Chapter6Ultrasoundandinfrasound
Batsounds
Mabookswilltellyouthatyouhearfrom20Hzto20kHz。Dohem:ifyouareovertwenty,youareprobablydeaftosoundsabove17kHz。Thehigh-frequencylimitdeessosignifidsopredictablywithagethataygeher-frequendcalledtheMosquitohasbeeeshopkeeperssince2009,asonlyteenageears(andthoseofaillcapableofdetegtheannoyihedeviceproduces。However,itisprobablyfairtosaythatwewhoabout17kHzarenotihefagthatitisoflittleevolutiohherouldhavedevelopedmorersystems。
&heless,wearemissingout—heultrasonidsespeciallyrie,butbecauseloitsomehandyphysicalpropertiesofsoundsthatarehosefrequewehear。Thebat,however,isnotsohandicapped。
&iwithloyultrasoundisastounding。Inpitess,aianfruitbat(Rousettusaegyptiacus)withan80gspaneasilyffybetweeicalrodsjust53cmapartwithouttougthem。Toachievesuchfeats,andtohunt,batsuseecholoeratingultrasoundsandtimiiltheyheartheechoes—whiofthedistanearbyobjects。
Sightlesshumansapproximatethis,judgingdistaowallsfromechodelays,butwhattheyendupwithisnotavisionoftheworld。Itotbe,atthewavelengthstheyhear:imagiandinginacalmlake。Alightbreezeblripplesaboutatimetreih,whiceoflthejetty’snsincircularpatterer,agalesetsin,makingmugerwaves,whichrollpastthensasifthey’renotthere。Forwavesofsound,thesameprincipleapplies:theyareoedby(andhenlydetect)obstacleslargerthantheyare。
So,ifabattriedtoeothusingao’ssay,whichhasawavelengthof132cm—itwouldohemothwerewelloverametreacross。Todetecta1cmmoth,souleast33kHzarerequired。Infact,batstypicallyprodudsof80kHz(smallerspeciesproducehigherfrequehefullra40kHzto120kHz)。Suchhighfrequehemtodealnotonlywithisolatedobjects,butwithplicatedthree-dimensionaldistributionsoftwigs,leaves,as,maivemotioher—andalliothebat。
Butitwoulddothebatnogoodtogeinuousultrasoheresultwouldbeabewilderingmontage,interferingepossibletodecode。Whatbatsneedarepulsesofsound,abebrief:iftwomothsareatimetreapart,then,toproduceseparateechoes,asouhavepassedbeyondtheebefthesedhebelessthareih,andthereforelessthan30midsinduration。
21。 Ripplesvs>
Itisimpossibleforbatormaetoproduceashort-duratiohasih,uwavelengthismuchshorterthaself。IsproduceverysharpclikstoFourieranalysis,weknowthatsuchaclickisequivalenttoamixtureofwavesofdiflerentfrequencies(Figure12),andthesharpertheclick(thatis,thequickeritrisesfromsileomaximum),thewidertherangeoffrequenciesprodudthusthemoreaccuratelydistanbejudged。
Soistheidealsoundforabata-durationotreally:ashortsalyone,whiottravelfarwithoutfading。Humahisproblemthemselvesindesigningradarandsonarsystems,ain1960withtheiionoffrequehisutilizesarelativelylongpulseofgraduallyingfrequency。Thefairlylongdurationallowsplentyyandhehegfrequeeobjectsatdiflerentdistaihediflereheirfrequencies。
&susethisfrequeeique,thepulseslastabout2to3milliseds,duringwhichthefrequencyfalls(ratherthanrisingasinthehumanversion)byaboutahemoresuchpulsesabatmakes,themoreinformationitredsoitmodifiesitsclickratedependingonthegesitfaaroundtenpulsesasegtoashighasonehundredinahalf-sedperiod,whenthesurroundingsbeplicatedorrey。
AsdisChapter2,iftheobjewhidechoesisinmotioothesouhefrequencyofthatsouedbytheDopplerefleanandbatsonarsystemsexploitthistodetermiiesofsuchobjects,withthedistinthat,whileoursystemsmeasurethefrequency,batsmodifythefrequeheiroutputpulsesuheyheararethesameastheywouldbe,werethetargetstationary(so,forexample,ifabatisapproaobject,thefrequencyoftheethatobjectrise,sothebatreducesthefrequencyofitsoutputbyanamountthatbringsthefrequencyoftheechoesbaatchthebat’sinalfrequency)。
Adifferentkindofsound
Box9
Diffraofshanopening:(plane)angleofspread,θ,isgivenbysin(θ2)=λd;diameteroftheopenihλ。
Anotherphysicaldiflererasoundandtheaudibleraultrasoundreadilyformsbeams,whichisofsiderableadvas。An80kHztonepassingthrougha1gwillformaicalbeamwhichspreadstoabout90cmwideata1-metredistance(Box9)。Inbatspecieswhichprojecttheirultrashtheirnostrils,interfereweewosourthatthebeamsareher。Notohistratetheaergy,soallowiaobeprobed,italsoreduumberside-echoes。A2015studyofbatsapprpoolsshowedthatthebatsopehswiderwhentheywereclosetotheresumablyforthislatterreason。
&ionodoubthavefurswithgeorsahatworkatevenhigherfrequeheabsorptionofsudsbytheairisaninsuperablebarrier。Experimentallyithasbeehat,atthesortofsbatslovebest(25°C,50pertrelativehumidity),100kHzsoundsareabsorbedby3dBpermetre:thatis,theyfalltoabouthalfiyoverthatdistanversely,30kHzsoundsareabsorbedorateof0。7dBpermetre,whistheiriyfallsbyabout15pert。(Theincreaseofsoundabsorptionwithfrequencyisthemainreasonwhythundersoundslessdmasdistancreases。)
Box10
Whydoesthishappen?Airisolecules,allrandaroundataraiesalyboungofleachother。Onahotday,thesevelofact,temperatureisjustameasureofthevelocityroupofmolecules(Box10)。Asoundwaveisasequeernatinghighandlthroughtheair,soataiohesound,theairmoleculeswillfirstbunchupclosetogetherandthe,beforebungtain。Whenmolech,theyslowdolehurryingthroughacrowdedstationdiflereionsgoslowerthemoreofthemthereare。Whenthishappens,theehemolegesform:althoughtheymovearoundmoreslowly(theirkiiergyfalls,inotherwords),theyspichmore(so,theirinternalenergyincreases)。
Ananalogymightbetopairsofcricketballslirongsteelsprings—afairlyaccuratemodelofadiatomiolecule,likethemoleitrogen(N2)andoxygen(O2)whiakeup99perosphere。Assoonasthepressionalpartofthesoundassedandthemoleculesmain,theyspichless,andmovearoundfasteroncemore。Playmiddledthesoundroducedforergytoswitdforthbetweeiternalforms262timesased。
But,ifthefrequencyissuffltlyhigh,thetimeavailablebeessoshortthatamolepletetheytokiiergyquioughbeforeitistimetoreversetheprocess。Asaresult,thevelocityofsoundfallsandthesoundwavediesaidly。Theactualfrequencyofthesouwhichthesegesbegihemedium,beingfarhigherinsolidsandliquidsthaherpropertiesofthemedium,especiallyviscosity,alsotributetothiseflect。
Thisphenomenonisveryusefultous:astheultrasoundwavefades,itsehroughthemedium,heatingitup。Thisheatihasmanyapplis,ingtheinternalwarmingofbodytissuestoimprovebloodffowedmusdjoints。
&rasound
Ultrasoundhasmanyothermedicalusestoo,bothintheareasofsg(almosteveryohedevelopedworldisnowsedbeforebirth)a(liketheremovalofdentaltartar,where25kHzsoundisusedinwithawaterjet)。Uhermedicaltreatments,ultrasoudoflinstantly,oftenrequireslow-ology,andusuallyinvolvesminimalpatieiohatultrasouorsarerelativelyportablealeameansthattheybeusedoutsidethehospitale,fromdiathermy(deep-tissueheating)unitsfoundinmanygymstowouionsystems,deployedoosavethelivesofsoldierswhowouldotherwiseperishfrombloodloss。