Abstract
A comparative study of pupil filters for transverse superresolution is presented in this article. We propose to combine the advantages of amplitude and phase filters in one complex filter that performs better than either phase or amplitude filters designed so far. The performance here refers to having a smaller spot size along with higher peak to side lobe intensity ratio. Using numerical simulation the limitations of phase and amplitude filters are assessed. The experimental verification of the designed combination filter is performed with two LCD spatial light modulators used for displaying separately the phase and amplitude part of the filter. Results obtained from this setup confirm the simulation.
Highlights
Superresolution has been demonstrated both computationally as well as experimentally using pupil filters [1,2,3,4]
This shows that there is less energy spread outside the central core for the complex combination filter than for the phase filters at this spot size
We presented through simulation the limitations of applicability of phase-only and amplitudeonly pupil filters for superresolved spot sizes
Summary
Superresolution has been demonstrated both computationally as well as experimentally using pupil filters [1,2,3,4]. When the spot size is reduced to 65% and below, the phase filters produce side lobe intensities as high as half the central peak intensity with a Strehl ratio (S) of 0.2 and below. The simulation results on 3 zone phase filters can be grouped into two: the objective function is written (i) for minimization of spot size and (ii) for reducing the side lobe intensity while keeping the spot size constant. Even though the amplitude filter reaches a particular G value at lower The numerical estimations of total energy reveals that the ratio of central core to the side lobe energies for the 2 zone and 3 zone phase filters in Fig. 3 are about 1:8 as compared to 1:4 for the complex combination filter. This shows that there is less energy spread outside the central core for the complex combination filter than for the phase filters at this spot size
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