectra
non-relativistic relativistic
R.E. Wagner, et al, PRA 60, 3233 (1999)
Quantum Mechanical Cycloatoms?
it
ic A V(r)Dirac
Liouville
J. Braun, Q. Su and R. Grobe, PRA 59, 604 (1999)
P. Peverly, R. Wagner, Q. Su and R. Grobe, Las Phys. 10, 303 (2000)
H c4 c2 (p A / c)2 V(r)
t
(x, p,t) H
x
p
H
p
x
DiracLiouville
Confirmed: Dirac Cycloatoms
P. Krekora, R. Wagner, Q. Su and R. Grobe, PRA, submitted
Summary• Cycloatoms reveal new relativistic phenomena
• Novel resonances => possible experiments
[1] R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).[2] R.E. Wagner, Q. Su, and R. Grobe, Phys. Rev. A 60, 3233, 1999.[3] R.E. Wagner, P.J. Peverly, Q. Su and R. Grobe, Phys. Rev. A 61, 35402(2000).[4] P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000).[5] P. Krekora, R.E. Wagner, Q. Su and R. Grobe, PRA, submitted.[6] Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000).
www.phy.ilstu.edu/ILP
Undergraduate Student travel grant (DAMOP)