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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Biot–Tolstoy–Medwin diffraction model ： ウィキペディア英語版 Biot–Tolstoy–Medwin diffraction model In applied mathematics, the Biot–Tolstoy–Medwin (BTM) diffraction model describes edge diffraction. Unlike the uniform theory of diffraction (UTD), BTM does not make the high frequency assumption (in which edge lengths and distances from source and receiver are much larger than the wavelength). BTM sees use in acoustic simulations.〔Calamia 2007, p. 182.〕 == Impulse response == The impulse response according to BTM is given as follows:〔Calamia 2007, p. 183.〕 The general expression for sound pressure is given by the convolution integral : $$ p(t) = \int_0^\infty h(\tau) q (t - \tau) \, d \tau where $q(t)$ represents the source signal, and $h(t)$ represents the impulse response at the receiver position. The BTM gives the latter in terms of * the source position in cylindrical coordinates $(\; r\_S,\; \backslash theta\_S,\; z\_S\; )$ where the $z$-axis is considered to lie on the edge and $\backslash theta$ is measured from one of the faces of the wedge. * the receiver position $(\; r\_R,\; \backslash theta\_R,\; z\_R\; )$ * the (outer) wedge angle $\backslash theta\_W$ and from this the wedge index $\backslash nu\; =\; \backslash pi\; /\; \backslash theta\_W$ * the speed of sound $c$ as an integral over edge positions $z$ : $$ h(\tau) = -\frac \sum_ \int_^ \delta\left(\tau - \frac\right) \frac \, dz where the summation is over the four possible choices of the two signs, $m$ and $l$ are the distances from the point $z$ to the source and receiver respectively, and $\backslash delta$ is the Dirac delta function. : $$ \beta_i = \frac where : $$ \eta = \cosh^ \frac 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Biot–Tolstoy–Medwin diffraction model」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.