We report the existence of persistently rotating azimuthons in media with self-focusing Kerr and absorption nonlinearities. The nonlinear loss is balanced by power influx from the peripheral reservoir stored in a slowly decaying tail of the field. The azimuthon modes are excited by a superposition of two Bessel beams with opposite vorticities, $\pm s$, and slightly different conicities. The excited mode exhibits vorticity in its center opposite to that of the input Bessel-beam superposition, due to spontaneous inversion of the topological charge in the course of the azimuthon formation. Unlike azimuthons in loss-free media, number $N$ of rotating intensity maxima and $s$ are not mutually independent, being related by $N=2s$. The robustness of the rotating azimuthons is enhanced in comparison to similar static dissipative patterns. They can be excited in almost any transparent material, in the range of intensities for which the nonlinear absorption, induced by multiphoton absorption, is relevant. Close to the ionization threshold, the rotating azimuthons are similar to recently observed helical filaments of light in air and ${\mathrm{CS}}_2$.

中文翻译：

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贝塞尔光束叠加激发的耗散Kerr介质中的旋转方位角

我们报道了自聚焦Kerr和吸收非线性的介质中持续旋转方位角的存在。非线性损失通过来自外围油藏的能量涌入来平衡，该能量储存在磁场的缓慢衰减的尾部中。方位模态由两个具有相反涡度的贝塞尔光束叠加而成，$\pm s$，并且圆锥形略有不同。由于在方位角形成过程中拓扑电荷的自发反转，激发模式在与输入贝塞尔光束叠加的中心相反的位置显示出涡度。与无损媒体中的方位角不同，数字$ñ$ 旋转强度最大值和 $s$ 不相互独立，由 $ñ=2s$。与类似的静态耗散模式相比，旋转方位角的鲁棒性得到了增强。它们几乎可以在任何透明材料中激发，其强度范围与多光子吸收引起的非线性吸收有关。接近电离阈值时，旋转的方位角类似于最近在空气和空气中观察到的螺旋状灯丝${\mathrm{CS}}_2$。