Table Of ContentBurkHairldbl 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
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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.. ...
