We theoretically and numerically investigate the ion-acoustic features of collective Thomson scattering (CTS) in two-stream plasmas. When the electron distribution functions of two (stationary and moving) components overlap with each other at the phase velocities corresponding to the two resonant peaks of the ion-acoustic feature, the theoretical spectrum shows asymmetry because the rate of electron Landau damping is different for the two peaks. The results of numerical simulations agree well with the theoretical spectra. We also demonstrate the effect of a two-stream-type instability in the ion-acoustic feature. The simulated spectrum in the presence of the instability shows an asymmetry with the opposite trend to the overlapped case, which results from the temporal change of the electron distribution function caused by the instability. Our results show that two-stream plasmas have significant effects on CTS spectra and that the waves resulting from instabilities can be observed in the ion-acoustic feature.
References
1.
D.
Burgess
, E.
Möbius
, and M.
Scholer
, “Ion acceleration at the Earth's bow shock
,” Space Sci. Rev.
173
, 5
–47
(2012
).2.
S.
Matsukiyo
and M.
Scholer
, “On microinstabilities in the foot of high Mach number perpendicular shocks
,” J. Geophys. Res.
111
, A06104
, (2006
).3.
T.
Umeda
, Y.
Kidani
, S.
Matsukiyo
, and R.
Yamazaki
, “Dynamics and microinstabilities at perpendicular collisionless shock: A comparison of large-scale two-dimensional full particle simulations with different ion to electron mass ratio
,” Phys. Plasmas
21
, 022102
(2014
).4.
R. E.
Lowe
and D.
Burgess
, “The properties and causes of rippling in quasi-perpendicular collisionless shock fronts
,” Ann. Geophys.
21
, 671
–679
(2003
).5.
H.
Takabe
and Y.
Kuramitsu
, “Recent progress of laboratory astrophysics with intense lasers
,” High Power Laser Sci. Eng.
9
, e49
(2021
).6.
Y.
Kuramitsu
, Y.
Sakawa
, T.
Morita
, T.
Ide
, K.
Nishio
, H.
Tanji
, H.
Aoki
, S.
Dono
, C. D.
Gregory
, J. N.
Waugh
, N.
Woolsey
, A.
Dizière
, A.
Pelka
, A.
Ravasio
, B.
Loupias
, M.
Koenig
, S. A.
Pikuz
, Y. T.
Li
, Y.
Zhang
, X.
Liu
, J. Y.
Zhong
, J.
Zhang
, G.
Gregori
, N.
Nakanii
, K.
Kondo
, Y.
Mori
, E.
Miura
, R.
Kodama
, Y.
Kitagawa
, K.
Mima
, K. A.
Tanaka
, H.
Azechi
, T.
Moritaka
, Y.
Matsumoto
, T.
Sano
, A.
Mizuta
, N.
Ohnishi
, M.
Hoshino
, and H.
Takabe
, “Laboratory investigations on the origins of cosmic rays
,” Plasma Phys. Controlled Fusion
54
, 124049
(2012
).7.
D. H.
Froula
, S. H.
Glenzer
, N. C.
Luhmann
, and J.
Sheffield
, Plasma Scattering of Electromagnetic Radiation: Theory and Measurement Techniques
, 2nd ed. (Academic Press
, Amsterdam
, 2011
).8.
A. L.
Milder
, J.
Katz
, R.
Boni
, J. P.
Palastro
, M.
Sherlock
, W.
Rozmus
, and D. H.
Froula
, “Measurements of non-Maxwellian electron distribution functions and their effect on laser heating
,” Phys. Rev. Lett.
127
, 015001
(2021
).9.
A. L.
Milder
, J.
Katz
, R.
Boni
, J. P.
Palastro
, M.
Sherlock
, W.
Rozmus
, and D. H.
Froula
, “Statistical analysis of non-Maxwellian electron distribution functions measured with angularly resolved Thomson scattering
,” Phys. Plasmas
28
, 082102
(2021
).10.
D.
Turnbull
, A.
Colaïtis
, A. M.
Hansen
, A. L.
Milder
, J. P.
Palastro
, J.
Katz
, C.
Dorrer
, B. E.
Kruschwitz
, D. J.
Strozzi
, and D. H.
Froula
, “Impact of the Langdon effect on crossed-beam energy transfer
,” Nat. Phys.
16
, 181
–185
(2020
).11.
R. J.
Henchen
, M.
Sherlock
, W.
Rozmus
, J.
Katz
, D.
Cao
, J. P.
Palastro
, and D. H.
Froula
, “Observation of nonlocal heat flux using Thomson scattering
,” Phys. Rev. Lett.
121
, 125001
(2018
).12.
K.
Sakai
, S.
Isayama
, N.
Bolouki
, M. S.
Habibi
, Y. L.
Liu
, Y. H.
Hsieh
, H. H.
Chu
, J.
Wang
, S. H.
Chen
, T.
Morita
, K.
Tomita
, R.
Yamazaki
, Y.
Sakawa
, S.
Matsukiyo
, and Y.
Kuramitsu
, “Collective Thomson scattering in non-equilibrium laser produced two-stream plasmas
,” Phys. Plasmas
27
, 103104
(2020
).13.
S.
Matsukiyo
, Y.
Kuramitsu
, and K.
Tomita
, “Collective scattering of an incident monochromatic circularly polarized wave in an unmagnetized non-equilibrium plasma
,” J. Phys.
688
, 012062
(2016
).14.
S.
Saito
, F. R. E.
Forme
, S. C.
Buchert
, S.
Nozawa
, and R.
Fujii
, “Effects of a kappa distribution function of electrons on incoherent scatter spectra
,” Ann. Geophys.
18
, 1216
–1223
(2000
).15.
R.
Yamazaki
, S.
Matsukiyo
, T.
Morita
, S. J.
Tanaka
, T.
Umeda
, K.
Aihara
, M.
Edamoto
, S.
Egashira
, R.
Hatsuyama
, T.
Higuchi
, T.
Hihara
, Y.
Horie
, M.
Hoshino
, A.
Ishii
, N.
Ishizaka
, Y.
Itadani
, T.
Izumi
, S.
Kambayashi
, S.
Kakuchi
, N.
Katsuki
, R.
Kawamura
, Y.
Kawamura
, S.
Kisaka
, T.
Kojima
, A.
Konuma
, R.
Kumar
, T.
Minami
, I.
Miyata
, T.
Moritaka
, Y.
Murakami
, K.
Nagashima
, Y.
Nakagawa
, T.
Nishimoto
, Y.
Nishioka
, Y.
Ohira
, N.
Ohnishi
, M.
Ota
, N.
Ozaki
, T.
Sano
, K.
Sakai
, S.
Sei
, J.
Shiota
, Y.
Shoji
, K.
Sugiyama
, D.
Suzuki
, M.
Takagi
, H.
Toda
, S.
Tomita
, S.
Tomiya
, H.
Yoneda
, T.
Takezaki
, K.
Tomita
, Y.
Kuramitsu
, and Y.
Sakawa
, “High-power laser experiment forming a supercritical collisionless shock in a magnetized uniform plasma at rest
,” Phys. Rev. E
105
, 025203
(2022
).16.
D. B.
Schaeffer
, W.
Fox
, R. K.
Follett
, G.
Fiksel
, C. K.
Li
, J.
Matteucci
, A.
Bhattacharjee
, and K.
Germaschewski
, “Direct observations of particle dynamics in magnetized collisionless shock precursors in laser-produced plasmas
,” Phys. Rev. Lett.
122
, 245001
(2019
).17.
G. F.
Swadling
, C.
Bruulsema
, F.
Fiuza
, D. P.
Higginson
, C. M.
Huntington
, H.-S.
Park
, B. B.
Pollock
, W.
Rozmus
, H. G.
Rinderknecht
, J.
Katz
, A.
Birkel
, and J. S.
Ross
, “Measurement of kinetic-scale current filamentation dynamics and associated magnetic fields in interpenetrating plasmas
,” Phys. Rev. Lett.
124
, 215001
(2020
).18.
J. S.
Ross
, S. H.
Glenzer
, P.
Amendt
, R.
Berger
, L.
Divol
, N. L.
Kugland
, O. L.
Landen
, C.
Plechaty
, B.
Remington
, D.
Ryutov
, W.
Rozmus
, D. H.
Froula
, G.
Fiksel
, C.
Sorce
, Y.
Kuramitsu
, T.
Morita
, Y.
Sakawa
, H.
Takabe
, R. P.
Drake
, M.
Grosskopf
, C.
Kuranz
, G.
Gregori
, J.
Meinecke
, C. D.
Murphy
, M.
Koenig
, A.
Pelka
, A.
Ravasio
, T.
Vinci
, E.
Liang
, R.
Presura
, A.
Spitkovsky
, F.
Miniati
, and H.-S.
Park
, “Characterizing counter-streaming interpenetrating plasmas relevant to astrophysical collisionless shocks
,” Phys. Plasmas
19
, 056501
(2012
).19.
T.
Morita
, Y.
Sakawa
, K.
Tomita
, T.
Ide
, Y.
Kuramitsu
, K.
Nishio
, K.
Nakayama
, K.
Inoue
, T.
Moritaka
, H.
Ide
, M.
Kuwada
, K.
Tsubouchi
, K.
Uchino
, and H.
Takabe
, “Thomson scattering measurement of a shock in laser-produced counter-streaming plasmas
,” Phys. Plasmas
20
, 092115
(2013
).20.
H. G.
Rinderknecht
, H.-S.
Park
, J. S.
Ross
, P. A.
Amendt
, D. P.
Higginson
, S. C.
Wilks
, D.
Haberberger
, J.
Katz
, D. H.
Froula
, N. M.
Hoffman
, G.
Kagan
, B. D.
Keenan
, and E. L.
Vold
, “Highly resolved measurements of a developing strong collisional plasma shock
,” Phys. Rev. Lett.
120
, 095001
(2018
).21.
J.
Derouillat
, A.
Beck
, F.
Pérez
, T.
Vinci
, M.
Chiaramello
, A.
Grassi
, M.
Flé
, G.
Bouchard
, I.
Plotnikov
, N.
Aunai
, J.
Dargent
, C.
Riconda
, and M.
Grech
, “Smilei: A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation
,” Comput. Phys. Commun.
222
, 351
–373
(2018
).22.
T. D.
Arber
, K.
Bennett
, C. S.
Brady
, A.
Lawrence-Douglas
, M. G.
Ramsay
, N. J.
Sircombe
, P.
Gillies
, R. G.
Evans
, H.
Schmitz
, A. R.
Bell
, and C. P.
Ridgers
, “Contemporary particle-in-cell approach to laser-plasma modelling
,” Plasma Phys. Controlled Fusion
57
, 113001
(2015
).23.
Y.
Kuramitsu
, A.
Mizuta
, Y.
Sakawa
, H.
Tanji
, T.
Ide
, T.
Sano
, M.
Koenig
, A.
Ravasio
, A.
Pelka
, H.
Takabe
, C. D.
Gregory
, N.
Woolsey
, T.
Moritaka
, S.
Matsukiyo
, Y.
Matsumoto
, and N.
Ohnishi
, “Time evolution of Kelvin–Helmholtz vortices associated with collisionless shocks in laser-produced plasmas
,” Astrophys. J.
828
, 93
(2016
).24.
K.
Sakai
, T.
Moritaka
, T.
Morita
, K.
Tomita
, T.
Minami
, T.
Nishimoto
, S.
Egashira
, M.
Ota
, Y.
Sakawa
, N.
Ozaki
, R.
Kodama
, T.
Kojima
, T.
Takezaki
, R.
Yamazaki
, S. J.
Tanaka
, K.
Aihara
, M.
Koenig
, B.
Albertazzi
, P.
Mabey
, N.
Woolsey
, S.
Matsukiyo
, H.
Takabe
, M.
Hoshino
, and Y.
Kuramitsu
, “Direct observations of pure electron outflow in magnetic reconnection
,” Sci. Rep.
12
, 10921
(2022
).25.
T. N.
Kato
and H.
Takabe
, “Electrostatic and electromagnetic instabilities associated with electrostatic shocks: Two-dimensional particle-in-cell simulation
,” Phys. Plasmas
17
, 032114
(2010
).26.
Y.
Ohira
and F.
Takahara
, “Oblique ion two-stream instability in the foot region of a collisionless shock
,” Astrophys. J.
688
, 320
–326
(2008
).© 2023 Author(s). Published under an exclusive license by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.
