Chapter 8. Second-Harmonic Generation and Parametric Oscillation
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1 Chapr 8 Sco-Haroc Grao a ararc Oscao 8 Irouco Sco-Haroc grao : ararc Oscao : Rfrc : RW Boy Noar Opcs Chapr Th oar Opca Suscpby Noar Opcs ab Hayag Uv
2 Th Noar Opca Suscpby Gra for of uc poarao : whr : ar suscpby : orr oar suscpby : r orr oar suscpby : orr oar poarao : r orr oar poarao Maw s wav quao : c Sourc r : rvs w wav Noar Opcs ab Hayag Uv
3 Noar Opcs ab Hayag Uv Sco orr oar ffc s us cosr h opca f coss of wo sc frqucy copos ; cc ] [ cc] [ OR DFG SFG SHG SHG : Sco-haroc grao : Su frqucy grao : Dffrc frqucy grao : Opca rcfcao # Typcay o or ha o of hs frqucy copo w b gra has achg!
4 Noar Suscpby a oarao Crosyrc a vrso syrc : V V oa rgy for h crc po ca b scrb as Rsorg forc : V V F quao of oo : B 4 4 B B / Dapg forc Rsorg forc Couob forc Noar Opcs ab Hayag Uv
5 urubao paso ho : ssu cc ach r proporoa o shou sasfy h quao sparay / B : Dap oscaor Sco orr oar ffc crosyrc a ca o occur! Noar Opcs ab Hayag Uv
6 Nocrosyrc a vrso a-syrc : V V oa rgy for h crc po ca b scrb as Rsorg forc : V V F quao of oo : D D D / Dapg forc Rsorg forc Couob forc Noar Opcs ab Hayag Uv
7 Sary ssu cc ach r proporoa o shou sasfy h quao sparay / D[ DB ] Souo : c c : Rpor Noar Opcs ab Hayag Uv
8 Noar Opcs ab Hayag Uv ap Souo for SHG / D u gra souo as / D : Rpor Sary / D / D / D / / D D
9 Noar Opcs ab Hayag Uv Suscpby N oarao : / N : ar suscpby ] [ / N D a N : SHG / D N N D / D N : SFG : DFG : OR N D / D N N D
10 <Mr s ru> - prca ru 964 D N s ary cosa for a ocrosyrc crysas # N ~ c - for a cos ar # ar a oar corbuo o h rsorg forc wou b coparab wh h spac s approay qua o h s of h ao ~orr of ac cosa : =D D=w / : roughy h sa for a ocrosyrc sos 4 4 o-rsoa cas : us rough sao of oar coffc N/ D / N / D / / / 6 8 su : goo agr wh h asur vaus Noar Opcs ab Hayag Uv
11 Quaav ursag of Sco orr oar ffc a ocrosyrc a Noar Opcs ab Hayag Uv
12 copo Noar Opcs ab Hayag Uv
13 Noar Opcs ab Hayag Uv Gra prsso of oar poarao a Noar suscpby sor Gra prsso of orr oar poarao : r whr orr oar suscpby sor # Fu ar for of : SHG : SHG : SFG : SFG
14 Noar Opcs ab Hayag Uv ap SHG y ap SFG y
15 Noar Opcs ab Hayag Uv roprs of h oar suscpby sor Ray of h fs r r ar ra asurab quas : Irsc pruao syry
16 Noar Opcs ab Hayag Uv 4 Ka syry orsoa s frqucy p rsc Fu pruao syry ossss a : s ra : Ics ca b fry pru!
17 Df orr oar sor ## If h Ka s syry coo s va h as wo cs ca b spf o o as foows ; : : a ca b rprs as h 6 ar ; : 8 s Noar Opcs ab Hayag Uv
18 ga by Ka syry Ics ca b fry pru has oy p s : : Rpor Noar Opcs ab Hayag Uv
19 Noar Opcs ab Hayag Uv ap SHG y y y y ap SFG y y y y y y y : Rpor
20 Noar Opcs ab Hayag Uv 8 Foras of Wav ropagao Noar Ma Maw quao h h σ oarao : N ssu h oar poarao s para o h crc f h N r Toa crc f propagag aog h -rco : ] [ ] [ ] [ c c c c c c whr a
21 Noar Opcs ab Hayag Uv r [ c c c c c c sow varyg approao T
22 Noar Opcs ab Hayag Uv Sary
23 Noar Opcs ab Hayag Uv 8 Opca Sco-Haroc Grao Ngcg h absorpo ; ] [ whr ssu h po of h pu wav powr u o h covrso s ggb ] [
24 Oupu sy of haroc wav : I Covrso ffccy : SHG / s / / has-achg SHG Mau ; s / If I / : crass wh 4 s / / : phas-achg coo Cohrc gh : asur of h au crysa gh ha s usfu proucg h SHG c sparao bw h a pa a h frs ro of sc fuco Noar Opcs ab Hayag Uv
25 Tchqu for phas-achg asoropc crysa / c So ap has achg a gav uaa crysa cos s Noar Opcs ab Hayag Uv
26 Noar Opcs ab Hayag Uv # If hr ss a ag a whch so f h fuaa ba s auch aog as a orary ray h SH ba w b gra aog h sa rco as a raorary ray s cos s ap p 89 pra vrfcao of phas-achg ] [ / c s c Tayor srs paso ar : Rpor ] [ ] [ s
27 Noar Opcs ab Hayag Uv
28 Noar Opcs ab Hayag Uv Sco-Haroc Grao wh Focus Gaussa Bas If >> h sy of h c ba s ary p of wh h crysa 4 / / s r r Toa powr of fuaa ba wh Gaussa ba prof : / r r 4 cross sco y
29 So Covrso ffccy : / w s / / : ca o 8-5 for h pa wav cas ca b cras by crasg w u bcos coparab o # I s rasoab o focus h ba u = cofoca focusg w / cofocafocusg c / s / / ap p 9 Noar Opcs ab Hayag Uv
30 Sco-Haroc Grao wh a Dp Ipu Cosrg po of pup f cosa Df 8- whr SHG : s cosr a raspar u : a prfc phas-achg cas : Noar Opcs ab Hayag Uv
31 s ra [ s ra] Df : Toa rgy cosrvao Ia coo : ah[ ] ' # : % covrso [N phoos N phoos] Noar Opcs ab Hayag Uv
32 Covrso ffccy : SHG ah [ ] Noar Opcs ab Hayag Uv
33 84 Sco-Haroc grao Is h asr Rsoaor # Sco-haroc powr up ba powr # asr racavy powr : ra~ ou/ R ffc SHG SH oupu powr : g op I s Noar Opcs ab Hayag Uv
34 85 hoo Mo of SHG hao of wo hoos a a a suaous crao of a phoo a - rgy : = - Mou : Noar Opcs ab Hayag Uv
35 86 ararc pfcao : # Spca cas : = gra pararc apfcao aogous Syss : - Cassca oscaors - arasc rsoacs pp orgas88 Raygh : - RC crcus v v s p v ap RC crcu C C o C C s p Noar Opcs ab Hayag Uv
36 ssug v CC v C C C u v a cos[ ] s p v [ ] whr C C C RC Say-sa souo : so p or ha p has achg Thrsho coo crcu spoaou sy oscas a a frqucy p/ gra pararc oscao Noar Opcs ab Hayag Uv
37 Opca pararc pfcao oarao of orr oar crysa : p ε ε C s s ε p ε s p s ε C ε s s s p Noar Opcs ab Hayag Uv
38 8- whr εo Wh phas-achg a aso po of f u o ossss h covrso s ggb g g whr Noar Opcs ab Hayag Uv ε g εo
39 Souo : g cosh sh g cosh sh g g Quaav ursag of pararc oscao : # Iay or s gra by wo phoo spoaous fuorscc or by cavy rsoac # or wav crass by ffrc frqucy grao bw a or # or wav aso crass by ffrc frqucy grao bw a or # or wav : Sga [=] # or wav : Ir [>] Noar Opcs ab Hayag Uv
40 Ia coo : g cosh g sh hoo fu : N N N g cosh g sh g g 4 4 g g Noar Opcs ab Hayag Uv
41 Noar Opcs ab Hayag Uv 87 has-machg ararc pfcao ossss g g s s ] / [ ] / [ u b g s s s s s ] / [ ] / [ ] / [ ] / [
42 Noar Opcs ab Hayag Uv : g g Gra souo : sh sh cosh sh sh cosh / / b b g b b b b b g b b b possb s a r sga h of growh o susa g # Uss of fuco s coffc # Ga b
43 Noar Opcs ab Hayag Uv has-machg ap has-achg by usg a gav uaa crysa / s cos c : Rpor
44 88 ararc Oscao o po bu oss g g 88- whr g Noar Opcs ab Hayag Uv
45 v hough q 88- scrb ravg-wav pararc raco s s va f w Th of propagao s a cavy as a fo opca pah If h pararc ga s qua o h cavy oss hrsho ga So g g Coo for orva souo : g g absorpo crysa rfcos o h rfacs cavy ossrrors ffraco scarg g : Thrsho coo for pararc oscao Noar Opcs ab Hayag Uv
46 Noar Opcs ab Hayag Uv If w choos o prss h o osss a a by h quay facors rspcvy Dcay phoo f of a cavy o : Q c Q c 47-5 Tpora cay ra : c g g a Q Q Thrsho pup sy : up sy : Thrsho pup sy : Q Q h
47 ap bsorpo oss = Q c R : gv by oy h cavy rror s rfcvy / R R ap p Noar Opcs ab Hayag Uv
48 89 Frqucy Tug ararc Oscao has-machg coo : c If h phas achg coo s sasf a h ag = # cosa w hav Noar Opcs ab Hayag Uv
49 Noar Opcs ab Hayag Uv Ngcg h sco orr rs s a f frqucy a f w us a raorary ray for h pup If w us orary rays for h sga a r ] / / [ / ararc oscao frqucy wh h ag :
50 Noar Opcs ab Hayag Uv ap Frqucy ug by usg a gav uaa crysa s s
51 8 Frqucy Up-Covrso : Su Frqucy Grao has-achg coo : cosa g g Souo : g cos g cos g s g s whr g Noar Opcs ab Hayag Uv
52 Noar Opcs ab Hayag Uv g g s cos hrfor owr : g g s cos # Oscag fuco wh cf : pararc oscao
53 Noar Opcs ab Hayag Uv Covrso ffccy : g s 4 g Typcay covrso ffccy s sa g / ap p 8
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