NLO Basics. Bulk Second Harmonic Generation Examples. QuartzQ ZnO bulk and nanowires Organic nanowires

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Transcription:

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Ahamoc Poals U U- P χ χ χ Io P lco pah P

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Gal dscpo of ola polaao A g. ad pos. Ral! fqucy compos : Fld as sum of A Sam oao fo polaao : g. ad pos. Ral! P P suscpbly od od suscpbly. χ m j m m m j m P Sum - fqucy gao : dcs pad ov Summao χ χ χ j j j j j j P : SHG χ j j j j P

Ahamoc oscllao Quaum mchacs cssay bu classcal mchacs sll gvs a usful pcu U- Cosymmy UU U U 4 4.. U No-cosymmc UU U U... U du No - cosymc maal: F m ma d && γ & a c. c. m

Soluo of Soluo of ola quao h fom : λ λ λ Mus hold fo ay λ -o q.fo ms Is o dffal quao : λ : λ : && && γ & m γ & a λ : && γ & a λ o fo λ ms λ : Usual hamoc oscllao saoay soluo : j j D j j γ j m γ j j c. c. λ : Is - h - soluo saoay soluo : m a D D c. c.

Suscpbls P χ χ N md N N s ub of dpols p vol. P χ χ N χ N a m a χ m D D N Noc h fom of h scod od suscpbly: Popooal o la suscpbly! Mlls Rul : m a Thus N χ χ χ χ cosa cosa

P m χ j m Pmuao symmy j m m cs 6 dff sos 6 wh gav 7 lms ach 4 complx umbs Ral flds χ χ j m Pmuao symmy: χ χ j * m m j m m m Coacd oao : d ; ; j ; ½ χ j 4; symmy las wo dcs 5; 6 P d d d d4 d5 d6 P 4 5 6 d d d d d d P d d d d4 d5 d6 Symmy pops wll duc h umb of o - o lms

Poblm Assum ha χ ad χ a compaabl f sma h scod od spg cosa ad dsac bw aoms l χ fa fom soac. Poblm. Boyd

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Isd wav quao da A d da d A d 4 μ da A d : Slowly vayg vlop appoxmao SVA d d da d A d << da fom d od os od quao A A d d Δ Δ f ld f C d da μ A A d Δ flds pump Dcay of da Cospodg quaos fo pump flds μ A A d A A d Δ da pump flds Dcay of μ A A d

Low ffccy pocss cosa ad Assum A A A A A << ca b gad oly A A d d da Δ Δ μ ½ I L A I d L Δ Δ Δ ½ ½ Isy : L sc L A c I L Δ Δ ε ½ 8 L sc L I I d I Δ Δ ε μ ε

Δ P L Phas machg Dvg polaao ad gad fld has h sam phas vlocy I ₀ SHG : Δ o Uaxal cysals : oday ad xa-oday facv dcs KDP KTP BBO... θ c s θ cos θ o oday θ xaoday

Ma fgs θ Bag bw focd ad f mods

Spcal Ifomc scod-hamoc gao of fmo-scod pulss fom a qua wdg Thomas Bu Kss Kjld Pds ad Thomas Gam Pds Isu of Physcs Aalbog Uvsy AAU Dma

SHG wh sho pulss χ Th commg fld cas: Rflcd SHG puls Focd mod popagag wh h spd c/ F mod popagag wh h spd c/ Fo sho pulss h wo mods a spaally spaad a h x of h cysal M. Mlj.M. Wgh J.V. Moloy ad N. Blombg Phys. Rv. L. 8 94 999.

Dow covso pocss Rqus dlay l Puls boadg log KDP ffcs of goup vlocy dspso sho KDP Lmd o ~.5 ps L.D. Noodam H.J. Ba M.P. d Bo ad H.B. va Ld va d Huvll Op. L. 5 464 99.

Phas ssv dco K.J Vsa A.V. Phuov A.P. d Bo ad Th. Rasg Phys. Rv. B 58 R6 998. Masums of boh amplud ad phas of SH sgal Sampl: N Rfc: Pold polym flm Dspso glass: Δ ps

Tm doma : SH g :Slowly vayg vlop I Ω G Ω Phas ssv dco g g τ Φ Fou asfomao : g τ G Ω Ωτ [ α cosτ Ωτ Φ ] Ω :dvao fom c fqucy τ : fxd umb Ωτ : oscllaos wh pod π τ Auocolao : f ε ' ε ' d' Φ ε g g τ Cal pa ad wo sals a ±τ Ivs afomao whou cal pa Oscllag δiω c. c.

Phas masums K.J Vsa A.V. Phuov A.P. d Bo ad Th. Rasg Phys. Rv. B 58 R6 998.

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cgf Ma fgs

Dpdc o agl of cdc

Wavlgh hcss scas 6 Raw-daa xpms mm sca of Qua wdg hcss s [mm] Qua 5 4 4 5 66 68 7 7 74 76 78 Wavlgh [m]

Dlay bw pulss No o dlay a pu fac!

SHG fom ogac aofbs Maula Schc Hos Gü Rubah Js Rafals Buldg blocs fo aoscal lcoopcs ola opcs hp://aofb.fys.sdu.d/dx.php

Asymmcally fucoald paa quaphyls

Fb gowh o mca

AFM scas CLHP4 x μm² MOCNP4 x μm² CNHP4 5x5 μm² <h²> Js Rafals

Roaoal dpdc Roao of pump bam polaao λ p 7 m I87*cos 4 φ. CNHP4 8 SHG ab. us 6 4 SHG I.6*cos 4 φ. Wll odd sysm Rspos domad by χ PL 6 8 4 6 Roao Agl dg

SHG appas ogh wh ppl us 5 MOCLP4 λ 7 m Loa fs o phoo mods I sy ab. 5 SHG 5 4 45 5 msso Wavlgh m Goud sa ad xcd sa o abov ach oh Absopo ad msso maxmum o a bad gap

xcao msso mssowavlgh plo h m Wavlg msso 5 48 46 44 4 4 8 6 CNHP4 o Mca Nomald o qua log scal 88 4 6 87 4 44 476 5 558 578 6 65 6947 74 79 844 98 96 6 94 68 46 49 54 66 74 84 96 95 5 85 545 76 898 9 79 86 56 74 99 46 4546 485 576 55 5894 689 67 76 764 854 87 985 997 57 8 4 85 7 46 56 665 777 896 4 59 4 459 64 8 987 5 55 569 675 648 697 78 7877 845 8969 957 9 6 4 4 4 58 69 77 8 955 86 6 75 54 74 886 msso spcum codd fo ach pump wavlgh Pa of SHG mad 77 m Rpss h bad gap. Vcal l bod bw wo phoo ad h phoo lumscc 4 7 74 76 78 8 8 84 86 88 9 Pump Wavlgh m

Compaso of h maals h m o Wavlg mss 55 5966978 MOCLP4 Nomald o qua 5 5 59679899694458779796546678964484649495954658696879747896874894964964445966978 45 4 785 96 5 78 45 59 756 9 8 48 69 94 4644 4684965 56 585 594 68 64 768 7497 79584 8945 9487 66775459679 45 4 5 6 5 5 5 565 596 6 6778 7549 8 849 9 954 75 4 9 8 6 4 5 6 4 5 7 74 76 78 8 8 84 86 88 9 Pump Wavlgh m 5 msso Wavlg gh m MOCNP4 4 m o Mca Nomald o qua 7 74 76 78 8 8 84 86 88 9 Pump Wavlgh m 7976578 77864855865768849685749454545566757959587479657989684464456478494565956458765646674757976578 894 69 5 5 6 74 86 9 65 4 7 89 464 446 47 465 484 56 587 5 57 69 658 6876 784 756 784 894 856 945 9764 646677868 564 6 9 4 59 45 9 4 9 45 4 48 5 69 69 768 847 9 6 6 9 4 msso Wa avlgh m 48 46 44 4 4 8 6 CNHP4 o Mca Nomald o qua log scal 66 74 84 96 95 5 85 545 76 898 9 9 764 854 87 985 997 57 8 4 85 7 46 56 665 777 896 4 59 4 459 64 8 987 88 4 6 87 4 44 476 5 558 578 6 65 6947 74 79 844 98 96 6 94 68 46 49 54 76 5 55 569 675 648 697 78 7877 845 8969 957 9 6 4 4 4 58 69 77 8 955 86 6 75 54 74 886 79 86 56 74 99 46 4546 485 576 55 5894 689 67 4 7 74 76 78 8 8 84 86 88 9 Pump Wavlgh m

SHG spca Isolao of SHG fom lumscc SHG lav o qua 4 5 5 5 5 CNHP4 MOCNP4 x MOCLP4 x5 4 6 8 4 SH Phoo gy V

Absolu masums of χ MOCNP4 CNHP4 MOCLP4 Covag % 47 m 8 4 5.7 o.5.5

SHG fom ZO aows Chsa Fs Fs Thomas Gam Pds Gowh fom ZO powd fuac a 7 9 C wh C as caalys

PL fom ZO aows Pump Bad gap PL xcd by m lgh: PL Sgal ZO ws o S/SO Dfcs Pa a bad gap 8 m G lumscc fom dfcs 4 5 6 7 8 Wavlgh m

SHG ad PL fom ZO aows. us Is sy ab 5 b 4 7 m PL SHG m 5 4 45 5 55 msso Wavlgh m mss o Wav vlgh m 55 5 45 4 5 a SHG PL 75 8 85 9 95 Pump Wavlgh m 5.. SHG Two phoo dfc PL Two phoo bad gap PL Th phoo bad gap gppl

msso fom dfcs ab. u s Lu msc cc.6.4...6 Dfc msso λ p 75m λ 5 m τ 8s τ 86 s.8 y y A*xp-/τ A*xp-/τ.4.....4.6.8.. Tm μs

Compaso of ws ad bul 6 SH HG I sy ab. u s 5 4 ZO ws o glass ZO cysal 7 74 76 78 8 8 84 86 88 9 Ws hav maxmum wh h bul cysal hav mmum! Pump Wavlgh m

La opcal pops G.. Jllso ad L.A. Boa Phys. Rv. B 58 586 998. Dlc c cosa a 8 7 6 5 4 Room mpau oday _ _ c xaoday c Ral Imagay 4 5 Phoo gy [V]

Nola spos of aows I I d T T ff p p cosθ cosθ 4π L / λ cosθ cosθ 4π L / λ cosθ d ff Nomald spos 8 6 a ZO cysal ffcv mdum am of la 4 opcal pops: 8 6 4 4 b ZO aows o S ZO faco % % % 7 75 8 85 9 95 Pump Wavlgh m Ws ad bul cysal hav h sam ola spos

Cocluso SHG bascs Hgh ffccy a phas machg SHG SFG DFG OPO Pob of χ o cosymmc sysms