Gao Boshen, Shi Zhimin, Boyd Robert W
Opt Express. 2015 Mar 9;23(5):6491-6. doi: 10.1364/OE.23.006491.
We present a systematic design procedure of photonic crystal (PhC) superprism structures for on-chip spectroscopic applications. In specific, we propose a new figure of merit, namely the angular-group-dispersion-bandwidth-product (AGDBP) to quantitatively describe the spectroscopic performance of PhC superprism structures, and an optimum PhC structure for spectroscopic applications should have large angular group dispersion over a large bandwidth, i.e., a flat-top dispersion profile. We demonstrate the advantage of such a new design consideration by optimizing the geometry of a two-dimensional parallelogram-lattice PhC superprism structure. The performance of such a superprism spectrometer is further analyzed numerically using finite-difference time-domain simulations, which out-performs current implementations in terms of the number of achievable output spectral channels.
我们提出了一种用于片上光谱应用的光子晶体（PhC）超棱镜结构的系统设计程序。具体而言，我们提出了一种新的品质因数，即角群色散带宽积（AGDBP），以定量描述PhC超棱镜结构的光谱性能，并且用于光谱应用的最佳PhC结构应在大带宽上具有大的角群色散，即平顶色散分布。我们通过优化二维平行四边形晶格PhC超棱镜结构的几何形状来证明这种新设计考虑的优势。使用时域有限差分模拟对这种超棱镜光谱仪的性能进行了进一步的数值分析，在可实现的输出光谱通道数量方面，其性能优于当前的实现方式。
