Нестаціонарні електромагнітні явища у дисипативному діелектрику зі змінними у часі параметрами: Автореф. дис… канд. фіз.-мат. наук / О.М. Рибін, Хар

OA?E?ANUeEEE AeA?AEAAIEE OAOI?*IEE OI?AA?NEOAO ?AAe?IAEAEO?II?EE

?ea?i Ieaa Ieeieaeiae/

OAeE 537.87; 621.371

IANOAOe?IIA?I? EEAEO?IIAAI?OI? ssAEUA O AeENEIAOEAIIIO Ae?AEAEO?EEO C?
CI?IIEIE O *AN? IA?AIAO?AIE

01.04.03 — ?aae?io?ceea

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Oa?e?a — 1998

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Oa?e?anueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
?aae?iaeaeo?ii?ee.

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

Ia?oo Ieaenaiae? Aai?a?eiae/,

Oa?e?anueeee aea?aeaaiee oaoi?/iee oi?aa?neoao

?aae?iaeaeo?ii?ee,

caa?aeoth/ee eaoaae?e aeui? iaoaiaoeee.

Io?oe?ei? iiiiaioe:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Aecaoeueeee Ieeiea ?aaiiae/,
IIOe “Oa?e?anueeee o?ceei-oaoi?/iee ?inoeooo”, canooiiee aee?aeoi?a IAeE
“I?enei?thaa/”;

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Ianaeia Na?a?e
Ieaenaiae?iae/, ?inoeooo ?aae?io?ceee oa aeaeo?ii?ee IAI Oe?a?ie,
caa?aeoth/ee a?aeae?eii.

I?ia?aeia onoaiiaa:

Oa?e?anueeee aea?aeaaiee oi?aa?neoao, eaoaae?a oai?aoe/ii? ?aae?io?ceee,
i. Oa?e?a.

Caoeno a?aeaoaeaoueny “ 10 ” 03 1999 p. o 13 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.052.03 Oa?e?anueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ?aae?iaeaeo?ii?ee, 310726 Oa?e?a,
i?. Eai?ia 14, aoae. 4

C aeena?oaoe??th iiaeii iciaeiieoeny o a?ae?ioaoe? OAeOO?A, 310726
Oa?e?a, i?. Eai?ia 14.

Aaoi?aoa?ao ?ic?neaiee “ 03 ” 02 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
*o?thiia A.?.CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Inoaii?i /anii cia/ii iineeeany ?ioa?an aei
aeine?aeaeaiiy aeaeo?iiaai?oieo iie?a o /an? o ca’yceo c iaiao?aei?noth
?ica’ycoaaiiy oe?ieiai eeano i?eeeaaeieo caaea/, aei yeeo iaeaaeaoue
oae?: ciiaeoaaiiy ?iiinoa?e; aeyaeaiiy ia’?eo?a, ui ?ooathoueny;
noai?aiiy iaeiiii?oieo e?oaeueieo aia?ao?a (Stelth-oaoiieia??);
ia?aoeiaeino?ee?noue o ?aae?ieieaoe?eiiio ciiaeoaaii? oa ?aae?ica’yceo
a?aeiinii oaeeo yaeu ye aeeneaaee oa aeaeo?iiaai?oi? ?iioeuene, ui
aeieeathoue i?e yaea?iiio aeaooo; aieea aeaeo?iiaai?oiiai
aei?ii?ithaaiiy ia a?ieia?/i? ia’?eoe; ia?aoai?aiiy ? iineeaiiy
aeaeo?iiaai?oieo oaeeue i?e aca?iiae?? c ianoaoe?iia?ieie ia’?eoaie ?
o.?i. On? oe? yaeua oa?aeoa?ecothoueny aeayeeie caaaeueieie ?enaie, aei
yeeo ne?ae a?aeianoe neeaaeio /aniao no?oeoo?o ia?aeiiiai
aeaeo?iiaai?oiiai neaiaeo oa ci?iaiiy o /an? ia?aiao??a na?aaeiaeua.
Oae, iai?eeeaae, ca?yaeaeai? /anoeiee ? eini?/ia aei?ii?ithaaiiy o
oe?ieiio niaeo?? aeiaaeei oaeeue ci?iththoue aeanoeaino? na?aaeiaeua a
?iiinoa?? oa o iaai?oinoa??, ui i?ecaiaeeoue aei ooai?aiiy ca /an
wmetafile8? ??O????????????
???????????yyy????.????1?????? ???????
@A???&??yyyy?????Ay¤y?ae ???&? ?MathType?? ????u?th??????
I?eaaaeai? aeua i??eoaaiiy aeiaiaeyoue aeooaeuei?noue aiae?oe/iiai
aeine?aeaeaiiy ianoaoe?iia?ieo aeaeo?iiaai?oieo yaeu ca aeiiiiiaith
i?yieo /aniaeo iaoiae?a.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeaia
aeena?oaoe?eia ?iaioa aeeiiaia o ?aieao IAe?, “?ic?iaea iaoiae?a ia?iaee
?iioeuenieo neaiae?a o aeoeaieo na?aaeiaeuao”, iiia? aea?aeaaii?
?aa?noaoe?? 0197UO14170, iaeac I?iina?oe Oe?a?ie ? 37 a?ae 13.02.1997,
ui aoiaeeoue aei i?aeaoc?anueeiai iaoeiai-oaoi?/iiai eii?aeeiaoe?eiiai
ieaio ? 18a.

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith aeaii? aeena?oaoe?eii? ?iaioe ?
iaea?aeaiiy oa e?euee?nia iienaiiy caeiiii??iinoae
ia?aoai?thaaiiy

aeaeo?iiaai?oieo neaiae?a i?e ?iioeueniiio ci?iaii? o /an? ia?aiao??a,
ae?aeaeo?e/ii? i?iieeiino? oa i?ia?aeiino?, iaiaaeaiiai aeeneiaoeaiiai
na?aaeiaeua.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. O aeai?e aeena?oaoe?ei?e
?iaio? aia?oa:

1) Iaea?aeaii iiaeeo?eiaaiee ae?ac aeey ?acieueaaioiiai iia?aoi?a
?ioaa?aeueiiai ??aiyiiy, ui iieno? aeaeo?iiaai?oia iiea a iaiaaeaiiio
na?aaeiaeu? c iaeii/aniei ci?iaiiyi ae?aeaeo?e/ii? i?iieeiino? ?
i?ia?aeiino?.

2) Aeine?aeaeaii aieea ia aeaeo?iiaai?oia iiea iiaeoeyoe?? o /an?
ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? na?aaeiaeua iaeoieii e?ioeaai?
o?eaaeino? i?yiieooieo ?iioeuen?a, ui iiaoi?ththoueny.

3) Aeine?aeaeaii aieea ieinei? iaae? ianoaoe?iia?iiai na?aaeiaeua ia
caeeoeia? yaeua i?e ia?aoai?aii? ieineeo aeaeo?iiaai?oieo neaiae?a,
ni?e/eiaiiai ?iioeueniei cao?aiiyi o /an? ae?aeaeo?e/ii? i?iieeiino? ?
i?ia?aeiino? na?aaeiaeua.

4) ?aae?ciaaii /enaeueii-aiae?oe/iee aeai?eoi, ui aeicaiey? e?euee?nii
iienoaaoe iioe?aiiy aeaeo?iiaai?oieo oaeeue aeia?eueii? oi?ie ye o
aaciaaeieo, oae ? o iai?aiaiaaeaieo na?aaeiaeuao c aeia?eueiith
caeaaei?noth a?ae /ano ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino?.

Oaeei /eiii, o ?iaio? aeine?aeaeai? oa?aeoa?i? aeanoeaino?
ia?aoai?thaaiiy aeaeo?iiaai?oieo neaiae?a o na?aaeiaeu? i?e ci?iaii? o
/an? eiai ia?aiao??a.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. ?acoeueoaoe, iaea?aeai? a
aeai?e aeena?oaoe?ei?e ?iaio?, iiaeooue aooe aeei?enoai? i?e:

1) aeine?aeaeaii? iioe?aiiy aeaeo?iiaai?oieo oaeeue a ?iiinoa??;

2) aeine?aeaeaii? ia?aoai?thaaiiy aeaeo?iiaai?oieo oaeeue i?e ?ii?caoe??
na?aaeiaeua, a oaeiae i?e ci?iaii? o /an? ia?aiao??a iai?ai?ia?aeieeiaeo
na?aaeiaeu;

3) neioac? ea?iaaieo na?aaeiaeu, ui i?ecia/ai? aeey iineeaiiy
aeaeo?iiaai?oieo neaiae?a ? ia?aoai?thaaiiy /anoioe.

Iaa?oioiaai?noue ? aeinoia??i?noue ?acoeueoao?a. ?acoeueoaoe,
aeeeaaeai? a aeai?e aeena?oaoe?ei?e ?iaio?, iaea?aeai? i?e ?ica’ycoaaii?
caaea/, ye? aeei?enoiaothoue iaoaiaoe/i? iiaeae?, ui aaeaeaaoii
iienothoue ?aaeuei? o?ce/i? yaeua. Aiie aeia?a ocaiaeaeothoueny c
o?ce/iith ea?oeiith aea/aieo ianoaoe?iia?ieo yaeu. ?ica’ycaiiy
iinoaaeaieo caaea/ cae?enith?oueny ia iniia? no?iaeo iaoaiaoe/ieo
iaoiae?a. Iaea?aeai? ?acoeueoaoe o a?aie/ieo ie?aieo aeiaaeeao
ca?aathoueny c ?acoeueoaoaie iaae?oeiaaieo ?ia?o ?ioeo aaoi??a.

Iniiai? ?acoeueoaoe oa aeniiaee, ui aeiinyoueny ia caoeno.

1. ?acieueaaioiee iia?aoi? aeey ?ica’ycoaaiiy ?ioaa?aeueiiai ??aiyiiy,
ui iieno? aeaeo?iiaai?oia iiea a iaiaaeaiiio ieineith iaaeath
aeeneiaoeaiiio na?aaeiaeu?, ae?aeaeo?e/ia i?iieei?noue ? i?ia?aei?noue
yeiai iiaeoeth?oueny ?iioeueniei cao?aiiyi o /an?.

2. Aeanoeaino? aeaeo?iiaai?oieo oaeeue, ui iioe?ththoueny o aaciaaeiiio
na?aaeiaeu?, ae?aeaeo?e/ia i?iieei?noue ? i?ia?aei?noue yeiai
iiaeoeueiaai? o

/an? iaeoieii e?ioeaai? o?eaaeino? i?yiieooieo ?iioeuen?a, ui
iiaoi?ththoueny.

3. No?oeoo?a aeaeo?iiaai?oiiai iiey oa caeeoeia? yaeua, iaoiiaeai?
aieeaii ieinei? iaae? ianoaoe?iia?iiai na?aaeiaeua i?e ?iioeueniiio
cao?aii? ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? na?aaeiaeua.

4. ?ic?aooiie ca aeiiiiiaith /enaeueii-aiae?oe/iiai aeai?eoia
ia?aoai?thaaiiy aeaeo?iiaai?oieo neaiae?a i?e neeaaei?e caeaaeiino? a?ae
/ano ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? ye aaciaaeiiai, oae ?
iai?aiaiaaeaiiai na?aaeiaeua.

Iniaenoee aianie caeiaoaa/a.

Ca iaoa??aeaie ae?oaiai ?icae?eo iaae?oeiaai? noaoo? [1-3], o yeeo
aaoi? aeena?oaoe?? io?eiaa ae?ace aeey ?acieueaaioe ?ioaa?aeueiiai
??aiyiiy.

Ca iaoa??aeaie o?aoueiai ?icae?eo, iaae?oeiaaia noaooy [1], o ye?e
aaoi?ii aeena?oaoe?? iaea?aeaii ?aeo?aioi? ni?aa?aeiioaiiy aeey iiey ?
i?iaaaeaii ?o aiae?c.

Ca iaoa??aeaie /aoaa?oiai ?icae?eo, iaae?oeiaaia noaooy [2], o ye?e
aaoi?ii aeena?oaoe?? iaea?aeai? oi?ioee ? i?iaaaeaii ?o aiae?c.

Ca iaoa??aeii i’yoiai ?icae?eo iaae?oeiaaia noaooy [3], o ye?e aaoi?
aeena?oaoe?? aeeiiaa /enaeueio ?aae?caoe?th aeai?eoio ?ic?aooieo iie?a,
a oaeiae aiae?c io?eiaieo ?acoeueoao?a.

Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeaii? aeena?oaoe?eii? ?iaioe
aoee i?aaenoaaeai? ia:

— 2-e Iaaeaeoia?iaeiie eiioa?aioeee “Oai?ey e oaoieea ia?aaea/e, i?eaia
e ia?aaioee eioi?iaoeee”, Ooaina, Oe?aeia, 1996.

— 6-e Iaaeaeoia?iaeiie eiioa?aioeee ”NA*-oaoieea e oaeaeiiioieeaoeeiiiua
oaoiieiaee” (E?uIeEi 96), Naaanoiiieue, Oe?aeia, 1996.

— The Second International Conference on Antennas Theory and Techniques
(ICATT’97), Kyiv, Ukraine, 1997.

— VII iaaeaeoia?iaeiii neiiiceoia “Iaoiaeu aeene?aoiuo iniaaiiinoae a
caaea/ao iaoaiaoe/aneie oeceee” (IAeICIO-97), Oaiaeiney, Oe?aeia, 1997.

— The Fourth International Symposium on Antennas and EM Theory
(ISAET’97), Xi’an, China, 1997.

— 15th IMACS Word Congress on Scientific Computation Modelling and
Applied Mathematics (IMACS WC’97), Berlin, Germany, 1997.

— Iino?eii ae?th/ee iaoeiaee nai?ia? “Iaoiaee ?ica’ycaiiy ??aiyiue o
caaea/ao iae?ineii?/ii? aeaeo?iaeeiai?ee”, Oa?e?a, Oe?a?ia, 1997.

— International Conference on High-Power Electromagnetics: EUROEM’98,
Tel-Aviv, Israel, 1998.

— International Conference on Mathematical Methods in EM Theory
(MMET’98), Kharkov, Ukraine, 1998.

— 8-e Iaaeaeoia?iaeiie eiioa?aioeee ”NA*-oaoieea e oaeaeiiioieeaoeeiiiua
oaoiieiaee” (E?uIeEi 98), Naaanoiiieue, Oe?aeia, 1998.

Ioae?eaoe??.

?acoeueoaoe, aeeeaaeai? a aeai?e aeena?oaoe?ei?e ?iaio?, iaae?oeiaaii o
o?ueio noaooyo o iaoeiaeo aeo?iaeao, o naie aeiiia?aeyo ? aeaio oacao
i?aeia?iaeieo iaoeiaeo eioa?aioe?e.

Ia’?i ? no?oeoo?a aeena?oaoe??. Aeena?oaoe?y neeaaea?oueny c? anooio,
i’yoe ?icae?e?a, aeniiaeo, nieneo e?oa?aoo?e (96 iaeiaioaaiiue) ?
aeiaeaoea. Caaaeueiee ia’?i — 140 noi??iie, iniiaiee oaeno — 124
noi??iee, ?iaioa i?noeoue 28 iaethie?a.

INIIAIEE CI?NO ?IAIOE

O anooi? iaaiai?th?oueny aeooaeuei?noue oaie aeena?oaoe?eii? ?iaioe,
aeaco?oueny ia ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ui i?iaiaeyoueny a
i?aai?caoe??, aea aeeiiaia ?iaioa, oi?iothoueny iaoa ? caaea/? ?iaioe,
aeaco?oueny iaoeiaa iiaecia iaea?aeaieo o aeena?oaoe?? ?acoeueoao?a oa
?o i?aeoe/ia cia/aiiy, oi?ioeththoueny ?acoeueoaoe ? aeniiaee, ui
aeiinyoueny ia caoeno, a oaeiae iaaaaeaii ?ioi?iaoe?th i?i iniaenoee
aianie caeiaoaa/a, ai?iaaoe?? ?acoeueoao?a ?iaioe oa ?ioi?iaoe?y i?i
ioae?eaoe??.

O ia?oiio ?icae?e? iaaaaeaii ei?ioeee iaeyae e?oa?aoo?e oa
iaa?oioiao?oueny aea?? iai?yieo aeine?aeaeaiiy.

O ae?oaiio ?icae?e? e?aeiaa aeaeo?iaeeiai?/ia caaea/a aca?iiae??
aeaeo?iiaai?oieo oaeeue c ianoaoe?iia?iei na?aaeiaeuai oi?ioeth?oueny o
aeaeyae? ?ioaa?aeueiiai ??aiyiiy

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a aeey aeiaaeeo ianoaoe?iia?iiai na?aaeiaeua c ieineith iaaeath
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A oeeo oi?ioeao wmetafile8? ??th????????????
???????????yyy????.????1?????? ??????? 
@???&??yyyy?????Ay¬y?I ???&? ?MathType??P????u?th??????
Iaea?aeaii oi/iee ae?ac aeey ?acieueaaioiiai iia?aoi?a iaeiiaei??iiai ii
i?inoi?ia?e eii?aeeiao? ?ioaa?aeueiiai ??aiyiiy, ui iieno? ia?aoai?aiiy
aeaeo?iiaai?oiiai iiey, ni?e/eiaiiai no?eaeiiiae?aiei ci?iaiiyi o /an?
ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? na?aaeiaeua i?e iayaiino?
iaae?. Iieacaii, ui oeae iia?aoi? neeaaea?oueny c aeaio neeaaeiaeo:
ia?oa ? ?acieueaaioith aaciaaeii? caaea/?, a ae?oaa iaoiiaeaia aieeaii
iaae? ianoaoe?iia?ii? iaeano?.

O o?aoueiio ?icae?e? io?eiaii no?iaa ?ica’ycaiiy caaea/? i?i iioe?aiiy
iiiio?iiaoe/ii? oaee? o aaciaaeiiio na?aaeiaeu?, ae?aeaeo?e/ia
i?iieei?noue ? i?ia?aei?noue yeiai iiaeoeueiaai? o /an? e?ioeaaei
iaeoieii i?yiieooieo ?iioeuen?a, ui iiaoi?ththoueny. Iieacaii, ui ia
aoaeue-yeiio ia??iae? ci?ithaaiiy ia?aiao??a na?aaeiaeua ia?aoai?aia
iiea neeaaea?oueny c i?yii? oa iaa?iaii? oaeeue. O aeiaaeeo, yeui
iine?aeiai?noue ?iioeuen?a ae?aeaeo?e/ii? i?iieeiino? ii?aeiaia o /an? c
iine?aeiai?noth ?iioeuen?a i?ia?aeiino?, oe? oaee? iathoue aeanoeaino?:

— aiie?ooaee ? /anoioe oeeo oaeeue ? eoneiai-noaeeie ooieoe?yie /ano;

— aiie?ooaee i?yii? oa iaa?iaii? oaeeue wmetafile8? ???????????????
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A???&??yyyy?????Ay¬y?I ???&? ?MathType??P????u?th??????

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Ooo wmetafile8? ??<??????????? ???????????yyy????.????1?????? ??????? ?@???&??yyyy?????Ay1/4y?< ???&? ?MathType??`????u????????????-?????”????? ????–????C???u?? ??????????-?????C???0???-?????0???L?t???L?t ???L?????u?th??????- aaee/eia aiie?ooaee i?yii? oaee? ia ?ioa?aae? niieith ia?aiao??a na?aaeiaeua caaaeaee a?eueoa ca aiie?ooaeo iaa?iaii? oaee?; - i?e aecia/aieo ni?aa?aeiioaiiyo ia?aiao??a na?aaeiaeua aaee/eie aiie?ooae ye i?yii?, oae ? iaa?iaii? oaeeue ia ?ioa?aaeao niieith iiaeooue aooe a?eueoeie, i?ae aiie?ooaea ia?aeiii? oaee?; - i?e aecia/aieo ni?aa?aeiioaiiyo ia?aiao??a na?aaeiaeua ? /anoioe ia?aeiii? oaee? iaa?iaia oaeey cieea? ia ?ioa?aae? niieith ia?aiao??a na?aaeiaeua, ui a?aeiia?aea? aecia/aiiio ia??iaeo iiaeoeyoe?oe??; - ci?ithaaiiy iiaeoe?a aiie?ooae i?yii? oa iaa?iaii? oaeeue, a oaeiae ?o a?aeiioaiiy a caeaaeiino? a?ae ca?eueoaiiy /enea ia??iae?a ci?ithaaiiy ia?aiao??a na?aaeiaeua iiaea iaoe ye ia?aaoey?iee (?en. 1a), oae ? iiiioiiiee oa?aeoa? (?en. 1a). O /aoaa?oiio ?icae?e? ?icaeyiooi aieea iaae? ia ia?aoai?aiiy aeaeo?iiaai?oieo neaiae?a i?e ?iioeueniiio ci?iaii? o /an? ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? na?aaeiaeua. ?icaeyiooi caeeoeia? yaeua i?e oaeiio ia?aoai?aii?. Aeyaeaii, ui i?e eiaeiiio no?eaeo ia?aiao??a na?aaeiaeua ia?aeiia iiiio?iiaoe/ia oaeey ?icuaieth?oueny ia aea? ieine? oaee?, ye? iioe?ththoueny o i?ioeeaaeieo iai?yieao. I?ney ia?oiai no?eaea ia?aiao??a, eiee na?aaeiaeua ia?aoiaeeoue aei cao?aiiai noaio, oe? oaee? iathoue oaea ae, ye ? o ia?aeiii? oaee?, oaeeueiaa /enei, aea iiao /anoioo wmetafile8? ??O??????????? ???????????yyy????.????1?????? ??????? ? ???&??yyyy?????Ay?ya? ???&? ?MathType??`????u????????????-????????? +???u???????? ????-??????4??? ????i/????(???u?? ??????????-????O(???°o???-????°w???T?O???T?O ???T?A???u?th?????? Aneiioioe/ii a iaiaaeai?e iaeano? i?inoi?o a?ae on?o iaai??a oaeeue caeeoathoueny: iaia?a?aiee niaeo? oaeeue, ui niaaea? o /an? ye wmetafile8? ??????????????? ???????????yyy????.????1?????? ???????  @???&??yyyy?????Ay¬y?I ???&? ?MathType??P????u????????????-?????T?q???Ooe???u?th????? ? ?icaeyiooi oaeiae ia?aoai?aiiy a?aeai?iioeueno i?yiieooii? oi?ie i?e oaeiio ae ci?ithaaii? ia?aiao??a na?aaeiaeua. I?iaiae?ciaaia i?inoi?iai-/aniaa no?oeoo?a ia?aoai?aieo ?iioeuen?a. O i’yoiio ?icae?e? iaaaaeaii ?aae?caoe?th /enaeueiiai aeai?eoio, iiaoaeiaaiiai ia ?ioaa?aeueieo ??aiyiiyo. Oeae aeai?eoi aeicaiey? e?euee?nii iienoaaoe ia?aoai?aiiy aeaeo?iiaai?oieo neaiae?a aeia?eueii? oi?ie ye o aaciaaeieo, oae ? a iai?aiaiaaeaieo na?aaeiaeuao c aeia?eueiith caeaaei?noth a?ae /ano ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino?. Ia ?en. 4, iai?eeeaae, iieacaii ia?aoai?aiiy a?aeai?iioeueno i?e ?iioeueniiio ci?iaii? o /an? ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino?. Ia ?en. 5-6 iieacaii ia?aoai?aiiy ia?aeiiiai ?iioeueno o aeaeyae? ooieoe?? Aaona i?e neeaaeieo caeiiao iaia?a?aiiai ci?ithaaiiy ia?aiao??a na?aaeiaeua. ?ic?aooiie oanoiaeo caaea/ iieacaa, ui iaiao?aeia oi/i?noue aeai?eoio caa??aa?oueny o i?inoi?iai-/ania?e iaeano?, ui ? aeinoaoiueith aeey aiae?co aaiethoe?? ia?ao?aeieo aeaeo?iiaai?oieo i?ioean?a, aeeeeeaieo ci?ithaaiiyi o /an? ia?aiao??a na?aaeiaeua. *enaeuei? ?acoeueoaoe ocaiaeaeothoueny c ?acoeueoaoaie aiae?oe/iiai aeine?aeaeaiiy iiae?aieo caaea/, i?iaaaeaieo o iiia?aaei?o ?icae?eao. O aeniiaeao i?eaaaeaii ?acoeueoaoe, io?eiai? o aeena?oaoe?? oa aeacaii ia iiaeeea? iai?yiee i?iaeiaaeaiiy aeine?aeaeaiiue. O aeiaeaoeo caienai? iaea?eueo a?ii?caee? oi?ioee /aoaa?oiai ?icae?eo. AENIIAEE Ia’?eoii aeine?aeaeaiiy, i?iaaaeaiiai a aeai?e aeena?oaoe?ei?e ?iaio?, ? aeaeo?iiaai?oia iiea o na?aaeiaeu? c? ci?iieie o /an? ae?aeaeo?e/iith i?iieei?noth ? i?ia?aei?noth. Aeine?aeaeaiiy i?iaiaeeeeny ca aeiiiiiaith aaiethoe?eiiai i?aeoiaeo, ca?aeii c yeei aca?iiae?y aeaeo?iiaai?oiiai iiey c ianoaoe?iia?ieie na?aaeiaeuaie iieno?oueny eaioethaeeii aaiethoe?eii-ca’ycaieo ?ioaa?aeueieo ??aiyiue Aieueoa??a. ?ica’ycaiiy oeeo ??aiyiue i?iaiaeeeiny ye aiae?oe/ii ca aeiiiiiaith iaoiaea ?acieueaaioe, oae ? /enaeueii, a naia i?e aeine?aeaeaii? ia?aoai?thaaiiy aeaeo?iiaai?oieo oaeeue i?e ?iioeueniiio ci?iaii? o /an? ia?aiao??a na?aaeiaeua - o aeiaaeeo i?yiieooieo ?iioeuen?a - aiae?oe/ii, o aeiaaeeo ?iioeuen?a a?eueo neeaaeii? oi?ie - /enaeueii. 1. Iieacaii, ui aieea iaae? na?aaeiaeua ia ia?aoai?aiiy aeaeo?iiaai?oii? oaee?, aeeeeeaia ?iioeueniei cao?aiiyi ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino? na?aaeiaeua, aeyaey?oueny a ooai?aii? i?inoi?iai? no?oeoo?e iiey o aeae? nenoaie iaeanoae c ??cieie iaai?aie iaia?a?aiiai ? aeene?aoiiai niaeo??a oaeeue. I?ioyaii /ano no?oeoo?a iiey ci?ith?oueny oae, ui o i?inoi?? caeeoathoueny ia?aeiia oa iaa?iaia ?e oaeey, a oaeiae iaia?a?aiee niaeo? oaeeue. I?e aeayeeo cia/aiiyo ia?aiao??a na?aaeiaeua, /anoioe ia?aeiii? oaee? oa o?eaaeino? cao?thth/iai ?iioeueno iaa?iaia oaeey ia? aiie?ooaeo, ui ia?aaeuo? ca iiaeoeai aiie?ooaeo ia?aeiii? oaee?. O aeiaaeeo ia?aeiiiai i?yiieooiiai a?aeai?iioeueno ?iioeuenia ci?iaiiy o /an? ia?aiao??a na?aaeiaeua aeeeeea? iiyao o i?inoi?? aeaio ia? i?yieo oa iaa?iaieo ?iioeuen?a, ui ?icoiaeyoueny. I?e ?icoiaeaeaii? ?iioeuene caeeoathoue ne?ae o aeaeyae? aeaeo?iiaai?oiiai iiey c iaiaeii??aeiith i?inoi?iai-/aniai? no?oeoo?ith. Iaea?aeai? ae?ace i?noyoue ye ie?ai? aeiaaeee ?acoeueoaoe, ui a?aeii? o e?oa?aoo??. 2. ?icaeyiooi ia?aoai?aiiy oaeeue, aeeeeeaia iiaeoeyoe??th o /an? ia?aiao??a na?aaeiaeua e?ioeaaei iaeoieii ia??iaee/ieo i?yiieooieo ?iioeuen?a. Ii??aiyii c a?aeiieie a e?oa?aoo?? aeine?aeaeaiiyie, a yeeo ?icaeyaea?oueny o iaaeeaeai?e oi?i? iaiaiaaeaia o /an? iiaeoeyoe?y i?ia?aeiino?, o aeai?e ?iaio? iaea?aeaii oi/iee ?ica’ycie caaea/? i?i ia?aoai?aiiy iiiio?iiaoe/ii? aeaeo?iiaai?oii? oaee? o na?aaeiaeu?, ae?aeaeo?e/ia i?iieei?noue ? i?ia?aei?noue yei? iiaeoeueiaai? o /an? iaeoieii ne?i/aiii? o?eaaeino? i?yiieooieo ?iioeuen?a, ui iiaoi?ththoueny. Ia aiie?ooaeo ?iioeuen?a oa ?o o?eaae?noue i?e oeueiio ia iaeeaaeaii i?yeeo iaiaaeaiue. Iieacaii, ui iiaeoeyoe?y ia?aiao??a na?aaeiaeua i?ecaiaeeoue aei ooai?aiiy i?yii? oa iaa?iaii? oaeeue, ui iathoue oae? aeanoeaino?: - aaee/eia aiie?ooaee i?yii? oaee? ia ?ioa?aae? niieith ia?aiao??a na?aaeiaeua (eiee ia?aiao?e na?aaeiaeua iathoue ia?aeii? cia/aiiy) caaaeaee a?eueoa ca aiie?ooaeo iaa?iaii? oaee?; - i?e aecia/aieo ni?aa?aeiioaiiyo ia?aiao??a na?aaeiaeua aaee/eie aiie?ooae ye i?yii?, oae ? iaa?iaii? oaeeue ia ?ioa?aaeao niieith ia?aiao??a na?aaeiaeua iiaeooue aooe a?eueoeie ca aiie?ooaeo ia?aeiii? oaee?; - i?e aecia/aieo ni?aa?aeiioaiiyo ia?aiao??a na?aaeiaeua ? /anoioe ia?aeiii? oaee? iaa?iaia oaeey cieea? ia ?ioa?aae? niieith na?aaeiaeua, ui a?aeiia?aea? aecia/aiiio ia??iaeo iiaeoeyoe??; - ci?iaiiy iiaeoe?a aiie?ooae i?yii? oa iaa?iaii? oaeeue, a oaeiae ?o a?aeiioaiiy c? ca?eueoaiiyi /enea ia??iae?a ci?ithaaiiy ia?aiao??a na?aaeiaeua iiaea iaoe ye ia?aaoey?iee, oae ? iiiioiiiee oa?aeoa?. 3. Iiaoaeiaaii /enaeueii-aiae?oe/iee aeai?eoi, ui aeicaiey? iienoaaoe iioe?aiiy aeaeo?iiaai?oieo oaeeue aeia?eueii? oi?ie ye o aaciaaeieo, oae ? o iaiaaeaieo na?aaeiaeuao c aeia?eueiith caeaaei?noth a?ae /ano ae?aeaeo?e/ii? i?iieeiino? ? i?ia?aeiino?. Aeinoia??i?noue io?eiaieo o aeena?oaoe?? ?acoeueoao?a caaacia/o?oueny no?iaith iinoaiiaeith caaea/ oa iaoiae?a, ui aeei?enoiaothoueny aeey ?o ?ica’ycaiiy, a oaeiae ca?aaiiyi o a?aie/ieo aeiaaeeao c ?acoeueoaoaie, a?aeiieie o e?oa?aoo??. NIENIE IIOAE?EIAAIEO I?AOeUe 1. Ia?oo A.A., ?uaei O.H., Ua?aaoei E.B. I?aia?aciaaiea ieineie aieiu iiaoi?ythueieny eiioeueniuie eciaiaieyie ia?aiao?ia aaca?aie/iie c?aaeu // ?aaeeiyeaeo?iieea e eioi?iaoeea. - 1998. - ?1. - C. 28-31. 2. ?uaei O.H., Naoiaiei H.K. I?aia?aciaaiea yeaeo?iiaaieoiiai eiioeuena a?aiaiiui aicaoaeaeaieai n?aaeu a iieoi?ino?ainoaa // ?aaeeiyeaeo?iieea e eioi?iaoeea. - 1998. - ?1. - C. 31-34. 3. Nerukh A.G., Scherbatko I.V., and Rybin O.N. The Direct Numerical of an Integral Volterra Equation for an Electromagnetic Signal in a Time-Varying Dissipative Medium // J. of Electromagnetic Waves and Applications. - 1998. - Vol. 12, ?1. - P. 163-176. 4. Nerukh A.G., Scherbatko I.V., and Rybin O.N. Electromagnetic Radiation of a Nonstationary Point Source in a Inhomogeneous Time-Varying Medium // Proc. of the Second International Conf. on Antenna Theory and Techniques. - Kyiv (Ukraine). - 1997. - P. 29-31. 5. Ia?oo A.A., ?uaei O.H., Ua?aaoei E.B. *eneaiii-aiaeeoe/aneee aeai?eoi ?an/aoa i?aia?aciaaiey yeaeo?iiaaieoiuo neaiaeia a ianoaoeeiia?iie n?aaea // O?oaeu Iaaeaeoia?. eiio. “Iaoiaeu aeene?aoiuo iniaaiiinoae a caaea/ao iaoaiaoe/aneie oeceee” (IAeIICO 97). - Oaiaeiney. - 1997. - C. 219-223. 6. Nerukh A.G., Rybin O.N., and Scherbatko I.V. Computation of the Integral for an Electromagnetic Field in a Time-Varying Semiconductor // Proc. International Congress on Scientific Computation, Modelling and Applied Mathematics. - Berlin (Germany). - 1997. 7. Rybin O., Nerukh A. Transient Electromagnetic Field in a Dissipative Medium With Rectangular Pulse Modulated Parameters // Proc. International Conf. on Mathematical Methods in Electromagnetic Theory. - Kharkov (Ukraine). - 1998. - P. 336-338. 8. Ia?oo A.A., ?uaei O.H., Aeaieniaa E.I. I?aia?aciaaiea yeaeo?iiaaieoiiai neaiaea i?e aunieinei?inoiii ia?aeeth/aiee ia?aiao?ia n?aaeu // O?oaeu 8-ie Iaaeaeoia?. eiio. “NA*-oaoieea e oaeaeiiioieeaoeeiiiua oaoiieiaee” (E?uIeEi 98). - O. 1. - Naaanoiiieue: Aeii ioeoea?ia oeioa. - 1998 - C. 219-223. AIIOAOe?ss ?ea?i I.I. Ianoaoe?iia?i? aeaeo?iiaai?oi? yaeua o aeeneiaoeaiiio ae?aeaeo?eeo c? ci?iieie o /an? ia?aiao?aie. - ?oeiien. Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.04.03 - ?aae?io?ceea. - Oa?e?anueeee aea?aeaaiee oaoi?/iee oi?aa?neoao ?aae?iaeaeo?ii?ee, Oa?e?a, 1998. Ca aeiiiiiaith iaoiaea ?ioaa?aeueieo ??aiyiue iae?ineii?/ii? aeaeo?iaeeiai?ee i?iaaaeaii aiae?oe/ia ? /enaeueia aeine?aeaeaiiy ia?ao?aeieo i?ioean?a, ui iathoue i?noea i?e ?iioeueniiio ci?ithaaii? o /an? ia?aiao??a ianoaoe?iia?iiai na?aaeiaeua, a oaeiae aieea iaae? oeueiai na?aaeiaeua ia oae? i?ioeane. Eeth/ia? neiaa: ?ioaa?aeuei? ??aiyiiy, iae?ineii?/ia aeaeo?iaeeiai?ea, ianoaoe?iia?ia na?aaeiaeua, ci?ithaaiiy o /an?, ia?ao?aei? i?ioeane. AIIIOAOeEss ?uaei O.H. Ianoaoeeiia?iua yeaeo?iiaaieoiua yaeaiey a aeenneiaoeaiii aeeyeaeo?eea n eciaiythueieny ai a?aiaie ia?aiao?aie. - ?oeiienue. Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.03 - ?aaeeioeceea. - Oa?ueeianeee ainoaea?noaaiiue oaoie/aneee oieaa?neoao ?aaeeiyeaeo?iieee, Oa?ueeia, 1998. N iiiiuueth iaoiaea eioaa?aeueiuo o?aaiaiee iae?ineiie/aneie yeaeo?iaeeiaieee i?iaaaeaii aiaeeoe/aneia e /eneaiiia enneaaeiaaiea ia?aoiaeiuo i?ioeannia, eioi?ua eiatho ianoi i?e eiioeueniii eciaiaiee ai a?aiaie ia?aiao?ia ianoaoeeiia?iie n?aaeu, a oaeaea enneaaeiaaii aeeyiea a?aieoeu n?aaeu ia oaeea i?ioeannu. Eeth/aaua neiaa: eioaa?aeueiua o?aaiaiey, iae?ineiie/aneay yeaeo?iaeeiaieea, ianoaoeeiia?iay n?aaea, eciaiaiea ai a?aiaie, ia?aoiaeiua i?ioeannu. ABSTRACT Rybin O.N. Transient electromagnetic phenomena in a dissipative dielectric with time-varying parameters. - Manuscript. Thesis for a candidate’s degree by speciality 01.04.03 - radiophysics. - Kharkov State Technical University of Radioelectronics, Kharkov, 1998. Analitical and numerical investigation of electromagnetic transients in time-varying media is made by an integral equations of macroscopic electrodynamics. Influence of medium boundary on these transients is investigated also. Key words: integral equations, macroscopic electrodynamic, time-varying media, time changing, transient.

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