论文标题

频率调制梳子作为相孤子

Frequency-modulated combs as phase solitons

论文作者

Burghoff, David

论文摘要

频率梳子是具有连贯均匀分布的线条的光源。已经观察到,在某些激光系统中,可以及时形成其输出频率调节(FM)的梳子。在这种状态下,它们产生了一个输出,其频率在线性和周期性上扫描。这些结果已被数值复制,但是对它们的核心物理学的彻底了解仍然难以捉摸。令人惊讶的是,我们发现这些激光器是通过非线性schrodinger方程来描述的,该方程与电场相成正比。该方程式可以准确地求解,并产生一个场相,其相位是分段二次的二次--- fm梳子。这些结果可用于得出FM梳子的所有显着特征,我们的一般理论适用于任何内部增益大的非线性光学系统。更一般而言,该结果预示着由相位电位而不是振幅电位控制的新的连贯状态的发展。

Frequency combs are light sources with coherent evenly-spaced lines. It has been observed that in certain laser systems, combs can form whose output is frequency-modulated (FM) in time. In this state, they produce an output whose frequency sweeps linearly and periodically. These results have been replicated numerically, but a thorough understanding of their core physics remains elusive. Surprisingly, we have found that these lasers are described by a nonlinear Schrodinger equation whose potential is proportional to the phase of the electric field. This equation can be solved exactly and produces a field whose phase is piecewise quadratic in time---an FM comb. These results can be used to derive all of the salient features of FM combs, and our general theory is applicable to any nonlinear optical system with large internal gain. More generally, this result portends the development of new coherent states of light governed by phase potentials rather than amplitude potentials.

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