论文标题
一个新的基本不对称波方程及其在声波传播中的应用
A New Fundamental Asymmetric Wave Equation and its Application to Acoustic Wave Propagation
论文作者
论文摘要
扩展的伽利略群的不可约表示来推导对称和不对称波方程。结果表明，在这些方程中，只有一个新的不对称波方程是基本的。通过基本，方程式在说明多普勒效应，向后和向后波的情况下，最完整地描述了传播波，使波速在所有惯性框架中都相同。为了证明这些特性，将方程式应用于等温大气中的声波传播，并确定羔羊的截止频率。
The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental the equation gives the most complete description of propagating waves as it accounts for the Doppler effect, forward and backward waves, and makes the wave speed to be the same in all inertial frames. To demonstrate these properties, the equation is applied to acoustic waves propagation in an isothermal atmosphere, and to determine Lamb's cutoff frequency.
