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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Polarizarealuminii

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Reactualizare

    E

    B v

    Lumina este o undtransversal

    ntre modulele celor doivectori exist relaia:

    c

    EB

    c = 3 108

    m/s viteza luminii n vid

    lumina este o und electromagnetic n care vectorii intensitate a cmpului

    electric E i inducia cmpului magnetic B oscileaz n plane perpendicularepe direcia vitezei de propagare v

    B

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Experimentul care evideniaz c lumina este und transversalasupra unei oglinzi dielectrice dinsticl neagr P se trimite un fasciculde raze paralele SO sub unghiul deinciden i

    fasciculul reflectat OOcade apoi

    pe o oglind identic cu prima, A, sub

    acelai unghi de inciden, planele deinciden a celor dou oglinzi sunt

    paralele, i apoi se reflect dup

    direcia OR

    S

    O

    P

    A

    O

    Plan de

    inciden

    R

    Plan deinciden

    i

    i

    se rotete oglinda A n jurul razei

    OO, unghiul de inciden i nu seschimb, dar se observ o scdere

    a intensitii fasciculului OR

    cnd planele de inciden a celor dou oglinzi sunt perpendiculare ntre

    ele, se costat c intensitatea fasciculului OR dispare complet.

    S

    PO O

    A

    i

    i

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    S

    OP

    O

    Ai

    i

    S

    P AO O

    R

    ii

    continund rotirea, fasciculul OR

    reapare,crescnd continuu nintensitate pn la o valoare maxim

    n momentul n care cele dou plane

    de inciden au devenit din nouparalele

    dac se continu rotirea fasciculul

    OR scade din nou n intensitate

    pn se anuleaz cnd planele de

    inciden devin iari perpendiculareConcluzie:

    Intensitatea fasciculului OR este

    maxim cnd unghiul dintre planelede inciden ale celor dou oglinzi iavalorile 0i 180i se anuleazcnd planele sunt perpendiculare

    Vibraiile vectorului luminos nu pot avea componente n lungul direcieide propagare, deoarece, ntr-un asemenea caz nu se obine anulareacomplet a intensitii fasciculului, deci vibraia luminoas a fasciculului

    OO are loc numai n planul perpendicular pe direcia de propagare

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Lumin polarizat, lumin natural

    unda care posed anumite direcii privilegiate n care se execut vibraiilesale se numete und polarizat

    fenomenul prin care se produc unde polarizate se numete polarizare

    oglinda Pcare face ca fasciculul incident SO s devin polarizat prinreflexie se numete

    polarizor, iar oglinda Acare analizeaz fasciculul

    polarizat se numete analizor

    Luminan care vectorul cmp electric E oscileaz ntr-o singur direcie senumete lumin liniar ( total ) polarizat

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    prin compunerea a dou unde coerente polarizate liniar, perpendiculare

    ntre ele, avnd o diferen de faz ntre ele se obine lumina polarizat

    eliptici n caz particularlumina polarizat circular

    n timpul propagrii vrful vectorului luminos rezultant descrie o elips,

    respectiv un cerc n planul perpendicular pe direcia de propagare.

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

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    pe aceast direcie preferenial intensitatea luminii este maxim, iar pedirecia perpendicular pe ea intensitatea luminii este minim

    n lumina natural undele trimise de fiecare atom al sursei sunt polarizateliniar, dar planele de oscilaie sunt orientate n toate direciile, haotic.

    Reprezentare

    Lumin totalpolarizat Lumin parial

    polarizat

    Lumin

    natural

    Gradul de polarizare:

    minmax

    minmax

    II

    IIP

    P = 0 lumin natural

    P = 1 lumin totalpolarizat

    Lumina parial polarizat este lumina n care vectorul cmp electric Eoscileaz ntr-o direcie preferenial, dar nu unic, din planul perpendicularpe direcia de propagare

    Lumina natural (nepolarizat) este lumina n care vectorul cmp electric Eoscileaz haotic n toate direciile posibile ntr-un plan perpendicular pedirecia de propagare

    E

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    Polarizarea prin reflexie. Legea lui Brewstero raz de lumin natural aflat n mediul cu indicele de refracie n1 cade

    pe suprafaa de separaie a unui alt mediu cu indicele de refracie n2

    Luminanatural Lumin total

    polarizat

    Lumin parialpolarizat

    iB

    rB

    n1

    n2

    lumina reflectat va fi total polarizat

    dac i = iB ( unghi Brewster )

    n acest caz raza reflectat i cea

    refractat sunt perpendiculare ntre ele

    iB + rB = 90n lumina total polarizat oscilaiile

    vectorului luminos au loc perpendicularpe planul de inciden

    raza refractat este parial polarizat

    i are un grad de polarizare mare

    n punctul I: n1siniB = n2sinrB = n2sin(90- iB) = n2cosiB

    De unde:

    1

    2

    n

    ntgiB

    legea luiBrewster

    Pentru sticl: iB = 57

    I

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Animaii - polarizarea

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    Birefrigerena

    dac mediul dielectric folosit este transparent, o parte din lumina naturalincident conform legilor refraciei este polarizat prin refracie (transmisie)

    trimind un fascicul ngust de lumin natural printr-un cristal de spat deIslanda, tiat cu fee plan paralele, se poate obine lumin polarizat prin

    dubl refracie

    A

    A

    10153

    fenomenul se numete birefrigeren

    spatul de Islanda prezint o birefigeren mare i cristalizeaz n sistemul

    romboedric cu unghiul ntre muchii de 10153

    cristalul prezint o ax de simetrie AA numit ax optic

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    SI

    A

    A

    O O

    EE

    O E

    Oglind plan din sticl

    la intrarea n cristal,la inciden normal, fasciculul incident SI se desparten dou alte fascicule IO i IE care apoi ies din cristal, sub form de

    fascicule paralele cu direcia fasciculului incident, dac faa de intrare a

    cristalului este paralel cu cea de ieire.

    OOeste n prelungirea razei incidente, respect legile refraciei i se

    numete raz ordinar, iar raza IEeste refractat diferit, nu respect legilerefraciei i se numete raz extraordinaranaliznd cele dou fascicule cu ajutorul oglinzii nclinat la incidena

    brewsterian, se constat c prin rotirea oglinzii are loc, pe rnd cnd

    stingerea, cnd ntrirea fasciculelor reflectate OO i EE demonstrdu-sec fasciculele OO i EE sunt fiecare polarizate liniar n plane perpendiculare

    ntre ele

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Primele polariscoape

    a fost folosit pentru determinarea unghiuluiBrewster pentru probe lichide sau solide.

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    Polariscoape de colecie

    Hampden-Sydney College Smithsonian Institution

    Miami University College Allegheny

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Colecia Millington / Barnard de la

    Muzeul Universitii din Mississippi.

    Colecia de la InstitutulSmithsonian.

    Universitatea din Glasgow

    Muzeul Universitii dinMississippi

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    Filtre de polarizareDispozitivele care las s treac doar lumina polarizat se numesc filtre de

    polarizareo versiune a acestora sunt polaroiziifabricai dintr-un strat de polimer cumolecule organice lungi, straturile fiind aliniate sub forma unei reele, iar

    polimerul este tratat astfel nct moleculele s devin conductoare

    la trecerea luminii prin polaroid sunt absorbite anumite direcii de oscilaie

    ale vectorului luminos, astfel c la ieirea din polaroid n und rmn doar

    direciile de oscilaie neabsorbite

    Lumin natural

    Lumin polarizat

    Polaroid

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Aplicaii practiceFiltrul de polarizare se folosete pentru eliminarea sau cel puin diminuareareflexiilor nedorite la fotografierea, filmarea sau nregistrarea video.

    Obiecte aflate n vitrinele magazinelor

    Exemple:

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    Persoane care poart ochelari

    Interiorul automobilelor

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Suprafaa apei

    http://www.youtube.com/watch?v=sNWqo58zNQ0&feature=related

    http://www.youtube.com/watch?v=sNWqo58zNQ0&feature=relatedhttp://www.youtube.com/watch?v=sNWqo58zNQ0&feature=relatedhttp://www.youtube.com/watch?v=sNWqo58zNQ0&feature=relatedhttp://www.youtube.com/watch?v=sNWqo58zNQ0&feature=related
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    Ochelarii cu polaroizi

    Utilizai pentru diminuarearadiaiilor deranjante

    http://www.youtube.com/watch?v=eqe-tpXrEiU&feature=related

    Farurileautovehiculelor

    http://www.youtube.com/watch?v=eqe-tpXrEiU&feature=relatedhttp://www.youtube.com/watch?v=eqe-tpXrEiU&feature=relatedhttp://www.youtube.com/watch?v=eqe-tpXrEiU&feature=relatedhttp://www.youtube.com/watch?v=eqe-tpXrEiU&feature=relatedhttp://www.youtube.com/watch?v=eqe-tpXrEiU&feature=relatedhttp://www.youtube.com/watch?v=eqe-tpXrEiU&feature=related
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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    Ochelari de pescuit polarizati antireflexii

    Fr ochelari polarizani

    Cu ochelari polarizani

    http://www.youtube.com/watch?v=MNbg4Go8NR0&feature=related

    http://www.youtube.com/watch?v=MNbg4Go8NR0&feature=relatedhttp://www.youtube.com/watch?v=MNbg4Go8NR0&feature=relatedhttp://www.youtube.com/watch?v=MNbg4Go8NR0&feature=relatedhttp://www.youtube.com/watch?v=MNbg4Go8NR0&feature=related
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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    http://www.youtube.com/watch?v=QgA6L2n476Y

    http://www.youtube.com/watch?v=PmoybPcJPS8

    http://www.youtube.com/watch?v=QgA6L2n476Yhttp://www.youtube.com/watch?v=PmoybPcJPS8http://www.youtube.com/watch?v=PmoybPcJPS8http://www.youtube.com/watch?v=PmoybPcJPS8http://www.youtube.com/watch?v=PmoybPcJPS8http://www.youtube.com/watch?v=QgA6L2n476Y
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    http://www.colorado.edu/physics/2000/polarization/polarizationI.html

    http://www.youtube.com/watch?v=Sdv0J57_U5g&feature=related

    http://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.youtube.com/watch?v=Sdv0J57_U5g&feature=relatedhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.html
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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    George Enescu, Nicolae Gherbanovschi Manual clasa a XI-a, EdituraDidactica si Pedagogica 1994

    Gabriela Cone Manual clasa a XI-a, Editura Books Unlimited Publishing

    Octavian Rusu, C-tin Tristaru Manual clasa a XI-a, Editura Corint

    Mircea Rusu, Mircea Nistor Manual clasa a XI-a, Editura Corint

    Bibliografie

    Traian Creu Fizic teorie i probleme volum II, Editura Tehnic, 1993

    F. W.Sears, M. W. Zemansky, H. D. Young Fizica Editura Didactica siPedagogica 1983

    G.G.Brtescu, Optica,Editura Didactica si Pedagogica 1982Ion Bunget, Lucian Burlacu, i alii, Compendiu de fizic, Edituratiinific, 1972

    www,google/images

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    Prof. Elena Rducanu, Colegiul Naional Bnean,Timioara

    http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/

    http://www.colorado.edu/physics/2000/polarization/polarizationI.html

    http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.html

    http://www.enzim.hu/~szia/cddemo/edemo0.htm

    http://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroism

    http://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.html

    http://www.f64.ro/articles/Filtrul_de_polarizare-I_.html

    http://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htm

    http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/http://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://www.enzim.hu/~szia/cddemo/edemo0.htmhttp://www.enzim.hu/~szia/cddemo/edemo0.htmhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.optics.arizona.edu/jcwyant/JoseDiaz/Polarization-Circular.htmhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://www.f64.ro/articles/Filtrul_de_polarizare-I_.htmlhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://physics.kenyon.edu/EarlyApparatus/Polarized_Light/Polarimeter/Polarimeter.htmlhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.photophysics.com/tutorials/circular-dichroism-cd-spectroscopy/1-understanding-circular-dichroismhttp://www.enzim.hu/~szia/cddemo/edemo0.htmhttp://www.enzim.hu/~szia/cddemo/edemo0.htmhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.colorado.edu/physics/2000/polarization/polarizationI.htmlhttp://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/http://www.flickr.com/photos/physicsclassroom/galleries/72157625101670351/