The -fileing pplied o Wave lecic and Magneic Field Measuemens fom Cluse Jean-Louis PINÇON and ndes TJULIN LPC-CNRS 3 av. de la Recheche Scienifique 4507 Oléans Fance jlpincon@cns-oleans.f OUTLINS The -fileing echnique - The basics - xamples 3D chaaceizaion of he magneosheah ULF ubulence - Using magneic field measuemens only - Combining elecic and magneic field measuemens Conclusion 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands The -Fileing echnique muli-spacecaf daa analysis echnique allowing o esimae he wave-field enegy disibuion as a funcion of and. CLUSTR 3 4 L M 3 xamples : cb B 4 3 4 3 T M Noaions: T ace P d d e i
File ban appoach o b 3 o 3 4 o a 4 T F File o 0 o P o o File o o P o 0 0 File o o P o 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands 0
5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands { } wih minimum H F F M F T T ace P 3 4 P simaion o o a o b 4 3 L L L L I I I I H i i i i e e e e H d e i d
5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands CLUSTR 3 4 4 3 T M P ace[h T M - H ] Cluse daa Cluse configuaion P simaion
5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands P ace[c C T H T M - H C C T ] Pinçon and Lefeuve JGR99 ; Pinçon e al. ISSI SR-00998 P simaion The consaining maix C 0 0 0 0 0 0 0 0 0 C z y x z y x x y x z y z z y x z y x c c c c c c cb cb cb The exa infomaion we have fom physical laws can be included o fuhe enhanced he -fileing B B xample: B c and Faaday s law
Validiy of Pw Wave-field equiemens The wave-field is saionay Geomeic equiemens 3D analysis 3D geomey Teahedon Geomeic Facos The wave-field is homogeneous No aliasing To avoid spaial aliasing he wavefield has o be fee of wavelenghs smalle han he minimum inespacecaf disance P. Robe e al. ISSI Scienific Repo SR-00 998 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Spaial liasing B B Two saellies canno disinguish beween and B if: πn B - and n is an inege 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Spaial liasing CLUSTR Spaial aliasing if: αβ πn n is an inege ; α and β {34} n + 3 V + n n 3 π V π V π V 4 4 4 34 4 34 34 4 4 Neubaue and Glassmeie JGR990 3 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Repesenaion of he wave-field enegy disibuion P x y z : 4 vaiables! z Fo a given we spli he 3D- domain in slices coesponding o diffeen values of z. z z o Fo each slice we adop a conou line epesenaion. y x 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Simple D examples Two saellies a x and x measuing one field quaniy Φx The wave field is given by: Φx Φ o exp[i o - o x] + noise P o φ o + ε cos[ x x ] ε + ε o o 0. x -x Φ o P is peiodic in 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Simple D examples B The wave field is given by: Φx Φ exp[i o - x] + Φ exp[i o - x] The wo waves ae assumed o no be phase coheen P o φ o φ o φ o cos[ x] cos[ x] + φ cos[ x] o P o : soluion wih only one pea. 0.. xx -x Φ Φ 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
C Same as B one field quaniy bu using hee saellies Simple D examples The moe saellies we use he bee esoluion we ge D Same as B wo saellies bu using wo field quaniies The moe field quaniies we use he bee esoluion we ge 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
pplicaion: Sudy of ULF wave flucuaions in he magneosheah Theoeical agumen Inense ULF wave flucuaions ae obseved in he magneosheah nea he magneopause. These flucuaions ae expeced o play an impoan ole in he ansfes beween he sola wind and he magneosphee. xpeimenal issues Inepeaion of he flucuaions: MHD waves mio mode low hybid waves. Wea ubulence. Song ubulence. Popeies of he flucuaions: No monochomaic waves. Coninuous speca. No clea polaizaion. Cluse daa and B Cluse measuemens K-fileing echnique 3D-chaaceizaion of ULF wave-field flucuaions 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
FGM daa elaed o he seleced even 00-0-8 [05:34:0 05:36:45] UT B z // B o B y Poduced by OVT hp://ov.ifu.se B x X GS 5.6 R Y GS 4.6 R Z GS 8.4 R The wave-field is The wave-field is saionay homogeneous 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Geomeical shape of he eahedon duing he even Inespacecaf disance ~ 00 m P. Robe e al. ISSI Scienific Repo SR-00 998 Z axis 4 3 Y axis GS coodinae sysem m X axis 35959 90 53688 35990 947 53636 3596 905 53596 3 4 3604 933 5367 longaion 0. Planaiy 0. 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Magneosheah plasma paamees duing he seleced even Fom CIS FGM and WHISPR expeimens n 36 cm -3 T i// 40 ev T i 70 ev V 78 m/s f ci 0.33 Hz ρ 79 m β i// 4.5 β i 5.4 Powe speca of he ULF magneic flucuaions P B f // B o P B f B f 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
3D chaaceizaion of ULF magneic flucuaions // f f f3 f4 v n f f B nt /Hz f3 f4-4.5-3.0 -.5 0.0.5 3.0 4.5 ρ F. Sahaoui e al. submied PRL 005 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands 3D chaaceizaion of ULF magneic + elecic flucuaions Poblems: Special spin effec cleaning fo FW daa Nomalisaion of B wih z y x y x y x B B B R R + + + x y y x z B 0 B Consaining maix C deived fom: FW daa: only wo elecic componens Technical poblems on he FW insumens: 00-07-5: 0 Hz file poblem on S/C pobe 3 00--8: pobe failue on S/C pobe 00-07-9: pobe failue on S/C3 pobe Non idenical S/C: Modificaion of he - fileing equaions
3D chaaceizaion of ULF magneic + elecic flucuaions Magneic field only Magneic and elecic fields P B f P B f. Tjulin e al. acceped JGR 005 dvanages: - Dasic educion of aliasing effecs ouside he validiy domain - No moe aliased pea B inside he validiy domain -Highe esoluion: wo local maxima wihin 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
3D chaaceizaion of ULF magneic + elecic flucuaions B: +B: f0.37 f0.6 f3. -0.00-0.067-0.0307-0.004-0.0040-0.0094 0.0053 0.0068 0.044 K K K 3-0.0099-0.037-0.030-0.035-0.003 K a -0.006 K b -0.0069-0.0077 0.0064 0.059-0.004 0.0086 K K 3 K <K a + K b > Hz ad/m GS ddiional infomaion: aio beween magneic and elecic field enegy f ; z 0.06 f ; z -0.00 Raio fo a 97 nt/mv/m a b Raio fo b 5 nt/mv/m K b is moe "elecosaic" han K a 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands
Conclusion The -fileing echnique is a mehod based on simulaneous muli-poin measuemens o chaaceize he wave-field flucuaions in space plasmas in ems of he wave-field enegy disibuion in he fequency and veco space. pplicaion o 3D chaaceizaion of he magneosheah ULF ubulence Wave field enegy is dominaed by mio modes a all fequencies Wave field enegy is cascading fom lage scale o smalle scales along he plasma flow. Combining and B measuemens: Less aliasing effecs Bee esoluion ddiional ineesing infomaion The K-fileing echnique is a ahe complex ool and canno be used ouinely 5 h annivesay of Cluse in Space 9-3 Sepembe 005 S/STC The Nehelands