Analogue Hawking Radiation in Nonlinear LC Transmission Lines
Analogue Hawking Radiation in Nonlinear LC Transmission Lines
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DOI：
10.3390/universe7090334
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发表时间：
2021-09-01
期刊：
影响因子：
2.9
通讯作者：
Matsuda, Ken-ichi
中科院分区：
文献类型：
--
作者：
Katayama, Haruna;Hatakenaka, Noriyuki;Matsuda, Ken-ichi
模拟系统被用来测试霍金辐射，这在实际的黑洞中很难观察到。输电线路就是这样一个系统，但它面临着不可避免的过热问题，过热会使成功产生的模拟黑洞坍塌。孤子在非线性传输线中传输稳定，没有不必要的能量耗散，为解决这一问题提供了可能。在这项工作中，我们提出了一种非线性LC传输线中的模拟霍金辐射，该传输线包括具有三阶非线性电压的非线性电容器。我们用离散化约摄动方法证明了这条线支持服从非线性薛定谔方程的电压孤子。电压孤子通过克尔效应在空间上改变电磁波的速度，从而产生电磁波速度等于孤子速度的视界。因此，霍金辐射具有孤子特征，这大大有助于将其与其他辐射区分开来。
Analogue systems are used to test Hawking radiation, which is hard to observe in actual black holes. One such system is the electrical transmission line, but it suffers the inevitable issue of excess heat that collapses the successfully generated analogue black holes. Soliton provides a possible solution to this problem due to its stable propagation without unnecessary energy dissipation in nonlinear transmission lines. In this work, we propose analogue Hawking radiation in a nonlinear LC transmission line including nonlinear capacitors with a third-order nonlinearity in voltage. We show that this line supports voltage soliton that obeys the nonlinear Schrodinger equation by using the discrete reductive perturbation method. The voltage soliton spatially modifies the velocity of the electromagnetic wave through the Kerr effect, resulting in an event horizon where the velocity of the electromagnetic wave is equal to the soliton velocity. Therefore, Hawking radiation bears soliton characteristics, which significantly contribute to distinguishing it from other radiation.