The tunneling of waves, electrons, photons, and phonons incident on a periodic medium is limited to a certain distance, the Bragg length LB, due to the reflection arising from Bragg interference. While this perfect reflection by a crystal has enabled their application in solar cells [1] and optical memories [2], the limited tunnelling depth does not allow any functionalizing of periodic medium beyond a Bragg length.

© 2019 IEEE

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