Optimising superoscillatory spots for far-field super-resolution imaging

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 practic...

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Main Authors: Rogers, Katrine S., Bourdakos, Konstantinos N., Yuan, Guang Hui, Mahajan, Sumeet, Rogers, Edward T. F.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/89109
http://hdl.handle.net/10220/47650
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author Rogers, Katrine S.
Bourdakos, Konstantinos N.
Yuan, Guang Hui
Mahajan, Sumeet
Rogers, Edward T. F.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Rogers, Katrine S.
Bourdakos, Konstantinos N.
Yuan, Guang Hui
Mahajan, Sumeet
Rogers, Edward T. F.
author_sort Rogers, Katrine S.
collection NTU
description 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.
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spelling ntu-10356/891092023-02-28T19:35:21Z Optimising superoscillatory spots for far-field super-resolution imaging Rogers, Katrine S. Bourdakos, Konstantinos N. Yuan, Guang Hui Mahajan, Sumeet Rogers, Edward T. F. School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) Superresolution Superoscillatory DRNTU::Science::Physics 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. MOE (Min. of Education, S’pore) Published version 2019-02-13T01:28:45Z 2019-12-06T17:18:02Z 2019-02-13T01:28:45Z 2019-12-06T17:18:02Z 2018 Journal Article Rogers, K. S., Bourdakos, K. N., Yuan, G. H., Mahajan, S., & Rogers, E. T. F. (2018). Optimising superoscillatory spots for far-field super-resolution imaging. Optics Express, 26(7), 8095-8112. doi:10.1364/OE.26.008095 1094-4087 https://hdl.handle.net/10356/89109 http://hdl.handle.net/10220/47650 10.1364/OE.26.008095 en Optics Express © 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved. 18 p. application/pdf
spellingShingle Superresolution
Superoscillatory
DRNTU::Science::Physics
Rogers, Katrine S.
Bourdakos, Konstantinos N.
Yuan, Guang Hui
Mahajan, Sumeet
Rogers, Edward T. F.
Optimising superoscillatory spots for far-field super-resolution imaging
title Optimising superoscillatory spots for far-field super-resolution imaging
title_full Optimising superoscillatory spots for far-field super-resolution imaging
title_fullStr Optimising superoscillatory spots for far-field super-resolution imaging
title_full_unstemmed Optimising superoscillatory spots for far-field super-resolution imaging
title_short Optimising superoscillatory spots for far-field super-resolution imaging
title_sort optimising superoscillatory spots for far field super resolution imaging
topic Superresolution
Superoscillatory
DRNTU::Science::Physics
url https://hdl.handle.net/10356/89109
http://hdl.handle.net/10220/47650
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