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Coherent THz Radiation from Intrinsic Josephson Junctions. K. Kadowaki , M. Tsujimoto, K. Yamaki, N. Orita, T. Koike, T. Kashiwagi, H. Minami, T. Yamamoto, T. Hattori, Krsto Ivanovic, M. Tachiki Institute of Materials Science, and Graduate School of Pure and Applied Sciences, - PowerPoint PPT Presentation
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University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Coherent THz Radiation from Coherent THz Radiation from Intrinsic Josephson JunctionsIntrinsic Josephson Junctions
http://kadowaki.ims.tsukuba.ac.jp/, http://www.tsukuba.ac.jp
K. Kadowaki, M. Tsujimoto, K. Yamaki, N. Orita, T. Koike, T. Kashiwagi, H. Minami, T. Yamamoto, T. Hattori, Krsto Ivanovic, M. Tachiki
Institute of Materials Science, and Graduate School of Pure and Applied Sciences, University of Tsukuba
A. E. Koshelev, K. E. Gray, W. –K. Kwok and U. Welp
Materials Science Division, Argonne National Laboratory
and
Richard Klemm
Department of Physics, University of Central Florida
Lecture given at the Institute of Radio-Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia, July 19th, 2010.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Outline of TalkOutline of TalkIssues to be discussed(1). Brief Introduction
THz waves: What is special ?(2). Josephson Plasma Excitation(3). THz Radiation
Electromagnetic Mode Determination Shape dependence
Rectangular, cylindrical, square mesas
Angular dependence Mechanism of Radiation
(4). Excitations from Individual Layers(3). More Experimental Results
coherent operation of two junctions
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
100 103 106 109 1012 1015 1018 1021 1024
kiro mega giga tera peta exa zetta yotta
THTHzz
1010 1011 1012 1013 1014
FIR MIR NIR visible
frequency 10[GHz] 100[GHz] 1 [THz] 10[THz] 100 [THz] wave length 3[cm] 3[mm] 300[m] 30[m] 3[m] wave number 0.33[cm-1] 3.3[cm-1] 33[cm-1] 330[cm-1] 3300[cm-1]
Molecular SpectroscopyAtomic spectroscopy
Macromolecule fundamental mode electronic transition rotational mode higher harmonics
MF VHF SHF HF UHF EHF
microwaveElectronicsElectronics PhotonicsPhotonics
x-ray -ray
FREQUENCY (Hz)FREQUENCY (Hz)
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Characteristics of THz from Characteristics of THz from IJJ’sIJJ’s
Advantages1. New generation mechanism: using collective modes in
superconductors (Josephson plasma modes, not quantized energy levels)
2. Vibrational and rotational modes of molecules, bio-molecular substances such as DNA, RNA, etc.: applied all kinds of materials
3. Chemical finger prints: distinction of materials from atomic or molecular levels in drug industries for separation, detection, etc.
4. Low energy: 1 THz = 4 meV = 50 K5. Nondestructive and noninvasive: non-ionizing, but thermal
effects6. Compact and all solid state devices: small, light, high power
efficiency7. Imaging purposes: medical use, security issues, defense, food
industries, quality control, etc.8. Communication: high speed communications at near distances
Disadvantages1. Necessary to cool below Tc=80 K
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
BiBi22SrSr22CaCuCaCu22OO8+8+
Intrinsic Josephson JunctionsIntrinsic Josephson Junctions
1.53 nm
Bi-2212 order parameter
Bi2O2
Bi2O2
CuO2
CuO2
CuO2
CuO2
CuO2
CuO2
SrO
SrO
SrO
SrO
Intrinsic inhomogeneity
multilayer effects
1 m=760 layers
unit cell of Bi2212
Schematic view of rectangular mesa
Ozyuzer et al., Science, 318 1291 (2007)
1. R. Kleiner et al., Phys. Rev. Lett. B49 (1992) 23940
2. G. Oya, et al., Jpn. J. Appl. Phys. 31 (1992) L829..
3. K. Kadowaki & T. Mochiku, Physica B195-196 (1994) 2239.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Josephson plasmaJosephson plasmajA
1. P. W. Anderson, “Lectures on The Many-Body Problem” (vol. II), edited by E. R. Caianiello, Academic press, 1964, p113.
2. B. D. Josephson, “Quantum Fluids, Proc. Susex Univ. Symp.”, 16-20, 1965, ed by D. B. Brewer (North Holland), p174.
3. B. D. Josephson, Adv. Phys. 14 (1965) 419.4. W. E. Lawrence & S. Doniach, “Proc. 12th Int.
Nat. Conf. Low Temp. Phys.”, edited by Kanda, p361 (1970).
meV
jed cp
602
/8
1002/ ppf Gc/s
Single junction Multi-junctions
実験的検証1. Y. Matsuda, et al., Phys. Rev. Lett. 75 (1995) 4512.2. K. Kadowaki, et al., Phys. Rev. B56 (1997) 5617.3. K. Kadowaki, et al., Europhys. Lett. 42 (1998) 203.4. I. Kakeya, et al., Phys. Rev. B57 (1998) 3108.
microw
ave
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Evidence for Evidence for Josephson PlasmaJosephson Plasma (I)(I)
Instrumental arrangementSample arrangement inside cavity
longitudinal
transverse
1. K. Kadowaki, et al., Phys. Rev. B56 (1997) 5617.2. I. Kakeya, et al., Phys. Rev. B57 (1998) 3108.3. K. Kadowaki, et al., Europhys. Lett. 42 (1998) 203.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Evidence for Evidence for Josephson PlasmaJosephson Plasma (II)(II)
1. K. Kadowaki, et al., Phys. Rev. B56 (1997) 5617.2. I. Kakeya, et al., Phys. Rev. B57 (1998) 3108.3. K. Kadowaki, et al., Europhys. Lett. 42 (1998) 203.
Temperature dependence Size dependnece Resonance field vs. sample size
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Josephson Plasma Mode (II)Josephson Plasma Mode (II)
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Josephson Plasma Mode (III)Josephson Plasma Mode (III)
NormalSuperconducting
Plasma Mode
Tc
c-axis Josephson Plasma Mode
0
An
de
rso
n-H
igg
s M
ech
anis
mm
nep
22 4
Jps
c
n e
m
c
22
2
2
4
Carlson-Goldman Mode
Nambu-Goldstone Mode
(Longitudinal Mode)
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Strong, Continuous and Strong, Continuous and Coherent THz RadiationCoherent THz Radiation
9 10 11 12 13 14 150
50
100
150
200
Inte
nsi
ty (
a.u.)
wavenumber k (cm- 1)
V=0.826 Vk=0.374 cm-1
k/k=0.0316 resolution limit
2nP rad
Line width
=1 GHz ( ~ 0.03 cm-1) Radiation Power, P
Line width
Optical image of mesa structure
Ozyuzer et al., Science,
318 1291 (2007)
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Photo of the sample by SEM
Mesa Structures (I)Mesa Structures (I)
1. Conventional rectangular mesa
2. Cylindrical mesa 3. Groove type mesa
Schematic view of the sampleOzyuzer et al., Science, 318 1291 (2007)
70.1 m97.1 m
~ 15 m
Thickness ~ 1.4 m
THz waves
THz waves
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Experimental Setup (I)Experimental Setup (I)
He flow cryostat
Mesa
FT-IR spectrometer
Si Bolometer
c-axis
ab-plan
e
load resistance
Mesa sample
Standard Resistance
10
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Radiation Radiation Power Power PP vs. vs.
nn2nP rad
Coherent Radiation!single layer JJ : Psingle ~ pW
multilayered IJJ :PIJJ ≥ W - mW
10 5-106 times more power!
Ozyuzer et al., Science, 318 1291 (2007).
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Radiation Spectra and Radiation Spectra and PolarizationPolarization
100 ~ 1000 times stronger Nearly 100% polarized
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Two Types of RadiationTwo Types of Radiation• Reversible(R-type)• Irreversible(IR-type)
44Ω<R(Tc)
140Ω ~ R(70K)
56Ω ~ R(Tc)
Both can be found in a same mesa
T< 35K - R-typeT>40K - IR-type
In this particular case
Minami, et al., Physica C (proceedings of M2S)
Supplemental No. 4
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Vicinity of RadiationVicinity of Radiation
K. Kadowaki, et al., JPSJ Letters 79 (2010) 023703(1-4).
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Temperature Temperature DependenceDependence
• Radiation occurs in a certain range of temperature
• The temperature of the mesa is floating up about 10-40 K above the bath temperature.
0 10 20 30 40 50 600.0
0.5
1.0
Norm
aliz
ed In
tensi
ty (
arb
.)
T (K)
Highly inhomogeneous and
Non-equilibrium??Ozyuzer et al., Science, 318 1291 (2007), Kadowaki, to be published
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Geometrical ConditionGeometrical Condition
f vs 1/w
c0: velocity of light
n: refractive index : wave length of radiation
w: narrower width of mesa
nw
c
n
cf
200
w
L
K. Kadowaki, et al., J. Phys. Soc. Jpn. Letters 79 (2010) 023703(1-4).
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
The Cavity ModesThe Cavity Modes
Since w<L, the lowest energy mode would be (01) mode with m=0 and p=1.
21
22
0
J
22
L
p
w
mk
ckkn
c
hN
eV
N
eV
mp
mpmpmp
L
w
Experimental result definitely shows that the lowest mode is (10) mode.
The reason is not understood yet.
M. Tsujimoto, et al., accepted for publication in PRL
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Patch Antenna TheoryPatch Antenna Theory
Marco Leone, IEEE Trans. Electromag. Compatibility, 45 (2003) 486
x
yy
xx
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Comparison of Experimental Comparison of Experimental Results with CalculationsResults with Calculations
xz-plane
xy-plane
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Possible excitation Possible excitation modesmodes
Symmetric
Dipole radiation-likeE: linearly polarized
Klemm and Kadowaki model
IJ
Cancelling dipole radiationE: linearly polarized
Anti-symmetric
E
MixedMixed
R. A. Klemm and K. Kadowaki, J. Supercond. Nov. Magn., 23 (2010) 613-616.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Higher HarmonicsHigher Harmonics
• Higher harmonics up to 4th order (2.5 THz)
• Exponential decay• No sub-harmonics• No harmonics from
geometry but from the ac Josephson effect
Kadowaki, et al., Physica C 468 (2008) 634-639,Tsujimoto, et al., accepted for Phys. Rev. Lett.
Supplemental No. 3-1
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Higher Radiation ModesHigher Radiation Modes
Fundamental mode 2nd harmonics
90 ° 90 °
Supplemental No. 3-2
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
an
c mpmp
20
0
ar
z
r
E
D = 2a
a4
Formation of the cavity resonance mode
See, M. Tsujimoto, et al., accepted for publication in PRL
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
1. At =0o, P is local minimum.2. P has a maximum aroud =
25o
3. P0 at 0o.
Cavity Cavity resonance moderesonance mode Uniform modeUniform mode Model calculationsModel calculations
Experimental Results ofExperimental Results ofAngular Dependence Angular Dependence
Klemm & Kadowaki, ibid
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Resonant Emission of Resonant Emission of Two Mesas (Frequency Two Mesas (Frequency
Pulling)Pulling)(n2=4)n2
exp=3.2-3.4
Supplemental No. 5
Minami, et al., APL 95 (2009) 232511.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Radiation Radiation from Inner-Branchesfrom Inner-Branches
M. Tsujimoto, submitted to PRL
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Full Wavelength Full Wavelength Resonance ModesResonance Modes
See, Poster presentation(P3), by T. Kashiwagi.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Standing Waves Standing Waves Observed?Observed?
H. B. Wang, et al., Phys. Rev. Lett. 101 (2009) 017006.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Hot Spot and Waves ?Hot Spot and Waves ?
H. B. Wang, et al., Phys. Rev. Lett. 101 (2009) 017006.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
THz Emission ObservedTHz Emission Observed
H. B. Wang, et al., arXiv: 1005.0081v1
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
High Quality Single CrystalsHigh Quality Single Crystals
Crystal growing equipment
Double ellipsoidal mirror infrared furnace
High quality single crystal
Approx. 5 cm
8 mm
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
AB
0
2
t
Ve
dt
d
J
dc
0
2
dcdc V
h
eVf
eV
J
2
Multi-stacked Josephson junction
Giant Josephson junction
1
2
21
Vdc
P∝N2 ac-Josephson Effect
N layers
Emission Emission MechanismMechanism
Geometrical ResonanceGeometrical ResonanceQuantum mechanical Quantum mechanical coherent synchronizationcoherent synchronization
Strong, coherent, continuous electromagnetic wave emissionStrong, coherent, continuous electromagnetic wave emission
LASERLASER
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Efficiency of EmissionEfficiency of Emission(( present statuspresent status ))
at present desired in future
input power 17 ~ 20 mW 10-20 mW
output power (at detector) ~ 50 W (360 nW ) 1 mW
area energy density ~ 10 W/cm2 ~ 100 W/cm2
volume energy density ~ 3000 W/cm3 ~ 5x104 W/cm3
efficiency ~ 0.3% ~ 5-10%
For useful applications,For useful applications,a factor of 10-20 should be improved!a factor of 10-20 should be improved!
cf. LASER Diodes: efficiency ~ 70 %
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
THz gap
0.01 0.1 1.0 10 100
10-3
100
10-1
10-2
10-4
101
102
103
104
Pow
er (
mW
)
Frequency (THz)
THz THz gapgap
Opt
ics
Pho
toni
cs
Electronics
photomixing
Qu
antu
m c
asca
de
lase
r
III-V
lase
r
Gunn
IMPATT
Intrinsic Josephson
LASER
10 1001 1000 (cm-1)
Microwaves Far infrared lightpresent stage
After M. Tonouchi, Nature Photon. 1, 97 (2007).
THz Sources by Small Scale Solid State Devices
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Comparison of PowerComparison of Power
WP 5030
LASER pointer(class 2)
Green light: 532 nm
IJJ J-LASER(STAR-emitter)
at present x 20
1 mW
efficiency0.3 % only 6 %
Coherent, Continuous,and Compact size(C3 STAR-emitter)
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Applications (Case I)Applications (Case I)DNA DNA
finger print finger print spectrumspectrum
Guanine (G) Adenine (A) cytosine (C) thymine (T) Medicine,Diagnosis,Drag manufactures,Radiation therapy, Environmental analyses,Variety of imaging,Security,Meta-materials,High-speed communication,Quantum information,Food industries,Fundamental mechanism 0f HTSC,Etc.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Case (II)Case (II)
• imaging
After K. Kawase, Optics and Photonics News, Oct. 2004, p.38
Supplemental No. 10-1
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Case (III)Case (III)Supplemental
No. 10-2
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Case (IV)Case (IV)
Night vision
securityThe infrared camera is available
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
ReferencesReferences1. Ozyuzer et al., Science, 318 1291 (2007).2. K. Kadowaki, et al., PhysicaC 468 634-639 (2008).3. Minami, et al., APL 95 (2009) 232511.4. J. Leiner, et al., Appl. Phys. Lett. 95 (2009) 252505.5. C. Kurter, K. E. Gray, J. F. Zasadzinski, L. Ozyuzer, A. Koshelev, Q. Li,
T. Yamamoto, K. Kadowaki, W. –K. Kwok, M. Tachikiand U. Welp, IEEE Transactions Appl. Superconductivity 19 (2009) 428-431.
6. K. E. Gray, A. E. Koshelev, C. Kurter, K. Kadowaki, T. Yamamoto, H. Minami, H. Yamaguchi, M. Tachiki, W. –K. Kwok and U. Welp, IEEE Transactions Appl. Superconductivity 19 (2009) 886-889.
7. L. Ozyuzer, et al., Supercond. Sci. Technol. 22 (2009) 114009.8. R. A. Klemm and K. Kadowaki, J. Supercond. Nov. Magn., 23 (2010)
613-616.9. K. Kadowaki, et al., J. Phys. Soc. Jpn. Letters 79 (2010) 023703(1-4).10. Minami, et al., Physica C (proceedings of M2S, available in online)11. Orita, et al., Physica C (proceedings of M2S, available in online)12. Tsujimoto, et al., Physica C (proceedings of M2S, available in online)13. M. Tsujimoto, et al., accepted for publication in PRL.14. R. Klemm and K. Kadowaki, submitted to Phys. Rev. B, arXiv.
Ar0908.4104.15. R. Klemm et al., submitted to Phys. Rev. B.
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Summary (I)Summary (I)
N
V
h
e obsobs
2
)029.1(6731617.568
791523.0
001.0
5940.483
2m
f
V
e
hN
obs
obs
1.
2.
ac Josephson effect is valid
3.2NPobs
All junctions are coherent!Two mesas synchronize
N intrinsic junctions work together as if they are a big single junction.
(V)
Coherent resonant emission occurs when
w
thicknessdVobs
)(2.48
is satisfied. ([d], [w]=[m])
nw
cobs 2
0 C0: velocity of light in vacuumn: refractive index =1/ =4.19w: width of the sample
( ~ 5 W)
ac Josephson Laser (STAR-emitter)!
Resonance mode with ,...2/,,2 wwwNo su-bharmonics are observed
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Summary (II)Summary (II)4. Monochromatic spectrum GHzf 0.1
5. Synchronization Effect of multiple mesas5. Synchronization Effect of multiple mesas
The synchronized resonance between Nn mesas is observed
2nNP
6. Power: It needs about 20 times more power6. Power: It needs about 20 times more power
PPoutout ∼∼1 mW1 mW
University of University of TsukubaTsukuba
Photonics and Quantum Optics for the Creation of New Functions“Emission of Continuous THz Waves by Layered Superconductors and Its Applications”
Thank you for your attention