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Previously proposed designs of integrated photonic devices have used theintuitive brute force approach or optimization methods that employ parametersearch algorithms. However, a small parameter space and poor exploitation ofthe underlying physics have limited device performance, functionality, andfootprint. In this paper, we propose efficient and compact 2D 1xNin-plane-incidence wavelength demultiplexers by using recently developedobjective-first inverse design algorithm. Output ports in the presented 1xNphotonic devices are located along the transverse to the input channel.Ultra-high device performance was achieved for the specific designs of 1x2,1x4, and 1x6 wavelength (de)multiplexers with small footprints 2.80 um x 2.80um, 2.80 um x 4.60 um, 2.80 um x 6.95 um, respectively. We used two approachesto binarization-level-set and binarization-cost-to obtain silicon wavelengthdemultiplexer considering fabrication constraints. For instance, thetransmission efficiency of binarization-cost 1x2 demultiplexer was -0.30 dB for1.31 um and -0.54 dB at 1.55 um while crosstalk at the operating wavelengthsare negligibly small, i.e., -17.80 and -15.29 dB, respectively. Moreover, forthe binarization-cost 1x4 demultiplexer, the transmission efficiency valueswere approximately -1.90 dB at 1.31, 1.39, 1.47, and 1.55 um as the crosstalkwas approximately -13 dB. Furthermore, the objective-first algorithm was usedto employ our demultiplexers as multiplexers which means the ports that wereonce used as inputs in demultiplexers are designed to be used as outputs. Theinverse design approach that allows for the implementation of more than sixoutput channels together with the proposed functionalities can help developcompact and manufacturable 2D 1xN couplers.

High-performance 2D 1xN T-junction Wavelength (De)Multiplexer Systems by Inverse Design