Analysis of two-dimensional polarisation-coupled impulse response in multilayered metallic flat lens

Two-dimensional imaging through a layered metallic flat lens involves coupling of the TE and TM polarisations that appear at the same time in the 2D spatial spectrum of the incident image. In effect the modulation transfer function and the impulse response that characterise 2D imaging through a metallic multilayer both have a matrix form and cross-polarisation coupling is observed for most spatially modulated beams with a linear or circular incident polarisation. Our present analysis is focused on these 2D cross-polarisation effects. In particular we investigate the role of singularities in the MTF and their relation to the regularisation problems for the respective 2D point spread functions. The analysis is based on transfer matrix method without the quasi-static approximation or scalar field approximation.

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