Modes and power splitting in a 5�5 coupler with application to coherent detection

Henry, W.M.; Travis, Adrian

doi:10.1007/bf00620196

Cited by 5 publications

(1 citation statement)

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“…(16) will achieve this, but they are easy to find numerically and their implementation will be readily achieved with the control available through the w j and the d kk ; this situation is in stark contrast to the difficulty noted as far back as in [17] of realizing periodic modal beat conditions with only the control available in fused biconic technology. The numerical method to find suitable matrices of the form Eq.…”

Section: Algorithm 3 Lie Theoretic Algorithmmentioning

confidence: 87%

General lossless planar coupler design algorithms

Vance¹

2015

J. Opt. Soc. Am. A

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This paper reviews and extends two classes of algorithms for the design of planar couplers with any unitary transfer matrix as design goals. Such couplers find use in optical sensing for fading free interferometry, coherent optical network demodulation, and also for quantum state preparation in quantum optical experiments and technology. The two classes are (1) "atomic coupler algorithms" decomposing a unitary transfer matrix into a planar network of 2×2 couplers, and (2) "Lie theoretic algorithms" concatenating unit cell devices with variable phase delay sets that form canonical coordinates for neighborhoods in the Lie group U(N), so that the concatenations realize any transfer matrix in U(N). As well as review, this paper gives (1) a Lie theoretic proof existence proof showing that both classes of algorithms work and (2) direct proofs of the efficacy of the "atomic coupler" algorithms. The Lie theoretic proof strengthens former results. 5×5 couplers designed by both methods are compared by Monte Carlo analysis, which would seem to imply atomic rather than Lie theoretic methods yield designs more resilient to manufacturing imperfections.

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Section: Algorithm 3 Lie Theoretic Algorithmmentioning

confidence: 87%