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Filters are key devices in optical systems and are usually applied to signalsuppression or selection based on their amplitude frequency responses.Different from amplitude filtering, an all-pass filter (APF) is a unique typeof filter that exhibits a uniform amplitude and variable phase in the frequencyresponse. Traditionally, an APF is designed to be ideal and lossless, which isimpossible in practice. Here we demonstrate a method of realizing an APF evenwhen transmission loss exists, and a possible structure for realizing the lossyAPF is proposed. The method indicates that a lossy APF can be realized byintroducing self-compensation of loss to the structure of an ideal single-stageAPF, and an APF based on silicon-on-insulator (SOI) foundry is fabricated anddemonstrated. The method of self-compensation of loss can also be used torealize APFs in the electrical domain. We anticipate that our work will inspirerealizations of more APF-related devices that once seemed impossible inpractice.

An optical all-pass filter realized by using self-compensation of loss