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Efficient method to create superoscillations with generic target behavior

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arxiv 2004.02892 v1 pith:ID4IQ4FI submitted 2020-04-06 physics.optics quant-ph

classification physics.opticsquant-ph
keywords methodsuperoscillatorybehavioraccuracyallowsarbitraryconstructingconstruction
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We introduce a new numerically stable method for constructing superoscillatory wave forms inan arbitrary number of dimensions. The method allows the construction of superoscillatory square-integrable functions that match any desired smooth behavior in their superoscillatory region toarbitrary accuracy.

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