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Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries

机译:啁啾二进制水引力透镜的波动效应

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In the gravitational lensing of gravitational waves,the wave optics should be used instead of the geometrical optics when the wavelength A of the gravitational waves is longer than the Schwarzschild radius of the lens mass M_L.For the gravitational lensing of the chirp signals from the coalescence of the super massive black holes at the redshift z_S approx 1 relevant to LISA,the wave effects become important for the lens mass smaller than approx 10~8M_(sun).For such cases,we compute how accurately we can extract the lens mass from the lensed signal.We consider two simple lens models:the point mass lens and the SIS(Singular Isothermal Sphere).We find that the lens mass can be determined within approx 0.1% [(S/N)/10~3]~(-1)for the lens mass larger than 10~8M_(sun),where(S/N)is the signal to noise ratio of the unlensed chirp signals.We find that the lensing cross section is an order of magnitude larger than that for the usual strong lensing of light.
机译:在重力透镜的重力透镜中,当引力波的波长A长于镜头质量M_L的SCHWARZSCHILD半径时,应该使用波光光学而不是几何光学器件。对于来自聚结的啁啾信号的重力透镜在与LISA相关的Redshift Z_S的超大黑洞中,波浪效应对于小于约10〜8M_(SUN)的镜头质量变得重要。对于这种情况,我们计算我们可以精确地提取镜片质量镜头信号。我们考虑两个简单的镜头型号:点质量镜头和SIS(奇异的等温球体)。我们发现镜片质量可以在大约0.1%范围内测定[(S / N)/ 10〜3]〜( -1)对于大于10〜8M_(SUN)的镜头质量,其中(S / N)是无典型的啁啾信号的信噪比。我们发现镜头横截面是大于其大小的数量级通常强的光镜头。

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