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Колективні ефекти при розсіянні світла випадковими системами розсіювачів: Автореф. дис… канд. фіз.-мат. наук / П.В. Литвинов, Харк. держ. ун-т. — Х.

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I?I?NOA?NOAI INA?OE OE?A?IE

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

Eeoaeiia Iaaei Aaneeueiae/

OAeE 535.36

EIEAEOEAI? AOAEOE I?E ?ICN?ssII? NA?OEA

AEIAAeEIAEIE NENOAIAIE ?ICN?THAA*?A

01.04.05 – iioeea, eaca?ia o?ceea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Oa?e?a – 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia o Oa?e?anueeiio aea?aeaaiiio oi?aa?neoao?

I?i?noa?noai ina?oe Oe?a?ie

Iaoeiaee ea??aiee: eaiaeeaeao o?ceei – iaoaiaoe/ieo iaoe, noa?oee
iaoeiaee

ni?a?ia?oiee Oeoeiaaoeue A?eoi? Iaaeiae/

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

Ieeineaanueeee Aieiaeeie? Einoyioeiiae/, caa?aeoaa/

eaoaae?e o?ce/ii? iioeee Oa?e?anueeiai aea?aeaaiiai oi?aa?neoaoo;

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

ssiiaeoeueeee Aaeaa?ae A?eai?iae/, caa?aeoaa/ eaai?aoi???

Aieiaii? ano?iiii?/ii? iana?aaoi??? IAI Oe?a?ie;

I?ia?aeia onoaiiaa: O?ceei-oaoi?/iee ?inoeooo iecueeeo oaiia?aoo?

?i. A.?. A??e?ia IAI Oe?a?ie; a?aeae?e iioe/ieo oa

iaai?oieo aeanoeainoae oaa?aeeo o?e, i. Oa?e?a.

Caoeno a?aeaoaeaoueny “11“ ethoiai   2000 ?. i 16 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 64.051.03 o Oa?e?anueeiio aea?aeaaiiio
oi?aa?neoao? (310077, i. Oa?e?a-77, iaeaeai Naiaiaee, 4, aoae.
?i. E.Ae. Neiaeueieeiaa).

C aeena?oaoe??th iiaeia iciaeiieoeny o Oeaio?aeuei?e iaoeia?e
a?ae?ioaoe? Oa?e?anueeiai aea?aeaaiiai oi?aa?neoaoo ca aae?anith:
310077, i. Oa?e?a-77, iaeaeai Naiaiaee, 4.

Aaoi?aoa?ao ?ic?neaiee “10“ n?/iy 2000 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Iieaea A. I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

) iai?yieao iiaeeeaa ?ioa?oa?aioe?y oaeeue, ui ia iieno?oueny oai???th
ia?aiino aei?ii?ithaaiiy.

Aeey aaaaoueio caaea/ aeenoaioe?eiiai ciiaeoaaiiy ?icn?thth/eo
na?aaeiaeu, oaeeo ye iioe/i? aeine?aeaeaiiy eiei?aeieo ?ic/ei?a,
aoiinoa?, a oaeiae ii?ioeiiiae?aieo iiaa?oiiue, iniaeeai aaaeeeaei ?
ei?aeoiee iien ?icn?yiiy na?oea a iaaeao cai?ioiiai ?icn?yiiy. Ooo
iiaeeeaa ?ioa?oa?aioe?y aaaaoi?aciai ?icn?yieo oaeeue, ui i?ieoee iaeei
? oie aea oeyo a i?yiiio oa iaa?iaiiio iai?yieo. Oey ?ioa?oa?aioe?y
i?iyaey? naaa o aeaeyae? iae?i?eiiai c?inoaiiy yne?aaino? na?aaeiaeua
i?e iaaeeaeaii? aei iiiceoe?eiiai iai?yieo. Oaea c?inoaiiy yne?aaino?
ia? iacao aoaeoo neaaei? eieae?caoe?? oioii?a (?io? iacae – iiiceoe?eiee
aoaeo (IA) oa aoaeo eiaa?aioiiai i?aeneeaiiy cai?ioiiai ?icn?yiiy).

C ?ioa?oa?aioe??th cai?ioii ?icn?yieo oaeeue iia’ycaia ? niaoeeo?/ia
iiaaae?iea nooiaiy e?i?eii? iiey?ecaoe?? ?icn?yiiai a cai?ioiiio
iai?yieo na?oea (aoaeo a?ae’?iii? iiey?ecaoe?? na?oea (AIN)). Iaeaeaa
aoaeoe (IA oa AIN) /anoi iaceaathoue eieaeoeaieie aoaeoaie, ine?eueee
aiie iaoiiaeai? aeaeo?iiaai?oiith aca?iiae??th ?icn?thaa/?a na?aaeiaeua.

O ?nioth/eo iiaeaeyo ?icn?yiiy na?oea aeene?aoieie aeiaaeeiaeie
na?aaeiaeuaie (Oeo?aoia TH.A., 1991; ?n?ia?o A., Onaia E., 1988)
eiaa?aioia neeaaeiaa ?icn?yiiai na?oea, iaoiiaeaia eieaeoeaieie
aoaeoaie, iieno?oueny a ?aieao oi/eiaeo ?icn?thaa/?a iaa?oue aeey
?ic??aeaeaieo na?aaeiaeu, a aeey ?icn?thaa/?a e?ioeaaeo ?ici???a
?iaeeeao?ena ?icn?yiiy cai?ith?oueny aeayeith iaaeeaeaiith, ui
i?ecaiaeeoue aei iaiao?aeiino? aaaaeaiiy a?eueieo iiaeaeueieo
ia?aiao??a. Oe? ia?aiao?e ia iia’ycai? aaciina?aaeiuei c
oa?aeoa?enoeeaie na?aaeiaeua. Oiio ?nio? iio?aaa o iiaeaeueoiio ?icaeoeo
?nioth/eo iiaeaeae eieaeoeaieo aoaeo?a c iaoith io?eiaiiy oaei? iiaeae?,
yea a aaciina?aaeiuei iia’ycoaaea oa?aeoa?enoeee ?icn?yiiai na?oea, ui
aecia/athoueny aenia?eiaioaeueii (e?ooecia eooiai? caeaaeiino?
?ioaineaiino?, i?i?ioi nooiaiy e?i?eii? iiey?ecaoe?? oa ?i.), c
oa?aeoa?enoeeaie na?aaeiaeua (?ici??aie ?icn?thaa/?a na?aaeiaeua, ?o
eiioeaio?aoe??th oa ?i.). Oea aeicaieeei a a?eueo aaeaeaaoii
?ioa?i?aooaaoe aei??yi? eooia? caeaaeiino? ia?aiao??a Noiena na?oea,
?icn?yiiai ?ic??aeaeaieie na?aaeiaeuaie.

Aeei?enoaiiy ?nioth/eo iiaeaeae aeey iieno eieaeoeaieo aoaeo?a a
u?eueiioiaeiaaieo nenoaiao ?icn?thaa/?a aeeeeea? aeaye? caia?a/aiiy,
ine?eueee a ieo ia a?aoiao?oueny iaiaeii??aei?noue iiey iiaeeco
?icn?thaa/?a, yea iiaea, ye oea aoei iieacaii iaaeaaii, nooo?ai aieeaaoe
ia oa?aeoa?enoeee ?icn?yiiai na?oea (Oeoeiaaoeue A. I., 1998). Ia aeaiee
/an ia aeineoue yniith ? ?ieue ??cieo iaoai?ci?a, ui a?aeiia?aeathoue ca
oi?ioaaiiy eieaeoeaieo aoaeo?a a oaeeo nenoaiao. Aea/aiiy oeeo
iaoai?ci?a, cie?aia oiia, ca yeeo aiie naaa i?iyaeythoue, ? aaaeeeaei
aeey ?icoi?iiy o?ceee ?icn?yiiy u?eueiioiaeiaaieie na?aaeiaeuaie oa
anoaiiaeaiiy iaae aeei?enoaiiy iiaeaeae eieaeoeaieo aoaeo?a.

Oe?iea canoinoaaiiy iaoiae?a aeenoaioe?eiiai ciiaeoaaiiy ??cieo
na?aaeiaeu ?iaeoue aeooaeueieie oae? aeine?aeaeaiiy. Ia aeaiee /an
eieaeoeai? aoaeoe iiaeia iienaoe a ?aieao oai??? ?icn?yiiy na?oea
eeanoa?aie (nenoaiaie) noa?e/ieo /anoeiie. Iaaeeaeaia ?ica’ycaiiy
??aiyiue oe??? oai???, cie?aia a ?aieao aeaie?aoiiai ?icn?yiiy na?oea,
aea? ciiao aiae?oe/ii ona?aaeieoe aeaye? oa?aeoa?enoeee ?icn?yiiai
na?oea ? io?eiaoe ni?aa?aeiioaiiy, ye? iiaeooue aooe canoiniaai? aeey
?ica’ycaiiy aeacaieo i?iaeai.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa aoiaeeoue
aei ieaio athaeaeaoii? IAe? AI OAeO (? aea?ae?a?no?aoe?? 0197U002492),
oaia 9-12-97 “Ano?io?ce/i? aeine?aeaeaiiy I?nyoey oa ieaiao”.

Iaoa ? caaea/? aeine?aeaeaiiy. Iniiaia iaoa ?iaioe iieyaa? a
oai?aoe/iiio iien? o?ce/ieo aoaeo?a, ye? niinoa??aathoueny i?e
cai?ioiiio ?icn?yii? na?oea u?eueiioiaeiaaieie oa ?ic??aeaeaieie
nenoaiaie ?icn?thaa/?a.

Aeey aeinyaiaiiy iinoaaeaii? iaoe aoei iaiao?aeii:

ioe?ieoe aoaeoeai?noue oa anoaiiaeoe oiiae canoinoaaiiy ??cieo o?ce/ieo
iaoai?ci?a oi?ioaaiiy eieaeoeaieo aoaeo?a a u?eueiioiaeiaaieo nenoaiao
?icn?thaa/?a;

io?eiaoe iaaeeaeai? oi?ioe aeey eiao?oe??io?a iineaaeaiiy oa iiaeeiaiiy
na?oea oaioe/ii i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie oa
anoaiiaeoe oiiae canoinoaaiiy iaaeeaeaiiy aeaie?aoiiai ?icn?yiiy;

iiaoaeoaaoe iiaeaeue eieaeoeaieo aoaeo?a aeey ?ic??aeaeaiiai
na?aaeiaeua oaioe/ii i???ioiaaieo eeanoa??a noa?e/ieo /anoeiie, yea
aaciina?aaeiuei iia’yco? aei??yi? aenia?eiaioaeueii oa?aeoa?enoeee
?icn?yiiai aei?ii?ithaaiiy c oa?aeoa?enoeeaie na?aaeiaeua;

ai?iaoaaoe io?eiai? oi?ioee aeey ii??aiyiiy cia/aiue, iaea?aeaieo a
?aieao iiaoaeiaaii? iiaeae?, c aenia?eiaioaeueieie.

?acoeueoaoe aeena?oaoe?eii? ?iaioe iaea?aeaii c aeei?enoaiiyi a?aeiieo
iaoiae?a oai?aoe/ii? o?ceee, oai??? ?icn?yiiy oa oai??? ia?aiino
aei?ii?ithaaiiy.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. Aia?oa eieaeoeai? aoaeoe
oai?aoe/ii iienaii a ?aieao iiaeae?, ui ia iaeeaaea? iaiaaeaiue ia
?ici??e ?icn?thaa/?a, ia ia? a?eueieo iiaeaeueieo ia?aiao??a oa
aaciina?aaeiuei iia’yco? oa?aeoa?enoeee ?icn?yiiai na?oea c
oa?aeoa?enoeeaie na?aaeiaeua. Eiaa?aioia neeaaeiaa a oe?e iiaeae?
?icaeyaea?oueny a ?aieao aeaie?aoiiai ?icn?yiiy. Io?eiai? iaaeeaeai?
oi?ioee aeey eiao?oe??io?a iineaaeaiiy oa iiaeeiaiiy na?oea oaioe/ii
i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie cia/ii i?ino?o? a?ae no?iaeo
? aeathoue iaaaeeeo iioeaeo ia/eneaiue i?e ?o /eneaii?e ?aae?caoe??.
Aia?oa aecia/aii aoaeoeai?noue ??cieo o?ce/ieo iaoai?ci?a oi?ioaaiiy
eieaeoeaieo aoaeo?a aeey u?eueiioiaeiaaieo nenoai ?icn?thaa/?a oa
anoaiiaeaii oiiae aeei?enoaiiy ??cieo iiaeaeae oeeo aoaeo?a.

Eiie?aoi? iaoeia? ?acoeueoaoe oa iieiaeaiiy, ui aeiinyoueny ia caoeno.

1. Aecia/aiiy aoaeoeaiino? ??cieo iaoai?ci?a oi?ioaaiiy eieaeoeaieo
aoaeo?a a u?eueiioiaeiaaieo nenoaiao ?icn?thaa/?a oa oiia canoinoaaiiy
iiaeaeae, ui aacothoueny ia aoaeo? neaaei? eieae?caoe?? oioii?a.

2. Oi?ioee aeey eiao?oe??io?a iineaaeaiiy oa iiaeeiaiiy na?oea oaioe/ii
i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie a iaaeeaeaii? aeaie?aoiiai
?icn?yiiy.

3. Iiaeaeue eieaeoeaieo aoaeo?a aeey ?ic??aeaeaiiai na?aaeiaeua oaioe/ii
i???ioiaaieo eeanoa??a noa?e/ieo /anoeiie, yea iiaea aooe aeei?enoaia
oaeiae aeey iieno iiiceoe?eieo aoaeo?a, ye? niinoa??aathoueny a
?ic??aeaeaiiio na?aaeiaeu? ?cieueiaaieo noa?e/ieo /anoeiie.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. ?acoeueoaoe ii??aiyiiy
aoaeoeaiino? ??cieo iaoai?ci?a oi?ioaaiiy eieaeoeaieo aoaeo?a aaaeeea?
aeey ?icoi?iiy o?ceee ?icn?yiiy na?oea u?eueiioiaeiaaieie nenoaiaie
?icn?thaa/?a oa aeacothoue ia iaiao?aei?noue a?aooaaiiy iniaeeainoae
iiey iaaeiei ?icn?thaa/?a i?e iienaii? eieaeoeaieo aoaeo?a a oaeeo
nenoaiao. Oea aea? iiaeeea?noue ii-iiaiio ?ioa?i?aooaaoe ?acoeueoaoe
aei???a oa?aeoa?enoee ?icn?yiiai na?oea u?eueiioiaeiaaieie nenoaiaie
?icn?thaa/?a.

Cai?iiiiiaaia iiaeaeue eieaeoeaieo aoaeo?a aeicaiey? iienaoe IA oa AIN
aeey ?ic??aeaeaiiai na?aaeiaeua oeio eiei?aeieo ?ic/ei?a, ieaiaoieo oa
eiiaoieo aoiinoa? ? o. i. Oey iiaeaeue ia ia? a?eueieo iiaeaeueieo
ia?aiao??a oa aeicaiey? a?eueo aaeaeaaoii, i?ae ?nioth/? iiaeae?,
?ioa?i?aooaaoe eooia? caeaaeiino? ia?aiao??a Noiena ?icn?yiiai
aei?ii?ithaaiiy aeey ?ic??aeaeaieo na?aaeiaeu. Ao?aeieie ia?aiao?aie
oe??? iiaeae? ? oa?aeoa?enoeee, ui aaciina?aaeiuei aei??ththoueny:
?ici??e oa iieacieee caeiieaiiy /anoeiie na?aaeiaeua, ?o eiioeaio?aoe?y.

Iaaeeaeai? oi?ioee aeey eiao?oe??io?a iineaaeaiiy oa iiaeeiaiiy na?oea
oaioe/ii i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie iiaeooue aooe
aeei?enoai? aeey ?ic?aooie?a iineaaeaiiy na?oea ??ciiiai?oieie
na?aaeiaeuaie oa oaieiaiai ?aaeeio a ieo.

Iniaenoee aianie caeiaoaa/a. Aaoi? aeena?oaoe?? io?eiaa oi?ioee aeey
eiao?oe??ioa iiaeeiaiiy na?oea oaioe/ii i???ioiaaieie eeanoa?aie
noa?e/ieo /anoeiie a iaaeeaeaii? aeaie?aoiiai ?icn?yiiy, ?yae oi?ioe, ui
noinothoueny ona?aaeiaiiy eeanoa??a ii i???ioaoe?yo i?e iiaoaeia?
iiaeae? eieaeoeaieo aoaeo?a aeey ?ic??aeaeaiiai na?aaeiaeua oaioe/ii
i???ioiaaieo eeanoa??a noa?e/ieo /anoeiie, aeine?aeea oiiae canoinoaaiiy
??cieo o?ce/ieo iaoai?ci?a oi?ioaaiiy eieaeoeaieo aoaeo?a a
u?eueiioiaeiaaieo nenoaiao ?icn?thaa/?a. Aaoi?ii aeena?oaoe?? aoee
?ic?iaeai? aeai?eoie oa i?ia?aie ?ic?aooie?a oa?aeoa?enoee ?icn?yiiy a
??cieo iiaeaeyo nenoai ?icn?thaa/?a, io?eiai? /eneia? ?acoeueoaoe,
i?iaaaeaia ai?iaaoe?y io?eiaieo oi?ioe aeey ii??aiyiiy cia/aiue,
iaea?aeaieo a ?aieao iiaoaeiaaii? iiaeae?, c aenia?eiaioaeueieie.

Aaoi? i?eeiaa o/anoue a iaienaii? oa iaaiai?aii? oaeno?a iaoeiaeo noaoae
oa oac aeiiia?aeae.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? ?acoeueoaoe ?iaioe
aeiiia?aeaeenue ia 2-e eiioa?aioe?? “O?ce/i? yaeua a oaa?aeeo o?eao”, ia
I?aeia?iaei?e ?iai/?e a?oi? c ?icn?yiiy na?oea ianoa?e/ieie /anoeieaie
(Oaeuen?iee, 1997), ia i?aeia?iaei?e ?iai/?e a?oi? “Iiey?eiao??y eiiao
oa anoa?i?ae?a” (Oa?e?a, 1997), ia o?aoueiio i?aeia?iaeiiio neiiic?oi?
“O?ceea oa oaoi?ea i?e?iao?iaeo oa noai?e?iao?iaeo oaeeue” (Oa?e?a,
1998), a oaeiae ia nai?ia?ao AI OAeO.

Ioae?eaoe??. Ca iaoa??aeaie aeena?oaoe?? iioae?eiaaii 8 i?aoeue, o oiio
/ene? 5 noaoae a iaoeiaeo aeo?iaeao oa 3 oace aeiiia?aeae ia
eiioa?aioe?yo.

No?oeoo?a oa ianya aeena?oaoe?eii? ?iaioe. Aeena?oaoe?y neeaaea?oueny c
anooio, /ioe?ueio ?icae?e?a, caeeth/iiai ?icae?eo “Aeniiaee” oa nieneo
e?oa?aoo?e c 111 iaeiaioaaiue. Aiia aeeth/a? a naaa 42 ?enoiee, 3
oaaeeoe?, 1 aeiaeaoie. Caaaeueiee ?ici?? aeena?oaoe?? neeaaea? 128
noi??iie.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue oaie, iaoo oa caaea/? ?iaioe,
iaoeiao iiaecio oa i?aeoe/io oe?ii?noue aeine?aeaeaiue, ia?ae?/aii
eiie?aoi? iaoeia? ?acoeueoaoe, aeianai? ia caoeno, a oaeiae iaaaaeaii
noeneee ci?no ?iaioe.

Ia?oee ?icae?e “Eiiia?aoeai? aoaeoe i?e ?icn?yii? na?oea aeene?aoieie
aeiaaeeiaeie na?aaeiaeuaie. ?icn?yiiy na?oea eeanoa?aie noa?e/ieo
/anoeiie” i?enay/aii e?oa?aoo?iiio iaeyaeo ?ia?o, ui noinothoueny
aenia?eiaioaeueieo aeine?aeaeaiue aoaeo?a, ye? aeieeathoue i?e
cai?ioiiio ?icn?yii? na?oea (IA oa AIN), oa ??cieo iaoai?ci?a ? iiaeaeae
oeeo aoaeo?a [1-3]. Cie?aia, ei?ioei aeeeaaeaii ?noi??th a?aee?eooy IA
oa AIN a iioeoe?, ano?iiii?? oa a ?aae?io?ceoe?. Aeacaii ia oa, ui ia
aeaiee /an iaea?eueo o?ce/ii iaa?oioiaaiei iaoai?ciii oi?ioaaiiy IA oa
AIN ? ?ioa?oa?aioe?eiee iaoai?ci (Oeo?aoia, 1989). Cacia/a?oueny, ui a
?aieao ?ioa?oa?aioe?eiiai iaoai?cio ana ua ia ?nio? aeinoaoiuei
iaae?eieo iiaeaeae eieaeoeaieo aoaeo?a, ye? a aaciina?aaeiuei
iia’ycoaaee aei??yi? oa?aeoa?enoeee ?icn?yiiai na?oea c oa?aeoa?enoeeaie
na?aaeiaeua.

Iniaeeao oaaao i?eae?eaii i?aoeyi, ye? i?enay/ai? oai?aoe/iiio
aeine?aeaeaiith ?icn?yiiy na?oea oaioe/ii i???ioiaaieie eeanoa?aie
noa?e/ieo /anoeiie. A oaeeo nenoaiao ?icn?thaa/?a iiaeooue aeieeaoe IA
oa AIN (Oeoeiaaoeue A. I., 1994; I?uaiei I. ?., 1996). A?aecia/a?oueny,
ui ia aac? oai??? ?icn?yiiy na?oea eeanoa?aie noa?e/ieo /anoeiie iiaeia
iiaoaeoaaoe iiaeaeue eieaeoeaieo aoaeo?a, yea a?eueo aaeaeaaoii i?ae
?nioth/? iiaeae? iienoaaoeia iiiceoe?ei? aoaeoe, ine?eueee
aaciina?aaeiuei iia’yaea oa?aeoa?enoeee ?icn?yiiai aei?ii?ithaaiiy c
oa?aeoa?enoeeaie na?aaeiaeua.

Ae?oaee ?icae?e “Eieaeoeai? aoaeoe i?e ?icn?yii? na?oea
u?eueiioiaeiaaieie nenoaiaie ?icn?thaa/?a. Ii??aiyiiy aeaio iiaeeeaeo
iaoai?ci?a oi?ioaaiiy IA oa AIN” i?enay/aii ?icaeyaeo aieeao
iaiaeii??aeiino? oaee? ia oi?ioaaiiy IA oa AIN a u?eueiioiaeiaaieo
nenoaiao ?icn?thaa/?a, i?iaaaeaiith ioe?iie aoaeoeaiino?
?ioa?oa?aioe?eiiai iaoai?cio a ii??aiyii? c iaoai?ciii ?icn?yiiy
iaiaeii??aeii? oaee? ia i?eeeaae? oaioe/ii oa /anoeiai i???ioiaaieo
eeanoa??a noa?e/ieo /anoeiie, a oaeiae anoaiiaeaiith oiia canoinoaaiiy
??cieo o?ce/ieo iaoai?ci?a oi?ioaaiiy eieaeoeaieo aoaeo?a a
u?eueiioiaeiaaieo nenoaiao ?icn?thaa/?a.

i?e ?icn?yii? na?oea oaa?aeeie iiaa?oiyie ii?ioeiiiae?aieo na?aaeiaeu.

. Ia oeeo ?enoieao 1 a?aeiia?aea? e?eaei aeey iaaca?iiae?th/eo
/anoeiie, 2 – ?acoeueoao a?aooaaiiy aca?iiae?? aeaie?aoii ?icn?yieo
eiiiiiaio, 3 – ?acoeueoao a?aooaaiiy aca?iiae?? iaeiie?aoii oa
aeaie?aoii ?icn?yieo eiiiiiaio, 4 – cia/aiiy aeacaieo aeua aaee/ei a
?ioa?oa?aioe?ei?e iiaeae?, 5 – e?ea? aeey oi/ieo aeaieo.

– ia?oee aeaiaio iao?eoe? ?icn?yiiy) oa nooiaiy e?i?eii? iiey?ecaoe?? ?
a?ae eooa ?icn?yiiy aeey eeanoa?a ?c o?ueio iaeiaeiaeo /anoeiie.

Io?eiai? ?acoeueoaoe iieacothoue, ui i?e iienaii? iiiceoe?eieo aoaeo?a a
u?eueiioiaeiaaieo nenoaiao ?icn?thaa/?a c ?ici??aie ii?yaeeo aeiaaeeie
oaee? iaaeath/iai na?oea iaiao?aeii a?aoiaoaaoe aca?iiae?th
iaiaeii??aeii? oaee? c ?icn?thaa/aie na?aaeiaeua. Iaiaeii??aei?noue
aeeaeiueiai iiey i?ecaiaeeoue aei nooo?aiai iiaeaaeaiiy aoaeoo neaaei?
eieae?caoe?? na?oea oa cia/iith i??ith aieeaa? ia oaciao caeaaei?noue
nooiaiy e?i?eii? iiey?ecaoe?? a iaaeao cai?ioiiai iai?yieo.

I?e ca?eueoaii? a?aenoai? i?ae /anoeieaie aianie a eiiia?aoeai? aoaeoe
iaoai?cio ?icn?yiiy iaiaeii??aeii? oaee? oaeaeei ciaioo?oueny ? i?e
aeayeeo a?aenoaiyo eiiia?aoeai? aoaeoe iiaeooue ?icaeyaeaoeny a ?aieao
iiaeaeae aoaeoo neaaei? eieae?caoe?? oioii?a. Oeth a?aenoaiue iiaeia
ioe?ieoe ca iae?noth aaee/eie

, (1)

– eoo ?icn?yiiy.

.

O?ao?e ?icae?e “Eiao?oe??ioe iineaaeaiiy oa iiaeeiaiiy na?oea oaioe/ii
i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie a iaaeeaeaii? aeaie?aoiiai
?icn?yiiy” i?enay/aii io?eiaiith iaaeeaeaieo oi?ioe aeey cacia/aieo
eiao?oe??io?a oa aiae?co iioeaee ?ic?aooie?a i?e /eneia?e ?aae?caoe??
oeeo oi?ioe.

Aeey eiao?oe??ioa iineaaeaiiy na?oea oi?ioee a iaaeeaeaii? aeaie?aoiiai
?icn?yiiy iathoue aeaeyae:

, (2)

– eiao?oe??ioe I?,

, (3)

, (4)

– a?aenoaiue i?ae j-th oa s-th /anoeieaie,

.
(5)

Aeey eiao?oe??ioa iiaeeiaiiy iaaeeaeai? oi?ioee iathoue aeaeyae:

, (6)

aea

, (7)

, (8)

– oaeeueiaee ia?aiao? oa iieaciee caeiieaiiy j-? /anoeiee eeanoa?a
a?aeiia?aeii,

, (9)

, (10)

oa iaaiaee.

Iaae?ei?noue oi?ioe aeey eiao?oe??io?a iineaaeaiiy oa iiaeeiaiiy na?oea
oaioe/ii i???ioiaaieie eeanoa?aie noa?e/ieo /anoeiie ia?aa??yeanue aeey
eeanoa??a, ui neeaaeathoueny ?c aeae?eueeio iaeiaeiaeo /anoeiie, i?e
??cieo cia/aiiyo eiiieaeniiai iieacieea caeiieaiiy /anoeiie oa ?o
oaeeueiaiai ia?aiao?a.

Aeaye? ?acoeueoaoe ?ic?aooie?a eiao?oe??io?a iaaaaeai? a oaaeeoeyo 1 oa
2.

*an ?ic?aooie?a ca oi/ieie oa iaaeeaeaieie oi?ioeaie a?ae??ciy?oueny ia
aeae?eueea ii?yaee?a. I?e oeueiio oi/i?noue cia/aiue eiao?oe??io?a
aeinoaoiuei aeniea, iniaeeai i?e aeiaeaoeiaiio ona?aaeiaii?
eiao?oe??io?a ca ??ciiiai?oieie oa?aeoa?enoeeaie eeanoa?a (?ici??aie,
iieacieeaie caeiieaiiy /anoeiie, oeiaie eeanoa??a).

– eiao?oe??io iineaaeaiiy ?cieueiaaii? /anoeiee).

x oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy

0.5

1.0

1.5

2.0

2.5

3.0 3.555

2.715

2.533

2.350

2.224

2.118 3.484

2.670

2.484

2.348

2.207

2.119 3.203

2.721

2.479

2.158

2.034

1.870 3.098

2.638

2.455

2.158

2.049

1.865 3.738

2.839

2.348

1.996

1.738

1.722 3.525

2.697

2.375

1.960

1.728

1.732

– eiao?oe??io iiaeeiaiiy ?cieueiaaii? /anoeiee).

x oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy oi/i?

cia/aiiy iaaeeaeai?

cia/aiiy

0.2

0.8

1.4

2.0

2.6

3.2 2.029

2.061

2.055

2.010

2.009

1.998 2.016

2.046

2.046

2.016

2.007

2.000 2.054

2.115

2.062

2.001

1.975

2.011 2.027

2.076

2.063

2.009

1.998

2.013 2.090

2.166

1.982

1.999

1.935

1.871 2.039

2.102

2.016

1.978

1.921

1.906

iacia/ia. Aeey eiao?oe??ioa iiaeeiaiiy na?oea iioeaea ia/eneaiue ca
iaaeeaeaieie oi?ioeaie caeaaeeoue a?ae ?ici???a /anoeiie oa iieacieea
caeiieaiiy /anoeiie.

Aeei?enoiaoth/e iaaeeaeai? oi?ioee aeey eiao?oe??io?a iineaaeaiiy oa
iiaeeiaiiy na?oea iiaeia io?eiaoe a oiio ae iaaeeaeaii? eiao?oe??io
?icn?yiiy oa aeueaaaei iaeiie?aoiiai ?icn?yiiy oaeeie eeanoa?aie.

O /aoaa?oiio ?icae?e? “Iiaeaeue eieaeoeaieo aoaeo?a i?e ?icn?yii? na?oea
nenoaiith oaioe/ii i???ioiaaieo eeanoa??a noa?e/ieo /anoeiie”
i?aaenoaaeaia iiaeaeue eieaeoeaieo aoaeo?a aeey ?ic??aeaeaiiai
na?aaeiaeua oaioe/ii i???ioiaaieo eeanoa??a noa?e/ieo /anoeiie. Oey
iiaeaeue a?eueo aaeaeaaoii i?ae ?nioth/? iiaeae? iieno? iiiceoe?ei?
aoaeoe, ine?eueee aiia ia iaeeaaea? iaiaaeaiue ia ?ici??e ?icn?thaa/?a
na?aaeiaeua, ia ia? a?eueieo iiaeaeueieo ia?aiao??a oa aaciina?aaeiuei
iia’yco? oa?aeoa?enoeee ?icn?yiiai aei?ii?ithaaiiy c oa?aeoa?enoeeaie
na?aaeiaeua. ?? ao?aeieie ia?aiao?aie ? oa?aeoa?enoeee, ui
aaciina?aaeiuei aei??ththoueny: ?ici??e oa iieacieee caeiieaiiy /anoeiie
na?aaeiaeua, ?o eiioeaio?aoe?y. Iiaoaeiaaia iiaeaeue aoea aeei?enoaia
aeey iieno aenia?eiaioaeueieo aeaieo ii ?icn?yiith na?oea aiaeyieie
?ic/eiaie i?e?inoa? eaoaeno. sse i?eeeaae aeei?enoaiiy aeaii? iiaeae?
eieaeoeaieo aoaeo?a, aoea ioe?iaia eiioeaio?aoe?y /anoeiie a e?eueoeyo
Naoo?ia, ui oi?iothoue iiey?ecaoe?th e?eaoeue.

?icn?yia na?aaeiaeuai aei?ii?ithaaiiy iiaeia i?aaenoaaeoe o aeaeyae?
noie eiaa?aioii? oa iaeiaa?aioii? neeaaeiaeo. Iaeiaa?aioia neeaaeiaa
?icn?yiiai na?oea a?aoiao?oueny ca aeiiiiiaith oai??? ia?aiino
aei?ii?ithaaiiy. Ia aeaiee /an ia io?eiaii a?aeiia?aeieo ??aiyiue aeey
iieno eiaa?aioii? neeaaeiai?. O i?aaenoaaeai?e iiaeae? eiaa?aioia
neeaaeiaa ?icn?yiiai na?oea a?aoiao?oueny o aeaeyae? ?ioa?oa?aioe??
aeaie?aoii ?icn?yieo oaeeue iii?ae ie?aieie /anoeieaie ??cieo eeanoa??a.
Aaee/eie, ui iienothoue eiaa?aioio neeaaeiao ?icn?yiiai na?oea a
?ic?iaeai?e iiaeae?, iathoue aeaeyae:

, (11)

-ai eeanoa?a a?aeiinii J -ai.

, (12)

, (13)

, (14)

, (15)

– o?ainii?oia aeiaaeeia, ui aecia/a?oueny ye [4]:

,
(16)

-ai eeanoa?a, ciai?oi? aeoaeee icia/athoue ona?aaeiaiiy ii aeanoeainoyo
eeanoa??a, g- ia?aiao?, ui a?aeiia?aea? /anooe? na?oea, ?icn?yiiai
eeanoa?ii a cai?ioiiio iai?yieo.

, ui a?aeiia?aea? /eneo /anoeiie a ia’?i? iaei??? /anoeiee (u?euei?noue
oiaeiaee):

(17).

(a). Nooe?eueia e?eaa a?aeiia?aea? iiaeaeueiei cia/aiiyi, e?oaeee –
aenia?eiaioaeueiei [5].

iia’ycai? c ne?i/aii?noth eooiaiai ?icae?eaiiy i?eeia/a
aei?ii?ithaaiiy. Cie?aia, caeaaei?noue aaee/eie i?ea ?ioaineaiino? a?ae
eooiaiai ?icae?eaiiy i?eeia/a a?aecia/aeanue a [5] (eooiaa ?icae?eaiiy a
?iaio? [5] aei??aith? 3 i?aae.). Ona?aaeieaoe io?eiai? a ?aieao iiaeae?
cia/aiiy ?ioaineaiino? ?c ?en. 3 (a) c o?aooaaiiyi oaeiai ?icae?eaiiy
i?eeia/a io?eia?ii a?eueo aeecueeee o?ae aenia?eiaioaeueieo oa
iiaeaeueieo e?eaeo (?en.4).

?en. 4. Caeaaei?noue, aiaeia?/ia caeaaeiino? ia ?en. 3 (a). Iiaeaeuei?
cia/aiiy ona?aaeiai? c o?aooaaiiyi eooiaiai ?icae?eaiiy i?eeia/a.

?acoeueoaoe ii??aiyiiy aenia?eiaioaeueieo oa io?eiaieo a ?aieao
iiaoaeiaaii? iiaeae? cia/aiue a?aeiinii? ?ioaineaiino? na?oea,
?icn?yiiai a cai?ioiiio iai?yieo aiaeyieie ?ic/eiaie i?e?inoa? eaoaeno,
iieacothoue ui iiaeaeue eieaeoeaieo aoaeo?a aeia?a ni?aoeueiao? aeey
na?aaeiaeua ?cieueiaaieo noa?e/ieo /anoeiie. Oiio iaa?oioiaaiei ?
aeei?enoaiiy iiaeae? aeey na?aaeiaeua oaioe/ii i???ioiaaieo eeanoa??a
noa?e/ieo /anoeiie.

.

sse aeaeii c ?en. 5 (a) i?e iaeeo cia/aiiyo u?eueiino? oiaeiaee e?ea?
aeey nooiaiy e?i?eii? iiey?ecaoe?? iiaeooue iaoe a?iiaeaeueiee oa?aeoa?
(e?eaa 1 ?en. 5 (a)).

, 3 – aeeoocia neeaaeiaa eiao?oe??ioa yne?aaino?.

– eoo ?icn?yiiy).

– oaeeueiaa /enei).

Ne?ae cacia/eoe, ui iieiaeaiiy aocueeiai i?ea iiey?ecaoe?? i?e iaeeo
cia/aiiyo u?eueiino? oiaeiaee neaai caeaaeeoue a?ae aeanoeainoae
/anoeiie (?o ?ici???a oa iieaciee?a caeiieaiiy).

 – iiaeaeue na?aaeiaeua, ui neeaaea?oueny c noa?e/ieo /anoeiie. o e i –
iiaeae? na?aaeiaeu, ui neeaaeathoueny c oaioe/ii i???ioiaaieo eeanoa??a
(o?eieao?a oa a?noa? a?aeiia?aeii).

O Aeniiaeao ia?a?aoiaaii iniiai? ?acoeueoaoe, ui aoee io?eiai? a ?iaio?.

aeey ??cieo eeanoa??a noa?e/ieo /anoeiie. Aoei iieacaii, ui iaoai?ci
?icn?yiiy iaiaeii??aeii? oaee? iiaea cia/ii ciaiooaaoe cia/aiiy
?ioaineaiino? oa iiey?ecaoe?? ?icn?yiiai na?oea a iaaeao cai?ioiiai
?icn?yiiy a ii??aiyii? c ?ioa?oa?aioe?eiei iaoai?ciii. ?c ca?eueoaiiyi
a?aenoai? i?ae /anoeieaie na?aaeiaeua oeae iaoai?ci oi?ioaaiiy
eieaeoeaieo aoaeo?a iineaaeth?oueny ? aeey oa?aeoa?ieo a?aenoaiae i?ae
/anoeieaie >4d (d – ae?aiao? /anoeiee) eieaeoeai? aoaeoe iiaeooue aooe
iienai? a ?aieao aoaeoo neaaei? eieae?caoe?? oioii?a.

iioeaea ia/eneaiue ca iaaeeaeaieie oi?ioeaie c?inoa?. Oi/i?noue
iaaeeaeaieo oi?ioe ca?eueoo?oueny i?e ona?aaeiaii? eiao?oe??io?a ii
oa?aeoa?enoeeao eeanoa??a.

3. Cai?iiiiiaaii iiaeaeue eieaeoeaieo aoaeo?a aeey oai?aoe/iiai iieno
iiiceoe?eieo aoaeo?a o ?ic??aeaeaiiio na?aaeiaeu? oaioe/ii i???ioiaaieo
eeanoa??a noa?e/ieo /anoeiie. Ia a?aei?io a?ae ?nioth/eo iiaeaeae, aiia
ia ia? a?eueieo iiaeaeueieo ia?aiao??a oa ia iaeeaaea? iaiaaeaiue ia
?ici??e ?icn?thaa/?a. Ao?aeieie ia?aiao?aie oe??? iiaeae? ?
oa?aeoa?enoeee, ui aaciina?aaeiuei aei??ththoueny: ?ici??e oa iieacieee
caeiieaiiy /anoeiie na?aaeiaeua, ?o eiioeaio?aoe?y. Eieaeoeai? aoaeoe a
i?e ?icaeyaeathoueny o aeaeyae? ?ioa?oa?aioe?? aeaie?aoii ?icn?yieo
oaeeue ie?aieie /anoeieaie ??cieo eeanoa??a. Iaeiaa?aioia neeaaeiaa
?icn?yiiai na?oea ia/eneth?oueny ca aeiiiiiaith oai??? ia?aiino
aei?ii?ithaaiiy. O ?ic?iaeai?e iiaeae? oa?aeoa?enoeee ?icn?yiiai
na?aaeiaeuai aei?ii?ithaaiiy aaciina?aaeiuei iia’ycai? c
oa?aeoa?enoeeaie ?icn?thaa/?a na?aaeiaeua.

?acoeueoaoe ii??aiyiiy aenia?eiaioaeueieo oa io?eiaieo a ?aieao
iiaoaeiaaii? iiaeae? cia/aiue a?aeiinii? ?ioaineaiino? na?oea,
?icn?yiiai a cai?ioiiio iai?yieo aiaeyieie ?ic/eiaie i?e?inoa? eaoaeno,
iieacothoue ui iiaeaeue eieaeoeaieo aoaeo?a aeia?a ni?aoeueiao? aeey
na?aaeiaeua ?cieueiaaieo noa?e/ieo /anoeiie. Oiio iaa?oioiaaiei ?
aeei?enoaiiy iiaeae? aeey na?aaeiaeua oaioe/ii i???ioiaaieo eeanoa??a
noa?e/ieo /anoeiie.

O ?aieao iiaoaeiaaii? iiaeae? iiyniaii a?iiaeaeueio caeaaei?noue
iiey?ecaoe?? a?ae eooa ?icn?yiiy, ui niinoa??aa?oueny aeey e?eaoeue
Naoo?ia oa aeeiiaii ioe?ieo eiioeaio?aoe?? /anoeiie, ye? oi?iothoue oeth
caeaaei?noue.

Nienie oeeoiaaii? e?oa?aoo?e

Watson K. M. Multiple scattering of electromagnetic waves in an
underdense plasma // J. Math. Phys. -1969. – V.10. – P. 688-702.

Aeiia?aaeia A. A., E?aaoeia TH. A., Oaoa?neee A. E. Yooaeo oneeaiey
ia?aoiiai ?annayiey ia oaeao, iiiauaiiuo a n?aaeo ni neo/aeiuie
iaiaeii?iaeiinoyie // Eca. aocia. ?aaeeioeceea. – 1973. – T. 16, ? 7 –
C. 1064-1070.

A critical review of theoretical models for the negative polarization of
light scattered by atmosphereless solar system bodies / Shkuratov Yu.G.,
Muinonen K., Bowell E. et al. // The Earth, Moon, and Planets. – 1994.
– V. 65, ? 3. – P. 201-246.

Caaa Y.I., Eaaiia A. I., Eaoeaa E.E. Ia?aiin ecia?aaeaiey a
?annaeaathuae n?aaea. – Ieine: Iaoea e oaoieea, 1985. – 327 n.

Wolf P.E., Maret. G Weak localization and coherent backscattering of
photons in disordered media // Phys. Rev. Lett. – 1985. – V. 55, ? 24. –
P.2696-2699.

Rosenbush V. K., Avramchuck V. V., Rosenbush A. E., Mishchenko M. I.
Polarization properties of the galilean satellites of Jupiter:
observation and preliminary analysis // Astr. Jornal. – 1997.- V.487 –
P. 402-414.

Nienie iioae?eiaaieo i?aoeue caeiaoaa/a ca oaiith aeena?oaoe??

Oeoeiaaoe A.I., Eeoaeiia I.A. Eiyooeoeeaiou ineaaeaiey naaoa oaioe/anee
i?eaioe?iaaiiuie eeanoa?aie noa?e/aneeo /anoeoe a i?eaeeaeaiee
aeaoe?aoiiai ?annayiey // Iioeea e niaeo?ineiiey. – 1996. – O. 81, ? 2.
– N. 319-322.

Oeoeiaaoe A. I., Eeoaeiia I. A. ?annayiea yeaeo?iiaaieoiuo aiei nenoaiie
oaioe/anee i?eaioe?iaaiiuo eeanoa?ia noa?e/aneeo /anoeoe // ?aaeeioeceea
e yeaeo?iieea: Na. iao/i. o?oaeia E?Y IAI Oe?aeiu. – 1998. – Aui.3, ?1.
– N. 57-61.

Eeoaeiia I.A., Oeoeiaaoe A.I. Eiyooeoeeaiou iiaeiuaiey naaoa oaioe/anee
i?eaioe?iaaiiuie eeanoa?aie noa?e/aneeo /anoeoe a i?eaeeaeaiee
aeaoe?aoiiai ?annayiey // Iioeea e niaeo?ineiiey. – 1999. – O. 86, ? 1.
– N. 98 – 101.

Tishkovets V.P., Shkuratov Yu. G., Litvinov P.V. Comparison of
collective effects at scattering by randomly oriented clusters of
spherical particles // JQSRT. – 1999. – V.61. – P. 767-773.

Oeoeiaaoe A.I., Eeoaeiia I. A. Iiiiceoeeiiiua yooaeou i?e ?annayiee
naaoa ?aaieeoiiiaeiaiuie n?aaeaie // Ano?. aano. – 1999. – O. 33, ? 2. –
N. 186-192.

Oeoeiaaoe A.I., Eeoaeiia I. A., Ei?ieaiei A. A. Ia?aoiia ?annayiea naaoa
neo/aeii i?eaioe?iaaiiuie aenoa?aie // Iaoa?eaeu 2-e eiioa?aioeee
“Oece/aneea yaeaiey a oaa?aeuo oaeao”. – Oa?ueeia, 1995. – C. 108.

Tishkovets V.P., Litvinov P.V. The extinction and absorbtion cross
sections for randomly oriented multiple-sphere clusters in the double
scattering approximation // Workshop on “Light scattering by
non-spherical particles”, Helsinki, Finland. – June 9-11, 1997. –
P.67-68.

Eeoaeiia I. A. Eieaeoeai? aoaeoe i?e ?icn?yii? na?oea aeiaaeeiaeie
nenoaiaie ?icn?thaa/?a. – ?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”. – Oa?e?anueeee aea?aeaaiee oi?aa?neoao, Oa?e?a, 1999.

O aeena?oaoe?? i?iaaaeaii oai?aoe/iee iien eieaeoeaieo aoaeo?a a
u?eueiioiaeiaaieo oa ?ic??aeaeaieo na?aaeiaeuao. Aecia/aii aoaeoeai?noue
??cieo iaoai?ci?a oi?ioaaiiy eieaeoeaieo aoaeo?a oa oiiae canoinoaaiiy
iiaeaeae, ui a?oioothoueny ia aoaeo? neaaei? eieae?caoe?? oioii?a. O
iaaeeaeaii? aeaie?aoiiai ?icn?yiiy io?eiai? oi?ioee aeey eiao?oe??io?a
iiaeeiaiiy oa iineaaeaiiy na?oea oaioe/ii i???ioiaaieie eeanoa?aie
noa?e/ieo /anoeiie. Iiaoaeiaaii iiaeaeue eieaeoeaieo aoaeo?a aeey
?ic??aeaeaiiai na?aaeiaeua oaioe/ii i???ioiaaieo eeanoa??a noa?e/ieo
/anoeiie. I?iaaaeai? ii??aiyiiy iiaeaeueieo oa aenia?eiaioaeueieo aeaieo
ii ?icn?yiith na?oea aiaeyieie ?ic/eiaie i?e?inoa? eaoaeno iieacaee
oi?ioo a?aeiia?aei?noue i?ae oai???th oa aenia?eiaioii. O ?aieao iiaeae?
iiyniaii a?iiaeaeueio eooiao caeaaei?noue iiey?ecaoe?? na?oea,
?icn?yiiai e?eueoeyie Naoo?ia. I?iaaaeaii ioe?ieo eiioeaio?aoe??
/anoeiie, ui oi?iothoue iiey?ecaoe?th e?eaoeue.

Eeth/ia? neiaa: aoaeo neaaei? eieae?caoe?? na?oea, eieaeoeai? aoaeoe,
eeanoa? noa?e/ieo /anoeiie, cai?ioia ?icn?yiiy na?oea.

Litvinov P. V. Collective effects at the light scattering by random
systems of scatters. – Manuscript.

The thesis as a manuscript is submitted for a candidate’s degree (PhD)
in Physics and Mathematics ancording speciality 01.04.05. – optics and
laser physics. – Kharkov State University, Kharkov, 1999.

The theoretical description of collective effects in the closely packed
and rarefied media is carried out in the thesis. The effectiveness of
different mechanisms of the forming collective effects and conditions of
use of the models based on the weak localization effect are determined.
The second-oder scattering approximation was used to receive formulas
for absorbtion and extinction cross sections of randomly orientated
clusters of spherical particles. The model of collective effects for
rarefied medium of randomly orientated multiple-spheres clusters is
obtained. The carried out comparison of the model and experimental data
at the light scattering by aqueous suspensions of submicron-size
polystyrene spheres showed good agreement between theory and experiment.
Bimodal angle dependence of polarization of scattered by Saturn’s rings
light is explained within the model. The estimation of concentration of
the particles which forms the rings polarization is carried out.

Keywords: effect of weak localization of light, collective effects,
cluster of spherical particles, backscatteing of light.

Eeoaeiia I. A. Eieeaeoeaiua yooaeou i?e ?annayiee naaoa neo/aeiuie
nenoaiaie ?annaeaaoaeae. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.05 – iioeea,
eaca?iay oeceea. – Oa?ueeianeee ainoaea?noaaiiue oieaa?neoao, Oa?ueeia,
1999.

Aeey iiiaeo caaea/ aeenoaioeeiiiiai ciiaee?iaaiey ?annaeaathueo n?aae,
oaeeo eae iioe/aneia enneaaeiaaiea eieeieaeiuo ?anoai?ia, ieaiaoiuo e
eiiaoiuo aoiinoa?, a oaeaea ii?ioeiia?aciuo iiaa?oiinoae i/aiue aaaeii
ei??aeoiia iienaiea ?annayiey naaoa a iaeanoe ia?aoiiai ?annayiey.
Caeanue aiciiaeia eioa?oa?aioeey iiiaie?aoii ?annayiiuo aiei, eaeoueo ii
i?yiui e ia?auaiiui ai a?aiaie o?aaeoi?eyi. Yoa eioa?oa?aioeey i?iyaeyao
naay a aeaea iaeeiaeiiai aic?anoaiey y?einoe n?aaeu i?e i?eaeeaeaiee e
iiiiceoeeiiiiio iai?aaeaieth. Oaeie ?ino y?einoe iacuaaaony yooaeoii
neaaie eieaeecaoeee oioiiia (ae?oaea iacaaiey – iiiiceoeeiiiue yooaeo
(IY) e yooaeo eiaa?aioiiai oneeaiey ia?aoiiai ?annayiey).

N eioa?oa?aioeeae iiiaie?aoii ?annayiiuo n?aaeie aiei naycaii e
niaoeeoe/aneia iiaaaeaiee noaiaie eeiaeiie iiey?ecaoeee ?annayiiiai a
ia?aoiii iai?aaeaiee naaoa (yooaeo io?eoeaoaeueiie iiey?ecaoeee naaoa
(IIN)). Iaa yooaeoa (IY e IIN) /anoi iacuaatho eieeaeoeaiuie yooaeoaie,
iineieueeo iie iaoneiaeaiu yeaeo?iiaaieoiui acaeiiaeaenoaeai
?annaeaaoaeae n?aaeu.

A aeaiiie aeenna?oaoeeiiiie ?aaioa a ?aieao oai?ee ?annayiey naaoa
eeanoa?aie (nenoaiaie) noa?e/aneeo /anoeoe i?iaaaeaii iienaiea
eieeaeoeaiuo yooaeoia a ieioiioiaeiaaiiuo e ?ac?aaeaiiuo nenoaiao
?annaeaaoaeae. Onoaiiaeaia yooaeoeaiinoue ?acee/iuo iaoaieciia
oi?ie?iaaiey eieeaeoeaiuo yooaeoia a ieioiioiaeiaaiiuo n?aaeao e oneiaey
eniieueciaaiey iiaeaeae, iniiaaiiuo ia yooaeoa neaaie eieaeecaoeee
oioiiia. A i?eaeeaeaiee aeaoe?aoiiai ?annayiey iieo/aiu oi?ioeu aeey
eiyooeoeeaioia iiaeiuaiey e ineaaeaiey naaoa oaioe/anee i?eaioe?iaaiiuie
eeanoa?aie noa?e/aneeo /anoeoe. A oii aea i?eaeeaeaiee iino?iaia
iiaeaeue eieeaeoeaiuo yooaeoia aeey ?ac?aaeaiiie n?aaeu oaioe/anee
i?eaioe?iaaiiuo eeanoa?ia noa?e/aneeo /anoeoe.

– ?aaeeon /anoeoeu) eieeaeoeaiua yooaeou iiaoo auoue iienaiu a ?aieao
yooaeoa neaaie eieaeecaoeee oioiiia.

Iieo/aiiua oi?ioeu aeey eiyooeoeeaioia ineaaeaiey e iiaeiuaiey naaoa
oaioe/anee i?eaioe?iaaiiuie eeanoa?aie noa?e/aneeo /anoeoe a
i?eaeeaeaiee aeaoe?aoiiai ?annayiey i?e ioiineoaeueiie i?inoioa aeatho
oi?iooth oi/iinoue a oe?ieii aeeaiaciia iieacaoaeae i?aeiieaiey e
?acia?ia /anoeoe eeanoa?ia. Oi/iinoue oi?ioe aic?anoaao i?e on?aaeiaiee
eiyooeoeeaioia ii oa?aeoa?enoeeai eeanoa?ia.

I?aaenoaaeaiiay iiaeaeue eieeaeoeaiuo yooaeoia aeey ?ac?aaeaiiie n?aaeu
oaioe/anee i?eaioe?iaaiiuo eeanoa?ia noa?e/aneeo /anoeoe ia eiaao
naiaiaeiuo iiaeaeueiuo ia?aiao?ia e iaiin?aaenoaaiiui ia?acii naycuaaao
oa?aeoa?enoeee ?annayiiiai eceo/aiey n oa?aeoa?enoeeaie n?aaeu.

?acoeueoaou n?aaiaiey yenia?eiaioaeueiuo e ?ann/eoaiiuo n
eniieueciaaieai iiaeaee cia/aiee ioiineoaeueiie eioaineaiinoe naaoa,
?annayiiiai a ia?aoiii iai?aaeaiee aiaeiuie acaanyie iee?inoa? eaoaena,
iieacuaatho oi?iooth ?aaioiniiniaiinoue iiaeaee eieeaeoeaiuo yooaeoia
aeey n?aaeu eciee?iaaiiuo noa?e/aneeo /anoeoe. Iiyoiio yaeyaony
iainiiaaiiui i?eiaiaiea iiaeaee aeey n?aaeu oaioe/anee i?eaioe?iaaiiuo
eeanoa?ia noa?e/aneeo /anoeoe.

A ?aieao aeaiiie iiaeaee eieeaeoeaiuo yooaeoia oai?aoe/anee iieo/aia
aeiiaeaeueiay caaeneiinoue noaiaie eeiaeiie iiey?ecaoeee ?annayiiiai
n?aaeie naaoa. Oaeay aeiiaeaeueiay caaeneiinoue iiey?ecaoeee
iaaethaeaaony aeey eieaoe Naoo?ia. A ea/anoaa i?eia?a i?eiaiaiey iiaeaee
ioeaiaia eiioeaio?aoeey /anoeoe, oi?ie?othueo iiey?ecaoeeth eieaoe
Naoo?ia.

I?aaenoaaeaiiay iiaeaeue iiaeao auoue i?eiaiaia e a neo/ayo, eiaaea
iaiaoiaeeii on?aaeiaiea ii oa?aeoa?enoeeai eeanoa?ia (eee
oa?aeoa?enoeeai /anoeoe aeey iiaeaeae n?aae iaeeii/iuo ?annaeaaoaeae).

Eeth/aaua neiaa: yooaeo neaaie eieaeecaoeee naaoa, eieeaeoeaiua yooaeou,
eeanoa? noa?e/aneeo /anoeoe, ia?aoiia ?annayiea.

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