论文标题
不同方法的收敛性和效率计算重力波的重力镜头的衍射积分
Convergence and Efficiency of Different Methods to Compute the Diffraction Integral for Gravitational Lensing of Gravitational Waves
论文作者
论文摘要
在研究引力波（GWS）的透镜波形时，可能需要考虑波光学。但是，波光学中衍射积分（扩增因子）的计算是具有挑战性的，而且耗时。开发一种准确有效的方法来计算检测镜头GW系统的扩增因子至关重要。在本文中，我们研究了GWS重力透镜的衍射积分的收敛性，并分析可用于计算此积分的多种数值方法的准确性和效率，包括积分均值，包括渐近扩展方法，Levin方法，levin的方法，零点积分方法。衍射积分，它提供了一种有效而准确的方法来计算GWS的透镜波形。
Wave optics may need to be considered when studying the lensed waveforms of gravitational waves (GWs). However, the computation of the diffraction integral (amplification factor) in wave optics is challenging and time-consuming. It is vital to develop an accurate and efficient method to calculate the amplification factor for detecting lensed GW systems. In this paper, we investigate the convergence of the diffraction integral for gravitational lensing of GWs and analyze the accuracy and efficiency of a number of numerical methods that can be used to calculate this integral, including the integral mean method, asymptotic expansion method, Levin's method, zero points integral method, etc. We further introduce a new method by combining the zero points integral and the asymptotic expansion methods to calculate the diffraction integral, which provides an efficient and accurate way to calculate the lensed waveform of GWs.
