The general concept of Fano resonance is considered so as to show the possibility of this resonance in space. Using a recently found solution for a Bessel wave beam impinging on a dielectric sphere, we analyze the electromagnetic fields near a microsphere with different optical sizes and permittivity values. We theoretically reveal spatial Fano resonance when a resonant mode of the sphere interferes with an amount of non-resonant modes. This resonance results in a giant jump of the electric field behind the sphere impinged on by the first-order Bessel beam. The local minimum of the electromagnetic field turns out to be noticeably distanced from the rear edge of the microsphere. However, this is a near-field effect, and we prove it. We also show that this effect can be utilized for engineering a submicrometer optical trap with unusual and useful properties.

中文翻译：

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贝塞尔梁撞击介电微球的空间 Fano 共振

考虑了法诺共振的一般概念，以表明这种共振在空间中的可能性。使用最近发现的贝塞尔波束撞击介电球的解决方案，我们分析了具有不同光学尺寸和介电常数值的微球附近的电磁场。当球体的共振模式干扰一定数量的非共振模式时，我们从理论上揭示了空间法诺共振。这种共振导致由一阶贝塞尔光束撞击的球体后面的电场发生巨大跳跃。结果表明，电磁场的局部最小值明显远离微球体的后边缘。然而，这是一种近场效应，我们证明了这一点。