Дифракція електромагнітних хвиль на напівнескінчених періодичних структурах: Автореф. дис… канд. фіз-мат. наук / Д.Л. Литвиненко, Харк. держ. ун-т.

OA?E?ANUeEEE AeA?AEAAIEE OI?AA?NEOAO

Eeoaeiaiei Aeieo?i Eaii?aeiae/

OAeE 517.392; 621.372.85

AeEO?AEOe?ss AEAEO?IIAAI?OIEO OAEEUe IA IAI?AIANE?I*AIIEO IA??IAeE*IEO
NO?OEOO?AO

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 ?aae?iano?iiii?/iiio ?inoeooo? IAI Oe?a?ie

Iaoeiaee ea??aiee Aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? I?ina??i?i
Na?a?e Eaii?aeiae/,

?aae?iano?iiii?/iee ?inoeooo IAI Oe?a?ie,

caa?aeoaa/ a?aeae?eo

Io?oe?ei? iiiiaioe: Aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Oeaeiye
Ieeiea Aioiiiae/,

IIOe «Oa?e?anueeee o?ceei-oaoi?/iee ?inoeooo» caa?aeoaa/ a?aeae?eo

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?aeoaa/ a?aeae?eo

I?ia?aeia onoaiiaa: Oa?e?anueeee oaoi?/iee oi?aa?neoao
?aae?iaeaeo?ii?ee, eaoaae?a i?e?iaeaeo?ii?ee, aeaeo?iiieo i?eeaae?a oa
i?eno?i?a.

Caoeno a?aeaoaeaoueny 11 a?oaeiy 1998?. i 14 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.051.02 Oa?e?anueeiai aea?aeaaiiai
oi?aa?neoaoo (310027, i.Oa?e?a, ie.Naiaiaee,4, aoae.3-9).

Aaoi?aoa?ao ?ic?neaiee 11 eenoiiaaea 1998 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee *aaioa?ueia A.?.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeine?aeaeaiiy, iaoiaee oa ?acoeueoaoe, cai?iiiiiaai? a aeena?oaoe?ei?e
?iaio?, u?eueii i?eieeathoue aei aeaio o?aaeeoe?eieo iai?yie?a no/anii?
?aae?io?ceee: oai??? oa?oaaoeo na?aaeiaeu oa oai??? ia??iaee/ieo
no?oeoo?. Iaeaeaa iai?yiee iathoue iaa?? iiooaeieo oa aoaeoeaieo
iaoiae?a aiae?oe/iiai ? /enaeueiiai ?ica’ycaiiy a?aeiia?aeieo
aeaeo?iaeeiai?/ieo caaea/, ye? aeicaieythoue iaea?aeaoe ooiaeaiaioaeuei?
o?ce/i? ?acoeueoaoe.

Oey oaiaoeea aeineoue ?aoaeueii ?icaeyaeaeany ii/eiath/e c na?aaeeie
i’yoeaeanyoeo ?ie?a. I?ioa i?aeoe/ii any iiaoaeiaaia oai??y oa
iaea?aeai? ?acoeueoaoe aoee canoiniaai? o aeiaaeeo iane?i/aii?
ia??iaee/ii? no?oeoo?e. A oeueiio aeiaaeeo iniaeeaee nain oa cia/aiiy
ia? iaa?oioiaaia ioe?iea iiaeeeaino? ia?aianaiiy ?acoeueoao?a oai???
aeey iane?i/aieo ia??iaee/ieo no?oeoo? ia aeiaaeie iaiaaeaii?
ia??iaee/ii? no?oeoo?e. Aacoiiaii, a iaaeao aenia?eiaioaeueieo iaoiae?a
iiae?ai? ioe?iee ?niothoue, aea aiie ia iiaeooue iaoe oi?aa?naeueiiai
oa?aeoa?o.

A aeai?e aeena?oaoe?? cai?iiiiiaaii ?icaeiaiiy oai???, ui noino?oueny
no?oeoo? oa na?aaeiaeu, caaaeaieo aeua ia aeiaaeie, eiee aiie ?
iai?aiane?i/aieie. Oai??y iai?aiane?i/aieo ia??iaee/ieo no?oeoo? ia
aeaiee /an ?icaeiooa cia/ii neaaoa, i?ae oai??y iaiaiaaeaieo
ia??iaee/ieo no?oeoo? oa no?oeoo?, ui neeaaeathoueny c iaiaaeaii?
e?eueeino? aeaiaio?a. A iniia? cai?iiiiiaaii? oai??? eaaeaoue o?e
aieiaieo iiiaioe. Ii-ia?oa, nooo?ai aeei?enoiao?oueny nai???aeia
neiao??y iai?aiane?i/aieo no?oeoo?, ui aeine?aeaeothoueny. Ii-ae?oaa, c
aeei?enoaiiyi iia?aoi?iiai iaoiaeo ?aae?co?oueny iaeei c aa??aio?a
iaoiaeo iai?aiaa?iaiiy. ? ii-o?ao?, a ?iaio? aeei?enoiao?oueny
eiioeaioe?y aeanieo oaeeue aiaeia?/ii? ia??iaee/ii? no?oeoo?e aeey
aiae?co oa?aeoa?enoee iiey, ?icn?yiiai iai?aiane?i/aiith no?oeoo?ith,
oa iiaoaeiaa a?aeiia?aeiei iia?aoi?iei iaoiaeii oai??? aeeo?aeoe?? ia
e?ioeaa?e e?eueeino? oa??a-ae?ai?a.

Aeooaeuei?noue oaie

Aeaeo?iaeeiai?ea oa?oaaoeo na?aaeiaeu — oea iaeei c iniiaieo
?ino?oiaio?a aeine?aeaeaiiy caeiiii??iinoae ?iciianthaeaeaiiy
aeaeo?iiaai?oieo oaeeue o i?e?iaeieo oiiaao. I?e oeueiio i?aeoeea
noaaeoue ia?aae oai???th caaea/?, neeaaei?noue yeeo ana c?inoa?. Oey
oiiaa iia’ycaia ye c aeei?enoaiiyi aeey i?eeeaaeieo oe?eae aeeeth/ii
oe?ieiai ae?aiaciio oaeeue (a?ae iioeee aei iaaeiecueeeo /anoio), oae ?
c ??ciiiai?oi?noth aeanoeainoae na?aaeiaeu ?iciianthaeaeaiiy. Inoaii?i
/anii ?ioa?an aei oeueiai iai?yieo iia’ycaiee c i?ia?anii o ?ica’ycaii?
i?iaeai aeenoaioe?eiiai ciiaeoaaiiy Caie? ? aeecueei? aei ia? a iaaiiio
nain? i?iaeaiith ia?oeioth/iai eiio?ieth.

Oai??y oa?oaaoeo na?aaeiaeu ciaoiaeeoue oe?iea aeei?enoaiiy i?e
o?ce/iiio aiae?c? i?eioeei?a ?iaioe ? eiino?othaaiiy naieo ??ciiiai?oieo
ooieoe?iiaeueieo aeaiaio?a ?aae?io?ce/ieo nenoai: aeaeo?iiieo
aaia?aoi??a, i?aeneethth/eo i?eeaae?a, aioai.

Ia aeeaey/enue ia aaeeeo e?euee?noue i?aeoiae?a oa /enaeueii-aiae?oe/ieo
aeai?eoi?a aeey aea/aiiy aeanoeainoae ia??iaee/ieo no?oeoo?, ne?ae
i?aee?aneeoe, ui i?aeoe/ii any oai??y aoaeoeaia a ?ac? iaiaiaaeaii?
ia??iaee/ii? no?oeoo?e. Aaeeea cia/aiiy ia? iaa?oioiaaia ioe?iea
iiaeeeaino? ia?aianaiiy ?acoeueoao?a oai??? aeey iaiaiaaeaii?
ia??iaee/ii? no?oeoo?e ia aeiaaeie iaiaaeaii?, ca?ac aaea o eaieao,
«ia??iaee/ii?» no?oeoo?e. Aeena?oaoe?y ae??oo? aaaaoi aniaeo?a oeueiai
ieoaiiy.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie

?acoeueoaoe aeena?oaoe?eii? ?iaioe oa?eoee aei ca?oo ii
aea?aeathaeaeaoi?e IAe? «Oa?a» (1993-1995 ??.), ? aea?ae. ?a?no?aoe??
0913V035237.

Iaoa ? caaea/? aeena?oaoe?eii? ?iaioe

Iaoa aeena?oaoe?? iieyaa? a iiaoaeia? no?iai? oai??? aeeo?aeoe??
aeaeo?iiaai?oieo oaeeue ia iai?aiane?i/ai?e iine?aeiaiino? ?aeaioe/ieo
ieineeo ae?ai?a — ia?aoeiae, ui ?icoaoiaai? ia ??aieo a?aenoaiyo
(iai?aiane?i/aia ia??iaee/ia no?oeoo?a); a aiae?c? oa?aeoa?enoee
a?aeaeoiai oaeith no?oeoo?ith aeaeo?iiaai?oiiai iiey.

A?aeiia?aeii aei iinoaaeaii? iaoe caaea/? ?iaioe ? oaeeie:

Ei?enooth/enue nai???aeiith neiao???th iai?aiane?i/aieo no?oeoo?; a naia
, oei, ui a?aeeeaeaiiy iaeiiai /e e?eueeio aeaiaio?a, ui ciaoiaeyoueny
ia e?ath, ia ci?ith? aeanoeainoae no?oeoo?e, iaiao?aeii noai?eoe
aeai?eoi ciaoiaeaeaiiy iia?aoi??a i?ioiaeaeaiiy oa a?aeaeooy
aeaeo?iiaai?oieo oaeeue aeey oaeeo no?oeoo?.

?ica’ycaoe caaea/o ciaoiaeaeaiiy a?aeaeooy oa i?ioiaeaeaiiy aeey
no?oeoo? c iaiaaeaiith e?euee?noth oa??a, ei?enooth/enue ?ica’ycaiiyi
caaea/? i?i a?aeaeooy oaeeue a?ae iai?aiane?i/aii? no?oeoo?e.

Iaoeiaa iiaecia

A ?iaio? io?eiaii ianooii? ?acoeueoaoe, ye? i?aaenoaaeythoue iaoeiao
iiaecio:

Iiaoaeiaaii iiaee iaoiae aeey aeine?aeaeaiiy oe?ieiai eeano
iai?aiaiaaeaieo «ia??iaee/ieo» no?oeoo?;

2. Iiaoaeiaaia no?iaa oai??y aeeo?aeoe?? oaeeue ia «ia??iaee/ieo»
ae?aiao, ui iathoue iaiaaeaio e?euee?noue oa??a, yea o ii??aiyii? c
?nioth/eie oai??yie iniaeeai aoaeoeaia o aeiaaeeo aaeeei? e?eueeino?
oa??a;

3. Aia?oa aeine?aeaeai? oa?aeoa?i? iniaeeaino? aca?iiae??
iai?aiaiaaeaieo no?oeoo? c iieai, ui iaaea?, ciaeaeaii ca’ycie
/anoioieo caeaaeiinoae aiie?ooaee a?aeaeoiai iiey c? caoaeaeaiiyi
aeaniiai ?aaeeio a?aeiia?aeii? iaiaiaaeaii? ia??iaee/ii? iine?aeiaiino?.

I?aeoe/ia cia/aiiy io?eiaieo ?acoeueoao?a aecia/a?oueny:

?ic?iaeith no?iaiai iaoiaeo ?ica’ycaiiy caaea/? aeeo?aeoe?? oaeeue ia
iai?aiaiaaeai?e iine?aeiaiino? ae?ai?a — ia?aoeiae. Iaiao?aeii
i?aee?aneeoe e?eueea iiiaio?a. Naia ii nia? iai?aiaiaaeaia no?oeoo?a,
iniaeeai i?e iayaiino? iiaeeiaiiy a ?? aeaiaioao, ? aeia?ith iiaeaeeth
no?oeoo?e c aaeeeith iaiaaeaiith e?euee?noth i?ioa?e?a.

Iiaeeea?noth aeaoe a?aeiia?aeue ia ieoaiiy i?i ?ieue e?aeiaeo aoaeo?a o
?aae?io?ce/ieo i?eeaaeao, aea ia??iaee/ia no?oeoo?a ? ooieoe?iiaeueiei
aeaiaioii.

Iiaeeea?noth aeyaeoe ?yae niaoeeo?/ieo aoaeo?a, ye? iathoue aaaeeeaa
cia/aiiy: ??ce? iiey?ecaoe?ei? ci?ie a?aeaeoiai iiey o aocuee?e cii?
ci?ie /anoioe.

?ic?iaeith i?aeoiaeo aei ciaoiaeaeaiiy ia?aiao??a ooo/ieo ae?aeaeo?ee?a
? o.ae.

Iniaenoee aianie caeiaoaa/a

Iinoaiiaea caaea/ oa aea?? iaoiaeo ?o ?ica’ycaiiy.

?ic?iaea aeai?eoi?a /enaeueiiai ?ica’ycaiiy caaea/ aeeo?aeoe?? ia
no?oeoo?ao, ui aeine?aeaeoaaeenue.

I?iaaaeaiiy /enaeueieo aeine?aeaeaiue oa ?o o?ce/ia ?ioa?i?aoaoe?y.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??

?acoeueoaoe aeena?oaoe?eii? ?iaioe i?ieoee ai?iaaoe?th ia eiioa?aioe?yo:

Vth International Conference on Mathematical Methods in Electromagnetic
Theory, Kharkiv, 1994, Ukraine.

VIth International Conference on Mathematical Methods in
Electromagnetic Theory, Lviv, 1996, Ukraine.

VIIth International Conference on Mathematical Methods in
Electromagnetic Theory, Kharkiv, 1998, Ukraine.

Ioae?eaoe??

Iaoa??aee aeena?oaoe?eii? ?iaioe aeeeaaeaii o ainueie iaoeiaeo i?aoeyo.
C ieo 4 noaoo? o iaoeiaeo aeo?iaeao, 3 — a iaoa??aeao i?aeia?iaeieo
eiioa?aioe?e, iaeei i?ai?eio.

Aeinoia??i?noue io?eiaieo a ?iaioi ?acoeueoaoia, iieiaeaiue, aeniiae?a
oa ?aeiiaiaeaoe?e caaacia/o?oueny no?ia?noth iinoaiiaee
aeaeo?iaeeiai?/ieo caaea/, aeei?enoaiiyi iaa?oioiaaieo iaoaiaoe/ieo
iaoiae?a ?ica’ycaiiy, oa i?aeoaa?aeaeothoueny aaeaeaaoi?noth o?ce/ieo
?acoeueoao?a. O iecoe? aeiaaee?a a??ia?aei?noue io?eiaieo ??oaiue
caaacia/o?oueny ia?aa??eith oi/iino? caniaaie naii? oai??? — aeeiiaiiyi
caeiio caa?aaeaiiy aia?a??, ioe?ieith ca?aeiino? /enaeueieo ?oa?aoe?e,
ci?iith ii?yaeeo ?aaeoeoe?? iao?eoeue ? o.ae. A oeo aeiaaeeao, eiee oea
iiaeeeai, ii??aithaaeenue ?acoeueoaoe io?eiai? ??cieie iaoiaeaie.

No?oeoo?a oa ia’?i aeena?oaoe??

Aeena?oaoe?y neeaaea?oueny ?c anooio, o?ueio ?icae?e?a, caeeth/aiiy oa
nieneo e?oa?aoo?e. Iiaiee ianya aeena?oaoe?? neeaaea? noi??iie
( iaethie?a — noi?., oaaeeoeue —
noi?., nienie oeeoiaaii? e?oa?aoo?e — noi?.,
iaeiaioaaiue, iniiaia /anoeia noi?.).

INIIAIEE CI?NO

O anooi? iaa?oioiaaia aeooaeuei?noue oaie aeena?oaoe??, noi?ioeueiaaia
iaoa ?iaioe, aeeeaaeaii ?? ci?no, iaaaaeai? iniiai? iieiaeaiiy oa
?acoeueoaoe, ui aeiinyoueny aei caoenoo.

Ia?oee ?icae?e i?enay/aii aeeeaaeaiith oai??? aeeo?aeoe??
aeaeo?iiaai?oieo oaeeue ia iai?aiane?i/ai?e «ia??iaee/i?e»
iine?aeiaiino? ae?ai?a o iaei?ino?oiio, oae caaiiio, iaeiioaeeueiaiio
?aaeei?. A oeueiio aeiaaeeo aeaiaioa?ia ia?aoeiaea — ieineiia?aeaeueiee
oa? ae?aeaeo?eea — iiaeia ioa?aeoa?ecoaaoe eiiieaenieie eiao?oe??ioaie
a?aeaeooy oa i?ioiaeaeaiiy. Cnoaia neiao??y oaei? iine?aeiaiino?
aeicaiey? aaaaeaoe, ui eiao?oe??io a?aeaeooy no?oeoo?e ia ci?ith?oueny,
yeui a?aeeeiooe ?? ia?oee aeaiaio. Oey aeanoea?noue aeicaiey? c
a?aooaaiiyi ia?aa?aeaeooy iie?a a i?ii?aeeo i?ae ia?oei ae?aiii ?
iane?i/aiie /anoeiith iine?aeiaiino? io?eiaoe aeey iiooeo eiao?oe??ioa
a?aeaeooy a?ae an??? no?oeoo?e eaaae?aoia ??aiyiiy, ui iia’yco? oeae
eiao?oe??io c a?aeiieie eiao?oe??ioaie a?aeaeooy oa i?ioiaeaeaiiy
ie?aiiai ae?aio.

A ae?oaiio ?icae?e? aeeeaaeaii ocaaaeueiaiiy ?icaeiooi? oai??? ia
aeiaaeie, eiee aeaiaioii iai?aiane?i/aii? iine?aeiaiino? ? ieineee ae?ai
o aeaeyae? ia??iaee/ii? a?aoee ?c iane?i/aiii oiieeo ?aeaaeueii
i?ia?aeieo no??/ie. Oaeee ae?ai oa?aeoa?eco?oueny ia eiao?oe??ioaie
i?ioiaeaeaiiy oa a?aeaeooy, a iane?i/aieie iao?e/ieie iia?aoi?aie. Aeey
ciaoiaeaeaiiy oeueiai iia?aoi?a cai?noue eaaae?aoiiai ??aiyiiy
iaiao?aeii aeei?enoiaoaaoe iae?i?eia iia?aoi?ia ??aiyiiy ae?oaiai ?iaeo.
Iaa?oioiaaii ?nioaaiiy ?aeeiiai ?ica’yceo caaea/?.

A oeueiio ae ?icae?e? ?icaeyiooa caaea/a i?i c’?aeiaiiy ?aaoey?iiai oa
ia??iaee/ii iaaaioaaeaiiai oaeeaaiaeo, iaaiai?ai? iiaeeeaino?
i?aeoe/iiai aeei?enoaiiy iaea?aeaieo ?acoeueoao?a.

A o?aoueiio ?icae?e? oai??y, ui cai?iiiiiaaia, ocaaaeueith?oueny ia
aeiaaeie, eiee eiaeai ae?ai iai?aiane?i/aii? iine?aeiaiino?
oa?aeoa?eco?oueny ?ioaa?aeueiei iia?aoi?ii ?icn?thaaiiy, a iiey,
aeeo?aaiaai? ia iaeiiio ae?ai?, ui a?aeaeeenue oa i?ieoee, iathoue
eiioeioaeueiee i?inoi?iaee niaeo?. Ia’?eoii aeine?aeaeaiiy ? aeanoeaino?
iai?aiane?i/aii? ?ao?oee, aea eiaeai ae?ai — oea ieinea iane?i/aiii
oiiea no??/ea, ui ?aeaaeueii i?iaiaeeoue oa iaiaiaaeaia a iai?yieo ??
oa??ieo.

Caaea/a ?ica’ycaia iaoiaeii iiiaio?a c aacenieie ooieoe?yie, ui
a?aoiaothoue iniaenoino? iiaaae?iee iiaa?oiaaiai no?oio iiaeeco ?aaa?
no??/ie. I?e oeueiio cae?eniaii iaa?iaiiy noaoe/ii? /anoeie iia?aoi?a, ?
caaea/o caaaeaii aei iane?i/aii? nenoaie e?i?eieo aeaaa?a?/ieo ??aiyiue
ae?oaiai ?iaeo o?aaeaieueiiaiai oeio.

A Caeeth/aii? aeeeaaeaii iniiai? ?acoeueoaoe ?iaioe. Iaaaaeai? ei?ioe?
aeniiaee ?iaioe ? iaaiai?ththoueny ia?niaeoeae iiaeaeueoeo
aeine?aeaeaiue a oeueiio iai?yieo oai?aoe/ii? ?aae?io?ceee.

Aeniiaee

1. Iiaoaeiaaia oai??y aeeo?aeoe?? oaeeue ia iai?aiane?i/ai?e
iine?aeiaiino? ae?aeaeo?e/ieo ae?ai?a, ui ?icoaoiaai? ia ??aieo
a?aenoaiyo. Eiao?oe??ioe a?aeaeooy oa i?ioiaeaeaiiy aeey ie?aii acyoiai
ae?aio ciaoiaeyoueny iiia?aaeiuei, ye ?ica’ycie eeth/iai? caaea/?. A
?aieao oe??? oai??? iieacaii, ui , eiao?oe??io a?aeaeooy a?ae
iai?aiane?i/aiii? iine?aeiaiino? caaeiaieueiy? eaaae?aoiiio ??aiyiith,
ui iieno? ca’ycie i?ae eiao?oe??ioii, ui ooea?oueny, oa a?aeiieie
ei?o?oe??ioaie a?aeaeooy ? i?ioiaeaeaiiy ie?aiiai ae?aio; ciaeaeaii
aiae?oe/iee ae?ac aeey eiao?oe??ioa aei?ii?ithaaiiy c iai?aiane?i/aii?
iine?aeiaiino? /a?ac eiao?oe??io a?aeaeooy a?ae oaei? no?oeoo?e;
iieacaii, ui /anoioia caeaaei?noue eiao?oe??ioa a?aeaeooy a?ae oa?oaaoi?
no?oeoo?e aecia/a?oueny aeenia?n??th aeanieo oaeeue aiaeia?/ii?
iane?i/aii? ia??iaee/ii? iine?aeiaiino? ae?ai?a.

2. Ia iniia? aiae?co /enaeueieo ?acoeueoao?a, aeneiaeaii oaa?aeaeaiiy,
ui eiao?oe??io a?aeaeooy a?ae oa?oaaoiai iai?ai?inoi?o i?e iayaiino?
ao?ao o ae?aeaeo?eeo iaei a?ae??ciy?oueny a?ae eiao?oe??ioa a?aeaeooy
no?oeoo?e c aaeeeith ne?i/aiith e?euee?noth oaeeo naieo ae?aeaeo?e/ieo
oa??a.

3. Cae?eniaii ocaaaeueiaiiy oai??? aeeo?aeoe?? aeaeo?iiaai?oieo oaeeue
ia iai?aiane?i/ai?e iine?aeiaiino? ?aeaioe/ieo ae?ai?a ia aeiaaeie,
eiee iai?ai?ici?ee ae?ai ? ieineith ia??iaee/iith a?aoeith ?c no??/ie.
Aeine?aeaeaiiy oa?aeoa?enoee iiey, ?icn?yiiai oaeith no?oeoo?ith
i?iaaaeaii aeey iaeiioaeeueiaiai oa aaaaoioaeeueiaiai ?aaeei?a.
Iieacaii, ui ?niothoue aocuee? /anoioi? iaeano?, aea iiey?ecaoe?ei?
oa?aeoa?enoeee a?aeaeoiai iiey ??cei ci?iththoueny i?e iae?e ci?i?
/anoioe.

4. Aeine?aeaeai? aeenia?n?ei? oa?aeoa?enoeee a?aeaeoiai iiey, ia noeeo
?aaoey?iiai oa ia??iaee/ii iaaaioaaeaiiai oaeeaaiae?a. I?iaiae?ciaai?
caeaaeiino? nioa caie?aiiy a?ae ia?aiao??a caaea/?.

5. C?iaeaii ocaaaeueiaiiy oai??? aeeo?aeoe?? ia iai?aiane?i/ai?e
iine?aeiaiino? ieineeo ae?ai?a, aeeiiaieo ?c no??/ie. Iaea?aeaii
?ica’ycie eeth/iai? caaea/? i?i aeeo?aeoe?th aeaeo?iiaai?oii? oaee? ia
ieine?e iane?i/aiii oiie?e ?aeaaeueii i?ia?aei?e no??/oe? ,
iaiaiaaeai?e o iai?yieo ?? ooai?thth/eo.

Iniiai? iaoeia? iieiaeaiiy, ui aeiinyoueny ia caoeno

Oai??y aeeo?aeoe?? aeaeo?iiaai?oieo oaeeue ia iai?aiane?i/ai?e
iine?aeiaiino? ?aeaioe/ieo ae?ai?a — ia?aoeiae, ui ciaoiaeyoueny ia
??aieo a?aenoaiyo, yea iiaoaeiaaia iaoiaeii iai?aiaa?iaiiy iia?aoi?a
caaea/? c aeei?enoaiiyi cnoaii? neiao??? no?oeoo?e, ui
aeine?aeaeo?oueny.

A ?aieao oe??? oai???:

iieacaii, ui iia?aoi? a?aeaeooy a?ae iai?aiane?i/aii? no?oeoo?e iiaeia
ciaeoe c iae?i?eiiai iia?aoi?iiai ??aiyiiy ae?oaiai ?iaeo;

ciaeaeaii i?aaenoaaeaiiy aeey iia?aoi?a aei?ii?ithaaiiy c
iai?aiane?i/aii? no?oeoo?e /a?ac iia?aoi? a?aeaeooy a?ae oaei?
no?oeoo?e;

iieacaii, ui caeaaei?noue aiie?ooae i?inoi?iaeo aa?iii?e a?aeaeoiai iiey
a?ae /anoioe oa aaiiao?e/ieo ia?aiao??a iai?aiane?i/aii? iine?aeiaiino?
nooo?ai iaoiiaeth?oueny aeenia?n??th aeanieo oaeeue aiaeia?/ii?
iane?i/aii? ia??iaee/ii? iine?aeiaiino?, aeine?aeaeaia no?oeoo?a aeanieo
oaeeue.

Oai??y aeeo?aeoe?? aeaeo?iiaai?oieo oaeeue ia ia??iaee/i?e
iine?aeiaiino? iaiaaeaii? e?eueeino? aeaiaio?a, a ye?e ca ?ica’ycie
eeth/iai? caaea/? aeei?enoiao?oueny ?ica’ycie caaea/? i?i a?aeaeooy
oaeeue a?ae iai?aiane?i/aii? no?oeoo?e oa aei?ii?ithaaiiy c ia?
a?aeiia?aeii? aeanii? oaee?.

Iiaee iaoiae ciaoiaeaeaiiy ia?aiao??a ooo/ieo ae?aeaeo?ee?a, ui
aaco?oueny ia aeei?enoaii? eiao?oe??ioa a?aeaeooy a?ae «ooo/iiai»
(oa?oaaoiai) iai?ai?inoi?o.

Oaa?aeaeaiiy, ui io?eiaii ia aac? aiae?co /enaeueieo ?acoeueoao?a, i?i
oa, ui iia?aoi? a?aeaeooy a?ae i?ai?inoi?o iiaeia aeei?enoiaoaaoe aeey
iieno a?aeaeooy a?ae no?oeoo?e c aaeeeith iaiaaeaiith e?euee?noth oa??a.

Iniiai? ?acoeueoaoe aeena?oaoe?? aeeeaaeaii a ?iaioao

N.I. Ai?iaueaa, Ae.E. Eeoaeiaiei, «Aeeo?aeoeey yeaeo?iiaaieoiuo aiei ia
oiieie iaoaeee/aneie eaioa, i?iecaieueii i?eaioe?iaaiiie ioiineoaeueii
ieineie a?aieoeu ?acaeaea aeaoo iaaieoiaeeyeaeo?eeia», Aeiee. AI OCC?,
na?. A, 1990, ? 12, no?. 38-42.

E.I. Eeoaeiaiei, ?.?. ?aciee, Ae.E. Eeoaeiaiei, «Aeeo?aeoe?y oaeeue ia
iai?ane?i/aiieo ia??iaee/ieo no?oeoo?ao», Aeiiia?ae? AI Oe?a?inueei?
?N?, 1991, ? 6, no?.62-66.

Ae.E. Eeoaeiaiei, E.I. Eeoaeiaiei, N.E. I?inae?iei, E.E. ?aciee,
«?annayiea yeaeo?iiaaieoiuo aiei ia aeene?aoiuo iieoaaneiia/iuo
no?oeoo?ao», ?aaeeioaoieea, 1996, no?. 9-18.

Ae.E. Eeoaeiaiei, E.I. Eeoaeiaiei, N.E. I?inae?iei, «Iaoiae aiaeeca
aeeo?aeoeee aiei ia iiiaineieiuo ia?eiaee/aneeo no?oeoo?ao»,
?aaeeioeceea e ?aaeeiano?iiiiey, 1997, oii 2, ? 4, no?, 12-23.

Ae.E. Eeoaeiaiei, E.I. Eeoaeiaiei, E.E. ?aciee, « Aeeo?aeoeey aiei ia
iieoaaneiia/iie iineaaeiaaoaeueiinoe iieoi?ic?a/iuo ye?aiia», I?ai?eio ?
65, ?EAI Oe?aeiu, 1993.

V.B. Kazanskiy, D.L. Litvinenko and L.N. Litvinenko, «Guided wave
reflection from a joint between the regular and iris waveguides», //
Abstracts book of the Vth International Conference on Mathematical
Methods in Electromagnetic Theory, Kharkiv, 1994, Ukraine.

D. Litvinenko, L. Litvinenko, S. Prosvirnin, I. Reznik, «Wave
Diffraction by Semi-Infinite of Partially Transmitted Layers», //
Abstracts book of the VIth International Conference on Mathematical
Methods in Electromagnetic Theory, Lviv, 1996, Ukraine.

S.N. Vorobiov and D.L. Litvinenko, «Electromagnetic wave scattering by
semi-infinite grating consisting of metal strips placed in
magnetic-dielectric half space»,// Abstracts book of the VIIth
International Conference on Mathematical Methods in Electromagnetic
Theory, Kharkiv, 1998, Ukraine.

AIIOAOe??

Eeoaeiaiei Ae.E. Aeeo?aeoe?y aeaeo?iiaai?oieo oaeeue ia iai?aiane?i/aieo
ia??iaee/ieo no?oeoo?ao. — ?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 oi?aa?neoao, Oa?e?a, 1998.

A aeena?oaoe?? ?icaeyiooi caaea/? aeeo?aeoe?? oaeeue ia iai?aiane?i/ai?e
iine?aeiaiino? ?aeaioe/ieo ia?aoeiae, ui ciaoiaeyoueny ia ??aieo
a?aenoaiyo (ae?aeaeo?e/i? oa?e, no??/eia? a?aoee ? o.ae.). Cai?iiiiiaaii
/enaeueiee iaoiae /anoeiaiai iaa?iaiiy iia?aoi?o caaea/?: a
iai?aiane?i/ai?e ia?aoeiae? a?aeie?aieth?oueny i?inoa neeaaeiaa /anoeia
c a?aeiiei iia?aoi?ii ?icn?thaaiiy, a iiaiee iia?aoi?, ui ooea?oueny,
aoaeo?oueny c aeei?enoaiiyi niaoeeo?/ii? iai?aiane?i/aiii? no?oeoo?e ia
iniia? a?aeiiiai iia?aoi?a, a?aoiaoth/e aca?iiae?th oaeeue, ?icn?yieo
neeaaeiaeie /anoeiaie ia?aoeiaee.

Eeth/ia? neiaa: aeeo?aeoe?y oaeeue, iai?aiane?i/aia no?oeoo?a,
aiie?ooaee i?inoi?iaeo aa?iii?e, eiioeioaeueiee niaeo?, iia?aoi?iee
iaoiae, ne?i/aia no?oeoo?a.

Eeoaeiaiei Ae. E. Aeeo?aeoeey yeaeo?iiaaieoiuo aiei ia iieoaaneiia/iuo
ia?eiaee/aneeo no?oeoo?ao. — ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.03 — ?aaeeioeceea. —
Oa?ueeianeee ainoaea?noaaiiue oieaa?neoao, Oa?ueeia, 1998.

A aeenna?oaoeee ?anniio?aiu caaea/e aeeo?aeoeee aiei ia iieoaaneiia/iie
iineaaeiaaoaeueiinoe ?aaiiionoiyueo eaeaioe/iuo i?aiyonoaee
(aeeyeaeo?e/aneea neie, eaioi/iua ?aoaoee e o.ae.). I?aaeeiaeai
/eneaiii-aiaeeoe/aneee iaoiae ?aoaiey, iniiaaiiue ia eniieueciaaiee
/anoe/iiai ia?auaiey iia?aoi?a caaea/e. A iieoaaneiia/iie no?oeoo?a
auaeaeaia i?inoay ninoaaiay /anoue, aeey eioi?ie ecaanoai iia?aoi?
?annayiey (ia?aoiue iia?aoi? niioaaonoaothuee e?aaaie caaea/a).

I?iaaaeai aiaeec oa?aeoa?enoee ?annayiiiai yeaeo?iiaaieoiiai iiey.

Iino?iaii iiaia ?aoaiea caaea/e aeeo?aeoeee aiei ia nenoaia ec eiia/iiai
/enea eaeaioe/iuo neiaa, iniiao eioi?iai ninoaaeyao eniieueciaaiea
iia?aoi?a io?aaeaiey niioaaonoaothuae iieoaaneiia/iie no?oeoo?u.

Eeth/aaua neiaa: aeeo?aeoeey aiei, iieoaaneiia/iay no?oeoo?a, aiieeooaea
i?ino?ainoaaiiie aa?iiieee, eiioeioaeueiue niaeo?, iia?aoi?iue iaoiae,
eiia/iay no?oeoo?a.

Litvinenko D.L. Electromagnetic wave diffraction on semiinfinite
periodical structures. — Manuscript.

The thesis advanced to a scientific degree of candidate of physics and
mathematics in the speciality 01.04.03 — radiophysics. — Kharkiv State
University, Kharkiv, 1998.

In the thesis the problems of wave diffraction on semiinfinite succeeded
equidistant identical obstacles (dielectric layers, strip gratings,
ets.) are considered. Suggested is a numerical and analytical method of
solution based on the idea of partial rotation of problem operator, i.e.
a simple component of the semiinfinite obstacle is taken with the known
scattering operator and the unknown full operator is constructed with
the use of specific symmetry for the semiinfinite structure on the basis
of the known operator with regard for interaction of waves scattered by
the obstacle components.

Key words: wave diffraction, semiinfinite structure, amplitude of space
garmonics, continuum’s spectrum, operator’s method, semiinfinite
structure.

A?aeiia?aeaeueiee ca aeione A.TH. Oeoa?aiei

I?aeienaii aei ae?oeo

ia’?i 1 ae?n.ae.e.

Caeac N . Oe?aae 100. Aacieaoii

?ioai?eio ??A IAI Oe?a?ie

Oa?e?a-85, aoe. Ae. I?ineo?e, 12.

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