Optical spectral analysis with micro particle array

这个项目的目的是开发一种新的方法，在球形微粒的帮助下进行光的光学分析。由于它们的高度对称性，这些粒子表现出非常好的共振行为。对应的共振谱是每个微谐振器的特征。被分析的未知光源的光被用来激发不同大小的球形粒子阵列。谱可以用粒子的强度分布及其共振谱来近似表示。这种计算可以追溯到一个线性方程组。这一数学问题的解决在确定未知光谱方面起着核心作用，因此是整个项目的重要组成部分。光谱重建的质量取决于多种参数，如粒子的数量、大小和大小分布。此外，光源的种类也起着重要的作用。窄带宽激光器对微粒阵列的要求不同于宽带光源。该方法的性能将首先在窄带宽激光二极管上进行测试。在初步工作的基础上，可以预期在亚皮米范围内的光谱分辨率。宽带光源的适用性可以通过适当的发光二极管来显示。起初，似乎未知光谱的确定仅限于校准范围。该项目的目的之一是在波光模拟的帮助下，研究在校准范围之外外推的可能性，如果适用，将对其进行验证。

The aim of this project is the development of a new method for the optical analysis of light with the help of spherical microparticles. Due to their high degree of symmetry, such particles show a very good resonance behavior. The corresponding resonance spectra are characteristic for each single micro-resonator. Light of an unknown source to be analyzed is used to excite an array of spherical particles with different sizes. The spectrum can be approximated with the intensity distribution over the particles together with their resonance spectra. The evaluation can be traced back to a linear system of equations. The solution of this mathematical problem plays a central role by the determination of the unknown spectrum and is therefore an important part within the whole project. The quality of the spectral reconstruction depends on a variety of parameters, e.g. the number of particles, size and size distribution. Also, the kind of light source plays an important role. The requirements on the microparticle array for a narrow bandwidth laser differ from those of a broadband light source. The performance of the method will be tested first on a narrow bandwidth laser diode. Based on preliminary works, spectral resolutions in the sub-picometer range can be expected. The applicability for broadband sources can be shown by appropriate light emitting diodes.At first, it seems that the determination of an unknown spectrum is limited to the range of calibration. One aim of this project is to investigate the possibility of an extrapolation outside the range of calibration with help of wave-optical simulations, which will be verified if applicable.