Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes

Khonina, Svetlana N.; Ponomareva, Ekaterina D.; Butt, Muhammad A.

doi:10.3390/opt2030015

Open AccessFeature PaperArticle

Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes

by

Svetlana N. Khonina

^1,2,*

,

Ekaterina D. Ponomareva

² and

Muhammad A. Butt

^2,3

¹

Image Processing Systems Institute-Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, 443001 Samara, Russia

²

Samara National Research University, 443086 Samara, Russia

³

Institute of Microelectronics and Optoelectronics, Warsaw University of Technology, Koszykowa 75, 00-662 Warszawa, Poland

^*

Author to whom correspondence should be addressed.

Optics 2021, 2(3), 155-168; https://doi.org/10.3390/opt2030015

Submission received: 18 June 2021 / Revised: 17 August 2021 / Accepted: 18 August 2021 / Published: 20 August 2021

(This article belongs to the Special Issue Feature Papers in Optics)

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Abstract

The problem of overcoming the diffraction limit does not have an unambiguously advantageous solution because of the competing nature of different beams’ parameters, such as the focal spot size, energy efficiency, and sidelobe level. The possibility to overcome the diffraction limit with suppressed sidelobes out of the near-field zone using superoscillating functions was investigated in detail. Superoscillation is a phenomenon in which a superposition of harmonic functions contains higher spatial frequencies than any of the terms in the superposition. Two types of superoscillating one-dimensional signals were considered, and simulation of their propagation in the near diffraction zone based on plane waves expansion was performed. A comparative numerical study showed the possibility of overcoming the diffraction limit with a reduced level of sidelobes at a certain distance outside the zone of evanescent waves.

Keywords: superoscillating functions; overcoming the diffraction limit; near diffraction zone; evanescent waves; propagation operator based on the plane waves expansion

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MDPI and ACS Style

Khonina, S.N.; Ponomareva, E.D.; Butt, M.A. Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes. Optics 2021, 2, 155-168. https://doi.org/10.3390/opt2030015

AMA Style

Khonina SN, Ponomareva ED, Butt MA. Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes. Optics. 2021; 2(3):155-168. https://doi.org/10.3390/opt2030015

Chicago/Turabian Style

Khonina, Svetlana N., Ekaterina D. Ponomareva, and Muhammad A. Butt. 2021. "Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes" Optics 2, no. 3: 155-168. https://doi.org/10.3390/opt2030015

APA Style

Khonina, S. N., Ponomareva, E. D., & Butt, M. A. (2021). Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes. Optics, 2(3), 155-168. https://doi.org/10.3390/opt2030015

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Study of Superoscillating Functions Application to Overcome the Diffraction Limit with Suppressed Sidelobes

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