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Zcxqlk` > Cica}xk/Zklac) Hsx`qzliic) Ol``cqk}n) SQN Nvxli) 866

Nmzn`acm Il`c Nxxn|

Mcqle` Ul}b INVQ LL

QCICA]CM ]CAB@L^SCQ

Dcjj Hcxx|on` Xcz. > + Qcv}cohcx >2) 866. L`}xkmsa}lk`

CZq INVQ LL il`c nxxn| vxcmla}lk` vxkexno l`aismcq qczcxni nmzn`acm jcn}sxcq }bn} bciv |ks mcqle`hc}}cx il`c nxxn| q|q}coq. ]blq `k}c crvinl`q bku }bkqc jcn}sxcq ukxg) n`m bku |ks an` sqc }bco }kec} hc}}cx qks`m.

8. Jcn}sxc4 ]bxcc/jxc~sc`a| Vxcmla}lk`

INVQ LL vxcmla}q il`c nxxn| akzcxnec jkx sv }k }bxcc jxc~sc`a| hn`mq n} k`ac. ]bc osi}lvic akzcxnecasxzcq nxc kzcxinlm k` }bc qnoc exnvb. ]blq ongcq l} cnqlcx }k dsmec ubc}bcx }bc nxxn| lq vxkzlml`eak`q}n`} }k`ni hnin`ac kzcx }bc akzcxnec nxcn.

Jlesxc >. ]bxcc/jxc~sc`a| vxcmla}lk`

H| mcjnsi}) }bc }bxcc jxc~sc`a| hn`mq nxc ac`}cxcm n} 366) 1666) n`m 2666 Bt) n`m nxc cnab >+1ka}nzc ulmc. \ks on| abn`ec }bcqc zniscq nq |ks ulqb.

INVQ L) CZq vxczlksq il`c nxxn| okmcil`e vxkexno) qbkucm k`i| k`c jxc~sc`a| hn`m "n k`c/ka}nzchn`m ac`}cxcm n} 1>36 Bt,. Ublic }bn} hn`m unq n ekkm abklac jkx cq}lon}l`e olmxn`ec akzcxnec)l} mlm `k} }cii }bc ubkic q}kx|.

8/3/2019 Advanced Line Array Design With Laps II Rev 1

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8/3/2019 Advanced Line Array Design With Laps II Rev 1

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8/3/2019 Advanced Line Array Design With Laps II Rev 1

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 86666 jcc} mlq}n`}.

Jlesxc 5. Nrlni jxc~sc`a| xcqvk`qc kj n asxzcm il`c nxxn|.

Jxko }blq asxzc) l} lq nvvnxc`} }bn} jkx ekkm }k`ni hnin`ac) c~sniltn}lk` ulii hc xc~slxcm. Jkx }|vlaniil`c nxxn|q) }bc c~sniltn}lk` asxzc ulii }ngc }bc jkxo kj n jnlxi| qokk}b xnov }bn} xlqcq jxko iku }kbleb jxc~sc`a|. Ul}b vxna}lani nxxn|q) }bc }k}ni xlqc jxko >66Bt }k >6gBt ulii hc hc}ucc` :mH n`m>2mH) mcvc`ml`e k` ic`e}b n`m asxzn}sxc kj }bc nxxn|.

Vnx} kj }blq c~sniltn}lk` on| hc vxkzlmcm h| }bc iksmqvcngcxq }bcoqcizcq) ql`ac il`c nxxn|iksmqvcngcxq nxc kj}c` c`el`ccxcm ul}b hsli}/l` bleb/jxc~sc`a| hkkq}q) hs} }bc xcq} kj l} osq} hcvxkzlmcm l` }bc mxlzc abnl`) vxlkx }k }bc axkqqkzcx jli}cxq.

=.8. INVQ LL C~sniltn}lk` Aniasin}lk`

Jkx nii il`c nxxn|q) }bc qvcaljla c~sniltn}lk` xc~slxcm ulii mcvc`m k`4

Nxxn| bcleb} n`m }li} n`eic L`axcoc`}ni zcx}lani n`eic kj cnab hkr Enl` qbnml`e "l.c. enl` kj mxlzc qle`ni }k cnab hkr, Jxc~sc`a| xcqvk`qc kj l`mlzlmsni iksmqvcngcxq.

INVQ LL aniasin}cq n xcakooc`mcm c~sniltn}lk` asxzc }bn} }ngcq nii kj }bcqc jna}kxq l`}k naaks`}.

Ublic }bc INVQ C^ asxzc mkcq `k} l`aismc n`| zc`sc cjjca}q "xczcxhcxn}lk`) xkko xcqk`n`ac)qsxjnac xcjica}lk`q) c}a.,) l} lq n` craciic`} q}nx}l`e vkl`} jkx xkko }s`l`e. Crvcxlc`ac bnq qbku`}bn} q}nx}l`e ul}b }bc INVQ asxzc icnmq }k aicn`/qks`ml`e q|q}co }s`l`eq }bn} bnzc jcucx `nxxku/hn`m c~sniltn}lk` vkl`}q) n`m }bn} qsl} n ulmc xn`ec kj vxkexno }|vcq ul}b qsxvxlql`ei| il}}icnmdsq}oc`}.

L` sqc) INVQ akovs}cq n` c~sniltn}lk` asxzc cnab }loc l} mkcq n` naksq}la vxcmla}lk`. ]blq asxzcnvvilcq }k n qvcaljla vkl`} l` }bc zc`sc aniicm }bc Naksq}la Xcjcxc`ac Vkl`} "NXV,. \ks an`

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 8666 RIA/MZR l` }bcn}cx,.

]bc xcm }xnac lq }bc xcakooc`mcm c~sniltn}lk` asxzc. ]bc ileb} exn| }xnac qbkuq }bc jxc~sc`a|xcqvk`qc kj n ql`eic RIA/MZR hkr) nq ocnqsxcm l` }bc inhkxn}kx|. ]bc hisc }xnac qbkuq }bc }nxec}jxc~sc`a| xcqvk`qc.

=.1. Vxna}lani Nmzlac4 Axcn}l`e }bc INVQ C^ Asxzc

Mlnil`e l` n INVQ C^ asxzc sqsnii| xc~slxcq }bxcc kx jksx vnxnoc}xla qca}lk`q. Nii C^ asxzcq nxcmljjcxc`}) hs} bcxc lq n q}nx}l`e vkl`} }bn} uc bnzc jks`m sqcjsi4

! ]|vc Jxc~ Enl` ^ @k}c

> :mH iku qbcij :66 /: `+n IJ xkiikjj

8 Hcii 1gBt '1 6.3 Olm/bleb ak`}ksx

1 Hcii kx >8H bleb qbcij 5/>8gBt znxlcq znxlcq BJ ak`}ksx

= Hcii znxlcq znxlcq znxlcq Kv}lk`ni) }k jlr qonii uleeicq

]nhic >. Qseecq}cm q}nx}l`e vkl`} jkx qc}}l`e sv INVQ C^

8/3/2019 Advanced Line Array Design With Laps II Rev 1

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 866. ]bckx|

L` vb|qlaq n`m cica}xk`laq) qbnxv mlqak`}l`sl}lcq kj}c` bnzc qlmc cjjca}q. Jkx crnovic) ubc` n ileb}unzc hcno vnqqcq }bxkseb n `nxxku qil}) n vbc`koc`k` aniicm ql`eic/qil} mljjxna}lk` kaasxq) ublabansqcq }bc hcno }k hc qvil} l`}k n qc} kj `nxxkui| mlzcxec`} hcnoq kj exnmsn}cm q}xc`e}b4

Jlesxc

8/3/2019 Advanced Line Array Design With Laps II Rev 1

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 866

Jlesxc >6) Jlesxc >>) n`m Jlesxc >8 elzc n` crnovic jxko n` na}sni l`q}niin}lk` // n inxec absxabul}b nxxn|q kj }c` RIA/MZR hkrcq. Jlesxc >6 qbkuq }bc q}nx}l`e vkl }) jkx hk}b onl` jikkx n`mhniak`lcq. ]bcxc lq k enl` qbnml`e. Bkxltk`}ni qanic lq 83 jcc} vcx mlzlqlk`.

Jlesxc >6. Absxab) ">6, RIA/MZR. @k enl qbnml`e.

L` jna}) }bcqc asxzcq nxc jnlxi| ekkm nixcnm|. Hs} ikkg ubn} bnvvc`q ul}b n hl} kj enl` qbnml`e.Jlesxc >> qbkuq }bc qnoc nxxn|) ul}b Hkr > "}bc }kv hkr, }sx`cm mku` 1mH) Hkr < }sx`cm mku`8mH) n`m Hkr >6 }sx`cm mku` =mH.

Jlesxc >>. Absxab) ">6, RIA/MZR ul}b enl` qbnml`e.

Nq oc`}lk`cm nhkzc) l` asxxc`} vxna}lac l}q akook` }k }sx` mku` hkrcq mku` n} }bc hk}}koq kjnxxn|) hs} `k} n} }bc }kvq. Ubn} uksim bnvvc` lj uc }sx`cm mku` k`i| }bc hk}}ko hkrcq l` }blqcrnovic; Jlesxc >8 qbkuq }bc qnoc ak jlesxn}lk` nq Jlesxc >>) cracv} }bn} }bc }kv hkr lq n} 6 mHl`q}cnm kj /1 mH. L}q ekkm) hs} k} nq ekkm.

Hisc 366 BXcm 1666 B]cni 2666 B

Hisc 366 BXcm 1666 B]cni 2666 B

8/3/2019 Advanced Line Array Design With Laps II Rev 1

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 8661) Jlesxc >=) n`m Jlesxc >3 qbku }bc hc`cjl}q kj enl` qbnml`e. Bkxltk`}ni qanic lq >8.3 jcc}vcx mlzlqlk`) onrloso bkxltk`}ni znisc lq >66 jcc}.

Jlesxc >1. Jin} zc`sc) ":, RIC>2>) `k enl` qbnml`e

Jlesxc >=. Jin} zc`sc) ":, RIC>2>) 8mH hk}}ko hkr enl` xcmsa}lk`

Hisc 366 BXcm 1666 B]cni 2666 B

Hisc 366 BXcm 1666 B]cni 2666 B

Hisc 366 BXcm 1666 B]cni 2666 B

8/3/2019 Advanced Line Array Design With Laps II Rev 1

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 8666

Jlesxc >3. Jin} zc`sc) ":, RIC>2>) 8mH }kv n`m hk}}ko hkr enl` xcmsa}lk`3.=. Vxna}lani Nmzlac

N} CZ) uc bnzc ec`cxnii| jks`m }bn} enl` qbnml`e kj}c` ukxgq hcq} ul}b n hl} icqq }nvcxl`e k`}kv) n`m ul}b n hl} okxc anxcjsi n`m exnmsni }nvcxl`e k` }bc hk}}ko }k onl`}nl` ekkm ak`}xki kj}bc `cnxjlcim. ]blq lq vnx}lasinxi| }xsc jkx ik`ecx nxxn|q.

K`c kj }bc qsxvxlqcq kj }blq nvvxknab lq }bn} }nvcxl`e }bc }kv mkcq`%} xcnii| xcmsac hniak`| QVIzcx| osab) nq ik`e nq |ks bnzc c`kseb hkrcq.

Ul}b qbnml`e) }bc hcq} xcqsi}q nxc niun|q kh}nl`cm ubc` |ks an` nmdsq} }bc iczciq kj cnab hkrqcvnxn}ci|. Bkuczcx) l` okq} ql}sn}lk`q }bcxc ulii `k} hc c`kseb noviljlcx abn``ciq nznlinhic }kmk }bn}. L` qsab anqcq) l} ulii kj}c` hc `cacqqnx| }k sqc n iksmqvcngcx anhil`e nxxn`ecoc`} }bn}niikuq }kv n`m hk}}ko hkrcq }k hc ulxcm l` vnxniici.

]bc qnovic jlicq mlq}xlhs}cm ul}b INVQ LL l`aismc n `sohcx kj qbnml`e qac`nxlkq }bn} bnzc hcc`kv}loltcm jkx okq} akq}/cjjca}lzc sqc kj noviljlcx abn``ciq.

3.3. Enl` Qbnml`e zq C~sniltn}lk` Qbnml`e

L` inxec nxxn|q ul}b qkvblq}lan}cm mxlzc q|q}coq) qkoc mcqle`cxq sqc c~sniltn}lk` qbnml`e "C^qbnml`e jkx qbkx},) l.c. }bc sqc kj qcvnxn}c c~sniltn}lk` jkx mljjcxc`} qca}lk`q kj }bc nxxn|. INVQ LLmkcq `k} vxcmla} C^ qbnml`e) hs} l` ksx crvcxlc`ac) uc jl`m C^ qbnml`e bcivjsi l` ik`e/}bxkunvvilan}lk`q) ubcxc l} an` bciv kjjqc} }bc bleb/jxc~sc`a| n}}c`sn}lk` kj nlx. Jkx }blq vsxvkqc)qbcizl`e jli}cxq nxc kj}c` sqcm }k l`axcnqc bleb/jxc~sc`a| ks}vs} kj }bc }kv jcu nxxn| cicoc`}q)}bc k`cq ubkqc bleb/jxc~sc`a| ks}vs} osq} vxkdca} kzcx n ik`e mlq}n`ac.

C^ qbnml`e on| niqk hc bcivjsi n} }bc hk}}ko kj }bc nxxn|) ubcxc l} an` hc sqcm qshdca}lzci| }kaxcn}c n hc}}cx }k`ni hnin`ac l` }bc jlxq} jcu xkuq kj }bc zc`sc) ubcxc }bcxc lq n olr}sxc kj

qks`mq jxko }bc onl` nxxn|q) jxko jxk`}jlii iksmqvcngcxq) n`m mlxca}i| jxko }bc q}nec.

3.:. Mcin| Qbnml`e

Mcin| qbnml`e "l.c. }bc sqc kj mljjcxc`} cica}xk`la mcin|q jkx mljjcxc`} il`c nxxn| cicoc`}q, lq `czcxsqcjsi jkx jsii/xn`ec il`c nxxn| iksmqvcngcxq kj `kxoni ak`q}xsa}lk`. Qsab nxxn|q nxc `k} jl`ci|mlzlmcm c`kseb }k niiku vxkvcx nile`oc`} kj bleb/jxc~sc`a| unzcq) n`m n`| n}}cov} }k nvvi|mcin| qbnml`e }k }bco ulii vxkmsac mlqnq}xksq xcqsi}q.

Hisc 366 BXcm 1666 B]cni 2666 B

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NMZN@ACM IL@C NXXN\ MCQLE@ UL]B INVQ LL QCICA]CM ]CAB@L^SCQ XCZ. > + QCV]COHCX >2) 866>

Mcin| qbnml`e on| hc sqcm zcx| bcivjsii| ul}b qshukkjcxq) }k ak`}xki q}ccxl`e kj hnqq xnmln}lk`.Jkx n akovxcbc`qlzc mlqasqqlk` kj qshukkjcx nxxn|q n`m q}ccxl`e) vicnqc qcc }bc CZ ubl}cvnvcx c`}l}icm Qshukkjcx Nxxn|q.

:. Ak`aisqlk`

INVQ LLq nmzn`acm vxcmla}lk` jcn}sxcq) }ngc` l` ak`ds`a}lk` ul}b n hl} kj vb|qlaq) an` icnm }k hc}}cx/qks`ml`e il`c nxxn|q ul}b `k l`axcnqc l` akq}. Mcqle`cxq nxc c`aksxnecm }k qvc`m qkoc }loc ul}b}bc vxkexno }k mczcikv }bclx ku` qsaacqq nvvxknabcq. Osi}ljxc~sc`a| vxcmla}lk` on| qcco okxc}loc/ak`qsol`e n} jlxq}) hcansqc l} mlq~sniljlcq on`| nxxn| mcqle`q }bn} on| bnzc ikkgcm ekkmhcjkxc. Bkuczcx) }bc xcqsi}q nxc ukx}b }bc ukxg.

Hkqab Akoos`lan}lk`q Q|q}coq

NocxlanqBcnm~snx}cxq NocxlanqHkqab Qcasxl}| Q|q}coq) L`a.>8666 Vkx}in`m Nzc Qks}b)Hsx`qzliic) O@ 33115) SQNVbk`c4 > 266 1 2:: 363 333>Jnr4 '> 2:: 11: 2=:5In}l` NocxlanVbk`c4 > 8

COCNBcnm~snx}cxq Csxkvc)Olmmic Cnq} * NjxlanHkqab Qlabcxbcl}qq|q}coc EohBXkhcx}/Gkab/Q}xnqqc >662338> K}}khxs``) Ecxon`|

Ak`}na} * Zlql}kx NmmxcqqCZL Nsmlk EohBQnabqc`xl`e :63 Q}xnshl`e) Ecxon`|Vbk`c4 '=< 56: 6Jnr4 '=< 56: 8:3

Jxn`acCZL Nsmlk Jxn`ac Q.N.QVbk`c4 '11 > :=26 668 1166Jnr4 '= 8>8 1122

Nqln * VnaljlaBcnm~snx}cxq NVXXkhcx} Hkqab "QCN, V}c I}m12 A Dnin` Vcolovl`Ql`envkxc 355>26Vbk`c4 ':3 :1>< 6:>:Jnr4 ':3 :1>< 6:86

Nsq}xnilnHkqab Qcasxl}| Q|q}coq V}| I}m

Vbk`c4 ':> 8 :1>5 8>33Jnr4 '2: 8> :1>5 1683

L`mlnHkqab Ilol}cmVbk`c4 ' 26 =>5: 2152Jnr4 ' 26 =>5: 28:1

Dnvn`CZL Nsmlk Dnvn`

Vbk`c4 '2> 1 3=23 ==85Jnr4 '2> 1 3=23 ==82

]bnlin`mXkhcx} Hkqab Ilol}cmVbk`c4 '::8 :1< 1>>>Jnr4 '::8 :1> 8616

GkxcnXkhcx} Hkqab GkxcnVbk`c4 '28 1> 856 =5:3Jnr4 '28 1> 856 =: