When a small particle is located near an interface, its electric dipole moment can be induced by laser irradiation. Since the laser light reflects at the interface, this leads to an interference pattern, and the dipole moment is determined by this total field. In addition, the dipole radiation emitted by the particle reflects at the interface, and this field adds to the external field. In this fashion, the dipole moment is altered by the field it emits, and as such the emitted radiation modifies its own source. We have derived a simple expression to take this back action into account. We introduce two resolvent functions, ${\Upsilon _{\|}}(h)$ and ${\Upsilon _ \bot}(h)$, which depend on the dimensionless distance $ h $ between the particle and the interface. These functions exhibit resonance features due to the underlying back-action mechanism. It is shown that two, one, or no resonance peaks appear in the induced dipole moment. Whether these peaks are present depends on the parameters under consideration. The power emitted by the particle depends on $ h $ due to interference between the source radiation and the reflected radiation. With the surface induced contribution to the dipole moment included, an additional $ h $ dependence appears. This dependence shows the resonance peaks, which may be amenable to experimental observation.

中文翻译：

---

表面对界面附近的电偶极矩的贡献及其对功率发射的影响

当小颗粒位于界面附近时，其电偶极矩可以通过激光辐照产生。由于激光在界面处反射，因此会导致干涉图样，并且偶极矩由该总场决定。另外，粒子发射的偶极辐射在界面处反射，并且该场增加了外场。以这种方式，偶极矩被它所发射的场所改变，因此所发射的辐射改变了它自己的源。我们已经导出了一个简单的表达式，以考虑到此后退操作。我们介绍两个解析函数，$ {\ Upsilon _ {\ |}}（h）$和$ {\ Upsilon _ \ bot}（h）$，这取决于无量纲距离$ h $在粒子和界面之间。由于潜在的后向作用机理，这些功能表现出共振特征。结果表明，在感应偶极矩中出现两个，一个或没有共振峰。这些峰是否存在取决于所考虑的参数。由于源辐射和反射辐射之间的干扰，粒子发射的功率取决于h h $。包括表面感应对偶极矩的贡献，会出现额外的$ h $依赖性。这种依赖性显示出共振峰，这可能适合于实验观察。