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Addendum to 'Unidirectionally invisible potentials as local building blocks of all scattering potentials'

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In [Phys. Rev. A 90, 023833 (2014)], we offer a solution to the problem of constructing a scattering potential v(x) which possesses scattering properties of one's choice at an arbitrarily prescribed wave number. This solution involves expressing v(x) as the sum of n <= 6 finite-range unidirectionally invisible potentials. We improve this result by reducing the upper bound on n from 6 to 4. In particular, we show that we can construct v(x) as the sum of up to n = 3 finite-range unidirectionally invisible potentials, unless if it is required to be bidirectionally reflectionless.

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American Physical Society (APS)

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Optics, Physics

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Physical Review A 

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10.1103/PhysRevA.90.055803

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