We propose to introduce a phase shift in each ring of the multi-stage interleavers based on add-drop resonator Mach–Zehnder interferometer to quantitatively measure the wavelength offset of each interleaver, thus a demultiplexer with uniformly segmented multi-channel output can be obtained. It is found that the additional phase of a certain interleaver is equal to the offset value of this stage plus the accumulated offset value of all previous stages. Following this rule, the quantitative cascade rule can be summarized, and theoretically an infinite-channel demultiplexer will be obtained. Combining fine-tuning and thermal tuning machining method, this cascade rule can guide the fabrication of stable and tunable demultiplexers in the integrated silicon photonics technology. Our method will provide a potential application for the fabrication of dense wavelength-division multiplexing systems with ultra-large capacity.
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