overview of high power thz sources from laser …overview of high power thz sources from...
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Overview of high power THz sources
from laser-plasma interaction
Lecture at the 5th ASS&S
SIOM-CAS, Shanghai
August 16-20, 2010
Z.M. Sheng
Department of Physics, Shanghai Jiao Tong
University / Institute of Physics, CAS
Outline
What to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
What is THz radiation?
G. Williams, Rep. Prog. Phys.69, 301 (2006)
Molecular rotations, Collisions between gas phase molecules, Electron
response in semiconductors and their nanostructures, Superconducting
energy gaps, Collective modes of proteins vibration,…..
Applications of Strong THz fields
Nonlinear THz Optics• THz 2nd, 3rd nonlinear effects.
• Extreme nonlinearity with
ponderomotive energy > photon energy
• THz-optical nonlinear mixing
Rapid THz imaging• Biomedical and security
imaging
High magnetic field effects• 1 MV/cm 0.3 T
• Pulsed electron spin resonance
• THz spintronics
Strong THz sources
ETHz > 1 MV/cm
Photo courtesy: the Star Tiger
* M. S. Sherwin et al., DOE-NSF-NIH Workshop on Opportunities in THz Science
THz pump experiments• THz pumping of metals, insulators, and
correlated electron materials.
• Coherent band-gap distortion & phase
transition.
• THz-pump optical-probe experiments.
• THz coherent control
Courtesy of X.J. Wang
Nonlinear optics: Time-dependent Cross Phase
Modulation (XPM)
Y. Shen et al.,PRL,
99: 043901 (2007);
Y. Shen et al. PRA,
78, 043813 (2008).
Courtesy of X.J. Wang
Outline
Why to do with intense THz sources
Intense THz sources from electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
Strong THz sources from large
facilities
FEL SynchrotronsLinacs
Stanford, UCSB, FELIX SLAC, JLab,BNL ALS (BNL)
Free electron lasing
M. S. Sherwin et al., DOE-NSF-NIH Workshop on Opportunities in THz Science
Photo courtesy: DESYPhoto courtesy: ALS
Coherent synchrotron
radiation
synchrotron radiation
THz Free electron lasers
From “Opportunities in THz Science”, Report of a DOE-NSF-NIH Workshop held
February 12 – 14, 2004, Arlington, VA, Ed. by M. S. Sherwin et al.
THz generation from ultrashort electron
bunches
G. L. Carr et al., Nature 420, 153 (2002).
M. Abo-Bakr et al., PRL 90, 094801 (2003)
coherent
Incoherent
Courtesy of X.J. Wang
THz radiation source at the Compact ERL (energy
recovery linac)
K. Harada et al. / Infrared Physics & Technology 51 (2008) 386–389
Terahertz coherent
synchrotron radiation
THz from laser-plasma produced
ultrashort electron bunches
Jeroen van Tilborg, PhD Thesis, 2006
Phys. Rev. Lett. 96(1), 014801 (2006)
Outline
Why to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
Different plasma-based THz generation techniques
M. D. Thomson, M. Kress et al., Laser & Photon. Rev. 1, No. 4, 349–368 (2007)
THz emission associated with laser driven
plasma oscillations
H. Hamster et al., Phys. Rev. Lett. 71, 2725 (1993); Phys. Rev. E 49, 671 (1994).
THz emission from laser-driven
filaments in air
G. Mechain et al., Appl. Phys.
B 77, 707 (2003); S.
Tzortzakis et al., Opt. Lett.
27, 1944 (2002);
Conical Forward THz Emission from Femtosecond-
Laser-Beam Filamentation in Air
C. D’Amico et al., PRL
98, 235002 (2007).
Transition-Cherenkov emission
from the plasma space charge
moving behind the ionization
front at light velocity.
Efficient way of THz generation
D. J. Cook and R. M. Hochstrasser, "Intense
terahertz pulses by four-wave rectification in
air," Opt. Lett. 25, 1210-1212 (2000)
w+2w THz
Xu Xie, J. Dai, and X.-C. Zhang, PRL 96, 075005 (2006)
THz emission from a dc-biased laser
filaments in air
Yanping Chen et al., APL 95, 101101 (2009)
Super-broad THz spectrum in laser-gas
interaction
0 200 400 6000
200
400
600
800
1000
He
Air
N2
Ar
Kr
Pyro
ele
ctr
ic s
ignal (a
.u.)
Pressure (torr)
THz energy vs pressure
• ETHz ~ 5 J/pulse with Kr (C.E. > 10-4)
K. Y. Kim et al., Nature Photonics doi:2008.153 (2008).
0 20 40 600
1
Spectr
al pow
er
(norm
.)
Frequency (THz)
Air 580 torr
0
1
Spectr
al pow
er
(norm
.)
Ar 100 torr
0
1
Spectr
al pow
er
(norm
.)
Ar 10 torr
Fourier-transform spectra
THz Radiation from Cerenkov wake in a magnetized
plasma
N. Yugami et al., Phys. Rev. Lett. 89,
065003 (2002). N. Spence et al., Phys.
Plasmas 8, 4995 (2001).
vg
w/k, w ~ wp
Laser
pulse
plasm
a
B
THz emission associated with ultrashort electron
bunches: transition radiation
W. P. Leemans et al., Phys. Rev. Lett. 91,
074802 (2003); E. Esarey et al., Phys. Rev.
E 69, 016501 (2004); J. van Tilborg, et al.,
Phys. Rev. Lett. 96(1), 014801 (2006)Plasma E-Beam
Transition radiation
Outline
Why to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
Recent experimental results on laser
wakefield acceleration: 1GeV in 3cm!
W. Leemans et al., Nature Physics (2007)
An electron plasma wave is
potentially a coherent high-power
THz source
Plasma waves that can be driven by ultrashort laser pulses
oscillate typically at the THz range (e.g., ne=1018cm-3,
wp/2p=9THz).
The field strength before wave-breaking is as high as
GV/cm for ne=1018cm-3. For example, LBL 1GeV in ~cm.
• How can an electrostatic wave (E//k) be converted
to an electromagnetic wave?
(Usually env is cancelled by -dE/dt )
Dispersion of electromagnetic waves and
electron plasma waves
2222
peck ww +
w
klDe
wpe
1
Slope c
Langmuir
waves Slope 31/2vte
2222 3 peevk ww +
They meet each other only at k=0.
EM wave
ES wave
THz radiations from a vacuum-plasma interface by
introducing an inhomogeneous plasma region
22 4/
/2
emn
Lp
pw
pww
3161011.1,12 - cmnTHz e
pew
p
L
w ~2p/L
ZM Sheng et al., Phys. Rev. E 69, 025401(R) (2004).
ZM Sheng et al., Phys. Rev. Lett. 94, 095003 (2005).
ZM Sheng et al., Phys. Plasmas.12, 123103 (2005).
HC Wu, ZM Sheng et al., Phys. Rev. E, 75 (2007), 016407.
Wave vector of a plasma wave in
inhomogeneous plasmas
3/0
2
3),(
,)/(),/(
0
0
0
0
2/1
0000
tvxfork
x
tvxtxk
LxLxnn
g
p
g
pp
-
w
ww
g
p
g
pp
vxtSincek
xL
xtvxLtxk
LxLxnn
/0
)(2
)()(2),(
,)/1(),/1(
0
0
00
0
2/1
0000
-
-+-
--
w
ww
Wakefield driven by ultrashort laser pulses:
longitudinal electric field (a=0.5, T=20, n/L=0.01nc/60l)
A key aspect: evolution of the wave vector
0 0 0
0
( , ) ( )( / ),
/ 0
p gx t x t x v
k x k
w
-
Linear model conversion
q
nccos2q nc
EM
ES
ES
EM
Resonance absorption
Energy conversion efficiency scaling
C mainly depends upon the incident angle and the pulse profile.
dLL
n0
3
00
2
0
2
0
00
5
0 ~~
w
w
ll
l
Laa
n
n
L
dC c
L
energy
Coherent Wake Emission
e-
Conical emission for normal incidence of a
laser pulse with a finite beam diameter
(a=0.5, T=20, n/L=0.01nc/60l)
Effect of transverse beam size
W=10l, t150 W=20l, t150
Two-dimensional simulation of
oblique incidence
W=10l, q15o, t160 W=20l, q15o, t160
Outline
Why to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
Single-Cycle emission from thin plasma
layers
Mechanisms: net transient
currents at the vacuum-plasma
boundaries.
H. C. Wu, Z. M. Sheng et al.,
Phys. Rev. E 77, 046405
(2008).
Scaling with the laser intensity and
incident angle
The THz field amplitude
1/ 2 2
0 sinT Le n a q
Weakly relativistic theory model
2 1/ 2
0 / ea n
1/ 2 2
0 sine en v n a q
en
q
If an electron bunches
interacting with a solid target,
there appears similar effects.
Single cycle emission from steep
plasma density profiles
When wp>2p/L
dL=cL, kL=2p/dL
XG Dong et al., PRE 2009
Outline
Why can one do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
A model for emission from
laser filamens
P. Sprangle et al., Phys. Rev. E 69, 066415 (2004).
2 1/ 2
0 / ea n
2
0
2/1 anBer
Why It is emitted in single cycle
H.C. Wu, et al., submitted (2009)
Second harmonic
Outline
Why to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
THz emission from residual currents
Residual transverse currents
Ways to increase the residual currents:
With two pulses
With a chirped pulse
With a few cycle pulse
A three-step model for THz emission
from field ionization
1. Electrons are freed from atoms by the
tunneling ionization.
2. Free electrons get transverse momenta while
the laser pulse passes by.
3. All moving electrons form an oscillating
electric dipole, which emits THz waves.
H.C. Wu, J. Meyer-ter-Vehn, Z.M. Sheng,
New J. Phys. 10, 043001 (2008).
THz emission in relevance with the CEP
These THz emissions are sensitive to the relative phase
of the two color waves or the absolute phase or carrier
envelope phase (CEP) of the few-cycle pulse.
[1] D. J. Cook and R. M. Hochstrasser, Opt. Lett. 25, 1210 (2000).
[2] M. Kress et al., Opt. Lett. 29, 1120 (2004).
[5] M. Kress et al., Nat. Phys. 2, 327 (2006).
Dj
PIC simulation for linearly-polarized light
90 degree
Circularly polarized light produces
linearly polarized THz emission.
Simulation with two-color lasers
a1=0.06
THz field scaling for the two-color laser
scheme
THz field scaling with chirped laser pulses
A Chirped pulse
~ a0
v
W. M. Wang, Z. M. Sheng et al., Opt. Express 16, 16999 (2008).
Outline
Why to do with intense THz sources
Intense THz sources with electron bunches
Power THz sources from laser plasmas-experiments
Power THz sources from laser plasmas-theory
@Emission from laser wakefield by linear mode conversion
@Emission from a thin plasma layer by transient currents
@Model of emission from laser filaments
@Emission by residual transverse currents from field ionization
@Effect of external DC/AC fields applied to plasma
Summary
Emission by external DC/AC fields applied
to plasma
+V
W.M. Wang et al., J. Appl. Phys. 107,023113 (2010)
Numerical simulation
Emitted field scales linearly with the
applied field
Relation with plasma scalelength
L
Relation with plasma sizes
T=167fs T=400fs
Summary
Laser-plasma can be an efficient intense THz source
Most experiments performed can be explained by existing theories.
High power radiation in the THz range by driving high amplitude EPW: mode conversion
High conversion efficiency, MW in the power.
Single cycle MW THz pulses with a gas jet in a diameter. The mechanism is the transient net currents generation.
Residual currents from field ionization responsible for the THz emission found in laser-gas interaction. A biased field tends to increase the currents and thus increase the emission amplitude.
With a chirped pulse or few cycle pulse, the residual currents can be increased significantly to produce a high amplitude THz wave.
Acknowledgements
H. C. Wu, M. Chen, W. M. Wang, X.G.
Dong, H. W. Du, C. Li, Y. T. Li, J. Zhang
Institute of Physics, CAS and Dept. Phys.,
Shanghai Jiao Tong Univ.
Thank you for your attention!