Spin dynamics in confined magnetic structures/ 1 PDF
Preview Spin dynamics in confined magnetic structures/ 1
BurkHairldbl rea nKdasm eOlu nad(jEedlsa. ) SpiDny namics inC onfineMda gnetic I Structures With1 66F igures Includ3i3ni gnC olor Springer ProBfu.r kHairldl ebrands DrK.a mOeuln adjela FachberePihcyhs ik Groupde' EtuddeesM ateriaMuext alliques UniversKiatiaste rslautern InstidteuP th ysique Erwin-Schrodinge5r6- StraEe etC himidee sM ateriadueSx t rasbourg 6766K3a iserslautern 23r,u ed eL oess Germany 6703S7t rasboCuerdge x [email protected] France LibraorfyC ongreCsast aloging-in-PuDbaltiac ation Spindy namiicnsc onfinmeadg netsitcr uctIur BeIusr khaHridl lebraKnadmse,l Ounadjeeldas,. p.e m.--(Topiicnsa pplipehdy sicIsS,S N0 303-42;1 v6.8 3) Includbeisb liograprheifcearle nacnedis n dex. ISBN3 5404119(1a7l kp.a per) l.M agnetsitcr uct2u.rN eu.c leasrp inI..H illebraBnudrsk,h ar1d9,5 7I-IO.u nadjela, Kamel1,9 53I-IIS.e ries. QC754.2.M3S36652 002 538'.3--dc21 2001043449 Physiacnsd A stronomy ClassSicfihceamt(eiP oAnC S): 75.30--m;7 5.6-0d;.8 5.70.7K8h.;2 0.-e ISSNp rinetd iti0o3n0:3 -4216 ISSNe lectreodniitci 1o4n3:7 -0859 ISBN3 -540-41S1p9r1i-n7g er-VBeerrllaHigen i delbNeerwgY ork Thisw orki s subtjoec cotp yrigAhltrl.i ghatrser eservwehde,t hetrb ew holoer p arotf t hem ateriiascl o ncerned, specifitchaelr liyg hotfst ranslatrieopnr,i ntrienugs,oe f i llustrarteicointsa,t biroona,d castrienpgr,o ductoino n microfiolrmi na nyo thewra y,a nds toraigned atab anksD.u plicatoifot nh ipsu blicatoirop na rttsh ereiosf permittoendlu yn detrh ep rovisiooftn hseG ermaCno pyrigLhatwo fS eptemb9e,1r 9 65i,ni tcsu rrent vearnsdi on, permissfioornu sem usta lwaybseo btainferdo mS pringVeerr-laVgi.o latiaornels i abfloerp rosecutuinodne trh e GermanC opyrigLhatw . SpringVeerr-lBaegr liHne idelbNeerwgY ork am embero fBertelsmannSpSrciinegneBcrue s+i neMsesd iaG mbH http://wwrwi.nsgper.de © SpringVeerr-lBaegr liHne idelb2e0r0g2 PrintiendG ermany Theu seo fg enerdaels cripntaimvees r,e gistenraemde st,r ademarektsci,.n t hipsu blicadtoieonsno ti mpleyv,e inn thea bsenocfea specisftiact emetnhta,st u chn amesa ree xempftr omt her elevapnrto tectliavweas n dr egulations andt herefforreefe o rg eneruasle . TypesettDiAn-TgJl:l( G erBdl umensteLieni,p zig Covedre sigdne: si& pgrno ducGmtbiHo,H nei delberg Printoenda cid-fpraepee r SPIN1:0 780432 56/3141/m5f4 3210 Preface Thibso ookn' Spdiynn amiincc osn fimnaegdn esttircu cIta'ud rderset shsee s nedwe velopimnte hpneht yss aiscsso cwiiatthe dm agnetizaantdi on processes thmea gnetizatiionnc odnyfinmnaaemgdin cesstt ircu ctuirste hfiser. s tI t voluimnaep lansneerdoi nte hsvi esr tyi mteolpyIi tec v.o lfvreoldme ctures delivaettr hesedu mmsecrh oono' lM esomagsnpeidtnyi nsamm,ai ncsdsp in electronicbsyK' . O ourngaadanjnieDdzl.e aN d i arcahtRo hso d(eGsr eece) inS eptem1b9e9ur9n dtehrfe r amewooft rhkTre a inianngdM obiloift y YounRge sear(cThMeRnr)e tw'oHrikFg rhe quDeynncaym oifc sM esomag netSiycs tefmusn'db,ey td h Eeu ropCeoamnm is(sFiMoRnX -C-T09417)2. Thev aricohuasp toeftr hsib so ocko vtehrwe h orlaen ogfse p idny namics frommi llisdeocwtononf de mtosteicmoensdct ahlupesrs o,v iadnii nntgr o ductainoadnn o vervointe hwce u rrsetnaottft e h aer tton ewcoimnet rhsi s field. Quigteen ermaalglnye,ot fics omn fisnyesdt iesamv se rayc tainvfdea st movifinegli dns olid-stattheah tap bshe yeasnti tcrsa ctiantgt emnutciho n througthholeua tds etc aTdheei. n teirnme asgtn emtaitce roibatlasia n ed complenteewal nydu nforemsoemeennt wuhme gnr owatnhdl ithographic pattemrentihnogkd nso,wf nr otmhfi ee lodfs emicondwuecratepo prltsio,e d magnemtaitce crliaaslws heisrc,eh s uilntt hededi scoovfae rnyu mobffe ars cinaftuinndga mpernotpaelSr ttairewtsii.ttn hhgg e r owotfah r tilfiacyiearle d magnemtaitce rwiiatllhas y,te hri cknoents hsaeet so msiccaa ll ea,rv gaer i etoyfn epwh enomseuncaahst, h oes cililnatlteaoryree yxr c hacnoguep ilni ng magnetic/nomnu-lmtaiglntaehygteeii racmsn a,tg netoreesffiesctta nacned quantsuimez ffee citnts h eel ectarnomdna igcn eto-porpotpiechraatlvi ee s, beesne eSnt.i mulbaytt heedds eev eloprmeesnutlfstr,io tnmhg le a yering andr educotfti hoseny stseimiz net hvee rtdiicraelc atn iaotnue,rx atle n siowna sto v entiunrtaeof urtrheedru cotfti holena tesriazalen sdq ,u ite generianltllooy w,- dimesnyssitooefnnm aasln omeextteerTn hte.cs oen fined magnesttircu cwtiutrshey ss,ts eimzi ents h seu b-micrroamneegtxeeh,ri bit novmealg neptriocp ebrytv iierostf ut eh epihry ssiiczabele, ic nogm parable witthhl ee nsgctahwl heiscc hha ractthemera igznee ttihdseom m:a siinzt eh,e domawianl l thicekxncehsalsne,gn egtt thhhsee,p ipnr ecelsesnigottnhh e, spidni ffuslieonnga tnhtd,h t eh eramnatdlh eel ectsrciactatllee rnigntgh s. VI Preface Initiinavlelsyt,i cgoantcieonnotsnrt ahstete adpt riocp e(rmtaigense tiza tiocnon figuraastsioocnwi)ia ttthhed edi minissyhsitsneigmzd eoswt not he sub-micrroamnTeghteeem.r a gnetirzeavteirosna la spaf r uoncceotsfis oens ana pplfiieelwdde rien vestiintg haqetu easdi -srteagtiwimhcee ,tr hese p in configuirosab tsieorfnvo eldl otwhmiean ggn etilzoaoitpnai nao pnp lfiieeldd . A varioefct oym plemmeinctraorsytc eocphyn wieqrueeem sp lofyoterhd ese experimsetnudtIianpel as r.a sltluedloi,nne usm erciaclaclu lsahtoiwoends significant progress. Inc onttroat shtes stea atniqdcu asi-statict hiweni vdreeas ntgieg ations, ofd ynapmriocp eorfmt eiseoss copic magonnelstyti actr oete msle ermgeen ts witdhi reexcpte riemveindtoeafsnl pc ideny namiintc hste i mdeo mawihni ch alluoswt soe lucitdhsaewt iet cmheicnhga nainstdmh sse w itcshpieneogdn s picosoerec vonefdne mtosteicmoensdTc haelssetesu .dp ioesnsee qwu estions, foerx amapbloetu htte e mpolriamflio ttrsh m ea gnetirzeavteiprorsnoa cle ss indubcyee dx tefirenlapdlu lsoefss h odrutr atainodon nt, h reo loeft he damping parmaamgenteetri,az namtdtah igeon nea tniics otarswo eplailse s thsey stsehma apnesd i iznet hriesv eTrhseda yln.a moifsc msa mlalg netic elemeinset xsp ecttode idff ferro tmh amte asuirnse idn glem-alganyeetri c filmdsu teo t hlea rmgaeg netofisetlasdthsia,cap neid n terdfiascoaern dde r diffemraegnnte toesxtcaittsiapcte icotnr a. Iti sw eklnl owtnh attht ee mpomraagln etirzeavteiirogssno a vle rbnye d thseu mo fe xtefirenlcadol n tribaunttdhi eornflmsua clt uaItnai s oinmsp.l e approtahcrehe ,v emrasyba elv iewaesbd e icnogn netcott hecedh aracteris titci mnee edfeoedrn eregxyc habnegtew tehelena ttaintcdhe se p isny stem whidcehfi ntehssep irne laxatiTohnip srt oicimessesl .soc wo mpatrope rdo cesisnedse peonftd heenrtem ffaelc btesii,nn tg h rea nogfte e nosfn anosec ondfsos rm aplalr tiIcntl helesa .tc taestreh m,e a gneetxicci toactciouonrn s timesmcuaclsheh so rttheatrnh s ep irne laxatiaontndh meta igmnee,t ization vecstiomrp floyl ltohLweas n dau-Leiqfusahtiitozn . Understaanncddo inntgr ooflt lhmiean ggn etirzeavteiprorsnoa clae nsds ittsi mlei mwiitlsl ptraonvtiadnleei pwzo isnsgi bfioulrli ttrisaewfsia tscth ing deviFcoeirsn .s tainncc oen,v endtaitsoatn oarlda egveit cheresa ,pi indc rease ovetrhl ea dsetc aidnte ha er edaeln soifht ayrd di sdakt sat orsaygseth eamss resuilnatc eodm mensiunrcartieenta hsdeea traa ottfeh mea gnerteicco rding chanEnxetlr.a poflraortmei cotenrn etin dnds i sdkr ipveer forpmraendciec ts datraa taepsp roa1cG hHizan ngrd ead/swpreietodef1s G bitbsy/2 s0 03. Anotpheerrs peicnst tiovrdeia ntigast hper omtihsateth f eu tuorfc eo m putiwnigbl eld ominbaytt ehudes oefn on-vomlaagtnierltaein cda ocmc ess memo(rMyR AM)T.h icso nsoifsa rtrsa oyfis n divmiadgunaelmt eimco ry celilnws h itchhie n formiasst tiooranes td h mea gnetidziarteicootfni on tinfye rromagnetTihcew reilteimnegnf topstrr.h o eceselese sm eunsteass multipcluerxrepedun ltts eec hntiorq euvee sreslee mcatgende etliecm ents, antdh ree apdr ocreeslosin te usn nemlaignnge to-rAe kseifysa tcaftnoocrre . succeaspspfluilca antcdio onnti rtso hlse p eaetwd h itchhie n formcaatni on Preface VII bes toraenddr eatdh,um sa kitnhgue n derstoaftn hduein ndge rslpyiinn g configuarnaidtt idsoy nn amoincoesft hmeo satg greasrseioavfrse e search atp resent. Thibso oiksa imeadtp rovitdhibena gs kinco wlaenddgi en troducing inttohc eu rrsetnatot fte h aer itnt hivse rayc tainvdfe a msotv ianrge a. Thei deiast oc oveesrs entthiweah lolrlyae n ogfse p idny namfircomsmi l lisetcofo enmdt osteicmoensdSc taalreftsri.on amtg h eordeetsiccraiolpf t ion the magndeytniazmabitacissooen ndt hLea ndau-Lifscehqiutazt-iGoinl bert ofm otion,p rwohvitichdbheea ss ic atpoup nrdoearcsht tahn'edl iofnwrg e quendcyyn'a moiftc hsde o mawianml ol tion (fsrtotamhrk etH irzne gg i,m e) coherroetnatpt rioocne wsisbleelds i scuisnts heGedH zs piwna vaen fde r romagnreetsiocnr aengciNeme ewt. h eoarripeer se sented tdhfeees mcribing tosecroenlda xoafot pitoiencx acli tiantw ihoisnceshv etrhaelrr measle rvoirs are inSvpoelcveiemadpl.h aisspi lsa coendd i scussinegx pvearriimoeunsta l tecihqnufeosar c cesisnifnogr moantt ihsoewn i tcshpienaegnd dd amping mechansiuscamhsK, erirm agfionlrgo w-smpoeteiodof wn a lflesr,r omag netriecs on(aFnMcRae)n Bdr illloiugsihcnta ttfeomrrai gnnge etxicci tations int hGeH zr anIgnet.e grmaatginnegt o-Koepretrffi ececaltll ipstoemcehtry niquweists ht aotfte h aer stp atio-treemspoolirumatalig otinen cgh niques givaecsc etsots h uel tramfaagsnte tiaznaddt eimoang netdiyznaatmiiocns int hpei cosaencfdoe nmdt osteicmoensdrc easlpeesc,wt iitmvhie clryo,m eter spatrieaslo lution. Theb ooikss trucatsuf roeldl ows: Int hfier scto ntribJu.Mt iilotGna.,tA ,l buquearnqdAu .Te h iaville introtdhueecq eu atoifmo ang netidzyantaimosintc asr ftriontmgh bea sic equatoifqo unasn tmuemc haNnuimcesr.si icmaull aitnti hocena sso efs mall magneptliact ealrseeht osw ann dd iscuwsistsehpd e ceimaplh aosnti hse precesmsoitoifnooafnrla sswti tcchhianrga cteristics. Thdey namoifsc psii nnfs e rromasganmepatlnieddcse viicfseu sn damen taldliyv iidnettdow ro e gibmyte hsce o llemcotdieovsfie n finwiatvee length whisceht tshr ee sonfaonfrce er romargenseotni(acFn McReo) rB rillouin ligshcta tt(eBrLiSen)xg p eriTmheein nttsr.i nsic eigen-excitation spectrum ofam agnestyiscti etsmh s ep iwna vsep ectTrhuBemL .St echnhiaqdsue e veloipnetadon e xtrepmoewleyrt fouofllot rh ien vestoifgs aptiwinao vne s. Ina ddittoii othnsi gshe nsiitwtyhi,iv iccshh aractfeoarrs i tsatnidBcaL rSd systtehmte,e chnciaqbnue ee x tentdoae cdh iheivgsehp at(i3a0l-f.l 5ll0la )s, wellt eamsp o(r-1a2nl sr )e solution. Thes ecoanndtd h icrodn tribaurdteei voonttsoeb do tthh eex perimen taaln dt heoraestipceoacfllt a st ecroanlfi neemffeencottb ss erfvoserpd i n wavewsi,tw ha veleinntg ht0eh. s1 -10r0a ngweh,im cahi ndleyt ermine f.llil thdey namoifscm sam lalg neetliecm ewnhtiisci,shm porftoaarnp tp lications. Int hsee cocnodn tribDuetmiooknra,in tdHo ivl lebdreasncdsrspi ibne wavceo nfineemffeencatttm si crsoinzw eistl,ha tepraatltleysr tnreudc tures (regaurlraoarfym s a gnedtoitacsn wd ireTsh)ef.yo counts h qeu antization VIII Preface ofs piwna ve vweacvtedo urteso t hlea tebroauln daorfai d eoostr a w ire, antdh ien flueonftc hese t aatniddcy namciocu pbleitnwgte heeenl ements ont hdey nampirco peorftt hieeen st siyrset em. Int hteh icrodn triSbluatviDioennm,,o kraintHdoi vl lebrreavniadensw othcelra osfss p iwna vceo nfineemffeenctst psa:tt ieamlp,oa rnadsl p atia tempocroanlfi neomfle inntae nandro n-lsipniwenaa vrie nms a gnefteircr ite filmTsh.e ayn altyhzfeeo rmaptrioopn,a gaantdci oonl,lo ifse inovne lope soliatnodtn hse tiwro -dimeannsailosonoga-slc, a slpliwenad vb eu llIent s. addittoie oxnp erirmeesnuttlahtles o,r meotdiecolafnsl o n-lsipniwenaa vre s ardei scussed. Int hfeo urctohn triFbrueteiomanan,nHd i ebienrvte stthieegx apteer i menttaelc hnoifqu uletsr afast time-resolvAe hdi smagneto-optic imaging. toriocvaelr vibisr eiweg fliyvi enwn h,i ecahr sltireorb oasncodot phitecer c h niqutehsac te natreoru dnydn ammiacganle tibzeahtaivaoirnode ri ss cussed. Thee xperimteencthanilist q hueetn h orouegxhpllyow rietddhe scriptions anddi scuosfts hioeop nt iscoaulrt cheme,a gneetxicci ttahtdeie otne,c tion anmdi crosacnotdph oyev, e roaplelr aFtniiaol,nrl .ey presernetsauatlritevs e shotwhna dte monstthrteae tceh nsitqrueena gntidht f,su tpurroes paercet s discussed. Ini nvesttihgreae tvienprgrs oaclae nstdsh sep idny namoinchesa ,ts o distinbgeutwiteshehpen o ssriebvleemr escahla naisws emalsslb etwteheen timesocfia nlteesfr oterhs ter seev ersal Tphrmeoa cgensesteirsze.av teirosna l isc ontrboylt lhseead m pslter uc(gteuormee ctrryyss,tt arlu )ca tnutdr hee morphoilnocglyun,da innogs trauncedtx utrrei nsiIcnt hdfieef ftcehoc nttsr.i butiJoanc,q Fueerspr reo vaindo evse rvointe hwde y namoiffic esl d-induced magnetirzeavteiirnous nla tlr afitlhmaisnn md e somagrnaentgfsir,no tgmh e secotnotd h e nanoseconTdh ept riomceecssacsbnaee vls ee rscy.o mplex, anedff orttois n vestthisegw aittec mheicnhga niints hmifisnl muss itnhgi s extrecmheallyl enginagr deti escchunsisqeude. Int hsei xctohn triEbbuetBliusodn,Oa, u, n adajneWdl iag einn troduce thfee rromargenseotntiaecnc chen aisaq m ueet hcoodm plemteonB trairly louliings hcta ttteoir nivnegs,tt hisegm aatlel -amepxlciittsuapdteeic otnr um ofm agnemtaitce rWihaillmseo. si tn vestiagrcaeat rirooiunfetsod t r h heo mo genemoaugsn esttiawcti eth ho mogenienotuefisre nlatdlhs e,ry e viceowm paraatsipveeoc fst msa ll-amopslciitlulfdaoentr oi no-nhso mogmeangeous netizdaitsitorni baunitdli lounsstt,hr eiasndte ee t faoitrlh s eu b-micrometer scadloem asitnr ucotfCu o(OrOeO )tl hifinl mFse.r romargenseotniiacsan ce technwieqlsulue i ttoet dhs et uodfty h eex citaotfsi uocinhns h omogeneous strucstiunracev esa ,r iaotfti hopenu mpifineglo dr ientpaetrimsoientl se c tievxec itoafdt iiffoenfr uenndta mmeondteaasln, td h uisn formoantt hieo n properretliatetosre edg iaossn msa alsdl o mawianlc lasbn e o btained. Int hsee vecnotnht riJbouhtGnir oendg,eg s crtihfbere esq uency-domain pictoufmr aeg nestwiict cbheihnagbv yic oorn sidtehrreei aannlgid m aginary parotfts h mea gnestuiscc eipttTyih.bae ir ltidcelsec rtihgbeee nse prrailn ci- Preface IX ploefsi nstrumednetsaitfginofoerrnd e quencya-ndaolamynasediix nsp lains thbea soifts h aeu thoovre'rsw heplrmeifnefgro errne cseo snealnft- oscillating spectroomfte hRteoe rbsi ntsyopPner .a ctciocnafilg urwahtiiccoohnv tseh re entfirreeq ureanncfgyre o kmH zt oG Hza rdee scrTihbeeisdne.c lwuedlel tempecraevdsi pteyc troamnetdte ecrhsns ipqeuceisofi pctailmlfiyots rhe idn filmi nvestiDgeattaoiiftol hnsae. s soceilaetcetdar roaenl isdcoes s cribed, inclusdoimwnehg i ocphe raatlt oetw e mperaStoumrteer se.a timsae lnsto givteocn o ncewphtiscc ohn tsriogln al-stuoca-hsnt ohsieks eid ne patnhd thsea mpfillel fiancgt or. Int heei ghctohn tribZuhtainHogun,b, n Beera,u reapnadBi irgedo et scrtihbteeh eorperteidciaclat nitdo henexs p eriemveindteaonlfmc aeg ne tizadtyinoanm ointc hsfe e mtosteicmoensduc sailfneeg m tosecond optical pultseec hniTqhueessefi. n ndeiwon pgeasnn eawr eoafr esecaarlc'lhFe edm tomagneItfiti nsdimsto' sr. i gtihnfe a itcnht at ths ep idny namtiackpsel sa ce throaum gehc hantihsatmtr ansefffiecriset nhteeln ye rfgryot mh eel ectrons tot hsep ionnsa t imesfcoawrlh ei chl atthtteie cmep erhaatnsuo rytee t chansgiegdn ifi.c antly Finatlhlneyi nctohn triwbruittibtoyJen .Zn, h ua nYd. Z henpgr,e sents thfeu ndamental uonfmd iecrrsotmaabngednhieantgvii inmco e rs omagnets, witpha rtiecmuplhaaorsn ti hsme a gnestwiict cchhianrga ctoefvr airsitoiucss magnetordeesviidscetesi ivsgeun csah,sm agnertaincda ocmc meesmso ries (MRAM).A pplicoafmt iicorno matghneeottroity ch m eo deloifMn RgA M deviicisen st rodMuuccoehfdt .hw iosr hka bse einn spbiyrp eodt entteicahl nologdiecvaialcp ep licaanthdia obsne se,en x amiinnte hdce o ntoeffx ats t magnetizatioAn c opmrpoacrbeiesstsowentes he.men o delainndeg x peri mentsatlu diisge isvt eovn a litdhameto ed eltiencgh nique. Thibso ookn,oe f t hfier sotfi tksi nidnt hifise lidsi, n tentdope rdo vidaer icshp ectorfiu nmf ormfaotfriu onnd amaenndatp apll siceide ntists workiintn hgae r eoaff amsatg netizatiaonnwd i phlrolop ceefsuslelsy serve as textbfoogorrk a dusattued setnatrsit nti hnfiiges l Wde.a rger atteof ul a thEeu ropCeoamnm isfsoitroh nefi inra nscuipaplao nrwdti sthot haanlkl thaeu thfoortrsh ecioro perLaatsbituo ntno .lt e atshtee,d itwoorusll idk e tot haRnakd eLko pusfnodirok i mnogs otft htee chntiacslakilsek dei ting thceo ntribiunLt aiToeanXns pd r oofreaasdsiibnsygtU ,er ds uElbaea lnsd AdriPaonpaa . KaisersSltaruatsebronu,r g BurkaHridl lebrands Jul2y0 01 KameOlu nadjela Contents An IntroductitoonM icromagnetiicnst heD ynamicR egime JacqMuielst Gaotn,<; alo AlabnuAdqn uderTrehqi uaev,i lle 1 .......... .... 1.M acroDsypnianm ics . . . 2 .......................... ........... ... ....... 1.F1o.u ndaotfMi aognnse tiPzraetcieosns io.n ... . .2 ......... .. ..... . . . 12..L intkoC lassMieccahlaa nniEdcl se ctromagne.tis3m ....... ....... 1.I3n.t rodDuacmipnign g . . . . 5 ................ ....... ................. 2.V iewaiS nogfT th iFni lamsa M acros.p.in. 6 . .... ..................... 21.E.n erFguyn ctional. . ..... ..6 ................... . . . ....... . .. ..... . 2.A2s.y mptSootliucTrt ainosnv Seursscee ptiinabE ixlpietryi m7e nt ... 2.T3h.eD ynamAisctarlao nid"d N o-RinCgriintCgiu"cr avle. s 9 . ..... 24.M.a gnetiDzyantaimoWinitc hsia n LagrFaonrgmiaal.ni .s.m1. 2. .. 3.M agnetiSztaatatiteSo sun b miScirzo.en.s . ...........1.3. ............. 31..M aiCno ntribtuott hiEeon nesrD geyn sFiutnyc tional int hCeo ntinAupupmr oximat.i.on ..... . 13 ..... ........ . . ... ... . . 32..E nerMgiyn imiz.ation. .. . . .. . 16 .......... .. .... ... ......... .... . . 3.A3p.p lictaoRt eicotnasn Pglualtaewrli etath2 s1 :A speRcatt i.o1. 7 4M.a gnetiDzyantaimoiinntc hsCe o ntinuum Appro.xi1m9a tion ...... .... 41.T.h eL andau-LifsEhqiutazt-iGoinl bert ofM agnetiMzoattii.oonn .... . 19 ........ . . ....................... 42..A TransvSeursscee ptEixbpielriitmye nt int hCeo ntinAupupmr oximatio.n 20 ........... ................... 43..E nerDgiys sipVaetrisDouansm ping . 23 ................. .......... 44.R. eveorsfta hle S"tSa"At neE :x amp.le ... . . 24 ...... ....... ... ... 5.C onclusio.n. . . . . . . 25 ....... .. ...... .............. ...... ................ 6.S uggesftoFiruo rntsRh eeard i.n.g. ... . 28 . .. .......... .. ...... ......... 7.A ppen.di.x. . . .. 29 ... . ............................ ...... .. ............. References 31 .............................................................. NonlineaSrp inwaveisn O ne- andT wo-Dimensional MagnetiWca veguides AndrNe.Si l avSienr,0g .eD ie mokraintBdou vr,k Hairldl eb.ra..n3.d5s . .. 1I.n troducti.o.n. .. .. . . ... ..35 ........ .. ... ..... ..... . . ...... . ......... . . 2B. asiofcN so nliSnpeianrwP ahveen omienMn aag neFtiilc.m s 38 ........ XII Contents 3.T wo-DimeFnlismiason nQdau la si-One-DWiamveengsuiiodn4ea4sl ..... 4T.h Sep acaenT-di me-ReBsroillvlLeoidug ihnt -ScSaptetcetrrio4nm6ge ter 5.E xperimReenstu.all.t s. . . .. 48 .............. ......... ............. ..... 5.E1ff. eocftt h Aen tenAnpae rtu.r.e. ...... ........4.8. . ... . .... ... . . 5.S2p.a tSieallf -FoScpuastSiionalgli: .t o..n.s. .. ...50 .. . .... ....... . .. 53..S patiotSeemlpfo-rFaolSc puisniwBnaugvl:el . et.s.. ...5.1 ... . ... .. 54..C olliosfSi poinnswS aovlei toBnusl laentd.s . ... .5.4 ..... . ... ... ... 6.Nu merMiocdaell oifNno gn liSnpeianrwP arvoep agat.i.on 59 ..... ....... 7.C onclusions .. .. . . 62 ............................ .............. ....... ... References 62 .............................................................. Spinwaveisn L ateralCloyn finedM agneticS tructures Serg0.eD ye mokraintBdou vr kHairldl ebra.nd.s 65 . ..... ................. 1.I ntrodu.ct.ion. .. .. 65 .. ......... ......... ................... ........... 2.P reparoafPt aitotne MrangendeS ttircu ctur.es.. ... 66 ....... .. .. ....... 3.S pin-Wave oSfMp aegcnteWrtiurimeca s n Ddo t.s. . .6 8 . ........... .... 4.T heB rillLoiugSihcnta ttTeecrhinnigq. u.e. .. . .71 . . . ............... .. . . 5.A rraoyfWs ir es. ........ . ....... .7 4 . . .............. .. .................. 6.A rraoyfDs o ts . ... . . . 82 ........ ....... ... ... .... ....................... 7.C onclusions ... ... 89 ..................... . ................. ............. Referen.ces. ...... . ...... . .8.9 .... ...... .. . . .... ..... . .. .................. StroboscopMiicc roscopoyf M agnetiDcy namics MarRk.F reemaanWnda ynKe.H iebert . 93 . ........ ..................... 1.H istoOrviecravl.i .e.w.. ........................................9. .3. .. 2.E xperimDeenttaaill s . . . 95 ................ ................... ........... 2.P1u.l sOepdt iScoaulr. c..e. ..............................9...6.. . .. 22..Tr ansiMeangtn eEtxicci ta..t..i.o...n... ...................9..7.. 2.M3i.c rosacnoPdpo el ariIzmaatgiionn.g ... ... 99 .... .... ... . . ....... 2.S4y.s tOepme rati.o.n. ............ . ..101 .... .. .. .. . . . ..... ...... ... 2.N5e.wO pportuinnOi pttiieIcsma alg .i..n..g. ...........1..0..5. ... 3.D iscuosfRs eiporne seRnetsaut.li.tvs.e . .....................1..0..7. . . 31.R.e laxaRteisoonn,aa nncSdem ,aA lnlg Elxec it.at.i..o..n. .1.0.7. . 32..D ynamRiecv earnsLdaa lr ge-EAxncgiltea tion. ..113 ........... . . . 3.M3a.g neDteivciC chea ractearniNdzo antrieopneP triotcie.vs1es1 e7s 4.S ummaarnyPd r osp.e..c.ts. .............................1.1.9. ....... 41..S olIimdm erLseinoasnn Cdo nfoMciaclr osc.o.p.y 119 ... ... ....... 42..A lternTaitmiev-eR eMsaoglnveeMtdii ccr osc.opies.1 20 .. ......... Refer.e..nc.e.s. ..............................................1..2..1.. ...
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