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A study of the propagation of Alfvén waves in the auroral density cavities

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(1)A study of the propagation of Alfvén waves in the auroral density cavities Vincent Génot, P. Louarn, D. Le Quéau. To cite this version: Vincent Génot, P. Louarn, D. Le Quéau. A study of the propagation of Alfvén waves in the auroral density cavities. Journal of Geophysical Research, American Geophysical Union, 1999, 104, pp.2264922656. �10.1029/1999JA900154�. �hal-00290085�. HAL Id: hal-00290085 https://hal.archives-ouvertes.fr/hal-00290085 Submitted on 25 Jun 2008. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(599)  |ˆp;} †|{“ v { v }†¡2€ { 4X&d ìê

(600) 0~  |ˆ †

(601) †x€w¡ˆ v 2{æ æ A

(602) &3: R4µ3†x x }{ _ P

(603)  R v v ˆ 3†| K’ | ’ %’ v 4Ÿ„ u  |†|{^} v ;  

(604)  ƒ  E

(605) & | u P~ ‚ 2 ~€3M‚ƒE3{Ÿ KԀ} |ˆ 3†È` 2

(606) 0` 2}{ |ˆ2 }†

(607) “ |}3’“3~  2 xԀ v ˆ 3†| 

(608) b   F  "  v ˆ 3†|ˆ2 }† 2{× |× >   ! { ’“3 |æN ˆz |’“ v  2F —4IÈ 2 ƒ ¡3

(609) ¦3€K xw 2z |’“ 3{Ù3†x x {} ƒ ‚ ;

(610)  P&3 |Ÿ z’“. |’I }’ w33†| } ;¹ v

(611) & |R)êZ v  u)v P

(612) 0w 2{Š 2

(613)  ¦ T3

(614) &{} | 2Z’“. |’ %’ v 4 ’ &

(615) 0{ | 2:

(616) &Š 2

(617) 04€æ 2†|3Y †  Q v  ň235

(618) 0

(619) A4 A_v   3j|}{ {ƒ |:3^E K }j|{ ~ ¬ P

(620) 0` { |ˆ †

(621) ‚ˆ  ’R`  È4— Z †| 2ˆ20

(622)  |ˆ“;) 2†|{ ¡3

(623) ìA’ ê  ¡ Z

(624) v  ˆÂ’V v  w .’ 3 xˆ&Ôw €× .A4AT  ƒ

(625) v v v 4   2. }  2.  ! 

(626) Â.  . 3 w 3  | †  . ˆ | †  .   å  ×    2

(627) IM  M 3{d32.A4A> j){ 4 v   

(628) 3  )          |.  ×  4  —     x † 9 € A  4 A T A   ’ .  |.  { _.     _.  ˆ 2   w x. Ô   € 9 4 z y 3

(629)  P~ #ÈZ} M} %M  v N†| x { v2ƒ ×0

(630) & v w 2

(631) v A D=` ˆP v { v ~ Âw P

(632)

(633) ˆÂ3 u   AÂw P

(634) M v %  <;}ˆÂ+†x€; + { {æ3†x x~ 3

(635) 0È N} † v x |ˆ= 2

(636)  ›3

(637)  Z

(638)  ’“3 | v }3’“43  2 v 4  { 

(639) &3: w v Pw P

(640) &3†9 v 3{ v ’V Q @ 3YAA‹ j){ ! # v } æ) † v Š` 2} P0

(641) & v  dˆ  w xԀ ƒ x; }{ P

(642) 0  v  { 3 |:E “ | 2

(643) 0 3†!

(644)  3 ’ 4µ eÈ w 34È  {}M P~ 0

(645) &3 v w P

(646) v ×{ v 3

(647) 0 | Š{  E} 0

(648) & v w 2

(649) v w3

(650)   |  ` { 2}ˆ2 I49} I{  v xԀK 2{ v ×

(651)  2{} ˆ2 I Mw †  I 4`} #Z†%¡wµ2 “w †|ˆ2 xԀ4¬È _` 2

(652) 0` 2{} |ˆ2 †¡ê

(653) ‰È w 2†| :3

(654) = ¦Žµê

(655) 0K{ |

(656)  2ˆP 3—4 v 

(657)  |: v {3N†| :3R4 3

(658) { P

(659) f4)} ì †| 2ˆ20

(660) 3 |~ #Z 

(661) 

(662) &3†9{ 2 v |Ԁzˆ  w x | v 

(663)  I} 2 v o“ˆ2  2†x€z{ 2 2 P

(664) 0 ¡†† 2:3 4?d z v † v ¹’“ ƒ  A ”+  xw 3†| 2'z } j){ v ›

(665) _ˆ2  v { P

(666) & u †x€{ v 3

(667) 0 |:A} xÈ2w '¡

(668)   4&T} Pw 2

(669) 4 µ3

(670) { 2

(671) 9 ~€3M‚ƒrÂw P

(672) ¬ È3†x x { f

(673) &3: x+ 2AA4A ’ ƒ x v |} x 3† v }` ƒ 3T#)& } † v µ 2 2

(674)  |:Z3I3 

(675) 3

(676) &†{ 2~ QcAA4A_’e6 ƒ |= Z

(677)  3 3 v 4 ’“. |’I ’ 3

(678) &3{ |  4rÈ} v xԀ׈Â2w xԀ׈Â3=+ v ”+  |ˆ†|€L3 |× v ’“3†|†0

(679) &3 v w P

(680) v |’`3

(681) 0&+9` | v 3“ P

(682)  ì v }µNˆ  w xԀAˆ2 ’R)

(683) &~ †| :3 v ˆ 3†| v ˆ2 ’) u †| x xE '›3

(684) ’“ | K4¬ v %3~ u †| _M Z  v 3ˆ2 }3†|†x€ u}v 2

(685) 0w {= v  u † _Mˆ2

(686)   }  <;)ˆ 3ì)

(687) &3†|†| † 2†| ˆP0

(688)  |ˆ ;} 2†{ 4 v ’“3†|† v ˆÂ† v ’×}{}

(689) 0€?›3

(690) „ 9ˆ2

(691)   | N4 v %  <;}ˆÂ+ )

(692) &3†|†| †µ †| 2ˆ20

(693)  |ˆl;} 2†|{^ 2w Ü¡ P

(694) “ v 3

(695) 0R

(696) 3) |  ņ| v0v }3Y.A4A4AK’ ƒ 

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