Multiplying N equally split Mach-Zehnder output intensities narrows the central fringe by 1/√N while preserving shot-noise phase sensitivity, an effect that follows directly from the definition of the product.
K., Zhao, G., Wiersig, J
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Enhanced interferometric resolution via N-fold intensity-product measurements without sacrificing phase sensitivity
Multiplying N equally split Mach-Zehnder output intensities narrows the central fringe by 1/√N while preserving shot-noise phase sensitivity, an effect that follows directly from the definition of the product.