Supporting Online Materials for

Transcription

1 Suppoing Onlin Mils o Flxibl Schbl nspn Mgn- Cbon Nnoub hin Film Loudspks Lin Xio*, Zhuo Chn*, Chn Fng, Ling Liu, Zi-Qio Bi, Yng Wng, Li Qin, Yuying Zhng, Qunqing Li, Kili Jing**, nd Shoushn Fn** Dpmn o Physics & singhu-foxconn Nnochnology sch Cn, singhu Univsiy, Bijing 8, P.. Chin. Dpmn o Physics, Bijing Noml Univsiy, Bijing 875, P.. Chin *hs uhos conibud qully o his wok. **o whom cospondnc should b ddssd. Emil: JingKL@singhu.du.cn; ss-dmp@singhu.du.cn. his PDF il includs: Figs. S-S Suppoing Onlin x bls: S-S Movis: S-S

2 Suppoing Onlin Mils Suppoing Figus Fig. S. h msud AC impdnc o h CN hin ilm. Blow MHz, h CN hin ilm cn b viwd s pu sisnc. Fig. S. h schmic diving cicuis o h hmocousic CN hin ilm loudspks.

3 Suppoing Onlin x. h divion o h quncy spons o h SACNF loudspk Fig. S3. h undmnl quion o n lning cun AC hd hin ilm my b win: d sin Q cs. d h undmnl quion o h conducion in h suounding gs is:. x in which h pms lisd in h bl S. h soluion o Eq. hs h om o cos 3. hn h soluion o Eq. hs h om o kx x, cos kx. in which k 5. 3

4 h insnnous h low p uni om hin ilm o is suounding is x, Q κ κ k [sin cos ] x x 6. Suppos h soluion o Eq. is cos 7. Accoding o Eqs.,6,7, cos [ c sin s cos ] κk [sin cos ] 8. hn w hv, 9. cos cos κk cs κksin. Fom Eq. w cn g n [ c κk κk] n [ c κc κc ]. s s p p. κk κk cs Equion cn b win s 3. in which,, κ. c s

5 5 Fom Eqs 7, 9, 3, w cn g ] sin [ ~ 3. n sin ~ hus h mpu wv in h suounding gs should b sin, ~ kx x kx 8. Now consid h mn vlu o h mpu is wihin h gion o on wvlngh o h mpu wv k. dx kx kx sin sin 9. h mpu viion nd volum xpnsion should hv h ollowing lion: V V δ δ δ. L δ, hn w hv δ.

6 6 in which, sin δ. 3. k. Fom Eqs. -, w cn g sin sin 5. Subsiuing Eq. 7 ino Eq. 5, nglcing 3.9, w hv sin 6. cos & 7. mx & 8. hn h vlociy ponil o h pssu wv should b cos mx Ψ & 9. hus h pssu wv is sin mx Ψ Π & 3.

7 7 Subsiuing Eq. 8 ino Eq. 3, w hv sin Π 3. h quncy spons o hin ilm spk should b sin Π 3. κ, κ, s c, c s 33. h oo mn squ sound pssu is C P p s inpu ms 3. Whn h inpu pow is no oo lg, <<, hn Eq. 3 cn b win s C P p s inpu ms 35.

8 Suppoing bls bl S Pms usd in hoicl nlysis Symbol Uni Dscipion A Mximum vlu o AC Ω nsnnous sisnc o h hin ilm m A o on sid o h hin ilm Wm K o h loss p uni o h hin ilm du o conducion, convcion nd diion p uni is in mpu o h hin ilm bov h o is suoundings c s Jm K H cpciy p uni o hin ilm K mpu o h hin ilm bov is suoundings K Mximum vlu o K Mn mpu o h hin ilm bov is suoundings K h mpu o mbin gs om h hin ilm Hz Cicul quncy Q x, κ x x Wm nsnnous h low p uni om hin ilm o suounding K mpu o suounding mbin gs kgm 3 Dnsiy o mbin gs c p Jkg K H cpciy p uni mss o mbin gs κ Wm K hml conduciviy o mbin gs κc p m s hml diusiviy o mbin gs 8

9 bl Consns usd in hoicl clculion Symbol Nm Uni Quniy Condiion c s d c p H cpciy p uni Jm K 5x -3 SACNF -ly o hin ilm. P oil o h loss p uni Wm K 8.9 SACNF -ly o h hin ilm du o conducion, convcion 66. SACNF -ly nd diion p uni is in mpu o h hin 5 P oil ilm bov h o is suoundings Dnsiy o gs kgm 3.6x 3 Ai 3K c p H cpciy p uni mss o gs Jkg K.7x 3 Ai 3K κ hml conduciviy o gs Wm K.63x - Ai 3K κc p hml diusiviy o gs m s.5x -5 Ai 3K mpu o suounding gs K 3 oom mpu P Ambin Pssu P.x 5 Amosphic Pssu Disnc bwn spk nd micophon m.5 Fo gul sucs, h ws dmind by h mbin gs, which is ~5 Wm K o convcion o mbin gs s 8 o h pp. Sinc clculion sul is no snsiiv o his vlu, w choos 5 Wm K o clculion. Bu o igul sucs such s h CN hin ilms, his vlu hs o b dmind xpimnlly. H h vlu o w usd o -ly nd -ly CN hin ilms dmind xpimnlly Y. Wng l, o b submid. 9

10 SUPPONG MOVES Movi S: A Quickim movi shows singing CN hin ilm loudspk h is bing piodiclly schd, up o % o is oiginl siz in h dicion ppndicul o h lignd dicion o CNs. h sound innsiy viion is lmos no noicbl duing sching. Movi S: A Quickim movi shows h nspn CN hin ilm loudspk is singing h songs o h movi plyd by h ipod bnh i. h dimnsion o h nspn CN hin ilm loudspk is 7.5 cm by cm. Movi S3: A Quickim movi shows h singl ly o CN hin ilm pu on lg oming lxibl lg loudspk, which cn c s loudspk duing dncing in wind. h dimnsion o h lg CN hin ilm loudspk is 8 cm by.5 cm. Movi S: An AV nimion illusing h pincipl o hmocousic hin ilm loudspk. his nimion is modiid om h longiudinl wv nimion on h wb hp: cousy o D. Dn ussll, King Univsiy.