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

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