One-dimensional superresolution optical system for temporally restricted objects

Abstract

Objects that temporally vary slowly may be superresolved by use of moving gratings. A system of this kind had been proposed three decades ago. However, it provides some distortion of the spectral response of the resolved object. In this project, an enhanced method based on Dammann gratings instead of regular gratings is suggested. The modified approach achieves results with an undistorted output and relatively high light efficiency, and it is effective for both coherent and incoherent light. Experimental results are provided for demonstrating the ability of the new approach.

Nanophotonics for optical super resolution from an information theoretical perspective: a review

“…Only the correct spectral information will have correction of the Doppler shift. For the other non relevant information cross terms a certain Doppler shift will still remain and thus after time averaging those undesired cross terms will be averaged to zero [10] (i.e. the decoding grating generated opposite time varying phase factor that will cancels the original temporal phase only in the proper spectral slots and therefore after time averaging all the undesired temporal slots will be averaged to zero).…”

“…2.1, the classical encoding-decoding process is performed using diffraction gratings [9][10][11][12][13][14][30][31][32][33][34][35][36][37][38][39][40][41][42]. One way to understand how this process is produced is by analyzing the encoding stage as a shift in the object's spectrum due to the action of the grating: each diffraction order down shifts the object's spectrum at the Fourier plane.…”

Scanning holographic microscopy with resolution exceeding the Rayleigh limit of the objective by superposition of off-axis holograms

“…[7][8][9][10][11] The degrees of freedom that can be sacrificed to improve the spatial resolution are numerous. For example, they can be dimensional, 12 temporal, 13,14 or polarization. 15 Different approaches to superresolution are based on analytic extrapolation, iterative use of a priori knowledge, 16,17 or deconvolution.…”

<title>Superresolving optical system using time multiplexing computer decoding and image processing</title>

“…In Ref. [3], two Dammann gratings replaced the Ronchi gratings and thus allowed obtaining undistorted spatial frequency transmission of the optical system. The super resolving approach when using the two moving gratings has two major disadvantages, which make it less efficient.…”