electromagnetism de tip left- handed intr-o structura metalo-dielectrica

of 15/15
ELECTROMAGNETISM DE TIP LEFT- HANDED INTR-O STRUCTURA METALO-DIELECTRICA. Cristian Kusko si Mihai Kusko IMT-Bucharest, Romania E-mail: [email protected]

Post on 04-Jan-2016

19 views

Category:

Documents

1 download

Embed Size (px)

DESCRIPTION

ELECTROMAGNETISM DE TIP LEFT- HANDED INTR-O STRUCTURA METALO-DIELECTRICA. Cristian Kusko si Mihai Kusko IMT-Bucharest, Romania E-mail: [email protected] Electromagnetism de tip LH. Structura periodica de rezonatori magnetici si/sau electrici - PowerPoint PPT Presentation

TRANSCRIPT

  • ELECTROMAGNETISM DE TIP LEFT- HANDED INTR-O STRUCTURA METALO-DIELECTRICA.Cristian Kusko si Mihai KuskoIMT-Bucharest, RomaniaE-mail: [email protected]

  • Electromagnetism de tip LHStructura periodica de rezonatori magnetici si/sau electriciLungimea de unda a campului EM trebuie sa fie mult mai mare decat dimensiunile fiecarei componente individualeSistem omogenProprietati magnetice si electrice artificialeRetea rectangulara de fire metalice subtiri - Comportament tip DrudePermitivitate negativa J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett., 76, pp. 4773, (1996) Retea rectangulara de rezonatori split-ringPermeabilitate negativaJ.B. Pendry, A.J. Holden, D.J. Robbins, and W.J. Stewart, IEEE transactions on microwave theory and techniques, 47, (1999)

  • Metamaterial Magnetic - configuratie SRRPolarizare TM Curenti EddyMoment magnetic indusResonantaRaspuns magnetic Moment magnetic pozitiv sau negativ

    >>aAproximatia mediului efectivPermeabilitate negativa

  • Celula unitate a ubui cristal fotonic 2-dimensional continind un clindru cu permitivitatea cyl Sistemul prezinta o permeabilitatemagnetica efectiva y. Celula unitate a unei structurimetalo-dielectrice continind un cristal fotonic dielectric orientat in directia y intretesut cu o retea de fire metalice orientate in directia x

    Sistemul prezinta constantele efective y and xLHM unidirectionaln

  • Resonante Mie in SrTiO3 la frecvente de microunde

    Z. Zhai, C. Kusko, N. Hakim, S. Sridhar, A. Viektine, and A. RevcolevskiRev. Sci. Instr. 70, 3151 (2000)L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media

    Zero al functiei Bessel

  • Puterea reflectata (linia neagra) si puterea transmisa (linia gri) a cristalului fotonic dielectricband gap datorat zero order Mie resonance, Raspunsul EM a unui cristal fotonic cu constanta dielectricaS. OBrien and J. B. Pendry, J. Phys. Condensed Matter, 14 6383, (2002).

  • Puterea reflectata (linia neagra) si puterea transmisa (linia gri) a cristalului fotonic metalicCristal Fotonic metalicDrude

  • Raspunsul EM al structurii metalo-dielectrice Puterea reflectata (linia neagra) si puterea transmisa (linia gri) a structurii LHM metalo-dielectrice Filtru Pass-band

  • Faza undei propagateHigh dielectric PCLHM structure

  • Doua celule unitate a configuratiei de single split rezonator metalici de forma cilindrica reprezentati de-a lungul directiei x de propagare a campului electromagnetic. Componenta magnetica a campului este paralela cu generatoare cilindrilor.R=125 nma=625nmw=125 nmg=18 nm

    A. Ishikawa, T. Tanaka and S. Kawata, Phys. Rev. Lett. 95, 237401 (2005)

  • Amplitudinea (linia rosie) si faza (linia albastra) a campului electromagnetic, obtinut prin simulare FDTD, intr-o structura SSRR de-a lungul directiei de propagare.

  • Spectrul puterii reflectate a nanostructurii SSRR ca functie de lungimea de unda (masurata in microni) a radiatiei incidenteVariatia schimbarii de faza la reflexie ca functie de lungimea de unda a radiatiei incidente.

    Chart1

    0.53

    0.53

    0.529

    0.566

    0.603

    0.637

    0.71

    0.835

    0.852

    0.817

    0.745

    0.548

    0.256

    0.25

    0.238

    0.28

    0.4

    0.366

    0.276

    0.25

    0.244

    0.253

    r

    l

    Sheet1

    lIm_kx2x1lambdaRe_kIm_nRe_nphiphi_refphaserRe_rIm_rIm_ZRe_ZIm_ZRe_ZRe_muZZRe_eps

    3.40.0359.27.732.09439510240.01893943821.1333333333-1.89-1.692.94159265360.53-0.51943528630.10529474530.13956763060.31149126280.13956763060.31149126280.35038009860.34132965050.34132965051.0420037145

    3.50.046.334.663.341.88119320570.0222816921.04790419161.41.572.97159265360.53-0.52235992650.0896666450.11839370140.31028840030.11839370140.31028840030.32251450320.33210835560.33210835560.9869987361

    3.60.0486.434.643.581.75507969470.02750197421.0055865922-1.714-1.42.82759265360.529-0.50313492580.16338986010.22120516430.31883138990.22120516430.31883138990.31452899210.38805306320.38805306320.8418852484

    3.70.0626.64.73.81.65346981770.03651014390.97368421051.2481.5352.85459265360.566-0.5428491390.16022113540.21085913930.28558300440.21085913930.28558300440.27036916460.35499187170.35499187170.8049935292

    3.80.097.135.054.161.51038108350.05443099050.9134615385-2.257-1.9292.81359265360.603-0.57085318790.1942566290.25249343490.25800893940.25249343490.25800893940.22193777490.36100075820.36100075820.6909257246

    3.90.1458.175.495.361.17223606480.09000212030.72761194030.4150.7332.82359265360.637-0.60506250950.19916917320.25321467880.23075089110.25321467880.23075089110.14510724560.34258378150.34258378150.5566140953

    40.2710.16.826.560.95780263830.17188733850.60975609762.845-3.022.72340734640.71-0.64881745150.28833299270.3632232980.18266164310.3632232980.18266164310.04894556470.4065666490.4065666490.4275130218

    4.10.5104.311.40.55115660590.32626763330.3596491228-1.2-0.622.56159265360.835-0.69844631270.45759998720.58595575620.10564106480.58595575620.1056410648-0.15318468150.59540253850.59540253850.3849028167

    4.21.310.669.20.68295492470.86898598930.45652173910.831.72.27159265360.852-0.54939221820.65120825431.04462044160.11870536371.04462044160.1187053637-0.85356894881.05134334571.05134334570.9149742669

    4.3210.777.40.84907909561.36873251060.58108108112.755-2.392.00340734640.817-0.34252129090.7417332171.7089788740.21081915081.7089788740.2108191508-2.21663192471.72193307251.72193307251.4295781899

    4.42.510.685.21.20830486681.7507043740.8461538462-1.8-0.311.65159265360.745-0.06012779410.74256962533.95767390880.67953684913.95767390880.6795368491-6.35372430464.0155887614.0155887611.8686449704

    4.52.75.284.22.162.90888208671.93373255862.0833333333-0.351.6771.11459265360.5480.24141767790.4919568119-31.9086190388-14.6584979175342.5321356576552.8269062018

    4.60.84.983.82.362.66236665560.58569019061.94915254240.959-2.6640.48140734640.2560.22690410530.11853491890.81694192072.56382167650.81694192072.56382167654.51880466972.69083178412.69083178412.034967195

    4.70.455.84.62.42.6179938780.33661270461.95833333331.26601.87559265360.25-0.0750247240.23847702360.52991982640.83328755070.52991982640.83328755071.45347704080.98751362750.98751362751.8331215715

    4.80.36.054.852.42.6179938780.229183118121.5350.872.47659265360.238-0.18728619490.14686007360.25842625590.67043683880.25842625590.67043683881.28164674240.71851909130.71851909131.9485920829

    4.90.255.844.622.442.57507594560.19496480532.00819672132.82.552.89159265360.28-0.27129547810.06927310860.10973167240.57025594590.10973167240.57025594591.12379230670.58071755940.58071755942.0088594123

    50.25.294.052.482.53354246260.15915494312.0161290323-2.253-2.112.99859265360.4-0.39591716460.05700525210.08191384690.4310857890.08191384690.4310857890.8560875810.43879931150.43879931152.0103987064

    5.10.155.864.582.562.45436926060.12175353151.9921875-1-0.5472.68859265360.366-0.3290845650.16018535850.24793249550.49064784580.24793249550.49064784580.94727584840.54973250850.54973250851.8329808526

    5.20.125.33.982.642.37999443450.09931268451.96969696970.350.952.54159265360.276-0.22779262970.15584132270.26423070550.61377504870.26423070550.61377504871.18270939270.66823474620.66823474621.8484407179

    5.30.16.094.62.982.10845144540.08435211981.77852348991.892.382.65159265360.25-0.22058321470.1176564720.19754833440.62963493730.19754833440.62963493731.10315690530.65989809720.65989809721.7222115834

    5.40.085.4742.942.13713785960.06875493541.8367346939-2.88-2.482.74159265360.244-0.22473888250.09501807550.15764384590.62713724130.15764384590.62713724131.14104593640.64664727750.64664727751.7980799761

    5.50.076.484.863.241.93925472440.06127465311.6975308642-1.519-1.22.82259265360.253-0.2402360260.07934514350.12928219980.60856782750.12928219980.60856782751.02514094820.62214844520.62214844521.6732090229

    Sheet1

    Im_k

    Re_k

    l

    Sheet2

    Im_n

    Re_n

    l

    Sheet3

    phase

    r

    l

    Im_Z

    Re_Z

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Re_mu

    Re_eps

    Chart2

    2.9415926536

    2.9715926536

    2.8275926536

    2.8545926536

    2.8135926536

    2.8235926536

    2.7234073464

    2.5615926536

    2.2715926536

    2.0034073464

    1.6515926536

    1.1145926536

    0.4814073464

    1.8755926536

    2.4765926536

    2.8915926536

    2.9985926536

    2.6885926536

    2.5415926536

    2.6515926536

    2.7415926536

    2.8225926536

    phase

    l

    Sheet1

    lIm_kx2x1lambdaRe_kIm_nRe_nphiphi_refphaserRe_rIm_rIm_ZRe_ZIm_ZRe_ZRe_muZZRe_eps

    3.40.0359.27.732.09439510240.01893943821.1333333333-1.89-1.692.94159265360.53-0.51943528630.10529474530.13956763060.31149126280.13956763060.31149126280.35038009860.34132965050.34132965051.0420037145

    3.50.046.334.663.341.88119320570.0222816921.04790419161.41.572.97159265360.53-0.52235992650.0896666450.11839370140.31028840030.11839370140.31028840030.32251450320.33210835560.33210835560.9869987361

    3.60.0486.434.643.581.75507969470.02750197421.0055865922-1.714-1.42.82759265360.529-0.50313492580.16338986010.22120516430.31883138990.22120516430.31883138990.31452899210.38805306320.38805306320.8418852484

    3.70.0626.64.73.81.65346981770.03651014390.97368421051.2481.5352.85459265360.566-0.5428491390.16022113540.21085913930.28558300440.21085913930.28558300440.27036916460.35499187170.35499187170.8049935292

    3.80.097.135.054.161.51038108350.05443099050.9134615385-2.257-1.9292.81359265360.603-0.57085318790.1942566290.25249343490.25800893940.25249343490.25800893940.22193777490.36100075820.36100075820.6909257246

    3.90.1458.175.495.361.17223606480.09000212030.72761194030.4150.7332.82359265360.637-0.60506250950.19916917320.25321467880.23075089110.25321467880.23075089110.14510724560.34258378150.34258378150.5566140953

    40.2710.16.826.560.95780263830.17188733850.60975609762.845-3.022.72340734640.71-0.64881745150.28833299270.3632232980.18266164310.3632232980.18266164310.04894556470.4065666490.4065666490.4275130218

    4.10.5104.311.40.55115660590.32626763330.3596491228-1.2-0.622.56159265360.835-0.69844631270.45759998720.58595575620.10564106480.58595575620.1056410648-0.15318468150.59540253850.59540253850.3849028167

    4.21.310.669.20.68295492470.86898598930.45652173910.831.72.27159265360.852-0.54939221820.65120825431.04462044160.11870536371.04462044160.1187053637-0.85356894881.05134334571.05134334570.9149742669

    4.3210.777.40.84907909561.36873251060.58108108112.755-2.392.00340734640.817-0.34252129090.7417332171.7089788740.21081915081.7089788740.2108191508-2.21663192471.72193307251.72193307251.4295781899

    4.42.510.685.21.20830486681.7507043740.8461538462-1.8-0.311.65159265360.745-0.06012779410.74256962533.95767390880.67953684913.95767390880.6795368491-6.35372430464.0155887614.0155887611.8686449704

    4.52.75.284.22.162.90888208671.93373255862.0833333333-0.351.6771.11459265360.5480.24141767790.4919568119-31.9086190388-14.6584979175342.5321356576552.8269062018

    4.60.84.983.82.362.66236665560.58569019061.94915254240.959-2.6640.48140734640.2560.22690410530.11853491890.81694192072.56382167650.81694192072.56382167654.51880466972.69083178412.69083178412.034967195

    4.70.455.84.62.42.6179938780.33661270461.95833333331.26601.87559265360.25-0.0750247240.23847702360.52991982640.83328755070.52991982640.83328755071.45347704080.98751362750.98751362751.8331215715

    4.80.36.054.852.42.6179938780.229183118121.5350.872.47659265360.238-0.18728619490.14686007360.25842625590.67043683880.25842625590.67043683881.28164674240.71851909130.71851909131.9485920829

    4.90.255.844.622.442.57507594560.19496480532.00819672132.82.552.89159265360.28-0.27129547810.06927310860.10973167240.57025594590.10973167240.57025594591.12379230670.58071755940.58071755942.0088594123

    50.25.294.052.482.53354246260.15915494312.0161290323-2.253-2.112.99859265360.4-0.39591716460.05700525210.08191384690.4310857890.08191384690.4310857890.8560875810.43879931150.43879931152.0103987064

    5.10.155.864.582.562.45436926060.12175353151.9921875-1-0.5472.68859265360.366-0.3290845650.16018535850.24793249550.49064784580.24793249550.49064784580.94727584840.54973250850.54973250851.8329808526

    5.20.125.33.982.642.37999443450.09931268451.96969696970.350.952.54159265360.276-0.22779262970.15584132270.26423070550.61377504870.26423070550.61377504871.18270939270.66823474620.66823474621.8484407179

    5.30.16.094.62.982.10845144540.08435211981.77852348991.892.382.65159265360.25-0.22058321470.1176564720.19754833440.62963493730.19754833440.62963493731.10315690530.65989809720.65989809721.7222115834

    5.40.085.4742.942.13713785960.06875493541.8367346939-2.88-2.482.74159265360.244-0.22473888250.09501807550.15764384590.62713724130.15764384590.62713724131.14104593640.64664727750.64664727751.7980799761

    5.50.076.484.863.241.93925472440.06127465311.6975308642-1.519-1.22.82259265360.253-0.2402360260.07934514350.12928219980.60856782750.12928219980.60856782751.02514094820.62214844520.62214844521.6732090229

    Sheet1

    Im_k

    Re_k

    l

    Sheet2

    Im_n

    Re_n

    l

    Sheet3

    phase

    l

    r

    l

    Im_Z

    Re_Z

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Re_mu

    Re_eps

  • Dependenta de lungimea de unda a indicelui de refractie complexDependenta de lungimea de unda a impedantei de suprafata complexaS. OBrien and J. B. Pendry, J. Phys. Condensed Matter, 14 6383, (2002).

    Chart4

    0.01893943821.1333333333

    0.0222816921.0479041916

    0.02750197421.0055865922

    0.03651014390.9736842105

    0.05443099050.9134615385

    0.09000212030.7276119403

    0.17188733850.6097560976

    0.32626763330.3596491228

    0.86898598930.4565217391

    1.36873251060.5810810811

    1.7507043740.8461538462

    1.93373255862.0833333333

    0.58569019061.9491525424

    0.33661270461.9583333333

    0.22918311812

    0.19496480532.0081967213

    0.15915494312.0161290323

    0.12175353151.9921875

    0.09931268451.9696969697

    0.08435211981.7785234899

    0.06875493541.8367346939

    0.06127465311.6975308642

    Im_n

    Re_n

    l

    Sheet1

    lIm_kx2x1lambdaRe_kIm_nRe_nphiphi_refphaserRe_rIm_rIm_ZRe_ZIm_ZRe_ZRe_muZZRe_eps

    3.40.0359.27.732.09439510240.01893943821.1333333333-1.89-1.692.94159265360.53-0.51943528630.10529474530.13956763060.31149126280.13956763060.31149126280.35038009860.34132965050.34132965051.0420037145

    3.50.046.334.663.341.88119320570.0222816921.04790419161.41.572.97159265360.53-0.52235992650.0896666450.11839370140.31028840030.11839370140.31028840030.32251450320.33210835560.33210835560.9869987361

    3.60.0486.434.643.581.75507969470.02750197421.0055865922-1.714-1.42.82759265360.529-0.50313492580.16338986010.22120516430.31883138990.22120516430.31883138990.31452899210.38805306320.38805306320.8418852484

    3.70.0626.64.73.81.65346981770.03651014390.97368421051.2481.5352.85459265360.566-0.5428491390.16022113540.21085913930.28558300440.21085913930.28558300440.27036916460.35499187170.35499187170.8049935292

    3.80.097.135.054.161.51038108350.05443099050.9134615385-2.257-1.9292.81359265360.603-0.57085318790.1942566290.25249343490.25800893940.25249343490.25800893940.22193777490.36100075820.36100075820.6909257246

    3.90.1458.175.495.361.17223606480.09000212030.72761194030.4150.7332.82359265360.637-0.60506250950.19916917320.25321467880.23075089110.25321467880.23075089110.14510724560.34258378150.34258378150.5566140953

    40.2710.16.826.560.95780263830.17188733850.60975609762.845-3.022.72340734640.71-0.64881745150.28833299270.3632232980.18266164310.3632232980.18266164310.04894556470.4065666490.4065666490.4275130218

    4.10.5104.311.40.55115660590.32626763330.3596491228-1.2-0.622.56159265360.835-0.69844631270.45759998720.58595575620.10564106480.58595575620.1056410648-0.15318468150.59540253850.59540253850.3849028167

    4.21.310.669.20.68295492470.86898598930.45652173910.831.72.27159265360.852-0.54939221820.65120825431.04462044160.11870536371.04462044160.1187053637-0.85356894881.05134334571.05134334570.9149742669

    4.3210.777.40.84907909561.36873251060.58108108112.755-2.392.00340734640.817-0.34252129090.7417332171.7089788740.21081915081.7089788740.2108191508-2.21663192471.72193307251.72193307251.4295781899

    4.42.510.685.21.20830486681.7507043740.8461538462-1.8-0.311.65159265360.745-0.06012779410.74256962533.95767390880.67953684913.95767390880.6795368491-6.35372430464.0155887614.0155887611.8686449704

    4.52.75.284.22.162.90888208671.93373255862.0833333333-0.351.6771.11459265360.5480.24141767790.4919568119-31.9086190388-14.6584979175342.5321356576552.8269062018

    4.60.84.983.82.362.66236665560.58569019061.94915254240.959-2.6640.48140734640.2560.22690410530.11853491890.81694192072.56382167650.81694192072.56382167654.51880466972.69083178412.69083178412.034967195

    4.70.455.84.62.42.6179938780.33661270461.95833333331.26601.87559265360.25-0.0750247240.23847702360.52991982640.83328755070.52991982640.83328755071.45347704080.98751362750.98751362751.8331215715

    4.80.36.054.852.42.6179938780.229183118121.5350.872.47659265360.238-0.18728619490.14686007360.25842625590.67043683880.25842625590.67043683881.28164674240.71851909130.71851909131.9485920829

    4.90.255.844.622.442.57507594560.19496480532.00819672132.82.552.89159265360.28-0.27129547810.06927310860.10973167240.57025594590.10973167240.57025594591.12379230670.58071755940.58071755942.0088594123

    50.25.294.052.482.53354246260.15915494312.0161290323-2.253-2.112.99859265360.4-0.39591716460.05700525210.08191384690.4310857890.08191384690.4310857890.8560875810.43879931150.43879931152.0103987064

    5.10.155.864.582.562.45436926060.12175353151.9921875-1-0.5472.68859265360.366-0.3290845650.16018535850.24793249550.49064784580.24793249550.49064784580.94727584840.54973250850.54973250851.8329808526

    5.20.125.33.982.642.37999443450.09931268451.96969696970.350.952.54159265360.276-0.22779262970.15584132270.26423070550.61377504870.26423070550.61377504871.18270939270.66823474620.66823474621.8484407179

    5.30.16.094.62.982.10845144540.08435211981.77852348991.892.382.65159265360.25-0.22058321470.1176564720.19754833440.62963493730.19754833440.62963493731.10315690530.65989809720.65989809721.7222115834

    5.40.085.4742.942.13713785960.06875493541.8367346939-2.88-2.482.74159265360.244-0.22473888250.09501807550.15764384590.62713724130.15764384590.62713724131.14104593640.64664727750.64664727751.7980799761

    5.50.076.484.863.241.93925472440.06127465311.6975308642-1.519-1.22.82259265360.253-0.2402360260.07934514350.12928219980.60856782750.12928219980.60856782751.02514094820.62214844520.62214844521.6732090229

    Sheet1

    Im_k

    Re_k

    l

    Sheet2

    Im_n

    Re_n

    l

    Sheet3

    phase

    l

    r

    l

    Im_Z

    Re_Z

    Re_mu

    Re_eps

    Chart1

    0.13956763060.3114912628

    0.11839370140.3102884003

    0.22120516430.3188313899

    0.21085913930.2855830044

    0.25249343490.2580089394

    0.25321467880.2307508911

    0.3632232980.1826616431

    0.58595575620.1056410648

    1.04462044160.1187053637

    1.7089788740.2108191508

    3.95767390880.6795368491

    34

    0.81694192072.5638216765

    0.52991982640.8332875507

    0.25842625590.6704368388

    0.10973167240.5702559459

    0.08191384690.431085789

    0.24793249550.4906478458

    0.26423070550.6137750487

    0.19754833440.6296349373

    0.15764384590.6271372413

    0.12928219980.6085678275

    Im_Z

    Re_Z

    l

    Sheet1

    lIm_kx2x1lambdaRe_kIm_nRe_nphiphi_refphaserRe_rIm_rIm_ZRe_ZIm_ZRe_ZRe_muZZRe_eps

    3.40.0359.27.732.09439510240.01893943821.1333333333-1.89-1.692.94159265360.53-0.51943528630.10529474530.13956763060.31149126280.13956763060.31149126280.35038009860.34132965050.34132965051.0420037145

    3.50.046.334.663.341.88119320570.0222816921.04790419161.41.572.97159265360.53-0.52235992650.0896666450.11839370140.31028840030.11839370140.31028840030.32251450320.33210835560.33210835560.9869987361

    3.60.0486.434.643.581.75507969470.02750197421.0055865922-1.714-1.42.82759265360.529-0.50313492580.16338986010.22120516430.31883138990.22120516430.31883138990.31452899210.38805306320.38805306320.8418852484

    3.70.0626.64.73.81.65346981770.03651014390.97368421051.2481.5352.85459265360.566-0.5428491390.16022113540.21085913930.28558300440.21085913930.28558300440.27036916460.35499187170.35499187170.8049935292

    3.80.097.135.054.161.51038108350.05443099050.9134615385-2.257-1.9292.81359265360.603-0.57085318790.1942566290.25249343490.25800893940.25249343490.25800893940.22193777490.36100075820.36100075820.6909257246

    3.90.1458.175.495.361.17223606480.09000212030.72761194030.4150.7332.82359265360.637-0.60506250950.19916917320.25321467880.23075089110.25321467880.23075089110.14510724560.34258378150.34258378150.5566140953

    40.2710.16.826.560.95780263830.17188733850.60975609762.845-3.022.72340734640.71-0.64881745150.28833299270.3632232980.18266164310.3632232980.18266164310.04894556470.4065666490.4065666490.4275130218

    4.10.5104.311.40.55115660590.32626763330.3596491228-1.2-0.622.56159265360.835-0.69844631270.45759998720.58595575620.10564106480.58595575620.1056410648-0.15318468150.59540253850.59540253850.3849028167

    4.21.310.669.20.68295492470.86898598930.45652173910.831.72.27159265360.852-0.54939221820.65120825431.04462044160.11870536371.04462044160.1187053637-0.85356894881.05134334571.05134334570.9149742669

    4.3210.777.40.84907909561.36873251060.58108108112.755-2.392.00340734640.817-0.34252129090.7417332171.7089788740.21081915081.7089788740.2108191508-2.21663192471.72193307251.72193307251.4295781899

    4.42.510.685.21.20830486681.7507043740.8461538462-1.8-0.311.65159265360.745-0.06012779410.74256962533.95767390880.67953684913.95767390880.6795368491-6.35372430464.0155887614.0155887611.8686449704

    4.52.75.284.22.162.90888208671.93373255862.0833333333-0.351.6771.11459265360.5480.24141767790.4919568119-31.9086190388-14.6584979175342.5321356576552.8269062018

    4.60.84.983.82.362.66236665560.58569019061.94915254240.959-2.6640.48140734640.2560.22690410530.11853491890.81694192072.56382167650.81694192072.56382167654.51880466972.69083178412.69083178412.034967195

    4.70.455.84.62.42.6179938780.33661270461.95833333331.26601.87559265360.25-0.0750247240.23847702360.52991982640.83328755070.52991982640.83328755071.45347704080.98751362750.98751362751.8331215715

    4.80.36.054.852.42.6179938780.229183118121.5350.872.47659265360.238-0.18728619490.14686007360.25842625590.67043683880.25842625590.67043683881.28164674240.71851909130.71851909131.9485920829

    4.90.255.844.622.442.57507594560.19496480532.00819672132.82.552.89159265360.28-0.27129547810.06927310860.10973167240.57025594590.10973167240.57025594591.12379230670.58071755940.58071755942.0088594123

    50.25.294.052.482.53354246260.15915494312.0161290323-2.253-2.112.99859265360.4-0.39591716460.05700525210.08191384690.4310857890.08191384690.4310857890.8560875810.43879931150.43879931152.0103987064

    5.10.155.864.582.562.45436926060.12175353151.9921875-1-0.5472.68859265360.366-0.3290845650.16018535850.24793249550.49064784580.24793249550.49064784580.94727584840.54973250850.54973250851.8329808526

    5.20.125.33.982.642.37999443450.09931268451.96969696970.350.952.54159265360.276-0.22779262970.15584132270.26423070550.61377504870.26423070550.61377504871.18270939270.66823474620.66823474621.8484407179

    5.30.16.094.62.982.10845144540.08435211981.77852348991.892.382.65159265360.25-0.22058321470.1176564720.19754833440.62963493730.19754833440.62963493731.10315690530.65989809720.65989809721.7222115834

    5.40.085.4742.942.13713785960.06875493541.8367346939-2.88-2.482.74159265360.244-0.22473888250.09501807550.15764384590.62713724130.15764384590.62713724131.14104593640.64664727750.64664727751.7980799761

    5.50.076.484.863.241.93925472440.06127465311.6975308642-1.519-1.22.82259265360.253-0.2402360260.07934514350.12928219980.60856782750.12928219980.60856782751.02514094820.62214844520.62214844521.6732090229

    Sheet1

    Im_k

    Re_k

    l

    Sheet2

    Im_n

    Re_n

    l

    Sheet3

    phase

    l

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    r

    l

    Im_Z

    Re_Z

    l

    Re_mu

    Re_eps

    l

  • Dependenta de lungimea de unda a partilor reale pentru permeabilitatea magnetica (linia albastra) si permitivitatea electrica (linia galbena). In domeniul spectral 6 7.2 centimetri permeabilitatea sistemului este negativa.

    Chart7

    0.35038009861.0420037145

    0.32251450320.9869987361

    0.31452899210.8418852484

    0.27036916460.8049935292

    0.22193777490.6909257246

    0.14510724560.5566140953

    0.04894556470.4275130218

    -0.15318468150.3849028167

    -0.85356894880.9149742669

    -2.21663192471.4295781899

    -6.35372430461.8686449704

    2.53213565762.8269062018

    4.51880466972.034967195

    1.45347704081.8331215715

    1.28164674241.9485920829

    1.12379230672.0088594123

    0.8560875812.0103987064

    0.94727584841.8329808526

    1.18270939271.8484407179

    1.10315690531.7222115834

    1.14104593641.7980799761

    1.02514094821.6732090229

    Re_mu

    Re_eps

    l

    Sheet1

    lIm_kx2x1lambdaRe_kIm_nRe_nphiphi_refphaserRe_rIm_rIm_ZRe_ZIm_ZRe_ZRe_muZZRe_eps

    3.40.0359.27.732.09439510240.01893943821.1333333333-1.89-1.692.94159265360.53-0.51943528630.10529474530.13956763060.31149126280.13956763060.31149126280.35038009860.34132965050.34132965051.0420037145

    3.50.046.334.663.341.88119320570.0222816921.04790419161.41.572.97159265360.53-0.52235992650.0896666450.11839370140.31028840030.11839370140.31028840030.32251450320.33210835560.33210835560.9869987361

    3.60.0486.434.643.581.75507969470.02750197421.0055865922-1.714-1.42.82759265360.529-0.50313492580.16338986010.22120516430.31883138990.22120516430.31883138990.31452899210.38805306320.38805306320.8418852484

    3.70.0626.64.73.81.65346981770.03651014390.97368421051.2481.5352.85459265360.566-0.5428491390.16022113540.21085913930.28558300440.21085913930.28558300440.27036916460.35499187170.35499187170.8049935292

    3.80.097.135.054.161.51038108350.05443099050.9134615385-2.257-1.9292.81359265360.603-0.57085318790.1942566290.25249343490.25800893940.25249343490.25800893940.22193777490.36100075820.36100075820.6909257246

    3.90.1458.175.495.361.17223606480.09000212030.72761194030.4150.7332.82359265360.637-0.60506250950.19916917320.25321467880.23075089110.25321467880.23075089110.14510724560.34258378150.34258378150.5566140953

    40.2710.16.826.560.95780263830.17188733850.60975609762.845-3.022.72340734640.71-0.64881745150.28833299270.3632232980.18266164310.3632232980.18266164310.04894556470.4065666490.4065666490.4275130218

    4.10.5104.311.40.55115660590.32626763330.3596491228-1.2-0.622.56159265360.835-0.69844631270.45759998720.58595575620.10564106480.58595575620.1056410648-0.15318468150.59540253850.59540253850.3849028167

    4.21.310.669.20.68295492470.86898598930.45652173910.831.72.27159265360.852-0.54939221820.65120825431.04462044160.11870536371.04462044160.1187053637-0.85356894881.05134334571.05134334570.9149742669

    4.3210.777.40.84907909561.36873251060.58108108112.755-2.392.00340734640.817-0.34252129090.7417332171.7089788740.21081915081.7089788740.2108191508-2.21663192471.72193307251.72193307251.4295781899

    4.42.510.685.21.20830486681.7507043740.8461538462-1.8-0.311.65159265360.745-0.06012779410.74256962533.95767390880.67953684913.95767390880.6795368491-6.35372430464.0155887614.0155887611.8686449704

    4.52.75.284.22.162.90888208671.93373255862.0833333333-0.351.6771.11459265360.5480.24141767790.4919568119-31.9086190388-14.6584979175342.5321356576552.8269062018

    4.60.84.983.82.362.66236665560.58569019061.94915254240.959-2.6640.48140734640.2560.22690410530.11853491890.81694192072.56382167650.81694192072.56382167654.51880466972.69083178412.69083178412.034967195

    4.70.455.84.62.42.6179938780.33661270461.95833333331.26601.87559265360.25-0.0750247240.23847702360.52991982640.83328755070.52991982640.83328755071.45347704080.98751362750.98751362751.8331215715

    4.80.36.054.852.42.6179938780.229183118121.5350.872.47659265360.238-0.18728619490.14686007360.25842625590.67043683880.25842625590.67043683881.28164674240.71851909130.71851909131.9485920829

    4.90.255.844.622.442.57507594560.19496480532.00819672132.82.552.89159265360.28-0.27129547810.06927310860.10973167240.57025594590.10973167240.57025594591.12379230670.58071755940.58071755942.0088594123

    50.25.294.052.482.53354246260.15915494312.0161290323-2.253-2.112.99859265360.4-0.39591716460.05700525210.08191384690.4310857890.08191384690.4310857890.8560875810.43879931150.43879931152.0103987064

    5.10.155.864.582.562.45436926060.12175353151.9921875-1-0.5472.68859265360.366-0.3290845650.16018535850.24793249550.49064784580.24793249550.49064784580.94727584840.54973250850.54973250851.8329808526

    5.20.125.33.982.642.37999443450.09931268451.96969696970.350.952.54159265360.276-0.22779262970.15584132270.26423070550.61377504870.26423070550.61377504871.18270939270.66823474620.66823474621.8484407179

    5.30.16.094.62.982.10845144540.08435211981.77852348991.892.382.65159265360.25-0.22058321470.1176564720.19754833440.62963493730.19754833440.62963493731.10315690530.65989809720.65989809721.7222115834

    5.40.085.4742.942.13713785960.06875493541.8367346939-2.88-2.482.74159265360.244-0.22473888250.09501807550.15764384590.62713724130.15764384590.62713724131.14104593640.64664727750.64664727751.7980799761

    5.50.076.484.863.241.93925472440.06127465311.6975308642-1.519-1.22.82259265360.253-0.2402360260.07934514350.12928219980.60856782750.12928219980.60856782751.02514094820.62214844520.62214844521.6732090229

    Sheet1

    Im_k

    Re_k

    l

    Sheet2

    Im_n

    Re_n

    l

    Sheet3

    phase

    l

    r

    l

    Im_Z

    Re_Z

    l

    Re_mu

    Re_eps

    l

  • ConcluziiPropagare LH intr-o structura metalo-dielectricaMicroundeInfrarosu sau vizibil?

    Determinarea structurii de benziCalculul permitivitatii si permeabilitatii