IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO O?CEEE

Ia i?aaao ?oeiieno

AOAAE*OE NA?OEAIA AIAOIE??AIA

OAeE 535:530.182

NO?OEOO?A AeEIAI?*IEO I?IIONEATH*EO A?AOIE A

OIOI?AO?AEOEAIEO E?ENOAEAO C IAEIEAEUeIEI A?AeAOEII

Niaoe?aeuei?noue — 01.04.05 — iioeea, eaca?ia o?ceea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Ee?a-1998

Aeena?oaoe?y ? ?oeiienii

?iaioa aeeiiaia o a?aeae?e? eaaioiai? aeaeo?ii?ee, eaai?aoi??? iioeee
aaaaoioaeeueiaeo i?ioean?a ?inoeoooo o?ceee IAI Oe?a?ie

Iaoeiaee ea??aiee: aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Oeaeiye Aiaoie?e ?aaiiae/

canooiiee aee?aeoi?a ?inoeoooo i?eeeaaeii? iioeee
IAI Oe?a?ie

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Ai?u Aiaoie?e Ieaenaiae?iae/

i?ia?aeiee iaoeiaee ni?a?ia?oiee ?inoeoooo
o?ceee IAI Oe?a?ie

aeieoi? o?ceei-iaoaiaoe/ieo iaoe

Iaaeee Ai?en Aeieo?iae/

i?ia?aeiee iaoeiaee ni?a?ia?oiee ?inoeoooo
i?eeeaaeieo i?iaeai

o?ceee ? a?io?ceee IAI Oe?a?ie

I?ia?aeia i?aai?caoe?y: Iaoe?iiaeueiee oi?aa?neoao ?i. O.A.Oaa/aiea,
?aae?io?ce/iee

oaeoeueoao, i.Ee?a

Caoeno a?aeaoaeaoueny “_26_” __eenoiiaaea____ 1998 ?. i _14.30_ aiaeei?

ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.159.01 i?e ?inoeooo?
o?ceee IAI Oe?a?ie (252022, Ee?a, i?iniaeo Iaoee, 46)

C aeena?oaoe??th iiaeia iciaeiieoenue a iaoeia?e a?ae?ioaoe?

?inoeoooo o?ceee IAI Oe?a?ie.

Aaoi?aoa?ao ?ic?neaiee “_23_” ___aeiaoiy___ 1998 ?.

A/aiee nae?aoa? niaoe?ae?ciaaii? a/aii? ?aaee

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe
?uoe A.A.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie

Aeooaeueiei iai?yieii ?icaeoeo no/anii? iaoee ? oaoiieia?? ? oe?iea
aeei?enoaiiy, aeine?aeaeaiiy ? i?iaeooaaiiy iioe/ieo nenoai ia?iaee
?ioi?iaoe??. A ieo cae?enith?oueny iai?aaeaia ia?aoai?aiiy ia?aiao??a
iioe/ieo io/e?a ca aeiiiiiaith iaoiae?a iae?i?eii? iioeee, aeeiai?/ii?
aieia?ao??, o oiio /ene? ia oioi?ao?aeoeaieo e?enoaeao (O?E), ye?
aeae?eythoueny ye iniaenoee eean ?a?no?oth/eo ?aaa?neaieo iae?i?eieo
na?aaeiaeu.

Caien aeeiai?/ieo aieia?ai a O?E (? a ?ioeo na?aaeiaeuao) aaco?oueny ia
aaaaoioaeeueia?e aca?iiae?? eaca?ieo io/e?a, ye? ooai?ththoue a
iae?i?eiiio na?aaeiaeu? i?inoi?iai-iaiaeii??aeiee ?iciiae?e
?ioaineaiino? — ?ioa?oa?aioe?ei? ea?oeie, — ui i?ecaiaeeoue aei
iiaeoeyoe?? iieacieea caeiieaiiy ((n), ? oei naiei caaacia/othoueny
oiiae aeeo?aeoe?? oeeo aea naieo io/e?a ia noai?ai?e ieie a?aooe? (n.
sseui a?aoea iieacieea caeiieaiiy cnoiooa a?aeiinii na?oeiai? ea?oeie
?ioa?oa?aioe?? (iaeieaeueiee a?aeaoe), a?aeaoaa?oueny iai?i aia?a??th
i?ae io/eaie, ui aeeo?aaothoue [1*, 2*].

Oai?aoe/iee iien ? aenia?eiaioaeuei? aeine?aeaeaiiy aeaio-,
/ioe?e-io/eiai? aca?iiae?? eaca?ieo io/e?a ia i?iioneath/eo oa
a?aeaeaath/eo a?aoeao a O?E ?ioaineaii i?iaiaeyoueny inoaii? 25 ?ie?a.
Iino?eiei iai?yieii aeine?aeaeaiue ? iie?ioaiiy yeino? oioi?ao?aeoeaieo
e?enoae?a, ae?iuoaaiiy iiaeo O?E [3*,4*]. Cai?iiiiiaai? ? aea/athoueny
??ciiiai?oi? noaie canoinoaaiue aaaaoiio/eiai? aca?iiae?? a O?E [1*-4*].
Iaeiae, ia oeyoo oe?ieiai aeei?enoaiiy oeeo noai iinoa? ?yae iaae??oaieo
i?iaeai, na?aae yeeo iiaeii iacaaoe

— ?nioaaiiy aaaaoicia/ieo noaoe?iia?ieo noai?a i?e /ioe?eio/eia?e
aca?iiae?? a O?E c aaeeeei eiao?oe??ioii iae?i?eiiai a?aeaoeo, ui
ae?aaea?oueny a aaaaoicia/iino? aeo?aeieo oa?aeoa?enoee; a?aenooi?noue
?ic’yniaiiy i?e/ei ooai?aiiy oeeo noai?a;

— ianoaa?euei?noue aeo?aeieo ia?aiao??a io/e?a a noaiao c
/ioe?eio/eiaith aca?iiae??th a O?E;

— ia i?iaiaeeeanue iioei?caoe?y ? iai?aaeaia ea?oaaiiy aaee/eiith
aeeo?aeoe?eii? aoaeoeaiino? aeeiai?/ii? aieia?aie i?e ??ciiiai?oieo
canoinoaaiiyo.

Caaea/a aeeo?aeoe?? ia aeeiai?/i?e aieia?ai? a O?E ?
aaaaoiia?aiao?e/iith, ?? ?ica’ycie caeaaeeoue a?ae o?ce/ieo
oa?aeoa?enoee iae?i?eiiai na?aaeiaeua, aaiiao??? aenia?eiaioo, a oaeiae
a?ae ia?aiao??a ao?aeieo io/e?a (?o ?ioaineaiinoae ? oac). Oai?aoe/i? ?
aenia?eiaioaeuei? aeine?aeaeaiiy eoee a iniiaiiio o iai?yieo
ciaoiaeaeaiiy ca’yceo i?ae ao?aeieie oa aeo?aeieie ia?aiao?aie
aca?iiae?th/eo io/e?a, ia i?iaiaey/e aiae?ca no?oeoo?e caienaii?
aeeiai?/ii? aieia?aie.

Ii/eiath/e c 1995-1996 ??. a oai?aoe/iiio iien? c’yaey?oueny iiaee
i?aeo?ae, yeee iieyaa? o aea/aii? ? aeine?aeaeaii? no?oeoo?e
noai?thaaieo aeeiai?/ieo a?aoie. Oeae i?aeo?ae aeicaiey? c’?aeiaoe ?acii
an? ia?aiao?e aca?iiae?? a iaeio oa?aeoa?enoeeo — no?oeoo?o aeeiai?/ii?
a?aoee (?iciiae?e ?? aiie?ooaee ? oace). Oaeei /eiii, ??ciiiai?oi? noaie
? i?ioeane aeeiai?/ii? aieia?ao?? iiaeooue ?icaeyaeaoeny c ?aeeii? oi/ee
ci?o.

Oai?aoe/iiio aea/aiith no?oeoo?e aeeiai?/ieo a?aoie, ui oi?iothoueny i?e
aeaio-io/eia?e aca?iiae??, i?enay/aia ?iaioa [5*]. Aeey /ioe?eio/eiai?
aca?iiae?? (*IA), yea ioiieth? oe?iea eiei canoinoaaiue, oaeeo ?ia?o ia
aoei a?aeiii ia iiiaio ii/aoeo aeena?oaoe?eii? ?iaioe. Oiio aea/aiiy
no?oeoo?e ? aeanoeainoae aeeiai?/ieo a?aoie *IA a O?E oa oaeoi??a, ui ia
ieo aieeaatho, ? aeooaeueiith i?iaeaiith ye c ooiaeaiaioaeueii?, oae ? c
i?eeeaaeii? oi/ie ci?o.

Iaoa aeena?oaoe?eii? ?iaioe:

— io?eiaiiy oai?aoe/iiai iieno no?oeoo?e i?iioneath/eo aeeiai?/ieo
a?aoie, ye? oi?iothoueny i?e cono??/i?e /ioe?eio/eia?e aca?iiae?? (C*IA)
a oioi?ao?aeoeaiiio na?aaeiaeu? c iaeieaeueiei a?aeaoeii;

— aeine?aeaeaiiy, ye caeaaeeoue no?oeoo?a a?aoie, ui oi?iothoueny a
e?enoae?, a?ae ia?aiao??a aca?iiae?th/eo io/e?a — ni?aa?aeiioaiiy ?o
ii/aoeiaeo ?ioaineaiinoae ? oac;

— aecia/aiiy niinia?a ea?oaaiiy aoaeoeaiinoth C*IA a O?E oa ??
iioei?caoe?? i?e ??cieo i?aeoe/ieo canoinoaaiiyo (iioe/ia i?aeneeaiiy —
ia?aeeth/aiiy, iioe/i? eia?/i? i?eno?i?, io?eiaiiy io/e?a c iaa?iaiei
oaeeueiaei o?iioii (IOO) ? o.ae.);

— i?iaaaeaiiy ca aeiiiiiaith ?ic?iaeaiiai oai?aoe/iiai iieno ?ic?aooie?a
aaia?aoe?eieo oa?aeoa?enoee a?a?eaeiiai eaca?a c C*IA ia O?E ana?aaeei?
?aciiaoi?a.

Iaoeiaa iiaecia ?iaioe iieyaa? a oiio, ui a i?e aia?oa iieacaii:

1) I?iioneath/a aeeiai?/ia a?aoea a noaoe?iia?iiio noai? C*IA ia?
?iciiae?e ii aiie?ooae? a oiauei? O?E o aeaeyae? ia?ooiii?
eieieiiiae?aii? ooieoe?? naeiina a?ia?aie?/iiai. Aaee/eia eiinoaioe
ca’yceo O?E, ni?aa?aeiioaiiy ?ioaineaiinoae ? oac ao?aeieo oaeeue
aecia/athoue oi?io ?iciiae?eo noaoe?iia?ii? aiie?ooaee a?aoee — aaee/eio
?? iaeneioio, nooi?iue eieae?caoe??, i?noeaciaoiaeaeaiiy iaeneioio.
Aoaeoeai?noue C*IA caeaaeeoue a?ae oi?ie ?iciiae?eo aiie?ooaee a?aoee.

2) Noaoe?iia?i? ?ica’ycee C*IA io?eiothoueny ca aeiiiiiaith iiai?
oai?aoe/ii? iiaeae?, a iniia? yei? eaaeeoue oi?ioaaiiy aeainoi?iiiueiai
IOO-aeca?eaea. Oiaoi ?icaeyaea?oueny iane?i/aiia iae?i?eia na?aaeiaeua,
a a?aie/i? oiiae i?aenoaaeythoueny ia oyaieo a?aiyo, ye? ? a?aiyie
e?aeiai? aeeneieaoe?? ?ioa?oa?aioe?eiiai iiey.

3) A noaoe?iia?iiio noai? a O?E c aaeeeith eiinoaioith ca’yceo a?aoea
iiaea iaoe oaeo no?oeoo?o, yea ?nio? o?eueee i?e oiia? noai?aiiy
e?aeiaeo aeeneieaoe?e ?ioa?oa?aioe?eiiai na?oeiaiai iiey, ui oi?io? oeth
a?aoeo.

4) I?e caaeaiiiio aaiiao?e/iiio iieiaeaii? a?n? niiioaiii? iiey?ecaoe??
O?E a noai? C*IA iai?i aia?a??th i?ae aca?iiae?th/eie io/eaie iiaea
a?aeaoaaoeny ye o iai?yieo a?n? niiioaiii? iiey?ecaoe??, oae ? o
i?ioeeaaeiiio iai?yieo.

5) ?niothoue aeaa no?eeeo eeane noaoe?iia?ieo ?ica’yce?a i?e C*IA a O?E
ia iaeieaeueieo i?iioneath/eo a?aoeao. ?i a?aeiia?aeathoue ??ci?
no?oeoo?e a?aoie, ? aiie a?ae??ciythoueny ca aeeiai?/ieie i?ioeanaie
caieno a?aoee. Aeey ia?oiai eeano ?ica’yce?a caaaeaee caieno?oueny iiaa
a?aoea. Ae?oaee eean ?ica’yce?a iieno? a?aoeo, ui c’yaey?oueny ye
?acoeueoao ia?a?iciiae?eo aiie?ooaee aaea ?nioth/i? a O?E i?iioneath/i?
a?aoee, yeee a?aeaoaa?oueny i?e ci?ie ??cieoe? oac i?ae ao?aeieie
na?oeiaeie io/eaie.

6) Ia?ao?aeiee i?ioean caieno a?aoee a O?E c aaeeeith eiinoaioith
ca’yceo noi?iaiaeaeo?oueny noai?aiiyi e?aeiaeo aeeneieaoe?e ye aeey
a?aoee iieacieea caeiieaiiy, oae ? aeey na?oeiaiai iiey.

7) Iioe/ia ea?oaaiiy aoaeoeai?noth C*IA caiaeeoueny aei io?eiaiiy ??cieo
i?io?e?a ?iciiae?eo aiie?ooaee a?aoee, ui, cie?aia, ia? i?noea i?e ci?i?
ia?aiao??a ao?aeieo io/e?a.

I?aeoe/ia oe?ii?noue ?iaioe.

1) Iieacaii, ui iiaeia iioei?coaaoe cia/aiiy aeeo?aeoe?eii? aoaeoeaiino?
a?aoee a iioe/ieo noaiao c C*IA ia O?E oeyoii ea?oaaiiy nooiaiai
eieae?caoe?? a?aoee a caeaaeiino? a?ae ni?aa?aeiioaiiy ?ioaineaiinoae ?
oac ao?aeieo oaeeue ? eiinoaioith ca’yceo e?enoaeo.

2) Iiyniaii i?e/eie ? oiiae ?nioaaiiy a?noaa?eueieo noaoe?iia?ieo
noai?a, yeei a?aeiia?aeathoue ??ci? no?oeoo?e a?aoie.

3) Canoiniaaiee iai?yiie aeine?aeaeaiiy no?oeoo?e a?aoie iiaea
aeei?enoiaoaaoenue

ye oi?aa?naeueiee iaoiae ?icaeyaeo yaeu aeeo?aeoe?? ia aeeiai?/ieo
a?aoeao oa aeey

iiyniaiiy o?ce/ieo i?ioean?a, ui i?e oeueiio a?aeaoaathoueny.

Iniiai? iieiaeaiiy, ui aeiinyoueny ia caoeno.

1) Noaoe?iia?ia oaciaa ia’?iia i?iioneath/a a?aoea, yea caieno?oueny a
oioi?ao?aeoeaiiio e?enoae? (O?E) c iaeieaeueiei a?aeaoeii i?e cono??/i?e
/ioe?eio/eia?e aca?iiae??, ? i?inoi?iai eieae?ciaaiith, a iaeiath/a ??
aiie?ooaee iieno?oueny naeainii a?ia?aie?/iei. Aaee/eia ? i?inoi?iaa
iieiaeaiiy iaeneioio iaeiath/i? aiie?ooaee a?aoee oa ?? iai?aoe?eia
(nooi?iue eieae?caoe??) aecia/athoueny aaee/eiith eiinoaioe ca’yceo O?E,
ni?aa?aeiioaiiyi ?ioaineaiinoae oaeeue, ui iaaeathoue ia e?enoae, ?
ocaiaeaeaiiyi ?o oac ia aeaio aoiaeao a O?E.

2) A ?aaeei? aeainoi?iiiueiai iaa?oath/iai oaeeueiaee o?iio aeca?eaea
aeeiai?/ia i?iioneath/a a?aoea ia? iaeneiaeueio nooi?iue eieae?caoe??,
yea aecia/a?oueny o?eueee aaee/eiith eiinoaioe ca’yceo O?E. I?e iiaea/?
ia ao?aeio a?aiue O?E aeaio noiooi?o io/e?a iaeneioi aiie?ooaee a?aoee a
noaoe?iia?iiio noai? cnoaa?oueny a noi?iio oe??? a?ai?. Iaeneioi
aiie?ooaee a?aoee “a?aeooiaoo?oueny” a?ae ao?aeii? a?ai? O?E, ia ye?e
??cieoey oac i?ae noiooi?ie oaeeyie ia aei??aith? 0.

3) I?e cono??/i?e /ioe?eio/eia?e aca?iiae?? a O?E ?niothoue aeaa oeie
no?eeeo noaoe?iia?ieo noai?a i?inoi?iaiai ?iciiae?eaiiy na?oeiaiai iiey
? aeeiai?/ii? a?aoee. Ae?oaee oei a?ae??ciy?oueny a?ae ia?oiai
aeeiai?/iei i?ioeanii caieno a?aoee, ui caeeth/a?oueny a ia?a?iciiae?e?
aiie?ooaee noa?oiai? i?iioneath/i? a?aoee, c yei? iiaeiai ii/eiaoeny
caien; a?i iiaea aooe ?aae?ciaaiee o?eueee a O?E c eiinoaioith ca’yceo
a?eueoith i?ae 2.

Aianie aaoi?a a iioae?eiaai? i?aoe? iieyaa? a ianooiiiio:

— naiino?eiiio io?eiaii? oai?aoe/ieo oi?ioe ? ?ica’yce?a;

— naiino?eiiio noai?aii? i?ia?ai ? i?iaaaeaii? ?ic?aooie?a ia AII;
oi?ioaaii? iai?yie?a ?ic?aooie?a;

— aeoeai?e o/ano? o iinoaiiaoe? caaea/ ? noai?aii? oai?aoe/ieo iiaeaeae;

— aaciina?aaei?e o/ano? o iaienaii? noaoae, ui eyaee a iniiao
aeena?oaoe?eii? ?iaioe;

— i?aaenoaaeaii? ?acoeueoao?a ?iaioe ia iaoeiaeo eiioa?aioe?yo.

Aeinoia??i?noue ?acoeueoao?a oa aeniiae?a iaa?oioiao?oueny aeei?enoaiiyi
caaaeueiiaeciaiiai iaoiaea aeey io?eiaiiy aiae?oe/ieo ?ica’yce?a ?
??aiyiue, ui iienothoue no?oeoo?o a?aoee ? aeo?aei? oa?aeoa?enoeee C*IA;
ocaiaeaeaiiyi oeeo ?ica’yce?a ? ?acoeueoao?a c aeaieie ? ?ica’yceaie,
io?eiaieie ?ioeie aaoi?aie, ye aeey C*IA, oae ? aeey aeiaaeea
aeaio-io/eiai? aca?iiae??; i?iaaaeaiiyi ? c??aiyiiyi ?ic?aooie?a
aeueoa?iaoeaieie iaoiaeaie aiae?oe/iiai ? /enaeueiiai ?ica’ycaiiy
??aiyiue; ye?niei iiyniaiiyi ? ocaiaeaeaiiyi io?eiaieo oai?aoe/ieo
aeaieo c aenia?eiaioaeueieie ?acoeueoaoaie, c?iaeaieie ?ioeie aaoi?aie.

Ai?iaaoe?y ?iaioe.

Iaoa??aee aeena?oaoe?? aeiiia?aeaeeny ? iaaiai?thaaeeny ia oaeeo
eiioa?aioe?yo:

I?aeia?iaei?e eiioa?aioe?? ii eaca?ai ? aeaeo?iiioeoe? CLEO-Europe,
Aaiao?a, Aa?iai?y, 8-13 aa?aniy 1996 ?.;

I?aeia?iaei?e oaiaoe/i?e ia?aae? “Oioi?ao?aeoeai? iaoa??aee, aoaeoe oa
i?eeaaee” (PR’97), *?aa, ssiii?y, 11-13 /a?aiy 1997 ?.;

I?aeia?iaei?e eiioa?aioe?? “Iioe/ia aieia?ao?y oa ?? canoinoaaiiy”,
Ee?a, Oe?a?ia, 24-25 /a?aiy 1997 ?.;

I?aeia?iaei?e eiioa?aioe?? “Iae?i?eia iioeea a ??aeeeo ?
oioi?ao?aeoeaieo e?enoaeao”, Ia?oai?o, Oe?a?ia, 5-10 aeiaoiy 1997 ?.

Ioae?eaoe??. Ia oaio aeena?oaoe?eii? ?iaioe iioae?eiaaii 4 noaoo?, 2
oace aeiiia?aeae, ? 1 aeaiiiiaaiee ?oeiien.

No?oeoo?a aeena?oaoe??.

Aeena?oaoe?y neeaaea?oueny ?c anooio, i’yoe ?icae?e?a, aeniiae?a ?
nieneo oeeoiaaii? e?oa?aoo?e.

Ei?ioeee ci?no aeena?oaoe??.

O anooi? iaa?oioiaaii aeooaeuei?noue oaie, noi?ioeueiaaii iieiaeaiiy,
ui caoeuathoueny, a?aeia?aaeaii iiaecio ? i?aeoe/ia cia/aiiy ?iaioe.

?icae?e 1 ia? iaeyaeiaee oa?aeoa?, ui aaiaeeoue o noai i?iaeaie
aaaaoiio/eiai? aca?iiae?? o oioi?ao?aeoeaieo na?aaeiaeuao, a?aeia?aaeo?
no/ani? iai?yiee canoinoaaiue aeeiai?/ii? aieia?ao??, a oiio /ene? C*IA
a O?E.

Iaeiei ?c iaea?eueo iioe?aieo oioi?ao?aeoeaieo e?enoae?a ? o?oaiao
aa??th (BaTiO3), yeee iaeaaeeoue aei naaiaoiaeaeo?e/iiai eeano neiao???
4mm [2*] . A iueiio eaaei caieno?oueny iaeieaeueia a?aoea caaaeyee
aeeooc?eiiio iaoai?cio. Ae?iuothoue e?enoaee BaTiO3 , a yeeo eiinoaioa
ca’yceo ? aeineoue aaeeeith: ( l =10.

I?aeoe/ia canoinoaaiiy aeeiai?/ieo aieia?ai a O?E ?aea ii ne?aeoth/ei
iniiaiei iai?yieai [1*-4*]. Aeei?enoaiiy aoaeoo ia?aaea/e aia?a?? i?ae
io/eaie: a noaiao iioe/iiai ia?aeeth/aiiy, iioe/iiai i?aeneeaiiy,
iioe/ieo eia?/ieo i?eno?i?a, iioe/iiai o?aicenoi?a, iioe/ieo ia?aaeao,
iioe/ii? iai’yo?. Aeei?enoaiiy iaa?iaiiy oaeeueiaiai o?iioo i?e
/ioe?eio/eia?e aca?iiae??: a noaiao, aea cae?enith?oueny eiiiainaoe?y
niioai?aiue oaeeueiaiai o?iioo — a eaca?ieo nenoaiao, a ?ioa?oa?iiao???,
a noaiao oaciaiai eiaeoaaiiy, a noaiao aei??thaaiiy ? ei?aeoe??
oaeeueiaeo o?iio?a.

O ?icae?e? 2 oai?aoe/ii ?icaeyaea?oueny i?inoi?iaa no?oeoo?a
i?iioneath/eo iaeieaeueieo aeeiai?/ieo a?aoie, ui oi?iothoueny i?e C*IA
a O?E i?e oiia? iaoooaaiiy iiaeeiaiiyi.

Noaia C*IA cia?aaeaia ia ?en.1. A i?e o?aaeeoe?eii aaaaea?oueny, ui
oaeey 4 a?aenooiy ia nai?io aoiae?, aiia ia?iaeaeo?oueny a O?E a
?acoeueoao? aeeo?aeoe?? ia aeeiai?/i?e a?aooe? ? ia aeoiae? c e?enoaeo
ia? iaa?iaiee oaeeueiaee o?iio ii a?aeiioaiith aei ao?aeii? oaee? 3.
Iiey?ia a?nue O?E (a?nue niiioaiii? iiey?ecaoe??) C ia ?en.1 iai?aaeaia
aiec, oiio oaee? 3 ? 2, ye? iathoue iai?yiie ?iciianthaeaeaiiy i?ioe
iiey?ii? a?n?, i?e aeeo?aeoe?? a?aeaeathoue naith aia?a?th
(iineaaeththoueny), a?aeiia?aeii, oaeeyi 1 ? 4, ye? iineeththoueny, ?
iathoue iai?yiie ?iciianthaeaeaiiy acaeiaae iiey?ii? a?n? O?E [1*-3*].

Oai?aoe/iee aiae?c i?iaiaeeoueny ia aac? nenoaie ??aiyoue ca’ycaieo
oaeeue, a ye?e a?aoiao?oueny, ui ??cieoey oac i?ae noiooi?ie
aca?iiae?th/eie oaeeyie iiaea aei??aithaaoe ye 0, oae ? (.

I?iioneath/a aeeiai?/ia a?aoea a noaoe?iia?iiio noai? iieno?oueny
ianooiiei ae?acii:

(1)

?en.1. Noaia C*IA a O?E c iaeieaeueiei a?aeaoeii. (n — “oo?eoe”
i?iioneath/i? aeeiai?/ii? a?aoee. E?eaa 1 iieaco? ?iciiae?e aiie?ooaee
a?aoee a O?E c aaeeeei cia/aiiyi (l.

— eiiieaenia aie?ooaea n-oi? oaee?, ii?iiaaia ia noia?io
?ioaineai?noue oaeeue, An, (n, a?aeiia?aeii, ?? aiie?ooaea ? oaca; ( —
eiao?oe??io iae?i?eiiai a?aeaoeo na?aaeiaeua. I?aaa /anoeia (1) iieno?
ci?iio neeaaeiao ?ioa?oa?aioe?eiiai iiey, yea oi?io?oueny /ioe?ia
aca?iiae?th/eie oaeeyie.

Neeaaeiaa (/2 iieaco?, ui a?aoea ae?aeaeo?e/ii? i?iieeeeaino? cnoiooa ii
oac? ia /aa?oue ia??iaea a?aeiinii ea?oeie ?ioa?oa?aioe?? na?oea. I?e
((=0 (/enoi iaeieaeueiee a?aeaoe) ??cieoey oac i?ae noiooi?ie
aca?iiae?th/eie oaeeyie ((1-(3), ((4-(2) noaiiaeoue 0 aai (.

Aeey aeeiai?/ii? a?aoee (1) noaoe?iia?iee ?ica’ycie ie io?eiaee o
aeaeyae? [3-5]:

(2)

aea N ? p — eiinoaioe, ye? ciaoiaeyoueny oeyoii i?aenoaiiaee a?aie/ieo
oiia ? aecia/athoueny ?ioaineaiinoyie ? oacaie ao?aeieo oaeeue; z —
eii?aeeiaoa oiaueie O?E acaeiaae iai?yieo a?naeo?ene eooa noiaeaeaiiy
aca?iiae?th/eo oaeeue. A?aoea (2) ia? ?iciiae?e ii oiauei? O?E o
aeaeyae? eieieieo c iaeneioiii N, i?noeaciaoiaeaeaiiyi iaeneioio
z0=-p/2(C ? iai?aoe?eiith, yea caeaaeeoue a?ae eiinoaioe N oa aaee/eie
(.

, a Jn(z) — ?ioaineaiinoue n-i? oaee? a ia?aoei? z O?E.

Iaei?ino?oee ?ica’ycie aeey ciaoiaeaeaiiy cia/aiue eiinoaio N ? ?
io?eio?oueny o aeiaaeeo, eiee ?aae?co?oueny ?aaeei aeainoi?iiiueiai IOO
aeca?eaea (AeIOOAe) [1*]. Oiae? ia ao?aeieo a?aiyo e?enoaeo caaeai?
o?eueee aea? oaee?, 3 ? 2, a oaee? 1 ? 4 ia?iaeaeothoueny a e?enoae? a
?acoeueoao? aeeo?aeoe??. Aeey aecia/aiiy eiinoaioe N ie io?eiaee
ianooiia iae?i?eia ??aiyiiy [3, 4]:

(3)

aea x=exp(2(lC). I?ney ciaoiaeaeaiiy x c (3), aoaeoeai?noue aeeo?aeoe??
( oa ?ioaineaiino? aeo?aeieo oaeeue io?eiothoueny ca oi?ioeaie:

(4)

aea J32=J3(0)/J2(l) — a?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue.

Iaie iieacaii, ui a?aoea a ?aaeei? AeIOOAe ia? iaeneiaeueiee nooi?iue
eieae?caoe??, ? a?i aecia/a?oueny o?eueee eiinoaioith ca’yceo (l. O
aeiaaeeo ??aieo ?ioaineaiinoae oaeeue iaea/ee (J32=1) iaeneioi
aiie?ooaee a?aoee ?icoaoiao?oueny iina?aaeei? e?enoaeo. I?e ci?i?
ni?aa?aeiioaiiy J32 nooi?iue eieae?caoe?? noaoe?iia?ii? a?aoee ia
ci?ith?oueny, a ?? iaeneioi ia?ai?uo?oueny a noi?iio o??? a?ai?, ia yeo
iiaea?oueny ao?aeia oaeey iaioi? ?ioaineaiino? (?en.2) [3, 4].

?en.2. Ci?ia ?iciiae?eo aiie?ooaee a?aoee a caeaaeiino? a?ae
ni?aa?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue J3/J2 (iicia/aii
oeeo?aie) o aeiaaeeo AeIOOAe. (l =10.

?en.3. Noaoe?iia?i? ?iciiae?ee aiie?ooaee a?aoee i?e C*IA. 1 — 1-ee
eean,

2 (no?eeee noai) ? 3 (iano?eeee noai) —

2-ee eean ?ica’yce?a.

J1(0)=0,1; J3(0)=0,4; J2(l)=0,5; (l=10.

O?aaeeoe?eii C*IA a?aeaoaa?oueny, eiee ia ao?ae O?E iiaeathoueny o?e
io/ee (?en.1). Iaie iieacaii, ui ?iciiae?e aiie?ooaee a?aoee
ci?ith?oueny ii??aiyii c aeiaaeeii AeIOOAe [3, 4]. I?e iiaea/? io/ea 1
?acii c io/eaie 2 ? 3 iaeneioi aiie?ooaee a?aoee ci?uo?oueny aei a?ai?
z=0, ia yeo iiaea?oueny aeiaeaoeiaee io/ie (?en.3, e?eaa1). A?aenoaiue
ia?ai?uaiiy oei a?eueoa, /ei aeua ?ioaineai?noue io/ea 1 — J1(0). Aeey
J1(0)>>J3(0), J2(l) iaeneioi aiie?ooaee a?aoee ?icoaoiao?oueny ca
iaaeaie e?enoaeo.

Iieacaii, ui eiee aeaa noiooi?o io/ee iiaeathoueny ia iaeio ao?aeio
a?aiue, noaoe?iia?iee ?iciiae?e aiie?ooaee a?aoee caeaaeaoeia a?ae
ao?aeii? ??cieoe? oac i?ae oeeie aeaiia io/eaie. Ia ?en.3 e?eaeie 2 ? 3
cia?aaeo?oueny ?iciiae?e aiie?ooaee a?aoee o aeiaaeeo (1-(3=( ia aoiae?
O?E. Iaeneioi aiie?ooaee a?aoee “a?aeooiaoo?oueny” a?ae a?ai?, ia yeo
iiaea?oueny aeiaeaoeiaee io/ie 1. Aiae?oe/ia ??oaiiy caaea/? C*IA aea?
aeaa ?ica’ycee: iaeei — no?eeee (e?eaa 2), ? ae?oaee — iano?eeee (e?eaa
3).

Oaeei /eiii, a caeaaeiino? a?ae ??cieoe? oac i?ae aeaiia ao?aeieie
noiooi?ie oaeeyie oi?iothoueny no?ee? noaoe?iia?i? a?aoee c ??cieie
?iciiae?eaie aiie?ooaee. Ciaeaeaii, ui aeey oeeo a?aoie a?ae??ciy?oueny
oaeiae ?iciiae?e na?oeiaiai iiey o noaoe?iia?iiio noai? (aeea. ?en.
4) [3, 4]. O ?ac? (1-(3=0 (?en.4a; ?en.3 e?eaa 1) ?cioaci?
iiaa?oi? aeeiai?/ii? a?aoee cnoioo? a?aeiinii iaeneioi?a

?en.4. I?inoi?iaa ?icoaooaaiiy “oo?eo?a” aeeiai?/ii? a?aoee (oiie?
e?i??) ? iaeneioi?a ?ioa?oa?aioe?eii? ea?oeie oaeeue 1,3 (oiano? e?i??)
? 2,4 (ioieoe?i? e?i??) o aeiaaeeo 1-ai eeano (a) ? 2-ai eeano (a)
?ica’yce?a.

a)
a)

?ioa?oa?aioe?eieo nioa na?oeiaiai iiey o iai?yieo iiey?ii? a?n? O?E. Ie
iacaaee ?ica’ycee, ui a?aeiia?aeathoue ca oeae noaoe?iia?iee noai,
?ica’yceaie 1-ai eeano.

O ?ac? (1-(3=( (?en.4a; ?en.3 e?eaa 2) anoaiiaeth?oueny oaeee
noaoe?iia?iee noai, i?e yeiio ?ioa?oa?aioe?ei? iaeneioie na?oeiai?
ea?oeie noiooi?o oaeeue 1 ? 3 cnoioo? a?aeiinii ?cioacieo iiaa?oiiue
aeeiai?/ii? a?aoee o iai?yieo i?ioe iiey?ii? a?n? O?E; a?aeaoaa?oueny
cai?ioiy ia?aaea/a aia?a?? i?ae io/eaie 1 ? 3 — iineeth?oueny io/ie 3, a
?ioaineai?noue io/ea 1 ciaioo?oueny; a oi/oe? z=zd ana?aaeei? O?E
?ioaineai?noue io/ea 1 noa? ??aiith ioeth; ia?aeaeueii iiey?ii? a?n? O?E
ooai?th?oueny a?aiue iioe/ii? e?aeiai? aeeneieaoe?? ?ioa?oa?aioe?eii?
ea?oeie aeey noiooi?o oaeeue 1 ? 3, yea i?ioiaeeoue /a?ac oi/eo zd , ?
oaca (1-(3 ci?ith?oueny ia ( ana?aaeei? e?enoaeo. Ia a?ai? zd ia?ii
J1(zd)=0, ? ia a?ai? e?enoaea l — J4(l)=0, oaeei /eiii, ana?aaeei? O?E
ooai?th?oueny AeIOOAe aeiaaeeiith laec=l-zd. ?ica’ycee, ui
a?aeiia?aeathoue oeueiio noaoe?iia?iiio noaio, ie iacaaee ?ica’yceaie
2-ai eeano.

Caaacia/aiiy ?aaeeio AeIOOAe ana?aaeei? O?E, ui ? ii?iaiaei
((laec>2 [1*]), iaeeaaea? iaiaaeaiiy ia aaee/eio ( cieco aeey caaeaiiiai
ni?aa?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue. 2-e eean ?ica’yce?a
iiaea ?aae?coaaoeny o?eueee a O?E c eiinoaioith ca’yceo (l>2.

Aeey iiaoaeiae aiae?oe/ieo ?ica’yce?a o?aaeeoe?eiiai C*IA iaie noai?aia
iiaeaeue oi?ioaaiiy AeIOOAe ana?aaeei? oioi?ao?aeoeaiiai na?aaeiaeua [3,
4]: ine?eueee noia?ia ?ioaineai?noue noiooi?o oaeeue caa??aa?oueny i?e
?o ?iciianthaeaeaii? /a?ac na?aaeiaeua (ui aeo?ea? ?c nenoaie ??aiyiue
ca’ycaieo oaeeue), caaaeaee iiaeia ciaeoe oae? a?ai?, ia yeeo
?ioaineai?noue iaei??? ?c oaeeue aoaea aei??aithaaoe ioeth. I?ae oeeie
a?aiyie oi?io?oueny AeIOOAe, yeui ia ieo J1=0 ? J4=0. Iiaeia aeei?enoaoe
??aiyiiy (3), a yeiio cai?noue x, ui caeaaeeoue a?ae l, aoaeooue
aoiaeeoe a?aenoai? l1, l2 aei oyaieo a?aiae AeIOOAe. Oiae? caaea/a C*IA
caiaeeoueny aei ciaoiaeaeaiiy cia/aiue l1 ? l2.

I?e o?aaeeoe?eiiio C*IA l2 ni?aiaaea? c ao?aeiith a?aiith O?E — l2=l, ia
ye?e J4=0. Aeey 1-ai eeano ?ica’yce?a l1 ciaoiaeeoueny ca iaaeaie O?E a
?aeii? iaaaoeaieo z (l1<0). Aeey 2-ai eeano ?ica’yce?a ?aaeueia a?aiue iioe/ii? aeeneieaoe?? oi?io?oueny ana?aaeei? O?E (l1=zd). ?icae?e 3 i?enay/aiee ?icaeyaeo aeeiai?/ii? caaea/? C*IA. Aeeiai?/iee i?ioean aca?iiae?? oaeeue iieno?oueny nenoaiith eiiieaenieo aeeoa?aioe?eieo ??aiyiue a /anoeiieo iio?aeieo. Oey nenoaia neeaaea?oueny c /ioe?ueio ??aiyiue, ui a?aeia?aaeothoue ci?io eiiieaenieo aiie?ooae aca?iiae?th/eo oaeeue i?e ?o ?iciianthaeaeaii? /a?ac e?enoae, ? ??aiiyiiy, yea iieno? e?iaoeeo caieno aeeiai?/ii? a?aoee. Inoaii? ??aiyiiy a?aoiao?, ui eiiieaenia aiie?ooaea a?aoee ci?ith?oueny c /anii ca ?aooiie aeaio i?ioean?a: ca?eueoaiiy aiie?ooaee a?aoee ((() aiane?aeie aeaeo?iiioe/iiai aoaeoo, oiaoi (( a oi/oe? z i?iii?oe?eia ?ioaineaiino? na?oeiaiai iiey a oe?e oi/oe?. Ae?oaee i?ioean noaiiaeoue ?aeaenaoe?y a?aoee, /an ?aeaenaoe?? aaaaea?oueny cia/ii a?eueoee ca /an i?ioiaeaeaiiy na?oea /a?ac e?enoae. Oey nenoaia ca cae/ae caieno?oueny oa ?ica’yco?oueny i?e iaaeeaeaii? ieineeo oaeeue ? iaooo?oueny iiaeeiaiiyi a na?aaeiaeu?; oaeiae aaaaea?oueny, ui aca?iiae?th/? oaee? iathoue iaeio ? oo ae naio /anoioo (. O aeiaaeeo ni?aiaaeath/eo ?ioa?oa?aioe?eieo ea?oei, ui noai?ththoueny aeaiia ia?aie noiooi?o oaeeue (1,3 oa 2,4), ??cieoey oac i?ae oeeie oaeeyie noaiiaeoue 0 aai (, nenoaia aeeiai?/ieo ??aiyiue noa? ae?eniith ? caiaeeoueny aei iaeiiai aeeoa?aioe?eiiai ??aiyiiy ae?oaiai ii?yaeeo, yea ia? aeaeyae iiaeeo?eiaaiiai ??aiyiiy sin-Ai?aeiia [5*, 2, 4]: (5) aea v=2u+(, u - ieiua i?ae e?eaith ?iciiae?eaiiy aiie?ooaee a?aoee a a?aieoeyo e?enoaeo, ( - /an, a eiao?oe??ioe R i ( ae?aaeathoueny /a?ac ao?aei? ?ioaineaiino? aca?iiae?th/eo oaeeue oa ?oi? ii/aoeia? ??cieoe? oac. O ?iaio? i?iaaaeai? ?ic?aooiee, ye? a?aeia?aaeothoue i?inoi?iai-/aniao iiaaae?ieo aiie?ooaee a?aoee. Iieacaii, ui i?e C*IA a O?E c /anii a?aoea aeoiaeeoue ia noaoe?iia?iee noai, a yeiio ia ci?ith? naiai ?iciiae?eo. Iaie iieacaii, ui aeey iaeiiai ? oiai ae ni?aa?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue iiaeii io?eiaoe aea? ??ci? noaoe?iia?i? a?aoee, ye? a?ae??ciythoueny ca ?iciiae?eii aiie?ooaee, a caeaaeiino? a?ae ii/aoeiaeo oiia caieno [2, 4]. Aeey oiai, uia io?eiaoe oe? a?aoee, iaiao?aeii a e?enoae? caienaoe yeonue ii/aoeiao i?iioneath/o a?aoeo, a iio?i ci?ithaaoe ??cieoeth oac i?ae noiooi?ie oaeeyie ia aoiae? ia (, ia ii?oooth/e i?e oeueiio a?aa?anuee? oiiae caieno. Oiae? a?aeaoaa?oueny ia?a?iciiae?e aiie?ooaee a?aoee, a iieiaeaiiy “oo?eo?a” a?aoee (?? ?cioacieo iiaa?oiiue) ia ci?ith?oueny. Oe? aea? a?aoee ?aae?cothoueny o?eueee aeey oeo ni?aa?aeiioaiue ?ioaineaiinoae oaeeue, ye? caaeia?eueiythoue oiia? ?nioaaiiy 2-ai eeano noaoe?iia?ieo ?ica’yce?a (aeea. ?icae?e 2). Noaoe?iia?i? a?aoee, ye? a?aeiia?aeathoue ?ica’yceai 1-ai eeano, caienothoueny a e?enoae? aeey aoaeue-yeeo ao?aeieo ni?aa?aeiioaiue oaeeue ? aeey aeia?eueieo ii/aoeiaeo oiia caieno. Iaie iieacaii, ui a O?E c aaeeeei eiao?oe??ioii i?aeneeaiiy iae?i?eiiai na?aaeiaeua aeeiai?/iee i?ioean caieno a?aoee noi?iaiaeaeo?oueny noai?aiiyi iiia?a/ieo aei a?n? z a?aiae e?aeiaeo aeeneieaoe?e a?aoee ? e?aeiaeo aeeneieaoe?e na?oeiaiai iiey, a oaeiae iaeanoae “i?yii?” ? “cai?ioiuei?” ia?aaea/e aia?a?? i?ae oaeeyie ana?aaeei? e?enoaeo. A noaoe?iia?iiio noai? a?aoea ia ia? e?aeiaeo aeeneieaoe?e. O ?icae?e? 4 i?aenoiiaothoueny iniiai? caeiiii??iino?, a?ae yeeo caeaaeeoue oi?ia ?iciiae?eo aiie?ooaee a?aoee oa ?? i?noeaciaoiaeaeaiiy a e?enoae?. Aeey oeueiai ?icaeyaea?oueny noaoe?iia?ia caaea/a C*IA a O?E c /ioe?ia ao?aeieie io/eaie iaea/ee c o?aooaaiiyi ?o oac. O aeiaaeeo eiiieaenii? noaoe?iia?ii? caaea/? C*IA iaie io?eiai? caaaeuei? ?ica’ycee aeey ?ioaineaiinoae ? oac aca?iiae?th/eo oaeeue oa aiie?ooaee ? oace a?aoee. Ia a?aei?io a?ae ?ica’yce?a, iioae?eiaaieo a ?ioeo ?iaioao [1*-6*], io?eiai? iaie ?ica’ycee ae?aaeathoueny /a?ac aaee/eio u(z), yea aei??aith? ieiu? i?ae e?eaith i?io?ey ?iciiae?eo aiie?ooaee aeeiai?/ii? a?aoee ia a?ae??ceo [0,z]. ?ioaineaiino? oaeeue i?iii?oe?ei? sin(2u(z)), a ??cieoe? oac i?ae noiooi?ie oaeeyie - cos(2u(z)) - oaeei /eiii ae?aaea?oueny ?o ci?ia a ia’?i? e?enoaeo acaeiaae iai?yieo ?iciianthaeaeaiiy io/e?a. sseui ??cieoey oac i?ae noiooi?ie oaeeyie aei??aith? 0 aai (, oea caaeiaieueiy? oiia? ?nioaaiiy a?aiae na?oeiai? e?aeiai? aeeneieaoe?? aeey noiooi?o oaeeue, oiaoi a?aiae, ia yeeo ?ioaineai?noue iaei??? c oaeeue iaa?oa?oueny a ioeue. I?e ?icaeyae? iane?i/aiiiai iae?i?eiiai na?aaeiaeua iieiaeaiiy oaeeo a?aiae iiaea aooe caaaeaee ciaeaeaii. I?aenoaiiaea a?aie/ieo oiia ia oeeo oyaieo a?aiyo cia/ii ni?iuo? noaoe?iia?io caaea/o C*IA ? caiaeeoue ?? aei caaea/? AeIOOAe, ye iieacaii iaie a [3, 4]. A O?E c neeueiei a?aeaoeii ? /ioe?ia ao?aeieie io/eaie a?ai? e?aeiai? na?oeiai? aeeneieaoe?? iiaeooue ciaoiaeeoenue ana?aaeei? e?enoaea. ?en.5. I?io?e? aiie?ooaee a?aoee a caeaaeiino? a?ae ni?aa?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue. Oeeo?aie iicia/aii cia/aiiy lg(J4(l)/J2(l)); (l=10; (1(0)-(3(0)=(4(l)-(1(l)=0; a) J13(0)=J42(l) ; a,a) lg(J13(0))=0. Nooi?iue eieae?caoe?? (iai?aoe?eia) i?io?ey aiie?ooaee a?aoee aecia/a?oueny aaee/eiith eiinoaioe ca’yceo O?E (l oa ni?aa?aeiioaiiyi ?ioaineaiinoae oaeeue, ui ?iciianthaeaeothoueny acaeiaae iai?yieo iiey?ii? a?n? O?E ? i?ioe ia? - J13=J1(0)/J3(0); J42=J4(l)/J2(l) (aeea. ?en.1). sseui J1(0)=J4(l)=0, aiie?ooaea a?aoee aoaea iaoe iaeneiaeueio nooi?iue eieae?caoe??, yea caeaaeeoue o?eueee a?ae aaee/eie (l. I?e ca?eueoaii? ?ioaineaiinoae oaeeue 1 ? 4 - J1(0), J4(l) - ii??aiyii c ?ioaineaiinoyie J3(0), J2(l), iai?aoe?eia i?io?ey aiie?ooaee a?aoee ca?eueoo?oueny, a ?? iaeneiaeueia cia/aiiy iaaea?. Oaeei /eiii ciaioo?oueny aoaeoeai?noue C*IA, yea aecia/a?oueny ieiuath i?ae e?eaith ?iciiae?eo aiie?ooaee a?aoee a a?aieoeyo O?E (?en.5). I?noeaciaoiaeaeaiiy iaeneioio aiie?ooaee a?aoee caeaaeeoue a?ae ni?aa?aeiioaiiy ?ioaineaiinoae ao?aeieo oaeeue ? ao?aeieo ??cieoeue oac i?ae noiooi?ie oaeeyie. Iaeneioi aiie?ooaee a?aoee cnoaa?oueny a noi?iio o??? a?ai? O?E (? iiaea aeoiaeeoe ca ?? iaae?), aea ?ioaineai?noue oaee?, ui ?iciianthaeaeo?oueny acaeiaae iiey?ii? a?n? (1 aai 4), a?eueoa, a a?aeiia?aeia ?ioaineai?noue oaee?, ui ?iciianthaeaeo?oueny i?ioe iiey?ii? a?n? (3 aai 2), iaioa. Iaeneioi aiie?ooaee a?aoee “a?aeooiaoo?oueny” a?ae o??? a?ai? O?E, ia ye?e ao?aeia ??cieoey oac i?ae oaeeyie ia aei??aith? ioeth. . Ie io?eiaee, ui aeo?aei? oa?aeoa?enoeee C*IA (aoaeoeai?oue, ?ioaineaiino? aeo?aeieo oaeeue, eiao?oe??io a?aeaeaaiiy IOO-aeca?eaea Rpc=J3(0)/J4(0)) ?ic??ciththoueny aeey 1-ai oa 2-ai eean?a ?ica’yce?a. ?ica’ycee 2-ai eeano a?aeia?aaeothoueny o aeaeyae? iaoeaiiae?aieo e?eaeo, iaeia a?eea iaoe? a?aeiia?aea? no?eeei ?ica’yceai, ae?oaa - iano?eeei. An? ?ica’ycee 2-ai eeano aeey eiaeiiai ni?aa?aeiioaiiy ao?aeieo ?ioaineaiinoae oaeeue iathoue ii?iaiaa cia/aiiy eiinoaioe ca’yceo (l, i?e ieae/eo (l aiie ?aae?coaaoeny ia iiaeooue. Io?eiai? ?ic?aooiee aeeiai?/ii? caaea/? C*IA iieacothoue, ui i?e eiaei?e ci?i? ni?aa?aeiioaiiy ao?aeieo ?ioaineaiinoae ? oac oaeeue ci?ith?oueny no?oeoo?a aeeiai?/ii? a?aoee. Oiio aeey caaacia/aiiy noaa?eueieo aeo?aeieo ia?aiao??a C*IA o?aaa noaa?e?coaaoe ?ioaineaiino? ? oace oaeeue ia aoiae? a O?E, ui aoei aeiaaaeaii a aenia?eiaio? [7*]. ?icae?e 5 i?enay/aiee canoinoaaiith ?ic?iaeaii? o ?iaio? oai??? aeey iioei?caoe?? aaia?aoe?eieo oa?aeoa?enoee a?a?eaeiiai eaca?a c IOO-aeca?eaeii, a yeiio aeei?enoiao?oueny C*IA ia O?E. Noaia a?a?eaeiiai eaca?a (?en.6) neeaaea?oueny c O?E, a c? noi??i ao?aeieo oaeeue 2 ? 3 (iea/? ( ? (() ?icoaoiaai? aeoeai? na?aaeiaeua (AN) eaca??a (iai?eeeaae, eaaio?iie c AEA:Nd3+) c eiao?oe??ioii i?aeneeaiiy G=L(g0, aea L - aeiaaeeia AN, g0 - iaiane/aiee eiao?oe??io i?aeneeaiiy AN. Oe? iea/? caieeathoueny aeca?eaeaie - a iea/? iaea/ee ( c? noi?iie oaee? 1 c eiao?oe??ioii a?aeaeaaiiy R; ? iai?ai?ici?ei aeo?aeiei aeca?eaeii c? noi?iie iea/a (( c eiao?oe??ioii a?aeaeaaiiy (. Ooai?th?oueny ca’ycaiee /a?ac O?E eaca?iee ?aciiaoi?-?ioa?oa?iiao? Iaeeaeueniia c aeaiia aeoeaieie na?aaeiaeuaie. R1 aeae?a?oueny ??aiei 100%. ?en.6. Noaia a?a?eaeiiai eaca?a ia O?E. A iea/? (( aeo?aeia oaeey 4, yea ia?iaeaeo?oueny i?e C*IA a O?E, ia? iaa?iaiee oaeeueiaee o?iio ii a?aeiioaiith aei oaee? 3. Oaeei /eiii eiiiainothoueny oacia? niioai?aiiy oaeeueiaiai o?iioo, ui iaaiaeyoueny a aeoeaiiio na?aaeiaeu? iea/a ((, ? aeinyaa?oueny iie?auaiiy yeino? aeo?aeiiai io/ea 4 oa ciaioaiiy eiai ?ica?aeiino?. Iaie ?ic?aoiaai? ii?iaia? oiiae ? oa?aeoa?enoeee noaoe?iia?ii? aaia?aoe?? a eaca?iiio ?aciiaoi?? c o?aooaaiiyi i?aeneeaiiy na?oea a AN a iea/? ((, ? aac iueiai [5]. Oae ye oaeey 4 a?aenooiy ia nai?io aoiae?, aeey ?ic?aooie?a aeei?enoai? ??aiyiiy, io?eiai? a ?icae?e? 2, ui iienothoue o?aaeeoe?eia C*IA. A aeaiiiio aeiaaeeo ?ioaineaiino? ao?aeieo oaeeue C*IA aoaeooue aecia/aoeny a?aie/ieie oiiaaie a eaca?iiio ?aciiaoi??. Aoaeoeai?noue aeeiai?/ii? a?aoee ( oa?aeoa?eco? eiao?oe??io ca’yceo i?ae aeaiia iea/eia ?aciiaoi?a. Iaie io?eiaii, ui ii?iaia? oiiae aaia?aoe??, ( ? aeo?aei? ia?aiao?e a ?aciiaoi?? aac AN ia caeaaeaoue a?ae aaee/ei ?ioaineaiinoae aca?iiae?th/eo oaeeue, a aecia/athoueny o?eueee cia/aiiyie R, ( ? (l [5]. I?e ca?eueoaii? eiao?oe??ioa R ?ioaineai?noue oaee? 1 ((1) c?inoa?, ? iaeneioi aiie?ooaee aeeiai?/ii? a?aoee O?E ci?uo?oueny aei a?ai?, ia yeo iiaea?oueny oeae io/ie. sse ?acoeueoao, ( iaaea?. ? iaaiaee, i?aeaeuaiiy eiao?oe??ioa ( i?ecaiaeeoue aei ca?eueoaiiy (3 , iaeneioi aiie?ooaee a?aoee ci?uo?oueny aei oeaio?o O?E, ? ( c?inoa?. Aoaeoeai?noue aeeo?aeoe?? ( a eaca?iiio ?aciiaoi?? ia? ??cueeo caeaaei?noue a?ae eiinoaioe ca’yceo O?E. Aeey (l>7 io?eiaii ((1 i?e an?o
iiaeeeaeo cia/aiiyo R ? (. Aeey iaeeo aaee/ei eiinoaioe ca’yceo (
neeueii caeaaeeoue a?ae R ? (.

O a?a?eaeiiio eaca?? ie??i neaiaeueiiai aei?ii?ithaaiiy ((n=(4aeo)
cae?enith?oueny aeo?ae aei?ii?ithaaiiy o iai?yieao oaeeue 1, 2 ? 3 — oea
aei?ii?ithaaiiy ao?ao (a=(1aeo+(2aeo+(3aeo. A eaca?iiio ?aciiaoi?? aac
AN c caaeaiei (l a O?E iiaeii iioei?coaaoe a?aeiioaiiy (n/(a ,
aeae?ath/e a?aeiia?aei? eiao?oe??ioe a?aeaeaaiiy aeca?eae R ? (. I?e (l
ia aaeeeeo (o iaoiio aeiaaeeo (l=3), cia/aiiy (n/(a aoaea iaeneiaeueiei,
eiee eiao?oe??io i?iioneaiiy aeo?aeiiai aeca?eaea O=1-( aei??aith? 50%,
a R aeae?a?oueny yeiiiai iaioei aeecueei aei eiai ii?iaiaiai cia/aiiy.
Aeey aaeeeeo (l ((l>7) a?aeiioaiiy (n/(a caeaaeeoue o?eueee a?ae
aaee/eie O, c?inoath/e i?iii?oe?eii O. sseui iinoaaeoe i?aeneethth/a
na?aaeiaeua o (( iea/a ?aciiaoi?a, cia/aiiy (n/(a cia/ii i?aeaeuo?oueny,
iai?eeeaae, aeey aeiaaeea (l=10 a?eueoa i?ae ia ii?yaeie.

Aeniiaee.

1) ?acoeueoaoe oai?aoe/ieo aeine?aeaeaiue iieacothoue, ui i?iioneath/a
iaeieaeueia aeeiai?/ia a?aoea iieacieea caeiieaiiy, yea oi?io?oueny i?e
C*IA a iae?i?eiiio na?aaeiaeu? c iaeieaeueiei a?aeaoeii (O?E), a
noaoe?iia?iiio noai? ia? ?iciiae?e ii aiie?ooae? a oiauei? e?enoaeo
acaeiaae iai?yieo a?naeo?ene eooa noiaeaeaiiy noiooi?o io/e?a c
iaeiath/ith o aeaeyae? naeiina a?ia?aie?/iiai. I?io?eue ?iciiae?eo
aiie?ooaee a?aoee o noaoe?iia?iiio noai? C*IA caeaaeeoue a?ae ao?aeieo
?ioaineaiinoae ? oac oaeeue, a oaeiae eiinoaioe ca’yceo O?E (l.

2) Nooi?iue eieae?caoe?? a?aoee aoaea oei a?eueoee, /ei a?eueoa
eiinoaioa ca’yceo O?E oa iaio? ao?aei? ?ioaineaiino? oaeeue, ui
?iciianthaeaeothoueny a iai?yieo iioe/ii? a?n? O?E.

3) I?e C*IA a O?E c aaeeeith (l ((l>2) ana?aaeei? e?enoaea iiaeooue
ooai?thaaoenue e?aeia? iioe/i? aeeneieaoe??, a i?e ia?ao?aeiiio
i?ioean? caieno — e?aeia? aeeneieaoe?? aeeiai?/ii? a?aoee.

4) Aiane?aeie noai?aiiy e?aeiaeo aeeneieaoe?e i?e iaeiiio ? oiio ae
aaiiao?e/iiio iieiaeaii? O?E a iueiio iiaeooue iaeii/anii ?nioaaoe
iaeano? i?yii? ? cai?ioiuei? ia?aaea/? aia?a??. Oea caeaaeeoue a?ae
iai?yieo cnoao “oo?eo?a” aeeiai?/ii? a?aoee a?aeiinii iaeneioi?a
?ioa?oa?aioe?eii? ea?oeie oaeeue acaeiaae iiey?ii? a?n? O?E, aai,
a?aeiia?aeii, i?ioe oe??? a?n?.

5) Aeey iaeiiai ? oiai ae ni?aa?aeiioaiiy ao?aeieo ?ioaineaiinoae io/e?a
i?e C*IA a O?E iiaeooue aooe caienai? aea? a?aoee c ??ciith no?oeoo?ith
i?e aeeiiaii? aeayeeo oiia, a naia: i?ioean caieno iiaeiai ii/eiaoeny
i?e oiia? ?nioaaiiy a O?E ii/aoeiai? a?aa?anueei? aeey aeaieo io/e?a
i?iioneath/i? a?aoee; ??cieoey oac i?ae aeaiia noiooi?ie ao?aeieie
oaeeyie ci?ith?oueny ia ( — a ?acoeueoao? ci?ie i?inoi?iaiai ?iciiae?eo
na?oeiaiai iiey a?aeaoaa?oueny ia?a?iciiae?e aiie?ooaee ii/aoeiai?
a?aoee; (l iiaeiia ia?aaeuoaaoe ii?iaiaa cia/aiiy, aaee/eia yeiai
caeaaeeoue a?ae ni?aa?aeiioaiiy ao?aeieo ?ioaineaiinoae oaeeue.

6) Eiaeiiio ni?aa?aeiioaiith ?ioaineaiinoae ? oac ao?aeieo oaeeue
a?aeiia?aea? naiy no?oeoo?a noaoe?iia?ii? aeeiai?/ii? a?aoee i?e C*IA a
O?E. I?e ci?i? ii/aoeiaeo oiia caieno (iai?eeeaae, oeoeooaoe?yo
?ioaineaiinoae ? oac oaeeue), a?aoea aoaea ia?aaoaeiaoaaoenue, oiio aeey
io?eiaiiy noaa?eueieo aeo?aeieo ia?aiao??a C*IA iaiao?aeii noaa?e?coaaoe
?ioaineaiino? ? oace ao?aeieo oaeeue. A?aeiia?aeii, iai?aaeaiith ci?iith
ao?aeieo ?ioaineaiinoae ? oac oaeeue iiaeii cae?enithaaoe ia?aaoaeiao
?iciiae?eo i?io?ey aiie?ooaee a?aoee, ? oei naiei iioe/ia ea?oaaiiy
aoaeoeai?noth C*IA o caaeaiiio iai?yieo.

7) Io?eiaii iiaee oai?aoe/iee iien caaea/? C*IA a O?E, yeee iia?o?
aecia/aiiyi no?oeoo?e aeeiai?/ii? a?aoee ? aaco?oueny ia oi?ioaaii?
aeainoi?iiiueiai IOO-aeca?eaea; a?i iiaea aoaeoeaii aeei?enoiaoaaoeny
i?e ?ic?aooieao, i?iaeooaaii? ? iioei?caoe?? i?eeaae?a ? nenoai c C*IA a
O?E.

Iniiai? ?acoeueoaoe ?iaioe iioae?eiaaii a noaooyo:

1) Aoaae/oe N.A., Eooaia I.A., Oeaeiye A.?. No?oeoo?a aeeiai?/ieo
aieia?ao?/ieo a?aoie o oioi?ao?aeoeaieo e?enoaeao ?c cnoaiei iaoai?ciii
caieno // Oe?.o?c.aeo?i. — 1997. — O. 42, N 5. — N.530-535.

2) Aoaae/oe N.A., Eooaia I.A., Oeaeiye A.?. Aeeiai?ea caieno i?iioneii?
aeeiai?/ii? a?aoee o oioi?ao?aeoeaiiio na?aaeiaeu? c iaeieaeueiei
a?aeaoeii i?e /ioe?eio/eia?e aca?iiae?? // Oe?.o?c.aeo?i. — 1997. — O.
42, N 6. — N.678-683.

3) Aoaae/oe N.A., Eooaia A.A., Oeaeiye A.E. I?ino?ainoaaiiay no?oeoo?a
aieia?aoe/aneeo ?aoaoie a oioi?ao?aeoeaiuo e?enoaeeao n iaeieaeueiui
ioeeeeii // Eaaioiaay yeaeo?iieea. — 1997. — O. 24, N 8. — N.746-750.

4) Bugaichuk S.A., Khizhnyak A.I. Steady state and dynamic gratings in
photorefractive four-wave miximg // J. Opt. Soc. Am. B. — 1998. — 15, N
7. — P.2107-2113.

5) Aea?eaeiue eaca? ia aeeiaie/aneie ?aoaoea / Aoaae/oe N.A., Oeaeiye
A.E., Ooiaethe A.I. : Ein. Oeceee IAI Oe?aeiu. — Eeaa, 1995. — 66 n. —
?on. — Aeai. a AIOA Oe?aeiu 11.05.95, N 1181 — Oe95 // Aiio. a
aeaeeia?aoe/aneii oeacaoaea AEIEOE ?AI, N 9 (286), 1995, a/i 179, N.68.

oa a oacao aeiiia?aeae:

6) Khyzniak A.I., Bougaychouk S.A. Edge dislocation of FWM dynamic
grating in photorefractive medium // Conference on Lasers and
Electro-Optics Europe (CLEO-Europe-96). — Hamburg (Germany). — 1996. —
IEEE Catalog Number 96TH8161, paper CMK6. — P.40.

7) Bougaichouk S.A., Kutana A.G., Khizhnyak A.I. Steady state and
dynamic solutions for the dynamic holographic grating formed during the
FWM in PRC // 1997 Topical Meeting on Photorefractive Materials, Effects
and Devices (PR’97). — Chiba (Japan). — 1997. — P.254-257.

Oeeoiaaia e?oa?aoo?a.

1*) Iaeoeia N.A., Nineei I.N., Oeaeiye A.E. Eaca?u ia aeeiaie/aneeo
?aoaoeao. — I.: Iaoea. — 1990. — 272 n.

2*) Photorefractive Metarials and Applitcations (Ed. by P. Gunter and
J.-P. Huignard). — TAP 61. — Heidelberg: Springer Verlag. — 1988. — 295
p.

3*) Yeh P. Introduction to photorefractive nonlinear optics. — John
Wiley. Sons, New York. — 1993. — 375 p.

4*) Photorefractive Metarials and Applitcations (Ed. by P. Gunter and
J.-P. Huignard). — TAP 62. — Heidelberg: Springer Verlag. — 1988. — 320
p.

5*) Jaganathan M., Bashaw M.C., Hesseling L. Evolution and propagation
of grating envelopes during erasure in bulk photorefractive media // J.
Opt. Soc. Am. B. — 1995. — Vol. 12, N.7. — P.1370-1383.

6*) Cicoey A.A., Oeoii/oe A.O. ?aoaiea iaeeiaeiuo o?aaiaiee
/aou?aoaieiiaiai acaeiiaeaenoaey a oioi?ao?aeoeaiuo n?aaeao // Eaaioiaay
yeaeo?iieea. — 1988. — O. 15, N 8. — N.1570-1576.

7*) Shimure T., Nakamura A., Kuroda K., Wakomoto H., Thuraroshi M.
Stabilization of the phase conjugate reflectivity in photorefractive
four-wave mixing // Presented an Conference on Lasers and Electro-Optics
Europe (CLEO-96 Europe). — IEEE Catalog Number 96TH8161. — 1996. —
P.109.

Aoaae/oe N.A. No?oeoo?a aeeiai?/ieo i?iioneath/eo a?aoie a
oioi?ao?aeoeaieo e?enoaeao c iaeieaeueiei a?aeaoeii. — ?oeiien.
Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.05 — iioeea, eaca?ia
o?ceea. — ?inoeooo o?ceee IAI Oe?a?ie, Ee?a, 1998.

Aeena?oaoe?y i?enay/aia oai?aoe/iiio aeine?aeaeaiith no?oeoo?e ia’?iieo
i?iioneath/eo aeeiai?/ieo a?aoie, ui oi?iothoueny i?e cono??/i?e
/ioe?eio/eia?e aca?iiae?? (C*IA) a oioi?ao?aeoeaiiio (O?) na?aaeiaeu? c
iaeieaeueiei a?aeaoeii. A?aoea iieacieea caeiieaiiy ? eieae?ciaaiith o
oiauei? O? na?aaeiaeua. Aia?oa iieno?oueny i?io?eue iaeiath/i?
aiie?ooaee oe??? a?aoee, io?eiaiee o aeaeyae? ooieoe?? naeaina
a?ia?aie?/iiai. Aecia/aii, ye caeaaeeoue oi?ia i?io?eth aiie?ooaee
a?aoee oa i?noeaiieiaeaiiy ?? iaeneioio a?ae ia?aiao??a ao?aeieo
aca?iiae?th/eo oaeeue — ni?aa?aeiioaiiy ?o ?ioaineaiinoae ? oac.
?ic’yniai? oiiae ?nioaaiiy aaaaoicia/ieo noaoe?iia?ieo noai?a, ?i
a?aeiia?aeathoue ??ci? no?oeoo?e a?aoie. Noai?aia ? canoiniaaia iiaa
oai?aoe/ia iiaeaeue aeey io?eiaiiy noaoe?iia?ieo ?ica’yce?a i?e C*IA,
yea aaco?oueny ia oi?ioaaii? aeainoi?iiiueiai iaa?oath/iai oaeeueiaee
o?iio aeca?eaea ana?aaeei? O? na?aaeiaeua.

Eeth/ia? neiaa: aeeiai?/ia aieia?ao?y, aeeiai?/ia a?aoea,
oioi?ao?aeoeaiee e?enoae, iaeieaeueiee a?aeaoe, /ioe?eio/eiaa
aca?iiae?y.

Aoaae/oe N.A. No?oeoo?a aeeiaie/aneeo i?iioneathueo ?aoaoie a
oioi?ao?aeoeaiuo e?enoaeeao n iaeieaeueiui ioeeeeii. — ?oeiienue.
Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.05 — iioeea,
eaca?iay oeceea. — Einoeooo oeceee IAI Oe?aeiu, Eeaa, 1998.

Aeenna?oaoeey iinayuaia oai?aoe/aneiio enneaaeiaaieth no?oeoo?u iauaiiuo
i?iioneathueo aeeiaie/aneeo ?aoaoie, eioi?ua oi?ie?othony i?e ano?a/iii
/aou?aoio/eiaii acaeiiaeaenoaee (A*IA) a oioi?ao?aeoeaiie (O?) n?aaea n
iaeieaeueiui ioeeeeii. ?aoaoea iieacaoaey i?aeiieaiey yaeyaony
eieaeeciaaiiie aioo?e O? n?aaeu. Aia?aua iienuaaaony i?ioeeue iaeaathuae
aiieeooaeu yoie ?aoaoee, iieo/aiiue a aeaea ooieoeee naeaina
aeia?aiee/aneiai. Iieacaii, eae caaeneo oi?ia i?ioeey aieeooaeu ?aoaoee
e ianoiiieiaeaiea aa iaeneioia io ia?aiao?ia aoiaeiuo
acaeiiaeaenoaothueo aiei — niioiioaiey eo eioaineaiinoae e oac.
Iauyniaiu oneiaey nouanoaiaaiey iiiaicia/iuo noaoeeiia?iuo ninoiyiee, ei
niioaaonoaotho ?aciua no?oeoo?u ?aoaoie. Nicaeaia e i?eiaiaia iiaay
oai?aoe/aneay iiaeaeue aeey iieo/aiey noaoeeiia?iuo ?aoaiee i?e A*IA,
eioi?ay aace?oaony ia oi?ie?iaaiee aeaoonoi?iiiaai ia?auathuaai aieiiaie
o?iio ca?eaea aioo?e O? n?aaeu.

Eeth/aaua neiaa: aeeiaie/aneay aieia?aoey, aeeiaie/aneay ?aoaoea,
oioi?ao?aeoeaiue e?enoaee, iaeieaeueiue ioeeee, /aou?aoio/eiaia
acaeiiaeaenoaea.

Bugaichuk S.A. The structure of the dynamic transmission gratings in
photorefractive crystals with non-local response. — Manuscript. Thesis
for in candidate’s degree Physics & Mathematics in speciality 01.04.05 —
optics, lasers’ physics. — Institute of Physics of National Academy of
Science of Ukraine, Kyiv, 1998.

The dessirtation is devoted to the theoretical investigations of the
structures of the volume transmission dynamic gratings, that are formed
during four-wave mixing (FWM) in photorefractive (PR) medium with
non-local response. The refracting index grating is localized in the
volume of the PR medium. For the first time the profile of the grating
amplitude are described with the secanse hyperbolic function. It has
been determined the manner, how the grating amplitude profile and its
maximum location depend on parameters of input coupling waves. The
parameters studied have been intensities ratio and phases of waves. The
conditions of the existence of the many-values steady states have
been explained. These states have different gratings’ structures. It has
been developed and used the new theoretical model, that allows to obtain
the FWM steady state solutions. The basis of this mode lies on forming
of a double phase-conjugation mirror within the PR medium.

Key words: dynamic holography, dynamic grating, photorefractive crystal,
non-local response, four-wave mixing.

AOAAE*OE NA?OEAIA AIAOIE??AIA

NO?OEOO?A AeEIAI?*IEO I?IIONEATH*EO A?AOIE A OIOI?AO?AEOEAIEO E?ENOAEAO
C IAEIEAEUeIEI A?AeAOEII

I?aeienaii aei ae?oeo 16.09.98 oi?iao iaia?o

60o84/16. Ionaoiee ae?oe. Oi. ae?oe. a?eoo?a 1,2

Iae. aeae. a?eoo?a 0,82. Oe?aae 100. Cai. ? 32

Aaceiooiaii.

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252022

?inoeooo o?ceee IAI Oe?a?ie, AIO?

Ee?a, i?.Iaoee 46

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