Enhanced two-point resolution using optical eigenmode optimized pupil functions

Kosmeier, Sebastian; Mazilu, Michaël; Baumgartl, Jörg; Dholakia, Kishan

doi:10.1088/2040-8978/13/10/105707

Cited by 37 publications

(31 citation statements)

References 22 publications

(50 reference statements)

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“…We demonstrate the power of our method by comparing five specific spots with those in Table 1 of Kosmeier et al [40]. This comparison is shown in Table 1, with our spots denoted 1 R .…”

Section: Simulation Resultsmentioning

confidence: 83%

“…Here we compare our spots with Kosmeier et al [40], where the optical eigenmode method is used to generate the spots, as they give clear tabulation of all the relevant parameters of both the spot and its imaging performance. As we show below, the two-function method generates either: spots with the same imaging performance as the eigenmode method but with considerably more energy in the central spot; or with similar energies but improved imaging resolution.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…We then analyse the images taken by five sample spots, as well as examining the trade-offs, over the whole parameter space, between efficiency and resolution inherent in superoscillatory imaging systems. Our analysis follows the thorough methodology of Kosmeier et al [40], allowing easy comparison with previously described optimisation approaches.…”

Section: Spot Analysis and Imaging Simulationsmentioning

confidence: 99%

“…Optical eigenmodes are used to directly determine the smallest spot of maximal intensity within a given region of interest in [39,40]. This method is used to find a range of spots tailored to different measurement tasks by considering a number of FoV in [41].…”

Section: Introductionmentioning

confidence: 99%

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Optimising superoscillatory spots for far-field super-resolution imaging

et al. 2018

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Optical superoscillatory imaging, allowing unlabelled far-field super-resolution, has in recent years become reality. Instruments have been built and their super-resolution imaging capabilities demonstrated. The question is no longer whether this can be done, but how well: what resolution is practically achievable? Numerous works have optimised various particular features of superoscillatory spots, but in order to probe the limits of superoscillatory imaging we need to simultaneously optimise all the important spot features: those that define the resolution of the system. We simultaneously optimise spot size and its intensity relative to the sidebands for various fields of view, giving a set of best compromises for use in different imaging scenarios. Our technique uses the circular prolate spheroidal wave functions as a basis set on the field of view, and the optimal combination of these, representing the optimal spot, is found using a multi-objective genetic algorithm. We then introduce a less computationally demanding approach suitable for real-time use in the laboratory which, crucially, allows independent control of spot size and field of view. Imaging simulations demonstrate the resolution achievable with these spots. We show a three-order-of-magnitude improvement in the efficiency of focusing to achieve the same resolution as previously reported results, or a 26 % increase in resolution for the same efficiency of focusing. Rev. E 67, 046611 (2003).

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“…We demonstrate the power of our method by comparing five specific spots with those in Table 1 of Kosmeier et al [40]. This comparison is shown in Table 1, with our spots denoted 1 R .…”

Section: Simulation Resultsmentioning

confidence: 83%

Section: Simulation Resultsmentioning

confidence: 99%

Section: Spot Analysis and Imaging Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimising superoscillatory spots for far-field super-resolution imaging

et al. 2018

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“…2,3 In this case, the higher the density the smaller the point spread function of the optical system and ultimately the higher the resolution of the imaging system. The optical eigenmodes (OEi) offer a natural description of the electromagnetic fields propagating through a linear optical system.…”

Section: Introductionmentioning

confidence: 99%

Density of optical degrees of freedom: intensity, linear, and angular momentum

Mazilu

2014

SPIE Proceedings

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For any optical system, optical eigenmodes describe solutions of Maxwells equations that are orthogonal to each other. In their simplest free space form, these modes correspond, for example, to Bessel, Laguerre-Gaussian or Hermite-Gaussian beams. However, the orthogonality property is not limited to the intensity of the optical field but more generally the optical eigenmode decomposition can be applied to the linear and angular momentum arising from complex coherent beams. These modes can be seen as describing the independent degrees of freedom of the optical system and are characterized by the mode, their density and coupling efficiency. It is interesting to study the effect of different optical systems on the density of the optical degrees of freedom propagating through them. Here, we look at systems containing different elements such as: dielectric, meta-material and random lenses. Using the optical eigenmode decomposition, we determine their density in these different cases and discuss the origin of the variations observed. Further, we study the overall number of optical degrees of freedom accessible including linear and angular momentum of optical beams.

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Ultrabroadband superoscillatory lens composed by plasmonic metasurfaces for subdiffraction light focusing

Tang

Wang

Zhao

et al. 2015

Laser & Photonics Reviews

222

138

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Conventional optics is diffraction limited due to the cutoff of spatial frequency components, and evanescent waves allow subdiffraction optics at the cost of complex near‐field manipulation. Recently, optical superoscillatory phenomena were employed to realize superresolution lenses in the far field, but suffering from very narrow working wavelength band due to the fragility of the superoscillatory light field. Here, an ultrabroadband superoscillatory lens (UBSOL) is proposed and realized by utilizing the metasurface‐assisted law of refraction and reflection in arrayed nanorectangular apertures with variant orientations. The ultrabroadband feature mainly arises from the nearly dispersionless phase profile of transmitted light through the UBSOL for opposite circulation polarization with respect to the incident light. It is demonstrated in experiments that subdiffraction light focusing behavior holds well with nearly unchanged focal patterns for wavelengths spanning across visible and near‐infrared light. This method is believed to find promising applications in superresolution microscopes or telescopes, high‐density optical data storage, etc.

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Enhanced two-point resolution using optical eigenmode optimized pupil functions

Cited by 37 publications

References 22 publications

Optimising superoscillatory spots for far-field super-resolution imaging

Optimising superoscillatory spots for far-field super-resolution imaging

Density of optical degrees of freedom: intensity, linear, and angular momentum

Ultrabroadband superoscillatory lens composed by plasmonic metasurfaces for subdiffraction light focusing

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