Resonance Densities in a Cylindrical Plasma Column

Dattner, A.

doi:10.1103/physrevlett.10.205

Cited by 88 publications

(16 citation statements)

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“…As was the case for A = 0 in the similar Fig. The secondary resonances that appear in quadrupole SHG with increasing cluster surface diffuseness can be qualitatively interpreted just like in the linear case [52], where they appeared under the same conditions, as a nonlinear analog of the well-known Tonks-Dattner resonances, which are due to the nonuniformity of the edge in a bounded plasma [43][44][45][46][47]. 5 the double-frequency scattering converges at small values of σ/R and reveals resonance behavior with two maxima (at ω = 1/ √ 10 ≈ 0.316 and ω = 1/ √ 3 ≈ 0.577) for sufficiently small values of the relative clustersurface thickness σ/R < 0.001.…”

Section: Shg and Thg Beyond The Cca (A = 0)mentioning

confidence: 84%

“…9(a) complete convergence for small values of σ/R has not yet been reached, in contrast to the case of A = 10 −5 in Fig. The secondary resonances that appear in THG with increasing cluster surface diffuseness qualitatively can be interpreted again as a nonlinear analog of the Tonks-Dattner resonances [43][44][45][46][47]. This is not surprising, because in the current case beyond the CCA the electron density gradient even for a practically sharp cluster surface is finite and determined by the non-zero value of A, rather than by σ/R.…”

Section: Shg and Thg Beyond The Cca (A = 0)mentioning

confidence: 99%

“…The optical nonlinearities of cold or even ultracold [37] and hot nanoplasmas generated by and/or exposed to a laser field or a radio-frequency field have attracted a lot of recent attention, also in view of applications that have been proposed for geometries more complicated than a simple sphere, such as plasmonic nanoantennas [38][39][40]. A useful diagnostic means is provided by the investigation of the collective modes [37,41,42], the common surface modes as well as the volume modes in a finite inhomogeneous plasma, as they were first observed and discussed by Tonks and Dattner [43][44][45][46][47]. The surface modes are shaped by the details of the surface region and the electron density in this region, which can be affected by outer ionization of the nanobody, by electron spill-out or a halo etc.…”

Section: Introductionmentioning

confidence: 99%

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Plasmon‐Enhanced Second‐ and Third‐Order Harmonic Generation in Spherical Free‐Electron Nanoclusters with Diffuse Surface

Фомичев

Becker

2013

Contrib. Plasma Phys.

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The nonlinear scattering of a laser pulse off spherical nanoclusters with free electrons and with a diffuse surface is examined in the collisionless hydrodynamics approximation in the framework of perturbation theory with respect to the laser pulse intensity, as well as of the steady-state approximation. In a previous publication [S.V. Fomichev and W. Becker, Phys. Rev. A 81, 063201 (2010)] we reported the full nonlinear hydrodynamic model of forced collective electron motion confined to a cluster with diffuse surface and introduced two different perturbation theories corresponding to different laser intensity regimes. In the current paper, in the framework of this hydrodynamic model we focus on the properties of plasmon resonance-enhanced third-harmonic generation in a spherical cluster and its dependence on the shape of its diffuse surface whose role increases for nonlinear processes. At the same time, the quadrupole second-harmonic generation in a spherical cluster is also inspected as a necessary intermediate step. Both cold metal clusters in vacuum or in a dielectric surrounding and hot laserheated and laser-ionized clusters are considered within the same approach for a wide range of the fundamental laser frequency. Nonlinear laser excitation of the dipole plasmon Mie resonance in spherical clusters, as well as of other respective multipole plasmon resonances is investigated analytically and numerically in detail (position, width, and strength) versus the cluster-surface diffuseness, the outer ionization degree in charged clusters, the electron-density diffuseness, and their interplay. Under certain conditions, depending on the various cluster parameters, different secondary nonlinear resonances are found.

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Section: Shg and Thg Beyond The Cca (A = 0)mentioning

confidence: 84%

Section: Shg and Thg Beyond The Cca (A = 0)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plasmon‐Enhanced Second‐ and Third‐Order Harmonic Generation in Spherical Free‐Electron Nanoclusters with Diffuse Surface

Фомичев

Becker

2013

Contrib. Plasma Phys.

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“…It is es pecially worth emphasizing that all of the reso nances co me from a single model, and one should not add a n extra cold plasma reso nan ce to the re so nan ces found from kine ti c th eory or Auid th eor y [Crawford , 1963]. Th e re is nothin g fundamental a bout th e seri es limit [Dattner, 1963;Crawford, 1963J. The highe r resonan ces produ ce relatively weak c han ges in th e dipol e mom e nt because of Landau da mpin g. Furthe rmore, th e Landau dampin g can be expec ted to in crease wh e n o is greater than th e larges t plas ma freque ncy.…”

Section: Results From the Conductivity Kernel Methodsmentioning

confidence: 99%

Scattering resonances of a cylindrical plasma

Leavens¹

1965

J. RES. NATL. BUR. STAN. SECT. D. RAD. SCI.

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Th e Vl asov equati on has bee n solv ed for th e pl as m a reso na nce s pec tra of a re a li s ti c mod el by th e co ndu c tivit y ke rn e l me th od. Th e res ult s give a cle are r pi c ture of th e na ture of p las ma resona nce th a n he re tofore a vaila bl e. Th e calc ulation includ es Landau dampin g a nd does not ) m po se unphysi cal bo und a ry co nditi ons. The proble m of c hi ef inte res t here is th e sca ll e rin g I)f electromagne ti c radia· ti on ne ar th e e lec tron pl as ma fre qu e nc y from a cy lindri c a l pl a s ma whe n th e wa ve vec tor a nd pola ri · za ti on are per pe ndi c ul ar to th e c ylind e r a xis. Th e pl a s ma is nonuniform a nd bo und e d by a s hea th , a nd has di a me te r a s ma ll c omp a red to th e fr ee s pa ce wav e le ngth. Th e sca tt e rin g res ona nces a t th e lowe r frequ e ncies a re produ ce d b y c ha rge de ns it y pe rturb a ti o ns co nce ntrate d a t rela tiv ely la rge radii . But , th e prob le m of a pe rfec tl y c olli s ion less c ylindri c a l p las ma ca nn ot be red uced to a one·dim e ns io nal pro bl e m with out neglec tin g some of th e r esona nces with peri od ic e lec tron orbit s . It is argue d th a t we a k co ul o mb collj sions des troy th ese " tra ns it tim e resona nces," a nd th a t th e pro bl e m is ad equ a te ly desc ri bed b y keepin g ju s t one pe riod of th e elec tro n orb it in th e ca lc ul a ti on of the cond uc ti vit y ke rn e l. Th e c ylindri c a l pro bl e m th e n re du ces to th e p robl e m o f th e s te ad y, dri ve n, oscill a ti o'ns of a thin o ne· dim e ns iona l s lab of colli s ionl ess, Max we lli a n, pl a s ma , with a wa ll a t x= 0 whi c h e m it s e lec t ro ns a nd absorb s ali eleclJ"ons th a t re turn to x = O. a nd a n in s ul a ted wall a t x = x", whi c h a lso abso rbs e lec tro ns .A mod e l is used in whi c h the unperturbe d. e lec tri c fi eld , e ve ry wh e re in th e pos iti ve x·direc tio n, is unifo rm in th e plas ma , 0 ", X '" s. a nd join s s m oothl y to a ha rmoni c oscill ator fi e ld in th e s he a th , s '" X '" XIV ' T he cond uc tivit y kern els for a la rge num be r uf fre qu e nc ies hav e been ca lc ul a te d , a nd in ve rt e d , on la rge e lect ron ic co mp ute rs. Th e res ult s s how th a t mu c h of th e La nda u da mpin g w hi c h d e te rmin es th e lin e s hapes is co nce ntrate d near th e s he ath , a nd th e reso na nce fre q ue nc ies are de te rmin e d by th e pro pe rties of th e s he a th and th e ne ighbo rin g regions of th e pl as m a.

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“…Herlofson further showed that only a single dipolar resonance existed in the cold plasma limit in contradiction to observation. Later laboratory experiments were performed by Dattner [4] in which he measured the electron densities at which the secondary resonances occurred. These secondary resonances shall hereafter be referred to as Tonks-Dattner resonances as is done in the literature.…”

Section: Introductionmentioning

confidence: 99%

Unmagnetized sheath waves

Cooperberg

Birdsall

1998

Czech J Phys

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Plasmas bounded with metal walls have sheaths at their edges near the walls, along which electrostatic waves may propagate. We build on a long history of dielectric-bounded plasma waves, e.g., relating transverse (or series) resonances to cut-off frequencies of our sheath waves. We present kinetic simulations (PIC-MCC), confirming the dispersions and that the edge waves perturbed densities and potentials are largest at the edge; those of the body waves are largest in the body, all as if the two sets of waves are guided along their respective regions.We also drive edge waves sufficiently strongly to cause electron heating producing ionization of the background gas, which maintains a plasma discharge. The heating profiles and density scaling of these resonant surface wave discharges differ markedly from the well known capacitive, inductive, and wave-coupled discharges. 1

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Resonance Densities in a Cylindrical Plasma Column

Cited by 88 publications

References 3 publications

Plasmon‐Enhanced Second‐ and Third‐Order Harmonic Generation in Spherical Free‐Electron Nanoclusters with Diffuse Surface

Plasmon‐Enhanced Second‐ and Third‐Order Harmonic Generation in Spherical Free‐Electron Nanoclusters with Diffuse Surface

Scattering resonances of a cylindrical plasma

Unmagnetized sheath waves

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