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viTüasa®sþrUbviTüafñak;TI12 - 1 - CMBUkTI02 emeronTI02
rlk - 1- hak; kusl
1 > RbPBrlkBIrmanpasdUcKña 1S nig 2S manCMhanrlk nigGMBøITutdUcKña . enAelIKnøg vg;kñúgépÞbøg; 21SS EdlmankaMFMGtibrma mancMNuckNþalenACitRbPBTaMgBIrEdlman Kmøat λ221 =SS etIcMNucNaxøHEdlmanGMBøITutGtibrma nigGb,brma .
dMeNaHRsay kMNt;cMNucEdlmanGMBøITutGtibrma nigGb,brma ³ -smIkarrlk 1S ³ )(2sin 1
1 λπ d
Ttay −=
-smIkarrlk 2S ³ )(2sin 22 λ
π dTtay −=
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 λ
πλ
π dTtad
Ttayyy −+−=+=
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
λλπλλπ
dTtd
Ttd
Ttd
Tt
ay
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +
−⎟⎠⎞
⎜⎝⎛ −
=λ
πλ
π2
2sincos2 2112 ddTtdday
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ −
=λ
π 12cos2 ddaA
-GMBøITutGtibrma kalNa ³ kdd πλ
π cos1cos 12 ==⎟⎠⎞
⎜⎝⎛ −
smmUl ³ kdd=
−λ
12 naM[ ³ λkdd =− 12 m:üageTot ³ λ212 =+ dd eyIg)n ³
22
2λλ +
=kd
smmUl ³ λ)12
(2 +=kd
dUcenHcMNucGMBøITutGtibrmaKWRKb;cMNucEdlsþitcm¶ayBIRbPBTIBIr ³ λ)1
2(2 +=kd )( Zk∈
-GMBøITutGb,rma kalNa ³ ⎟⎠⎞
⎜⎝⎛ +==⎟
⎠⎞
⎜⎝⎛ − ππ
λπ kdd
2cos0cos 12
viTüasa®sþrUbviTüafñak;TI12 - 2 - CMBUkTI02 emeronTI02
rlk - 2- hak; kusl
smmUl ³ ππλ
π kdd+=
−2
12 naM[ ³ 2
)12(12λ
+=− kdd m:üageTot ³ λ212 =+ dd eyIg)n ³
4)12(
2λ+
=kd
smmUl ³ 2
)21(2
λ+= kd
dUcenHcMNucGMBøITutGb,brmaKWRKb;cMNucEdlsþitcm¶ayBIRbPBTIBIr ³
2)
21(2
λ+= kd )( Zk∈
2 > 1S nig 2S CaRbPBsUrBIrEdlmanpasRsbKña Edlmancm¶ayBIKña mSS 5.421 = . elI KnøgEkgCamYy 21SS kat;tam 2S manmnusSmñak;QrenARtg;cMNuc M Edl mMS 202 = dUcrUb . etIeRbkg;NamYyEdlsßitcenøaHBI Hz20 eTA Hz20000 énEdn sNþab;&sUrEdl mantémøGMBøITutGtibrma nigGb,brma ebIsUrmanel,ÓndMNal smv /340= ?
dMeNaHRsay
kMNt;eRbkg;énEdnsNþab;&EdlmanGMBøITutGtibrma nigGb,brma ³ -smIkarrlk 1S ³ )(2sin)(2sin 11
1 vdtfad
Ttay −=−= π
λπ
-smIkarrlk 2S ³ )(2sin)(2sin 222 v
dtfadTtay −=−= π
λπ
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 v
dTtfa
vd
Ttfayyy −+−=+= ππ
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
vdt
vdt
fvdt
vdt
fay ππ
1S 2S
M
viTüasa®sþrUbviTüafñak;TI12 - 3 - CMBUkTI02 emeronTI02
rlk - 3- hak; kusl
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +−⎟
⎠⎞
⎜⎝⎛ −
=vddtf
vddfay
22sincos2 2112 ππ
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ −
=v
ddfaA 12cos2 π
-GMBøITutGtibrma kalNa ³ kv
ddf ππ cos1cos 12 ==⎟
⎠⎞
⎜⎝⎛ −
smmUl ³ kv
ddf =
−× 12 naM[ ³
12 ddkvf−
=
eday ³ mMSdsmv 20,/340 22 === ( ) ( ) mMSSSMSd 5.20)20()5.4( 222
22
2111 =+=+== eyIg)n ³ kkf 680
5.2020340
=−×
= $ 680
fk =
eday HzfHz 2000020 ≤≤ eyIg)n ³ 03.068020
=≥k nig 29680
20000=≤k
dUcenH ³ kf 680= Edl ]29...,3,2,1[=k -GMBøITutGb,rma kalNa ³ ⎟
⎠⎞
⎜⎝⎛ +==⎟
⎠⎞
⎜⎝⎛ −
πππ kv
ddf
2cos0cos 12
smmUl ³ πππ kv
ddf +=
−
212 naM[ ³
fvkdd
2)12(12 +=−
naM[ ³ )12(3405.20202
340)12(2
)12(12
+=−
+=−
+= kkdd
vkf
smmUl ³ ⎟⎠⎞
⎜⎝⎛ −= 1
34021 fk
eday HzfHz 2000020 ≤≤ eyIg)n ³ 47.01
34020
21
−=⎟⎠⎞
⎜⎝⎛ −≥k nig 291
34020000
21
=⎟⎠⎞
⎜⎝⎛ −≤k
dUcenH ³ )12(340 += kf Edl ]29...,3,2,1,1[−=k 3 > RbPBsUr A sßitenAcm¶ay mAM 0.1= BICBa¢aMg. m:asIunft B sßitenAcm¶ay mBI 0.9= BICBa¢aMgEdl mMI 0.5= dUcrUb .
KNnaeRbkg;Gb,brmaénsUredIm,I ft)nGtibrma nigGb,brma .
viTüasa®sþrUbviTüafñak;TI12 - 4 - CMBUkTI02 emeronTI02
rlk - 4- hak; kusl
dMeNaHRsay
KNnaeRbkg;Gb,brmaénsUredIm,I ft)nGtibrma nigGb,brma ³ -smIkardMNalsUrBI A eTA B pÞal; Rtg;cMNuc B³ ⎥⎦
⎤⎢⎣⎡ −−=
vAB
vAMtfay )(2sin1 π
eday ³ smvmAM /340,0.1 == mAMIBMIAB 4.9)0.10.9(0.5)( 2222 =−+=−+= eyIg)n ³ )03.0(2sin
34043.9)
3400.1(2sin1 −=⎥⎦
⎤⎢⎣⎡ −−= tfatfay ππ
-smIkardMNalsUrBI M eTA B Rtg;cMNuc B ³
)sin(2 ϕω Δ−−= tay eday ³ )(2022
λπ
λπ
λπϕϕϕϕ AMMBAMMB
AMB−
=−−=−−=Δ eyIg)n ³ ⎥⎦
⎤⎢⎣⎡ −−−=⎥⎦
⎤⎢⎣⎡ −
−−= )2sin)(2sin2 vAMMBtfaAMMBtay π
λπω
eday ³ smvmAM /340,0.1 ==
mIBMIMB 3.100.90.5 2222 =+=+= eyIg)n ³ )027.0(2sin)
34013.102sin2 −−=⎥⎦⎤
⎢⎣⎡ −−−= tfatfay ππ
eyIg)nrlkt®mYtRtg;cMNuc B ³
)027.0(2sin)03.0(2sin21 −−−=+= tfatfayyy ππ
A
IM
B
A
IM
B
viTüasa®sþrUbviTüafñak;TI12 - 5 - CMBUkTI02 emeronTI02
rlk - 5- hak; kusl
tam ³ 2
cos2
sin2sinsin qpqpqp +−=−
eyIg)n ³ )2
027.003.0(2cos)2
027.003.0(2sin2 −+−+−−=
ttfttfay ππ smmUl ³ )028.0(2cos003.0sin2 −= tffay ππ eyIg)n ³ faA π003.0sin2= edIm,Ift)nsUrGtibrmakalGMBøITutt®mYtrlkmantémøGtibrma eyIg)n ³ )
2sin(1003.0sin kf πππ +==
smmUl ³ kf +=21003.0
naM[ ³ kkf 3103167003.05.0 −×+=+
= Edl Nk∈ eRbkg;mantémøGb,brmakalNa 0=k eyIg)n ³ HzfMin 167= 4 > Rtg;cMNucBIr 1S nig 2S enAelIépÞGgÁFaturavmYykñúgkøaMEdlmanRbPBrlkBIrman smIkar tAyy ωsin21 == . k > cUrsresrsmIkarrlktRmÜtRtg;cMNuc M enAelIépÞGgÁFaturavkñúgkøaMenaH cm¶ayBIcMNuc 1S nig 2S erogKña 1d nig 2d . x > sresrkenSamGMBøITuténrlktRmÜtenARtg;TItaMgEdlmantémøGtibrma nig TItaMgrlks¶b; . K > kMNt;bNþaTItaMgEdlmanlMeyaltRmÜtRsbpas .
dMeNaHRsay k > cUrsresrsmIkarrlktRmÜtRtg;cMNuc M ³ eyIgman ³ tAyy ωsin21 == eyIg)n ³ )(2sin,)(2sin 2
21
1 λπ
λπ
dTtAy
dTtAy −=−=
eyIg)n ³ )(2sin)(2sin 2111 λ
πλ
πd
TtA
dTtAyyy −+−=+=
viTüasa®sþrUbviTüafñak;TI12 - 6 - CMBUkTI02 emeronTI02
rlk - 6- hak; kusl
smmUl ³ ⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢
⎣
⎡ +−−−+−= )
2(2cos)
2(2sin2
2121
λλπλλπ
dTtd
Ttd
Ttd
Tt
Ay
smmUl ³ ⎥⎦⎤
⎢⎣⎡ −+
−= )(cos)2(sin2 1221
λπ
λπ
ddddTtAy
dUcenH ³ ⎟⎠⎞
⎜⎝⎛ +
−−
=λ
πω
λπ
)(sin)(cos2 2112 ddtddAy x > sresrkenSamGMBøITuténrlktRmÜtenARtg;TItaMgEdlmantémøGtibrma nig TItaMgrlks¶b; ³ eyIgman ³ ⎟
⎠⎞
⎜⎝⎛ +
−−
=λ
πω
λπ
)(sin)(cos2 2112 ddtddAy eyIg)n ³ )(cos2 12
λπ
ddAa
−=
-eBlrlks¶b; eyIg)nGMBøITutrlktRmYt ³ 0min =a -eBlrlktRmYtmanGMBøITutGtibrma ³ 1)(cos 12 ±=
−λ
π dd eyIg)n ³ Aa 2max ±= dUcenH ³ 0min =a Aa 2, max ±= K > kMNt;bNþaTItaMgEdlmanlMeyaltRmÜtRsbpas ³ eyIgman ³ ⎟
⎠⎞
⎜⎝⎛ +
−−
=λ
πω
λπ
)(sin)(cos2 2112 ddtddAy
eyIg)n ³ λ
πϕ
)( 21 dd +−=
eBlrlkRsbpasKña eyIg)n ³ kdd πλ
πϕ 2)( 21 =+
=Δ naM[ ³ λkdd 221 =+
dUcenHrlkRsbpassßitelIsNþaneGlIbEdlmankMNMu 1S nig 2S sßitRKab; TItaMgEdlman λkdd 221 =+ Edl )( *Nk ∈ . 5 > eKdak;düa):sugenAkñúgkøaMGgÁFaturavmYyeFVI[manlMj½rEdlmaneRbkg; Hzf 40=
viTüasa®sþrUbviTüafñak;TI12 - 7 - CMBUkTI02 emeronTI02
rlk - 7- hak; kusl
begáIt)nCaRbPBsUr 1S nig 2S EdlmanpasRsbKña . GMBøITuténrlkminERbRbYl cmA 0.1= nigmanel,ÓnbERmbRmYlpas scmv /0.2= .
k > sresrsmIkarrlktRmÜtRtg;cMNuc M enAelIépÞGgÁFaturavkñúgkøaMenaH cm¶ay 1S nig 2S RbEvg cmd 5.161 = nig cmd 0.172 = . x > KNnacMnYnRbg;rlkEdlmanGMBøITutGtibrmacenøaH 21SS ebI cmSS 1.021 = . K > bgðaj[eXIjfaral;cMNucenAelI 21SS Canic©kal lMeyalmanlMgakpas CamYynwgRbPB 21 ,SS nigrkcMNucCitbMputelIKnøgRtg;én 21SS manlMeyalRsb pasCamYynwgRbPB 1S nig 2S .
dMeNaHRsay k > sresrsmIkarrlktRmÜtRtg;cMNuc M ³ tamsmIkartRmYtrlk ³ ⎟
⎠⎞
⎜⎝⎛ +
−−
=λ
πω
λπ
)(sin)(cos2 2112 ddtddAy eday ³ cmdcmdcmA 0.7,5.16,0.1 21 ===
cms
scmfvvTsrdf 05.0
/40/0.2,/804022 =====×== λπππω
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ +
−−
×=05.0
)5.160.7(80sin)05.0
5.160.7(cos0.12 πππ ty smmUl ³ ( )ππ 47080sin2 −= ty dUcenH ³ ( ) ))(47080sin2 cmty ππ −= x > KNnacMnYnRbg;cenøaHRbPBTaMgBIr³ eyIgman ³ )(cos2 12
λπ ddAA −
= GMBøITutGtibrma eyIg)n ³ π
λπ kddAA sin1)(cos2 12 ==
−=
smmUl ³ πλ
π kdd=
− )( 12 naM[ ³ )(05.012 cmkkdd ==− λ m:üageTot ³ cmdd 1.012 =+
viTüasa®sþrUbviTüafñak;TI12 - 8 - CMBUkTI02 emeronTI02
rlk - 8- hak; kusl
eyIg)n ³ kkd205.005.0
205.010.0
2 +=+
= Et ³ cmkd 1.0
205.005.00 2 ≤+=≤
smmUl ³ 62 ≤≤− k eyIg)n ³ ]6,5,4,3,2,1,0,1,2[ −−∈k
dUcenHRbg;GMBøITutGtibrmaman 9 Rbg; . K > bgðaj[eXIjfaral;cMNucenAelI 21SS Canic©kallMeyalmanlMgakpas ³
eyIgman ³ ⎟⎠⎞
⎜⎝⎛ +
−−
=λ
πω
λπ
)(sin)(cos2 2112 ddtddAy
eyIg)nbERmbRmYlpas ³ λ
πϕ 21 dd +=Δ
eday ³ 02112 >=+ SSdd eyIg)n ³ 021 >=Δ
λπϕ SS
dUcenHral;cMNucTaMgLaysßitcenøaH 21SS rlkEtgEtmanlMgakpasCanic© . -rkcMNucCitbMputelIKnøgRtg;én 21SS manlMeyalRsbpas ³
eBllMeyalRsbpaseyIg)n ³ kdd πλ
πϕ 221 =+
=Δ smmUl ³ )(1.0)05.02(212 cmkkkdd =×==+ λ Edl *Nk∈ Rtg;TItaMgCitbMputkalNa 1=k ³ cmdd 1.012 =+ dUcenHlMeyalRsbpasRtg;TItaMgCitbMputtamlkçx½NÐ cmdd 1.012 =+ . 6 > RbPBrlkdUcKñaBIr 1S nig 2S manxYb T nigdaledayel,Ón v dUcKña . k > sresrsmIkarrlktRmYtRtg;cMNuc M Edlsßitcm¶ay 1d BI 1S nig 2d BI 2S . x > KNnaplsgdMeNIrrlkedIm,I[GMBøITuténrlktRmYtmantémøGtibrma nig Gb,brma . K > KUstagcMNucTaMgLayéntRmYtrlkEdlmanGMBøITutGtibrma nigGMBøITut
viTüasa®sþrUbviTüafñak;TI12 - 9 - CMBUkTI02 emeronTI02
rlk - 9- hak; kusl
Gb,brmaeFobnwgcMNucRbPBTaMgBIr . X > kMNt;GMBøITut nigpasedImRtg;cMNuc 1M Edl )10,5.12( 21 cmdcmd == nigRtg;cMNuc 2M Edl )10',20'( 21 cmdcmd == ebI sTsmvcma 1.0,/1,0.5 === .
dMeNaHRsay k > sresrsmIkarrlktRmYtRtg;cMNuc M ³ -smIkarrlkRtg;cMNucRbPBnImYy ³
Ttayy π2sin21 ==
-smIkarrlk 1S ³ )(2sin)(2sin 111 v
dtfa
dTtay −=−= π
λπ
-smIkarrlk 2S ³ )(2sin)(2sin 222 v
dtfa
dTtay −=−= π
λπ
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 v
dTtfa
vd
Ttfayyy −+−=+= ππ
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
vdt
vdt
fvdt
vdt
fay ππ
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +−⎟
⎠⎞
⎜⎝⎛ −
=vddtf
vddfay
22sincos2 2112 ππ
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ +−⎟
⎠⎞
⎜⎝⎛ −
=vddt
Tvdd
Tay
22sincos2 2112 ππ
x > KNnaplsgdMeNIrrlkedIm,I[GMBøITutrlktRmYtmantémøGtibrma nig Gb,brma ³ eyIgman ³ ⎟
⎠⎞
⎜⎝⎛ −
=v
ddT
aA 12cos2 π
-GMBøITutmantémøGtibrma kalNa ³ 1cos2 12 =⎟⎠⎞
⎜⎝⎛ −
=v
ddT
aA π
smmUl ³ )(12 Zkkv
ddT
∈=⎟⎠⎞
⎜⎝⎛ − ππ
naM[ ³ kvTdd =− 12 -GMBøITutmantémøGb,brma kalNa ³ 0cos2 12 =⎟
⎠⎞
⎜⎝⎛ −
=v
ddT
aA π
smmUl ³ )(2
12 Zkkv
ddT
∈+=⎟⎠⎞
⎜⎝⎛ − πππ
viTüasa®sþrUbviTüafñak;TI12 - 10 - CMBUkTI02 emeronTI02
rlk - 10- hak; kusl
naM[ ³ 2
)12(12vTkdd +=−
K > KUstagcMNucTaMgLayéntRmYtrlkEdlmanGMBøITutGtibrma nigGMBøITut Gb,brma ³ TaMgcMNucEdlmanGMBøITutGtibrma nigGb,brmasuT§EtsßitelIRKYsarGIUEBbUl EdlmankMNuM 1S nig 2S . eyIg)nRbg;GaMgETepr:g;CaGIuEBbUlBIrsNþan EdlsNþan TImYytagedayGIuEBbUldac;²CacMNucEdlmanGMBøITutGb,brma ÉGIuEBbUlCatag[ cMNucEdlmanGMBøITutGtibrma . X > kMNt;GMBøITut nigpasedImRtg;cMNuc 1M nig 2M ³
eyIgman ³ ⎟⎠⎞
⎜⎝⎛ +−⎟
⎠⎞
⎜⎝⎛ −
=vddt
Tvdd
Tay
22sincos2 2112 ππ
eday ³ sTscmsmvcma 1.0,/100/1,0.5 ==== eyIg)n ³ )
1002(
1.02sin)
100(
1.0cos0.52 1212
×+
−−
×=ddtddy ππ
smmUl ³ )200
(20sin)(10
cos0.10 1212
ddtddy +−−= ππ
-Rtg;TItaMg 1M ³ cmdcmd 10,5.12 21 == eyIg)n ³ )
2005.1210(20sin)5.1210(
10cos0.10 +
−−= ty ππ smmUl ³ )25.220(sin07.7 ππ −= t y dUcenH ³ rdcmA πϕ 25.2,07.7 11 −==
)0( <A
)( MaxA
2S1S
viTüasa®sþrUbviTüafñak;TI12 - 11 - CMBUkTI02 emeronTI02
rlk - 11- hak; kusl
-Rtg;TItaMg 2M ³ cmdcmd 10',20' 21 == eyIg)n ³ )
2002010(20sin)2010(
10cos0.10 +
−−= ty ππ smmUl ³ tt y πππ 20sin0.10)320(sin0.10 −=−−= dUcenH ³ rdcmA 0,0.10 11 =−= ϕ 7 > RbPBlMj½rBIrmanGMBøITut nigpasdUcKñaEdlmaneRbkg; Hz440 dalBIcugTaMgBIrén ExSmYy . k > KNnael,ÓndMNalénrlknImYy² ebIcm¶ayrvagkMBUlrlkBIresμI mm2 . x > kMNt;cMNuc M edIm,I[rlktRmYtmanGMBøITutGtibrma . K > kMNt;cMnYnrlkebI M sßitcenøaHcMNuc A nigcMNuc B Edl cmAB 4= .
dMeNaHRsay k > KNnael,ÓndMNalénrlknImYy² ³ tamrUbmnþ ³ f
Tv λλ
== eday ³ mmmHzf 31022,440 −×=== λ eyIg)n ³ smv /88.0440102 3 =××= − dUcenH ³ smv /88.0= x > kMNt;cMNuc M edIm,I[rlktRmYtmanGMBøITutGtibrma³ -smIkarrlk 1S ³ )(2sin 1
1 λπ d
Ttay −=
-smIkarrlk 2S ³ )(2sin 22 λ
π dTtay −=
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 λ
πλ
π dTtad
Ttayyy −+−=+=
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
λλπλλπ
dTtd
Ttd
Ttd
Tt
ay
viTüasa®sþrUbviTüafñak;TI12 - 12 - CMBUkTI02 emeronTI02
rlk - 12- hak; kusl
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +
−⎟⎠⎞
⎜⎝⎛ −
=λ
πλ
π2
2sincos2 2112 ddTtdday
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ −
=λ
π 12cos2 ddaA
-GMBøITutGtibrma kalNa ³ kdd πλ
π cos1cos 12 ==⎟⎠⎞
⎜⎝⎛ −
smmUl ³ kdd=
−λ
12 naM[ ³ λkdd =− 12 )( Zk∈ dUcenHrlktRmYtmanGMBøITutGtibrmaRKb;cMNucTaMgLayNaEdlmanplsgdM
eNIr ³ kmmdd )2(12 =− )( Zk∈ K > kMNt;cMnYnrlkcenøaHcMNuc A nigcMNuc B ebI cmAB 4= ³ ebI M sßitcenøaH AB eyIg)n ³ ABdd =+ 21 naM[ ³ 21 dABd −= m:üageTot ³ λkdd =− 12 naM[ ³ λkdd += 12 eyIg)n ³ λkdABd +−= 11 smmUl ³
221λkABd +=
dUcenH ³ ABkABd <+=<22
0 1λ
eday ³ cmmmcmAB 2.02,4 === λ eyIg)n ³ 4
22.0
240 <+< k smmUl ³ 2020 <<− k
eyIg)n ³ ]20,19,...,2,1,0,...18,19,20[ −−−=k dUcenHcMnYnrlkcenøaH AB mancMnYn 39 rlk .
8 > RbPBrlkdUcKñaBIr 1S nig 2S sßitcm¶ayBIKña mSS 1621 = maneRbkg;dUcKña Hzf 420= manGMBøITutesμIKña a nigpasdUcKña . rlknImYy²manel,ÓndMNal sm /336 . cMNúc
0M CacMNuckNþalén 21SS nigcMNuc 1M sßitcenøaH 21SS cm¶ay cm20 BIcMNuc 0M . k > KNnaGMBøITutrrlktRmYtRtg;cMNuc 1M . etI 1M CaTItaMgGVI ? x > kMNt;TItaMgrlks¶b; nigcMnYnrlkcenøaHRbPBTaMgBIr .
dMeNaHRsay
viTüasa®sþrUbviTüafñak;TI12 - 13 - CMBUkTI02 emeronTI02
rlk - 13- hak; kusl
k > KNnaGMBøITutrrlktRmYtRtg;cMNuc 1M ³ -smIkarrlk 1S ³ )(2sin 1
1 λπ d
Ttay −=
-smIkarrlk 2S ³ )(2sin 22 λ
π dTtay −=
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 λ
πλ
π dTtad
Ttayyy −+−=+=
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
λλπλλπ
dTtd
Ttd
Ttd
Tt
ay
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +
−⎟⎠⎞
⎜⎝⎛ −
=λ
πλ
π2
2sincos2 2112 ddTtdday
eyIg)n ³ ⎟⎠⎞
⎜⎝⎛ −
=λ
π 12cos2 ddaA eday ³ m
fvmdmd 8.0
420336,2.08,2.08 21 ====±= λm
eyIg)n ³ 02
cos28.0
2.082.08cos2 =⎟⎠⎞
⎜⎝⎛±=⎟
⎠⎞
⎜⎝⎛ −±
=ππ aaA m
dUcenH ³ 0=A eyIg)n 1M CaTItaMgrlks¶b; . x > kMNt;TItaMgrlks¶b; nigcMnYnrlkcenøaHRbPBTaMgBIr ³ eyIgman ³ 0cos2 12 =⎟
⎠⎞
⎜⎝⎛ −
=λ
πddaA
eyIg)n ³ 2
)12(12λ
+=− kdd (1)
m:üageTotcMNuc M sßitcenøaHRbPBTaMgBIreyIg)n ³ 2112 SSdd =+ (2)
(1) + (2) eyIg)n ³ 2
)12(2 212λ
++= kSSd $ 4)12(2
212 ++= kSSd
eday ³ mSS 1621 = eyIg)n ³ 164)12(
2160 2 <++=< kd $ 164.02.80 2 <+=< kd
smmUl ³ 5.195.20 <<− k dUcenHcenøaHRbPBTaMgBImancMnYn 40 rlk nigmanTItaMgrlks¶b;b;TItaMg
viTüasa®sþrUbviTüafñak;TI12 - 14 - CMBUkTI02 emeronTI02
rlk - 14- hak; kusl
TaMgLayNaEdlmancm¶ay )(4.02.82 mkd += BIRbPB 2S Edl Zk∈ . 9 > RbPBrlkmYycab;epþImdalecjBIcMNuc A edayGMBøITut cma 5= manxYb s5.0 nig manel,ÓndMNal scmv /40= . k > sresrsmIkarrlkRtg;cMNuc A nigRtg;cMNuc M Edlsßitcm¶ay cm50 BI cMNuc A . x > kMNt;TItaMgTaMgLayEdlmanpaslMeyalduccMNuc A .
dMeNaHRsay k > sresrsmIkarrlkRtg;cMNuc A nigRtg;cMNuc M ³ -smIkarrlkRtg;cMNuc A ³ tamsmIkarlMeyal ³ )sin( ϕω += tay eday ³ 0,4
5.022,5 ===== ϕπππω rd
Tcma
eyIg)n ³ )(4sin5 cmtyA π= -smIkarrlkRtg;cMNuc M ³ eyIgman ³ )sin( ϕω Δ−= tayM eday ³
λπϕ d2=Δ
eyIg)n ³ )2sin(λ
πω dtayM −= Et ³ cmdcmsscmvT 50,205.0/40 ==×==λ eyIg)n ³ )54sin(5)
205024sin(5 ππππ −=−= ttyM
dUcenH ³ )()54sin(5 cmtyM ππ −= x > kMNt;TItaMgTaMgLayEdlmanpaslMeyalduccMNuc A ³ eyIgman ³
λπϕ d2=Δ
eBlrlkmanpasRsbnwgcMNuc A eyIg)n ³ kd πλ
πϕ 22 ==Δ
viTüasa®sþrUbviTüafñak;TI12 - 15 - CMBUkTI02 emeronTI02
rlk - 15- hak; kusl
naM[ ³ kkd 20== λ Edl Zk ∈ dUcenHcMNucEdlmanpasRsbnwgcMNuc A KWcMNucTaMgLayNaEdlsßit cm¶ayBIcMNuc A ³ )(20 Zkkd ∈= 10 > rlkGaMgETepr:g;BIrmanRbPBsßitcm¶ayBIKña cmSS 221 = EdlrlknImYy²man eRbkg; Hzf 100= manel,ÓndMNal scmv /37= nigpasdUcKña .
k > kMNt;TItaMgcMNuc M edIm,I[rlkRsbpas . x > KUsrUbbBa¢ak;BIdMeNIrrlkcenøaHRbPBTaMgBIr .
dMeNaHRsay k > kMNt;TItaMgcMNuc M ³ -smIkarrlk 1S ³ )(2sin 1
1 λπ d
Ttay −=
-smIkarrlk 2S ³ )(2sin 22 λ
π dTtay −=
eyIg)ntRmYtrlk ³ )(2sin)(2sin 2121 λ
πλ
π dTtad
Ttayyy −+−=+=
smmUl ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ +−−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −+−=
22cos
22sin2
2121
λλπλλπ
dTtd
Ttd
Ttd
Tt
ay
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +
−⎟⎠⎞
⎜⎝⎛ −
=λ
πλ
π2
2sincos2 2112 ddTtdday
smmUl ³ ⎟⎠⎞
⎜⎝⎛ +
−⎟⎠⎞
⎜⎝⎛ −
=λ
ππλ
π 2112 2sincos2 ddftdday
-ebI 0cos2 12 >⎟⎠⎞
⎜⎝⎛ −
=λ
πddaA eyIg)n ³ kdd
πλ
πϕ 221 =+
=Δ naM[ ³ λkdd 221 =+ (1)
-ebI 0cos2 12 <⎟⎠⎞
⎜⎝⎛ −
=λ
πddaA eyIg)n ³ ππ
λπϕ −=
+=Δ kdd 221
naM[ ³ λ)12(21 −=+ kdd (2)
viTüasa®sþrUbviTüafñak;TI12 - 16 - CMBUkTI02 emeronTI02
rlk - 16- hak; kusl
(1) nig (2) eyIg)n ³ λ'21 kdd =+ )'( *Nk ∈ dUcenHcMNucEdlrlkmanpasRsbKñaKWRKb;cMNucTaMgLayNaEdlmanlkçx½NÐ ³ λ'21 kdd =+ )'( *Nk ∈ -ebI 'k CacMnYnKU enaHrlkTaMgBIrmanGMBøITutviC¢man . -ebI 'k CacMnYness enaH rlkTaMgBIrmanGMBøITutGviC¢manKWmanpasRsbKñaEtQm nwg pasmun . x > KUsrUbbBa¢ak;BIdMeNIrrlkcenøaHRbPBTaMgBIr eyIgman ³ λ'21 kdd =+ m:üageTot ³ 2121 SSdd ≤+ eyIg)n ³
λ21' SSk ≤
eday ³ cmsscm
fvcmSS 27.0
/100/37,221 ==== λ
eyIg)n ³ 4.537.02' =≤
cmcmk
dUcenH ³ 6'≤k -ebI 'k CacMnYnKUenaH )0( >A -ebI 'k CacMnYnessenaH )0( <A 11 > RbPBrlkBIr 1S nig 2S manpas nigGMBøITutdUcKña sßitcm¶ayBIKña cmlSS 421 == . rlknImYy²daledayel,Ón smv /6.1= nigmaneRbkg; Hzf 400= . k > kMNt;cMnYnrlkcenøaHRbPBTaMgBIrEdlmanGMBøITutGtibrma nuigGb,brma . x > cMNuc M mYysßitelIExSEkgkat;tamcMNucRbPB 2S sßitcm¶ay
mDMS 12 == BI 2S nigsßitcm¶ay x BIExSemdüaT½rénGgát; 21SS . kMNt;témø x edIm,I[GMBøITutrlkRtg; cMNuc M mantémøGtibrma ebI xlD ,>> .
dMeNaHRsay
)0( >A
)0( <A
2S1S
viTüasa®sþrUbviTüafñak;TI12 - 17 - CMBUkTI02 emeronTI02
rlk - 17- hak; kusl
k > kMNt;cMnYnrlkcenøaHRbPBTaMgBIr ³ -rlkmanGMBøITutGtibrmakalNa ³ λkdd =− 21 m:üageTot ³ ldd =+ 21 eyIg)n ³ lkd += λ12 naM[ ³
221lkd +=
λ eday ³ cmm
fvcml 4.0004.0
4006.1,4 ===== λ
eyIg)n ³ )()22.0(24
24.0
1 cmkkd +=+= m:üageTot ³ ld << 10 smmUl ³ 4)22.0(0 <+< k smmUl ³ 1010 <<− k dUcenHeyIg)ncMnYnrlk 19 . -rlkmanGMBøITutGb,brmakalNa ³
2)12(21λ
+=− kdd m:üageTot ³ ldd =+ 21 eyIg)n ³ lkd ++=
2)12(2 1λ
naM[ ³ 24
)12(1lkd ++=
λ eyIg)n ³ 1.22.021.0)12(
24
44.0)12(1 +=++=++= kkkd
m:üageTot ³ ld << 10 smmUl ³ 4)1.22.0(0 <+< k smmUl ³ 5.95.10 <<− k dUcenHeyIg)ncMnYnrlk 20 . K > KNna x ³ kñúgRtIekaNEkg MSS 21 ³ 22
22
1 ldd += smmUl ³ )2()2(2
22
1 xlxldd =×=− smmUl ³ lxdddd 2))(( 2121 =+− eday xlD ,>> eyIg)n ³ Ddd 221 ≈+
M
2S1S
O
D
viTüasa®sþrUbviTüafñak;TI12 - 18 - CMBUkTI02 emeronTI02
rlk - 18- hak; kusl
eyIg)n ³ lxDdd 22)( 21 =− smmUl ³ Dlxdd =− 21
m:üageTotGMBøITutGtibrmakalNa ³ λkdd =− 21 eyIg)n ³
Dlxk =λ naM[ ³
lDkx λ
= eday ³ cmmDcmcml 1001,4.0,4 ==== λ eyIg)n ³ kkx 10
44.0100=
×=
dUcenH ³ kx 10= Edl )( *Nk∈ 12 > rlkGaMgETepr:g;mYyekItecjBIclnarlkBIrEdlmanRbPBRtg;cMNuc 1O nig 2O . eKdwgfaRtg;cMNuc M EdlCaTItaMgrlks¶b; rlkTaMgBIrmanplsgdMeNIr
cmdd 07.121 =− nigRtg;cMNuc 'M rlkdal)ncMnYn 12 kMBUleTotmanplsgdMeNIr cmdd 67.321 =− . KNnaCMhanrlk nigel,ÓndMNalénrlknImYy² ebIrlk
nImYy²maneRbkg; Hzf 125= . dMeNaHRsay
KNnaCMhanrlk nigel,ÓndMNalénrlknImYy² ³ -Rtg;cMNuc M CaTItaMgrlks¶b; eyIg)nGMBøITutesμIsUnü ³
2)12(21λ
+=− kdd -Rtg;cMNuc M’ rlkdal)n 12kMBUl eyIg)n ³
2)1)11(2('' 21λ
++=− kdd smmUl ³
2)2212('' 21λ
++=− kdd eday ³ cmddcmdd 67.3'',07.1 2121 =−=− eyIg)n ³ cmk 07.1
2)12( =+λ
smmUl ³ λ
207.112 ×=+
cmk (1)
cmk 67.32
)2212( =++λ
smmUl ³ 22267.312 −×
=+λcmk (2)
M
2S1S
O
1d2d
viTüasa®sþrUbviTüafñak;TI12 - 19 - CMBUkTI02 emeronTI02
rlk - 19- hak; kusl
(1) - (2) ³ 22267.3207.1−
×=
×λλcmcm $ λ2234.714.2 −=
naM[ ³ cm24.022
14.234.7=
−=λ
m:üageTot ³ scmHzcmfv /3012524.0 =×== λ dUcenH ³ scmvcm /30,24.0 ==λ 13 > ExSmYymanRbEvg l RtUv)nP¢ab;cugmçageTAnwgcMNucnwg A ÉcugmçageTotP¢ab;nwg düa):sugRtg;cMNuc O dUcrUb . eKbegáIt[manlMj½rEdlmaneRbkg; f nigmanel,Ón dMNal v . enAxN³ 0=t lMj½rcab;epþImdalecjBITItaMg O . k > sresrsmIkarlMeyalRtg;cMNuc M Edlsßitcm¶ay d BIcMNuc A . x > kMNt;TItaMgfñaMg nigKNnaRbEvgcenøaHfñaMgnImYy² . K > kMNt;TItaMgeBaHEdlmanGMBøITutGtibrma nigKNnaGgát;pi©teBaHnImYy². eK[ ³ cmaHzfsmvcmd 75.0,250,/80,64 ====
dMeNaHRsay k > sresrsmIkarlMeyalRtg;cMNuc M ³ -smIkarrlkRtg;cMNuc O ³ )sin( ϕω += tayO enAxN³ 0=t enaH 0=y eyIg)n ³ 0sin == ϕayO Edl 0>yv eyIg)n ³ )0cos(0 >== ϕωϕ avy dUcenH ³ ftatayO πω 2sinsin == -smIkarrlkdalBIRbPBRtg;cMNuc M ³ )(2sin
λπ dltfay OM
−−=
-smIkarrlkdalBIcMNuc A Rtg;cMNuc M ³ )(2sinλ
π dltfayMA+
−−=
d dl −A
M O
viTüasa®sþrUbviTüafñak;TI12 - 20 - CMBUkTI02 emeronTI02
rlk - 20- hak; kusl
eyIg)nrlktRmYtRtg;cMNuc M ³ MOMAM yyy += smmUl ³ )(2sin)(2sin
λπ
λπ dltfadltfayM
+−−
−−=
tam ³ 2
cos2
sin2sinsin qpqpqp +−=−
eyIg)n ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −−++−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ ++−+−=
22cos
22sin2 λλλλπλλλλπ
dlftdlftdlftdlftayM
smmUl ³ )(2cos2sin2λ
πλπ ltfdayM −=
eday ³ cmaHzfcmmfv 75.0,250,3232.0
25080
======λ
cmd 64= eyIg)n ³ tdtdyM ππππ 500cos
16sin5.1)
3264250(2cos
322sin75.02 =−×=
dUcenH ³ )(500cos16
sin5.1 cmtdyM ππ= Edl ),( stcmd →→
x > kMNt;TItaMgfñaMg nigKNnaRbEvgcenøaHfñaMgnImYy² ³ -Rtg;fñaMnImYy²rlkmanGMBøITutesμIsUnü eyIg)n ³ 0
16sin5.1 ==
dA π smmUl ³ ππ kd sin
16sin = smmUl ³ ππ kd
=16
naM[ ³ kd 16= Et ³ ld ≤≤0 smmUl ³ cmk 64160 ≤≤ eyIg)n ³ 40 ≤≤ k dUcenHTItaMgfñaMgsßitcm¶ay kd 16= BIcMNuc A Edl 40 ≤≤ k . -RbEvgcenøaHfñaMgnImYy² ³ cmkkkki 1616161616)1(16 =−+=−+= dUcenH ³ cmi 16= K > kMNt;TItaMgeBaHEdlmanGMBøITutGtibrma ³ -TItaMgeBaHrlkmanGMBøITutGtibrma eyIg)n ³ )
2sin(1
16sin πππ kd
+==
viTüasa®sþrUbviTüafñak;TI12 - 21 - CMBUkTI02 emeronTI02
rlk - 21- hak; kusl
smmUl ³ πππ kd+=
216 smmUl ³ kd 168 +=
Et ³ ld ≤≤0 smmUl ³ cmk 641680 ≤+≤ eyIg)n ³ 5.35.0 ≤≤− k dUcenHTItaMgeBaHsßitcm¶ay 816 += kd BIcMNuc A Edl 5.35.0 ≤≤− k . - KNnaGgát;pi©teBaHnImYy² ³ eyIgman ³
16sin5.1 dA π
= GMBøITut A mantémøGtibrmakalNa 1
16sin =
dπ eyIg)n ³ cmA 5.1max = eyIg)nGgát;p©iteBaHnImYy² ³ cmcmAy 325.12 max =×==Δ dUcenH ³ cmy 3=Δ 14 > ExSmYymanRbEvg lOA = Edlcug O RtUv)nP¢ab;nwgdüa):sug nigcug A P¢ab;nwgcMNucnwgmYy . eKbegáIt[manlMj½redaycab;epþIm dalBIcMNuc O edayminmandMNalRtLb;EdlmansmIkarlMeyal ³
ftay O π2sin)( = k > sresrsmIkarlMeyalRtg;cMNuc M Edl dAM = . x > kMNt;TItaMgfñaMg TItaMgeBaH nigRbEvgcenøaHfñaMgnImYy² .
dMeNaHRsay k > sresrsmIkarlMeyalRtg;cMNuc M ³ -smIkarrlkdalBIRbPBRtg;cMNuc M TI1³
)(2sin)(2sin1 λππ dlfta
vdltfayM
−−=
−−=
-smIkarrlkdalBIRbPBRtg;cMNuc M TI2³ )(2sin)(2sin1 λ
ππ ldftavl
vdtfayM
+−=−−=
eyIg)nrlktRmYtRtg;cMNuc M ³ MOMAM yyy +=
A
Md
viTüasa®sþrUbviTüafñak;TI12 - 22 - CMBUkTI02 emeronTI02
rlk - 22- hak; kusl
smmUl ³ )(2sin)(2sin21 λπ
λπ ldftadlftayyy MM
+−+
−−=+=
tam ³ 2
cos2
sin2sinsin qpqpqp −+=+
eyIg)n ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ ++−+−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −−++−=
22cos
22sin2 λλλλπλλλλπ
dlftdlftdlftdlftayM
smmUl ³ )2(2cos)(2sin2λ
πλ
π dlftayM −= dUcenH ³ )(2sin2cos2
λπ
λπ ltfdayM −=
x > kMNt;TItaMgfñaMg TItaMgeBaH nigRbEvgcenøaHfñaMgnImYy² ³ eyIgman ³
λπ daA 2cos2=
-Rtg;TItaMgfñaMgrlkmanGMBøITutGb,brma eyIg)n ³ 02cos2 ==λ
π daA smmUl ³ )
2cos(2cos ππ
λπ += kd smmUl ³
22 ππ
λπ += kd
smmUl ³ 4
)12( λ+= kd
dUcenHTItaMgfñaMgsßitcm¶ay 4
)12( λ+= kd BIcMNuc A Edl )( Zk∈ .
-TItaMgeBaH ³ 12cos2 ==λ
π daA smmUl ³ kd π
λπ cos2cos = smmUl ³ kd π
λπ =2
smmUl ³ 2λkd =
dUcenHTItaMgeBaHsßitcm¶ay 2λkd = BIcMNuc A Edl )( Zk∈ .
-RbEvgcenøaHfñaMgnImYy²³ 222
)1(1λλλ
=−+=−= + kddi kk dUcenH ³
2λ
=i
viTüasa®sþrUbviTüafñak;TI12 - 23 - CMBUkTI02 emeronTI02
rlk - 23- hak; kusl
15 > eKdab;bMBg;mYydUcrUbEdlmankm<s; mlAM 5.1== . eK begáItlMj½rmYyEdlmanel,ÓndMNal smv /324= begáItCa rlkC®BaúM¢kñúgbMBg;manBIrfñaMgknøHEdlfñaMgTImYysßitRtg;cMNuc A . k > KNnaeRbkg;énlMeyal . x > sresrsmIkarlMeyalRtg;cMNuc M Edlsßitcm¶ay x BIcMNuc A .
dMeNaHRsay k > KNnaeRbkg;énlMeyal ³ rlkC®Ba¢úMdalkñúgbMBg;manBIrfñaMknøH eyIg)n ³
45
25.2
2λλλ
=== nl naM[ ³
fvl
==54λ $
lvf
45
= eday ³ mlsmv 5.1,/342 == eyIg)n ³ Hzf 285
5.143245
=××
= dUcenH ³ Hzf 285= x > sresrsmIkarlMeyalRtg;cMNuc M ³ -smIkarrlkdalBIRbPBRtg;cMNuc M ³ )(2sin
λπ xltfayMO
−−=
-smIkarrlkdalBIcMNuc A Rtg;cMNuc M ³ )(2sinλ
π xltfayMA+
−−= eyIg)nrlktRmYtRtg;cMNuc M ³ MOMAM yyy += smmUl ³ )(2sin)(2sin
λπ
λπ xltfaxltfayM
+−−
−−=
tam ³ 2
cos2
sin2sinsin qpqpqp +−=−
eyIg)n ³ ⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ −−++−
⎟⎟⎟⎟
⎠
⎞
⎜⎜⎜⎜
⎝
⎛ ++−+−=
22cos
22sin2 λλλλπλλλλπ
xlftxlftxlftxlftayM
smmUl ³ )(2cos2sin2λ
πλπ ltfxayM −=
A
B
.Mx
viTüasa®sþrUbviTüafñak;TI12 - 24 - CMBUkTI02 emeronTI02
rlk - 24- hak; kusl
eday ³ 4
55.1 λ== ml
eyIg)n ³ )45(2cos2sin2)
45(2cos2sin2 −=−= tfxatfxayM π
λπ
λλπ
λπ
dUcenH ³ tfxayM πλ
π 2sin2sin2= 16 > rlkTTwgmYydalBIcMNuc A edayGMBøITut cm2 nigxYb s6.1 . rlkdalkñúgry³eBl s3 )ncm¶ay m12 . k > KNnaCMHanrlk λ . x > enAxN³ 0=t rlkcab;epþImdalBIcMNuc A . cUrsresrsmIkarrlkRtg; cMNuc M Edlsßitcm¶ay m6.1 BIcMNuc A .
dMeNaHRsay k > KNnaCMHanrlk λ ³ tamrUbmnþ ³ vT=λ eday ³ sTsm
sm
tsv 6.1,/4
312
===ΔΔ
= eyIg)n ³ mssm 4.66.1/4 =×=λ dUcenH ³ m4.6=λ x > sresrsmIkarrlkRtg; cMNuc M ³ -smIkarrlkRtg;cMNuc A ³ )0(sin == ϕω tayA eday ³ srd
Tcma /
45
6.122,2 πππω ====
eyIg)n ³ )(4
5sin2 cmtyAπ
= Edl ⎟⎠⎞
⎜⎝⎛ ≥
vAMt
eday ³ λ
πϕ AM2=Δ eyIg)nsmIkarrlkRtg;cMNuc M ³ )2
45sin(
λππ AMtayM −=
eday ³ cmammAM 2,4.6,6.1 === λ
viTüasa®sþrUbviTüafñak;TI12 - 25 - CMBUkTI02 emeronTI02
rlk - 25- hak; kusl
eyIg)n ³ )()24
5sin(2)4.66.12
45sin(2 cmt
mmtyM
ππππ−=−=
dUcenH ³ )()24
5sin(2 cmtyMππ
−= Edl )4.0( st ≥ 17 > eKbegáItlMeyalmYyEdlmanxYb s5.0 nigCMhanrlk m5.0 eday[rlkcab;epþIm dalecjBIcMNuc O . k > KNnael,ÓndMNalrlk . x > cUrsresrsmIkarlMeyalRtg;cMNuc O ebIrlkmanGMBøITutlMeyal cm2 . K > cUrsresrsmIkarlMeyalRtg;cMNuc M Edlsßitcm¶ay cmOM 25.1= BI cMNuc O .
dMeNaHRsay k > KNnael,ÓndMNalrlk ³ tamrUbmnþ ³
Tv λ=
eday ³ sTm 5.0,5.0 ==λ eyIg)n ³ sm
smv /1
5.05.0
== dUcenH ³ smv /1= x > sresrsmIkarlMeyalRtg;cMNuc O ³ tamsmIkarlMeyal ³ )sin( ϕω += tay rlkcab;epþImBIcMNuc O enAxN³ 0=t eyIg)n ³ ϕsin0 a= eday ³ 0)cos( >+= ϕωω tavy eyIg)n ³ 0=ϕ Et ³ srd
Tcma /4
5.022,2 πππω ====
eyIg)n ³ )(4sin2 cmtyO π= Edl )0( ≥t
K > sresrsmIkarlMeyalRtg;cMNuc M ³
viTüasa®sþrUbviTüafñak;TI12 - 26 - CMBUkTI02 emeronTI02
rlk - 26- hak; kusl
eyIgman ³ )(4sin2 cmtyO π= -eBldalBIcMNuc O eTAcMNuc M rlkmanbERmbRmYlpas ³
rdcmcmOM ππ
λπϕ 5
5.025.122 ===Δ
eyIg)n ³ )4sin(2)54sin(2 ππππ −=−= ttyM dUcenH ³ )()4sin(2 cmtyM ππ −= Edl )25.1( st ≥ 18 > clnarlkmYymanel,ÓndMNal scmv /60= mansmIkarlMeyalRtg;cMNuc A ³ )(
25sin2 cmtyAπ
= Edl )0( ≥t k > KNnaCMHanrlk λ . x > cUrsresrsmIkarclnarlkRtg;cMNuc M Edl
cmAM 24= nigKUsdüaRkamtagGnuKmn_ )(tfyM = . dMeNaHRsay
k > KNnaCMHanrlk λ ³ tamrUbmnþ ³ vT=λ eday ³ sTscmv
54
2522,/60 ====ππ
ωπ
eyIg)n ³ cmsscm 4854/60 =×=λ
dUcenH ³ cm48=λ x > sresrsmIkarclnarlkRtg;cMNuc M ³ eyIgman ³ )(
25sin2 cmtyAπ
= -eBldalBIcMNuc A eTAcMNuc M rlkmanbERmbRmYlpas ³
rdcmcmAM ππ
λπϕ ===Δ
482422
eyIg)n ³ )2
5sin(2)52
5sin(2 ππππ−=−= ttyM
viTüasa®sþrUbviTüafñak;TI12 - 27 - CMBUkTI02 emeronTI02
rlk - 27- hak; kusl
dUcenH ³ )()2
5sin(2 cmtyM ππ−= Edl )4.0( st ≥
- düaRkamtagGnuKmn_ )(tfyM = ³ 19 > e):lrWus½rQrmYyRtUv)nP¢ab;nwgcMNucm:as kgm 625.0= manefrkMr:aj
mNk /400= . m:as m RtUv)nP¢ab;eTAnwgcMNucnwg B tamry³ExSmYyEdlmanRbEvg mlAB 3== . eBleKeFVI[manlMeyal ExS AB begáItCarlkC®Ba¢úMEdlman 6 fñaMg .
KNnael,ÓndMNalrlk edayyk 102 =π . dMeNaHRsay
KNnael,ÓndMNalrlk ³ tamrUbmnþ ³
22vTkkAB ==
λ naM[ ³
kTABv 2
=
eday ³ sKm
KmT 25.0
400625.010222
2
=×
===ππ
mlABk 3,6 === eyIg)n ³ sm
smv /425.06
32=
××
= dUcenH ³ smv /4= 20 > rlkC®Ba¢úMmYyekIteLIgelIRbEvgExS mAB 2.1= begáItCaeBaHcMnYn 4 EdlbgáeLIg edayrlkEdlmaneRbkg; Hzf 50= . KNnael,ÓndMNalrlk .
A B
O
O
2
2−
4.0 8.0 2.1 6.1 0.2 )(st
)(cmy
viTüasa®sþrUbviTüafñak;TI12 - 28 - CMBUkTI02 emeronTI02
rlk - 28- hak; kusl
dMeNaHRsay KNnael,ÓndMNalrlk ³ tamrUbmnþ ³ f
Tv λλ
== eday ³
2λkAB = naM[ ³ mm
kAB 6.0
42.122
=×
==λ
Hzf 50= eyIg)n ³ smv /30506.0 =×= dUcenH ³ smv /30= 21 > eKbegáItlMj½relIExS AB mYyEdlmanxYb s02.0 manGMBøITut mm2 nigel,ÓndMNal
smv /5.1= . rlkcab;epþImdalBIcMNuc A eTAcMNuc B nigRtLb;BIcMNuc B mkTItaMg A
vij . Rtg;cMNUc B rlkmansmIkarlMj½r tayB ωsin= . cUrsresrsmIkarrlkRtg;cMNuc M Edlsßitcm¶ay cm5.0 BIcMNuc B nig
KNnacMnYneBaHrlkelIRbEvgExS AB Edl mAB 3.0= . dMeNaHRsay
sresrsmIkarrlkRtg;cMNuc M ³ - smIkarrlkRtg;cMNuc B ³ tayB ωsin= - smIkarrlkRtg;cMNuc M eBldalBIcMNuc A ³ )sin(
λω dltayA
−−=
- smIkarrlkRtg;cMNuc M eBldalBIcMNuc B ³ )sin(/ λω dtay BM −−=
eyIg)n ³ )sin()sin(// λω
λω dtadltayyy BMAM −−
−−=+=
smmUl ³ )2
(2cos)2
(2sin2 λλλπλλλπ
dftdlftdftdlftay
−++−+−+−=
smmUl ³ )(2cos)2
(2sin2λ
πλλ
π lftlday −−= eday ³ mmcmdmmaHz
sTf 55.0,2,50
02.011
======
viTüasa®sþrUbviTüafñak;TI12 - 29 - CMBUkTI02 emeronTI02
rlk - 29- hak; kusl
mmmssmvT 3003.002.0/5.1 ==×==λ eyIg)n ³ )
3030050(2cos)
302300
305(2sin22 −
×−×= ty ππ
smmUl ³ tty πππ 100cos46.3)20100cos46.3 =−= dUcenH ³ )(100cos46.3 mmty π= KNnacMnYneBaHrlk ³ tamrUbmnþ ³
2λkAB = naM[ ³ 20
3030022
=×
==λABk
dUcenH ³ 20=k 22 > RbPBrlkdUcKñaBIrsßitcm¶ayBIKña cmSS 1221 = EdlmanCMhanrlk cm5 . kMNt; cMnYnkMBUlrlkcenøaHRbPBTaMgBIr .
dMeNaHRsay kMNt;cMnYnkMBUlrlk ³ rlkmanGMBøITutGtibrmakalNa ³ λkdd =− 21 m:üageTot ³ cmSSdd 122121 ==+ eyIg)n ³ 12≤λk eRBaH ³ 2121 dddd +≤− naM[ ³ 4.2
51212
==≤λ
k $ 2=Maxk eyIg)ncMnYnkMBUlrlk ³ 51)22(12 =+×=+= Maxkn dUcenH ³ 5=n kMBUl 23 > RbPBrlkBIrmaneRbkg;dUcKña Hzf 100= sßitcm¶ayBIKña cmSS 6.921 = nigman el,ÓndMNal smv /2.1= . RbPBTaMgBIrbegáIt[man)tuPUtGaMgETepr:g;rlk . k > KNnaCMhanrlknImYy² . x > KNnacMnYnkMBUlrlkcenøaHRbPBTaMgBIr .
viTüasa®sþrUbviTüafñak;TI12 - 30 - CMBUkTI02 emeronTI02
rlk - 30- hak; kusl
K > cMNuc M mYysßitcenøaH 21SS . kMNt;TItaMg M edIm,I[dMNalrlkRtg; M
manpasRsbnwgRbPBTaMgBIr . dMeNaHRsay
k > KNnaCMhanrlknImYy² ³ tamrUbmnþ ³
fvvT ==λ
eday ³ Hzfsmv 100,/2.1 == eyIg)n ³ cmm 2.1012.0
1002.1
===λ dUcenH ³ cm2.1=λ x > kMNt;cMnYnkMBUlrlk ³ rlkmanGMBøITutGtibrmakalNa ³ λkdd =− 21 m:üageTot ³ cmSSdd 6.92121 =≥+ eyIg)n ³ cmk 6.9≥λ eRBaH ³ 2121 dddd +≤− naM[ ³ 8
2.16.96.9
==≤cmcmk
λ
eyIg)ncMnYnkMBUlrlk ³ 171)82(12 =+×=+= kn dUcenH ³ 17=n kMBUl K > kMNt;TItaMg M edIm,I[dMNalrlkRtg; M manRsbpas ³ -smIkarrlkTImYy ³ )(2sin 1
1 λπ dftay −=
-smIkarrlkTIBIr ³ )(2sin 22 λ
π dftay −= eyIg)nsmIkarrlkpÁÜbRtg; M ³ )(2sin)(2sin 21
21 λπ
λπ dftadftayyy −+−=+=
smmUl ³ )(2sincos2 2121
λπ
λπ ddftdday +
−−
= rlkpÁÜbmanpasRsbnwgRbPB eyIg)n ³ kdd π
λπϕ 22 21 =
+=Δ
viTüasa®sþrUbviTüafñak;TI12 - 31 - CMBUkTI02 emeronTI02
rlk - 31- hak; kusl
naM[ ³ )(6.921 cmkdd ==+ λ dUcenHrlkpÁÜbmanpasRsbnwgRbPBTaMgBIRtg;TItaMgTaMgLaymanKnøgCaRKYsareGlIbEdlsßitRtg;TItaMg )(2.121 cmkkdd ==+ λ Edl zk∈ . 24 > DIR)k;süúgBnøWmYyekIteLIgedayBnøWdalqøgkat;rgVHRbEvg
mmd 1.0= begáIt)nCaRbg;BnøWelIeGRkg;mYysßitcm¶ay cm100 BIrgVH . k > KNnamMulMgakénkaMBnøWenAkNþalRbg;PøWTI10 nwgmMubegáItedayRbg;ggwtTI 10 ebIBnøW manCMhanrlk nm600=λ . x > KNnaTItaMgRbg;PøWTI10eFobnwgcMNuckNþaleGRkg; .
dMeNaHRsay k > KNnamMulMgakénkaMBnøWenAkNþalRbg;PøWTI10 ³ tamrUbmnþ ³ λθ nd =sin smmUl ³
dnλθ =sin
eday ³ mnmmmmdn 74 106600,101.0,10 −− ×===== λ eyIg)n ³ o44.3sin06.0
1010610sin 4
7
==××
= −
−
θ dUcenH ³ o44.3=θ - KNnamMubegáItedayRbg;ggwtTI10 ³ tamrUbmnþ ³
2)12(sin λθ += nd smmUl ³
dn2
)12(sin λθ +=
eday ³ mnmmmmdn 74 106600,101.0,10 −− ×===== λ eyIg)n ³ [ ] o61.3sin063.0
1021061)102(sin 4
7
==×
××+×= −
−
θ dUcenH ³ o61.3=θ x > KNnaTItaMgRbg;PøWTI10eFobnwgcMNuckNþaleGRkg; ³ kñúgRtIekaNEkg AOO' ³
Dx
=≈ θθ tansin naM[ ³ θsinDx =
viTüasa®sþrUbviTüafñak;TI12 - 32 - CMBUkTI02 emeronTI02
rlk - 32- hak; kusl
eday ³ cmD 100,06.0sin ==θ eyIg)n ³ cmcmx 606.0100 =×= dUcenH ³ cmx 6= 25 > RbPBBnøWm:UNURkUm:aTikmYymanCMhanrlk nm580=λ caMgcUltamrn§BIrEdlsßit cm¶ayBIKña mmaSS 1.021 == begáItCaGaMgETepr:g;BnøWeTAb:HnwgeGRkg;mYyRsbnwg 21SS sßitcm¶ay cmd 100= BI 21SS . k > kMNt;TItaMgkNþalRbg;PøW nigTItaMgkNþalRbg;ggwtelIeGRkg;eFobnwgRbg; kNþal. x > KNnacm¶ayTItaMgRbg;PøWTI5eFobnwgExSemdüaT½rén 21SS . K > KNnacenøaHRbg;BnøWnImYy²elIeGRkg; .
dMeNaHRsay k > kMNt;TItaMgkNþalRbg;PøW nigTItaMgkNþalRbg;ggwtelIeGRkg; ³ -tamplsgdMeNIrrlk Rbg;PøWeBlrlkpÁÜbmanGMBøITutGtibrma eyIg)n ³ λk
dax
= naM[ ³ a
dkx λ=
eday ³ cmmmacmnmcmd 27 101.0,10580580,100 −− ==×=== λ eyIg)n ³ kkx 58.0
1010580100
2
7
=××
= −
− dUcenHTItaMgRbg;PøwsßitenAcm¶ay )(58.0 cmkx = Edl *Nk∈ BIcMNucRbg;kNþal . -TItaMgRbg;ggwtc ekItmanRtg;TItaMgGMBøITutGb,brma ³
2)12( λ
+= kdax naM[ ³
adkx2
)12( λ+=
eday ³ cmmmacmnmcmd 27 101.0,10580580,100 −− ==×=== λ eyIg)n ³ 58.016.1)12(58.0
10210580100)12( 2
7
+=+=×
××+= −
−
kkkx dUcenHTItaMgRbg;ggwtsßitenAcm¶ay )(58.016.1 cmkx += Edl *Nk∈ BIcMNuc
viTüasa®sþrUbviTüafñak;TI12 - 33 - CMBUkTI02 emeronTI02
rlk - 33- hak; kusl
Rbg;kNþal . x > KNnacm¶ayTItaMgRbg;PøWTI5eFobnwgExSemdüaT½rén 21SS ³ eyIgman ³ cmkx 9.2558.058.0 55 =×== dUcenH ³ cmx 9.25 = K > KNnacenøaHRbg;BnøWnImYy²elIeGRkg; ³ tamrUbmnþ ³ cm
adi 58.0
1010580100
2
7
=××
== −
−λ dUcenH ³ cmi 58.0=
bbbbbbbbbbb iiiiiiii
xxx i
