The rapid development of photonic integrated circuits demands the design of efficient and compact waveguide devices such as waveguide tapers and crossings. Some components in the silicon nitride (SiN) waveguide platform are superior to their counterparts in the silicon waveguide platform. Designing a compact SiN waveguide taper and crossing is crucial to reduce the size of SiN photonic components. In this paper, we utilize the focusing property of the Luneburg lens to design an SiN taper connecting a 10-mu m-wide waveguide to a 1-mu m-wide waveguide. Three-dimensional full-wave simulations indicate that the designed 13-mu m-long taper has an average transmission efficiency of 92% in the wavelength range of 1500-1600 nm. We also present an in-plane SiN waveguide crossing based on the imaging property of the square Maxwell's fisheye lens designed with quasi-conformal transformation optics. The designed waveguide crossing occupies a compact footprint of 5.65 mu m x 5.65 mu m, while its average insertion loss is 0.46 dB in the bandwidth of 1500-1600 nm. To the best our knowledge, the designed SiN waveguide taper and crossing have the smallest footprints to date. (C) 2020 Optical Society of America
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机译：光子集成电路的快速发展需要设计高效且紧凑的波导器件，例如波导锥形和交叉。氮化硅（SIN）波导平台中的一些组分优于硅波导平台的对应物。设计紧凑的SIN波导锥形和交叉是对均匀光子元件的尺寸至关重要。在本文中，我们利用了莱蒙堡透镜的聚焦性，将10μm宽波导的SIN锥形设计为1-mu m宽的波导。三维全波模拟表明，设计的13-mu m长锥度的平均传输效率为92％，在1500-1600nm的波长范围内。我们还基于采用准共形转换光学设计的方形麦克斯韦尔的Fisheye镜头的成像性能，在平面内的SIN波导交叉路口。设计的波导交叉占据紧凑的占地面积，占5.65 mu m x 5.65 mu m，而其平均插入损耗在1500-1600nm的带宽中为0.46 dB。为了最好的知识，设计的SIN波导锥度和交叉有最小的占地面积。 （c）2020美国光学学会
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