An acoustic space-time and the Lorentz transformation in aeroacoustics

被引：24
|
作者：
Gregory, Alastair L. [1 ,3 ]
Sinayoko, Samuel [2 ]
Agarwal, Anurag [1 ]
Lasenby, Joan [1 ]
机构：
[1] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England
[3] Univ Cambridge, Magdalene Coll, Cambridge CB3 0AG, England
来源：
INTERNATIONAL JOURNAL OF AEROACOUSTICS | 2015年 / 14卷 / 07期
关键词：
MATHEMATICAL LANGUAGE; SOUND RADIATION; MODEL; PROPELLER;
D O I：
10.1260/1475-472X.14.7.977
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics, We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation of the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow.
引用
收藏
页码：977 / 1003
页数：27
相关论文
共 50 条
  • [41] SPACE-TIME PROCESSING, ENVIRONMENTAL ACOUSTIC EFFECTS
    CAREY, WM
    MOSELEY, WB
    IEEE JOURNAL OF OCEANIC ENGINEERING, 1991, 16 (03) : 285 - 301
  • [42] Space-time acoustic holography of moving inhomogeneities
    Matveev, A.L.
    Mityugov, V.V.
    Potapov, A.I.
    Akusticheskij Zhurnal, 2002, 47 (02): : 246 - 253
  • [43] SPACE-TIME LIMITS IN ACOUSTIC SIGNAL PROCESSING
    STOCKLIN, PL
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1961, 33 (11): : 1680 - &
  • [44] Space-time acoustic holography of moving inhomogeneities
    Matveev, AL
    Mityugov, VV
    Potapov, AI
    ACOUSTICAL PHYSICS, 2001, 47 (02) : 202 - 207
  • [45] Space-time acoustic holography of moving inhomogeneities
    A. L. Matveev
    V. V. Mityugov
    A. I. Potapov
    Acoustical Physics, 2001, 47 : 202 - 207
  • [46] An acoustic metamaterial with space-time modulated densitya)
    Zhu, Xiaohui
    Shen, Chen
    Journal of the Acoustical Society of America, 1600, 156 (06): : 3984 - 3991
  • [47] Ultrafast Transformation of a Space-Time Signal into an Image
    Mazurenko, Yu.T.
    Putilin, S.E.
    Belyaev, A.G.
    Spiro, A.G.
    Fainman, Y.
    Optics and Spectroscopy (English translation of Optika i Spektroskopiya), 1999, 87 (01): : 81 - 85
  • [48] Ultrafast transformation of a space-time signal into an image
    Mazurenko, YY
    Putilin, SE
    Belyaev, AG
    Spiro, AG
    Fainman, Y
    OPTICS AND SPECTROSCOPY, 1999, 87 (01) : 81 - 85
  • [49] FEYNMAN PROPAGATOR AND SPACE-TIME TRANSFORMATION TECHNIQUE
    NASSAR, AB
    PHYSICA A, 1987, 141 (01): : 24 - 32
  • [50] CHRONOMETERS, LIGHT AND THE TRANSFORMATION OF SPACE-TIME COORDINATES
    GOMEZ, JK
    REVISTA MEXICANA DE FISICA, 1992, 38 (06) : 951 - 967
12345