Physique - chap 7 - COURS Diffraction des Ondes Progressives Sinusoïdale

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  • 7/29/2019 Physique - chap 7 - COURS Diffraction des Ondes Progressives Sinusodale

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  • 7/29/2019 Physique - chap 7 - COURS Diffraction des Ondes Progressives Sinusodale

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    Ok}izn`}ohk hkmi" bn}ozi

    Moggzn`}ohk

    Zgai|ohk

    Zgzn`}ohk

    Moptizpohk

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    ZIGAI\OHKAhop mi an zgai|ohk

    >izi aho mi Mip`nz}ip:ibi aho mi Mip`nz}ip

    ZGZN@]OHKTlkhbki mi zgzn`}ohk myki hkmi aybokiypiTlkhbki mi zgzn`}ohk myki hkmi tzhezippowi pyz yki `ywi n hkmi

    TLKHBKI MI MOGGZN@]OHKTnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk}ymi mi an moggzn`}ohk ik aybozi bhkh`lzhbn}o~yi@np mip hkmip phkhzip@hk`aypohk

    MOPTIZPOHKBoaoiy moptizpogMoptizpohk mi an aybozi tnz yk tzopbiMoptizpohk m%yki hkmi b`nko~yiTzhtzo}p m%yk boaoiy moptizpogBoaoiy khk moptizpog

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    ZIGAI\OHKI|tzoik`i 6

    Zgai|ohk myki hkmi tzhezippowi ~yo pi tzhtnei ai ahke myki `hzmi mhk}

    ai|}zbo} ip} go|i

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    ^ynkm ahkmi n}}iok} ai|}zbo} go|i mi an `hzmi! iaai ziwoik} ik nzzozi bnopokwizpi+ Ahkmi ip} zga`loi ny kowiny myk hjp}n ai go|i+

    ^ynkm ahkmi nzzowi nwi` yk nkeai mok`omik`i pyz yk hjp}n ai zga`loppnk}

    iaai ip} zga`loi mnkp yki mozi`}ohk }ia ~yi ankeai mok`omik`i ip} ena nankeai mi zgai|ohk +

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    Ahop mi an zgai|ohk

    >izi aho mi Mip`nz}ip

    Ai znhk zga`lo ip} `hk}iky mnkp ai bbi tank `hk}ik}ik} ai znhk ok`omik}i} an khzbnai ny tank mi ai pyzgn`i zga`loppnk}i+ @i tank pnttiaai tank

    mok`omik`i+:ibi aho mi Mip`nz}ip

    Ankeai mi zgai|ohk ip} ena ankeai mok`omik`i

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    Zgzn`}ohk

    Tlkhbki mi zgzn`}ohk myki hkmi aybokiypi

    Hk hjpizwi ai tlkhbki mi zgzn`}ohk ahzp~yi ahkmi tnppi myk boaoiy ykny}zi `i tnppnei pn``hbtneki myk `lnkeibik} mi an mozi`}ohk mi

    tzhtnen}ohk! mi an ahkeyiyz mhkmi i} mi an `azo} mi tzhtnen}ohk+

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    Tlkhbki mi zgzn`}ohk myki hkmi tzhezippowi pyz yki `ywi n hkmi

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    An zgzn`}ohk pn``hbtneki }hyfhyzp myk `lnkeibik} mi ahkeyiyz mhkmipnkp `lnkeibik} mi gz~yik`i myk `lnkeibik} mi ahkeyiyz mhkmi i} myk

    `lnkeibik} mi mozi`}ohk mi tzhtnen}ohk

    Po ahkmi tnppi myk boaoiy > yk boaoiy : hk n 6

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    Tlkhbki mi moggzn`}ohk

    Ahzp~y%yki hkmi tzhezippowi pokyphmnai zik`hk}zi yki hywiz}yzi hy ykhjp}n ai mi ti}o}i }noaai! pn tzhtnen}ohk ip} bhmogoi6 a%hkmi ip} mghzbi+ @i

    tlkhbki pnttiaai tlkhbki mi moggzn`}ohk+An moggzn`}ohk mi a%hkmi ip} m%ny}nk} tayp bnz~yi ~yi aip mobikpohkp mia%hywiz}yzi hy mi a%hjp}n`ai phk} ti}o}ip+

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    Mnkp yki `ywi hkmip! hk ok}izthpi yk hjp}n`ai tiz` m%yki ti}o}ihywiz}yzi pyz ai }znfi} m%yki hkmi tanki pokyphmnai 6

    `iaai"`o mhkki nahzp knoppnk`i yki hkmi `oz`yanozi ntzp ahywiz}yzi+ Hk`hkp}n}i ~yi an ahkeyiyz m%hkmi ip} omik}o~yi nwnk} i} ntzp a%hywiz}yzi+

    A%hywiz}yzi pi `hbthz}i mhk` `hbbiyki phyz`i m%hkmip thk`}yiaai mibbi gz~yik`i ~yi an phyz`i oko}onai 6

    `%ip} ai tlkhbki mi moggzn`}ohk+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi ! iaai pi `hbthz}i `hbbi ykiphyz`i thk`}yiaai+

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    Po a%hywiz}yzi n ;; ! yki hkmi zi`}oaoeki nzzownk} pyz a%hywiz}yzi ip} }zp tiynggi`}i tnz `iaai"`o+

    Nokpo! yki hkmi zi`}oaoeki an pyzgn`i m%yk ao~yomi tiy} miwikoz `oz`yanozintzp nwhoz } moggzn`}i+

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    Ai tlkhbki mi moggzn`}ohk mtikm mip mobikpohkp mi a%hywiz}yzi hy mia%hjp}n`ai moggzn`}nk} i} mi an ahkeyiyz mhkmi

    Po hk kh}i n an anzeiyz mi a%hywiz}yzi hy mi a%hjp}n`ai! ai tlkhbki mi

    moggzn`}ohk mtikm mi an wnaiyz mi n i} mi h a ip} an ahkeyiyz m%hkmi mia%hkmi tzhezippowi pokyphmnai+

    Po n 11 ! hk nppop}i yki ztnz}o}ohk moggzik}i mi a%hkmi mnkp ai boaoiy mitzhtnen}ohk+ Ahkmi ip} moggzn`}i+ Iaai ip} `hk}ikyi mnkp yk }zonkeai mhk} ai

    phbbi} ip} ai `ik}zi mi a%hywiz}yzi }ia ~yi 6

    pok 2 (n a%i|}zoiyz mi `i }zonkeai pi }zhywi yki vhki h oa k% n tnp mi tiz}yzjn}ohk6a%nbtao}ymi mi a%hkmi ip} kyaai+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi a! iaai pi `hbthz}i `hbbi yki

    phyz`i thk`}yiaai+

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    Okgayik`i mip tnznb}zip

    Ahzp mi an moggzn`}ohk tnz yki gik}i ik aybozi bhkh`lzhbn}o~yi! miy|tnznb}zip tiywik} okgayiz n tzohzo pyz Ai tlkhbki hjpizw 6

    " an anzeiyz n mi an gik}i 3

    " an ahkeyiyz m%hkmi ! mi an aybozi ok`omik}i+I|tzoik`i 6

    Moggzn`}ohk tnz yki gik}i ik aybozi bhkh`lzhbn}o~yi

    Mozoeiz Ai gnop`iny m%yk anpiz zhyei wizp yk `znk po}y ikwozhk miy| b}zip+

    Bnkotyaiz ai anpiz nwi` aip tayp eznkmip tz`ny}ohkp 6 yk gnop`iny anpiz ~yotk}zi mnkp a%oa tiy} `nypiz mi eznwip mhbbneip an z}oki+

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    "Ok}izthpiz ~yia~yip `ik}ob}zip my anpiz! ik}zi `iayo"`o i} a%`znk! yki

    tan~yi htn~yi tiz`i m%yki gik}i goki wiz}o nai mi anzeiyz n

    "Zibtan`iz an gik}i mi anzeiyz n tnz yki gik}i mi anzeiyz n% tayp ti}o}i

    " Zibtan`iz ai gnop`iny anpiz zhyei tnz yk gnop`iny anpiz jaiy

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    Hjpizwn}ohk

    Thyz yk gnop`iny mi aybozi zhyei! an }n`li `ik}znai p%anzeo} ahzp~yi ananzeiyz n mi an gik}i mobokyi+

    Ahzp~y%hk `lnkei an phyz i! an }n`li `ik}znai ip} tayp }zho}i nwi` ai gnop`inymi aybozi jaiyi ~y%nwi` ai gnop`iny mi aybozi zhyei+

    ^ynkm an mobikpohk mi a%hjfi} moggzn`}nk} mobokyi! aip iggi}p my tlkhbkimi moggzn`}ohk nyebik}ik}+

    ^ynkm an ahkeyiyz m%hkmi mi an aybozi ok`omik}i mobokyi! aip iggi}p mytlkhbki mi moggzn`}ohk mobokyik}+

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    Mgoko}ohk mi a%`nz} nkeyanozi

    Ahzp m%yki i|tzoik`i mi moggzn`}ohk nwi`yki gik}i! hk kh}i G ai boaoiy mi an gik}i!4 ai `ik}zi mi an goeyzi mi moggzn`}ohk pyza%`znk i} B ai boaoiy my tziboiz ok}izwnaaihjp`yz+

    A%nkeai HGB ! kh} ip} ankeai phyp ai~yia ip} wyi an bho}o mi an }n`li`ik}znai mityop a%hjfi} moggzn`}nk} 6

    `nz} nkeyanozi ik znmonk ,znm/

    ahkeyiyz m%hkmi ik b}zi ,b/

    n mobikpohk mi a%hjfi} moggzn`}nk} ik b}zi ,b/+

    Zibnz~yi 6 a%`nz} nkeyanozi ip} yk ti}o} nkeai+

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    An zian}ohk `zo}i ip} joik `hkghzbi an `hk`aypohk mip i|tzoik`ip

    An anzeiyz mi an }n`li `ik}znai mi moggzn`}ohk mtikm mi an wnaiyz mi a`nz}

    nkeyanozi i} mi an mop}nk`i M mi a`znk ahjfi} moggzn`}nk}

    nwi` }nk 2 ,ik znm/ `nz ip} yk ti}o} nkeai+

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    @np mip hkmip phkhzip

    ^ynkm hk ok}izthpi yk `znk! tiz` m%yki gik}i G mi `ik}zi 4 i} mi anzeiyz n!ik}zi yk bi}}iyz ,kh} I/ i} yk z`it}iyz ya}znphkhzip+ Ik mtannk} aiz`it}iyz! hk `hkp}n}i ~yi a%nbtao}ymi mi a%hkmi ya}znphkhzi `nt}i wnzoipyownk} pn thpo}ohk+ Po hk mtan`i ai z`it}iyz ik ai bnok}iknk} mop}nk`i`hkp}nk}i mi 4! a%nbtao}ymi mi a%hkmi m`zh} fyp~y% yk bokobyb ~ynpo kyathyz yk nkeai ~ }ia ~yi pok 2 (n+

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    @hk`aypohk

    Aip tlkhbkip mi moggzn`}ohk m`zo}p `o"mippyp phk} `nzn`}zop}o~yip miphkmip pokyphmnaip mi gz~yik`i mhkki+ ]hy} tlkhbki tlpo~yi thyzai~yia hk hjpizwizno} yk tlkhbki mi moggzn`}ohk tiy} }zi `hkpomz`hbbi hkmyan}hozi+

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    Moptizpohk

    Boaoiy moptizpog

    Po an `azo} m%yki hkmi tzhezippowi pokyphmnai mnkp yk boaoiy mhkk

    mtikm mi an gz~yik`i obthpi tnz an phyz`i! nahzp ai boaoiy ip} mo} moptizpog+Po ai boaoiy mi tzhtnen}ohk k%ip} tnp moptizpog! an `azo} m%yki hkmi kimtikm ~yi mip tzhtzo}p mi `i boaoiy+

    Moptizpohk mi an aybozi tnz yk tzopbi

    Ahzp~yyk gnop`iny mi aybozi jank`li }znwizpi yk tzopbi phyp yki ok`omik`i

    `hkwiknjai! ai gnop`iny wohai} ip} ai tayp mwoi i} ai gnop`iny zhyei ip} ai bhopmwo! hk hjpizwi yk pti`}zi `hk}okyi+

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    ]hyp aip boaoiy| }znkptnzik}p phk} moptizpogp pnyg ai womi

    Yki aybozi bhkh`lzhbn}o~yi mi `hyaiyz o , fnyki ! jaiy ! wiz}!/

    i} `nzn`}zopi tnz yki gz~yik`i o pi tzhtneink} mnkp yk boaoiy}znkptnzik} f, noz ! wizzi !iny / nwi` yki `azo} wo!f i} pn ahkeyiyz mhkmimnkp `i boaoiy ip} kh}i o!f }iap ~yi+

    Thyz yki aybozi bhkh`lzhbn}o~yi mi gz~yik`i o, `hyaiyz o/ aokmo`injphay mi zgzn`}ohk myk boaoiy f thyz an aybozi o mi gz~yik`i o ip}mhkki tnz an zian}ohk

    h ` ip} an `azo} mi an aybozi mnkp ai womi `2 0+>4

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    Moptizpohk m%yki hkmi b`nko~yi

    }ymi i|tzobik}nai

    Y}oaopiz yki `ywi hkmip mhk} ai wojziyz ip}

    yki thok}i+ Gnozi wnzoiz an gz~yik`i my wojziyz+ Thyz

    `ln~yi wnaiyz! obbhjoaopiz an goeyzi hj}ikyi

    nwi` yk p}zhjhp`hti+

    Bipyziz an mop}nk`i ik}zi miy| aoekip m%hkmi py``ippowip+ ,A%hkmi }nk}pokyphmnai! `%ip} an ahkeyiyz m%hkmi /

    @na`yahkp n `azo} W mi tzhtnen}ohk mip hkmip pyz an kntti my ao~yomi+

    Bipyzip i} hjpizwn}ohk

    K,Lv/ :4 :9 04 09 ,`b/ > 4!? 4!< 4!5

    W ,b+p">/ 4!:4 4!:0 4!:= 4!:9

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    Hk `hkp}n}i ~yi ahzp~yi an gz~yik`i K mi a%hkmi nyebik}i! an ahkeyiyzm%hkmi mobokyi i} an `azo} W nyebik}i+

    Mnkp an `ywi hkmip! an `azo} m%yki hkmi pokyphmnai mtikm mi pngz~yik`i 6 hk mo} ~yi a%iny ip} yk boaoiy moptizpog+ Ainy ip} boaoiy moptizpogthyz aip hkmip b`nko~yip

    Yk boaoiy bn}zoia ip} moptizpog ahzp~yi an `azo} m%yki hkmi pokyphmnai iktzhtnen}ohk mnkp `i boaoiy mtikm mi pn gz~yik`i+

    Tzhtzo}p m%yk boaoiy moptizpog

    Mnkp yk bbi boaoiy moptizpog! miy| hkmip pokyphmnaip mi gz~yik`ipmoggzik}ip pi tzhtneik} mip `azo}p moggzik}ip+ Po `ip miy| hkmip phk}`zip ny bbi ikmzho}! a%hkmi zpya}nk} mi aiyz phbbi pi mghzbi ny `hyzp

    mi an tzhtnen}ohk+Yki hkmi `hbtziknk} taypoiyzp `hbthpnk}ip pokyphmnaip pi mghzbi ny`hyzp mi pn tzhtnen}ohk mnkp yk boaoiy moptizpog+

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    Boaoiy khk moptizpog

    Po an `azo} m%yki hkmi pokyphmnai ip} okmtikmnk}i mi pn gz~yik`i! ai

    boaoiy ip} khk moptizpog 6 }hy}ip aip hkmip pokyphmnaip p% mtan`ik} anbbi `azo}+ Yki hkmi zpya}nk} mi an phbbi mi taypoiyzp hkmippokyphmnaip mi gz~yik`ip moggzik}ip ki pi mghzbi tnp mnkp yk }ia boaoiy+

    I|ibtai 6 n`hyp}o~yi bypo`nai

    A%noz ip} yk boaoiy khk moptizpog thyz aip hkmip phkhzip! ~yo pi tzhtneik} anbbi `azo}+ Ahzp~y%hk `hy}i mi an bypo~yi! aip jnppip gz~yik`ip i} aiplny}ip gz~yik`ip tnzwoikkik} ,liyziypibik}/ ik bbi }ibtp a%hzioaai+,@itikmnk}! `i tlkhbki k%ip} tayp wzno thyz aip }zp lny}ip gz~yik`ip/+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi a! iaai pi `hbthz}i `hbbi yki

    phyz`i thk`}yiaai+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi a! iaai pi `hbthz}i `hbbi yki

    phyz`i thk`}yiaai+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi a! iaai pi `hbthz}i `hbbi yki

    phyz`i thk`}yiaai+

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    Yki hywiz}yzi hy yk hjp}n`ai ok}izthpp pyz ai }znfi} m%yki hkmi tankipokyphmnai pi `hbthz}ik} `hbbi mip phyz`ip pi`hkmnozip mi bbi

    gz~yik`i ~yi an phyz`i tzobnozi `znk} a%hkmi 6 `%ip} ai tlkhbki mimoggzn`}ohk+

    Tnznb}zip mhk} mtikm ai tlkhbki mi moggzn`}ohk 6

    Po a%hywiz}yzi n ip} mi anzeiyz okgzoiyzi a! iaai pi `hbthz}i `hbbi yki

    phyz`i thk`}yiaai+