Lecture Y4: Computational Optics I

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1 Phooc ad opolcoc chologs DPMS: Advacd Maals Udsadg lgh ma acos s cucal fo w applcaos Lcu Y4: Compuaoal Opcs I lfos Ldoks Room Π, ldok@cc.uo.g hp://cmsl.maals.uo.g/ldoks Rflco ad faco Toal al flco Tappg ad gudg lgh Maal pop: dlcc fuco d of faco 3 4

2 Dffacd wavs f Dffaco ad fc Dffaco gags g Dffaco gags a usd fo wavlgh spaao 5 6 Naus dffaco gags phooc csals Sucual colo Phooc csals cholog Applcaos m lgh mapulao 7 8

3 ampls of D phooc csals ampls of D phooc csals 9 ampls of 3D phooc csals Plasmocs: acos wh aosucud mals απορρόφ ός φηση φωτό συχνότητα φωτός kodsk.wbs.com

4 Plasmocs h mddl ags Εφαρμογές πλασμονικών νανοσωματιδίων στην ιατρική a GFR cougad gold aopacls 3 Isu of Naocholog, Nohws Uvs Rc Uvs 4 Sufac plasmos Oul /M wavs Wav quaos Bouda codos Maals opcal spos Maals opcal chaaczao Numcal soluos Applcaos dsg 5 6

5 Th classcal au of lgh Oscllag lcc ad magc flds popagao spd c=3 8 m/s Tasvs wavs ppdcula o popagao dco ppdcula o ach oh Gs polazd lal polazd (.g. ad cculal polazd (.g. gh ad lf gall wo ohogoal polazaos Iaco wh maals flco, faco, absopo, fc, scag, dffaco, /M wav pops Wavlgh λ spaal podc Pod T mpoal podc Wavvco k / spaal po a Agula fquc /T mpoal po a Dspso lao k / c ( s d of faco lao bw k ad ω lao bw spac ad m lao bw momum ad g (, p k I 3D spac, k s a 3D vco lcc ad magc flds a 3D vcos polazao of wav s h lcc fld polazao 7 8 /M wav quaos /M wav quaos D Mawll s quaos D B B D Cosuv laos D P D D(, B B(, (, (, B ( M Maal pops lcc pmv ( magc pmabl ( facv d ( ( ( A opcal fqucs 9 Mawll s quaos B D D z z Comb fo o uqu quao z z z z z z z c c /( Wav soluo a pla wavs ˆ dspso lao ( kz k ( kz c ( kz k / c / c

6 Bouda codos a facs cos cos s cos cos s Cou a h bouda: s s of h paalll compos of h lcc fld s s // of h ppdcula compos of h dsplacm of h paalll compos of h magc fld // D cos cos s s of h ppdcula compos of h ducac B cos cos Rflco ad faco a a fac asvs magc (TM p polazao k k k asvs lcc (T s polazao k k k Bouda codos o k k s k s paalll compo of k cosvd k k / c momum cosvao s s Sll s law Bouda codos o flds flco ad asmsso ampluds, flcv ad asmac R, T ( / Isd maals /, c / Rflco ad asmsso fom a h flm kd kd maals chaaczao 3 a flco coags dff fo s ad p polazaos Rflco fom podc flm aas D phooc csal Bagg mo mulpl flcos sul o m flco fo som fqucs pfc mos fo lass, slcv fls, ssos, c Toal flco kd kd kd kd kd kd k / c d a omal cdc kd 3 kd kd kd kd [ (...]

7 Dlcc fuco: maal polazabl Dlcc fuco ach obal has a dff cobuo lcoc: UV ad Vsbl aomc: IR c N m d d Dv oscllao m m K d d K / m K m N m Assum hamoc oscllao m m m m Polazao dpds o umb ds of lcoc obals al P N N m Dlcc fuco D N P m N m 5 ω γ mag 6 Maals opcal chaaczao Numcal soluo Rflcac spcoscop Cosd D Mawll s quaos, z z F dffc m doma mhod (FDTD dscz spac o gds (Δ dsac bw gds llpsom Df lcc fld o gds z w wll also dscz m o m sps (Δ m bw m sps z 7 pu magc fld a half gds ad half m sps / / / / / 8 3/

8 Spac m gd D FDTD D ad 3D FDTD / / / / / / 3/ 5/ Y lac: dff sublacs fo lcc ad magc flds cal dffcs fo all fld compos Appoma Mawll s quaos b cal dffcs Assum w kow vhg fo a m ad fo a m / z z - / / / / z - z Fld upda algohm c / / / / z c z / / / / - - / / / / z h omalzao was mad / D sabl codo c z 9 3

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