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ID:38147582
大小:436.75 KB
页数:6页
时间:2019-05-27
《On the Fresnel Approximation》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、1958BurmrurdWilcox:OntheFresnelApproa5mation43latedsectioncontainsotherelectricaldevicessuchasACKNOWLEDGMENTnavigationlightsorhigherfrequencyantennas.TheyTheauthoracknowledgeswithgratitudehisdebttoalsoavoidthenecessityforspeciallightningprotectionDr.J.V.N.Grangerwhoseenduringin
2、terestinaircraftmeasuresrequiredwithcap-typeantennas.Acharacter-antennasystemshasprovidedmuchofthemotivationisticofbothshuntandnotchantennasthatmaybeafortheinvestigationreportedhere,andtoDr.J.T.significantadvantage,althoughitposesspecialprob-Bolljahnformanyhelpfultechnicaldiscu
3、ssions.Heislemsinthedesignofantennacouplerstomatchthem,isalsoindebtedtoA.V.McKenziewhocarriedoutmostthefactthattheirimpedancelevelsarerelativelylow.ofthenumerousmeasurementsandtoDr.JackClineThismeansthatvoltagebreakdownoftheantennasfordiscussionsregardingmultipleturncouplingini
4、snotaseriousproblemevenwithhighradiatedpowers.hotches.OntheFresnelApproximation*R.B.BARRARTANDC.H.WECOX$Summary-ThepurposeofthispaperistoshowthepowerofthecanbereducedtotabulatedFresnelintegrals.Thepur-SommerfeldexpansionincomputingFresnelandnearfieldsofan-poseofthispaperistopoi
5、ntoutthattheSommerfeldtennas,amatterwhichhasbecomeofincreasingimportanceinhighexpansionisapromisingmethodofcomputingtheseresolutionantennas.AconnectionisshownbetweentheFresnelandnearandFresnelfields.FraunhoferapproximationsforradiationfieldswhichisderivedbyusingSommerfeld’sexpa
6、nsionofthefieldininversepowersofradialTHESOMMERFELDEXPANSIONdistance.ThisexpansionpermitsanestimateoftheerrorincurredinusingtheFresnelapproximation.Higher-ordercorrectionstotheAlthoughinsphericalcoordinatesasolutionofthephaseandamplitudeportionoftheFresnelapproximationarealsosc
7、alarwaveequationexhibited.BywayofillustratingthepoweroftheSommerfeldex-pansionofthefieldsintheFresnel(intermediate)regionofaradia-V?U+p1:=0(1)tionsource,numericalcalculationsofamplitude,phase,andpowerpatternshavebeenmadeforahitelinesourceoflengthDwithanisusuallygivenintermsofan
8、infiniteseriesinvolvingequiphasecosine-on-a-pedestalcu
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