Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Advanced Laser and Photon Science レーザー・光量子科学特論
First principles simulations 第一原理計算 Takeshi Sato http://ishiken.free.fr/english/lecture.html
[email protected]
7/5 No. 1
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Interac(on of atoms and molecules with intense electric fields (1013 ∼1015 W/cm2) Nuclear aBrac(on & electric field
Z +E·r r electron
Tunneling ioniza(on
Escape poten(al barrier
7/5 No. 2
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Femtosecond intense laser fields (Visible∼IR, 1013 ∼1015 W/cm2) Corkum, Phys. Rev. LeB. 71, 1994 (1993)
Tunneling Near-free Reverse Recombina(on ioniza(on propaga(on accelera(on RescaBering Ψc = a(k)eikx–iωt Ψg
7/5 No. 3
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Femtosecond intense laser fields (Visible∼IR, 1013 ∼1015 W/cm2) High harmonic spectrum 2
Intensity (arb. unit)
10
1
10
“Cutoff”
0
10
-1
10
-2
10
-3
10
-4
10
-5
10
“Plateau”
-6
10
-7
10
-8
10
0
10
20
30
Harmonic order
Hydrogen atom Ψg
40
50
Ψc = a(k)eikx–iωt
Recombina(on RescaBering 4
7/5 No. 4
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Femtosecond intense laser fields (Visible∼IR, 1013 ∼1015 W/cm2) High harmonic spectrum
Recombina(on Laser field: E(t) = E0 cos(!0 t)
2
Intensity (arb. unit)
10
1
Kine(c energy @ return (me (Kr)
10
“Cutoff”
0
10
-1
10
-2
10
Ioniza(on Poten(al (IP)
-3
10
-4
10
-5
10
“Plateau”
-6
10
-7
10
-8
10
0
10
20
30
Harmonic order
Hydrogen atom
40
50
~! = IP + Kr IP + 3.17Up Up =
E02 4!02
Cutoff energy
: Ponderomo(ve energy 7/5 No. 5
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Femtosecond intense laser fields (Visible∼IR, 1013 ∼1015 W/cm2)
Ionization probability
100 10-1 10-2
Sequential Exact
“Shoulder” region
10-3 10-4 10-5 2⋅1014
Nonsequen(al Double ioniza(on Ψc15= a(k)eikx–iωt 3⋅1015 1⋅10
Field intensity (W/cm2) Ψg
Recombina(on RescaBering 7/5 No. 6
Advanced Laser and Photon Science (Takeshi SATO) for internal use only (Univ. of Tokyo)
Time-dependent Schrödinger equa(on i ˙ (r1 , r2 , . . . rN , t) = H (r1 , r2 , . . . rN , t) H(t) =
N X i=1
(
r2i 2
+
M X
A=1
ZA + Vlaser (ri ; t) |ri RA |
)
+
N X X i=1 j
