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初始声能分布对具有扩散反射边界房间中声场松弛影响.doc

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初始声能分布对具有扩散反射边界的房间中声场松弛的影响初始声能分布对具有扩散反射边界的房间中声场松弛的影响第35卷增刊2007年l0月华南理工大学(自然科学版)JournalofSouthChinaUniversityofTechnology(NaturalScienceEdition):1000—565X(2007)S-0036——xian(.,ZhejiangUniv.,Hangzhou310058,Zhejiang,China;,.,Guangzhou510640,Guangdong,China)Abstract:Foransweringthequestionthatwhethertherelaxationmodeofsoundfieldinagivenroomwithdiffusel:,,reflectingboundariesisunique,inthispaper,,,thenon—uniquerelaxation,:initialenergydistribution;soundfieldrelaxation;radiosity;umber:TU1J2Documentcode:A0IntroductionInroomacoustics,theimportanceofdiflusereflectionofhighfrequencysoundonboundarieshaslongbeenempha—sized….SinceKuttruffandsomeotherauthorsdevelopedbonndaryintegralequationstodescribethesoundenergytransferprocessinaroomof(ideally)diffuselyreflectingboundaries(RDRB)[2-3},eaveryimportanttypicalmodelinroomacoustics,SoundfieldpropertiesindifferentRDRBs,in—cludingsphericalvolumes,longandrectangularstreetspaces,andete,havecausedmuchinterestandinspiredmanystu—dies[3..Radiositymethod,acomputer/numericalsoundfieldsimulationalgorithmadoptingassumptionsofgeometricalacous—ticsandreflectionboundaries,alsohasattractedmuchattentionrecentlv[,MilesmadeaveryimportantobservationthatinaRDRB,soundenergydecayoneverypointofroomboundaries,'aftersoundsourcesintheroomstop,willgraduallyapproachanexpo—nentialmannerwithauniformdecayrateZacrossallthebounda—ries,andtherateisinvariableforagivenroomwithwhateverinitialenergydistributiononthebou

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