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arXiv 0710.3140gr-qc
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数值波动光学与球状星团对引力波的透镜效应

Numerical wave optics and the lensing of gravitational waves by globular clusters

Andrew J. Moylan, David E. McClelland, Susan M. Scott, Antony C. Searle, G. V. Bicknell

备注：
To appear in: Proceedings of the Eleventh Marcel Grossmann Meeting
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摘要：

本文研究了球状星团引力透镜效应对银河系非对称中子星产生的引力波的影响。在引力波的透镜效应中，与通常的光学透镜效应相比，较长的波长会导致几何光学近似失效，这时就需要波动光学解。一般情况下，波动光学解只能用数值方法求得。我们描述了一种特别适合于数值波动光学的计算方法。这种方法使我们能够比较球状星团的几种透镜模型的性质，而不需要使用几何光学近似，尽管这种近似有时是有效的。最后，我们估计的概率，球状星团的透镜将显着影响检测，地面激光干涉仪探测器，如LIGO，引力波从一个不对称的中子星在我们的星系，发现概率是微不足道的小。

英文摘要：

We consider the possible effects of gravitational lensing by globular clusters on gravitational waves from asymmetric neutron stars in our galaxy. In the lensing of gravitational waves, the long wavelength, compared with the usual case of optical lensing, can lead to the geometrical optics approximation being invalid, in which case a wave optical solution is necessary. In general, wave optical solutions can only be obtained numerically. We describe a computational method that is particularly well suited to numerical wave optics. This method enables us to compare the properties of several lens models for globular clusters without ever calling upon the geometrical optics approximation, though that approximation would sometimes have been valid. Finally, we estimate the probability that lensing by a globular cluster will significantly affect the detection, by ground-based laser interferometer detectors such as LIGO, of gravitational waves from an asymmetric neutron star in our galaxy, finding that the probability is insignificantly small.

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