标题： 色散介质中霍金辐射计算的积分方法 I. 对称渐近性 显示英文标题

标题： Integral method for the calculation of Hawking radiation in dispersive media I. Symmetric asymptotics

摘要： 霍金辐射由于许多类比系统能够模拟事件视界对波传播的影响，现在已经可以进行实验测试。 这些系统通常由色散主导，并且只有当静止参考系中的色散关系$\Omega^{2}(k)$是相对低次的多项式时，才会产生数值可解且稳定的常微分方程。 在这里，我们提出一种新的方法，用于计算任意色散的一维介质中的波散射。 它将波动方程视为傅里叶空间中的积分方程，可以使用标准且高效的数值技术进行求解。 显示英文摘要

摘要： Hawking radiation has become experimentally testable thanks to the many analogue systems which mimic the effects of the event horizon on wave propagation. These systems are typically dominated by dispersion, and give rise to a numerically soluble and stable ODE only if the rest-frame dispersion relation $\Omega^{2}(k)$ is a polynomial of relatively low degree. Here we present a new method for the calculation of wave scattering in a one-dimensional medium of arbitrary dispersion. It views the wave equation as an integral equation in Fourier space, which can be solved using standard and efficient numerical techniques.