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Optimising superoscillatory spots for far-field super-resolution imaging

Optimising superoscillatory spots for far-field super-resolution imaging
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 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.
1094-4087
8095-8112
Rogers, K.S.
912ab89b-6c58-4259-af48-e6d7a094c897
Bourdakos, Konstantinos
83f6fc3a-db12-476b-9a78-4aad8756f82f
Yuan, Guanghui
d7af6f06-7da9-41ef-b7f9-cfe09e55fcaa
Mahajan, Sumeet
b131f40a-479e-4432-b662-19d60d4069e9
Rogers, Edward T.F.
b92cc8ab-0d91-4b2e-b5c7-8a2f490a36a2
Rogers, K.S.
912ab89b-6c58-4259-af48-e6d7a094c897
Bourdakos, Konstantinos
83f6fc3a-db12-476b-9a78-4aad8756f82f
Yuan, Guanghui
d7af6f06-7da9-41ef-b7f9-cfe09e55fcaa
Mahajan, Sumeet
b131f40a-479e-4432-b662-19d60d4069e9
Rogers, Edward T.F.
b92cc8ab-0d91-4b2e-b5c7-8a2f490a36a2

Rogers, K.S., Bourdakos, Konstantinos, Yuan, Guanghui, Mahajan, Sumeet and Rogers, Edward T.F. (2018) Optimising superoscillatory spots for far-field super-resolution imaging. Optics Express, 26 (7), 8095-8112. (doi:10.1364/OE.26.008095).

Record type: Article

Abstract

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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More information

Accepted/In Press date: 19 February 2018
e-pub ahead of print date: 20 March 2018
Published date: 2 April 2018

Identifiers

Local EPrints ID: 418398
URI: http://eprints.soton.ac.uk/id/eprint/418398
ISSN: 1094-4087
PURE UUID: fb9af34c-d40a-48ab-b2b2-25f1489064fe
ORCID for Sumeet Mahajan: ORCID iD orcid.org/0000-0001-8923-6666

Catalogue record

Date deposited: 06 Mar 2018 17:30
Last modified: 26 Nov 2021 07:06

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Contributors

Author: K.S. Rogers
Author: Konstantinos Bourdakos
Author: Guanghui Yuan
Author: Sumeet Mahajan ORCID iD
Author: Edward T.F. Rogers

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