Calculation of eigenfunctions of bounded waveguide with quadratic refractive index

Kirilenko, Mikhail S.; Zubtsov, R O; Хонина, С. Н.

doi:10.1088/1742-6596/735/1/012002

Search citation statements

Order By: Relevance

Paper Sections

Select...

Other1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most famous are spheroidal functions representing the eigenfunctions of the bounded Fourier operator [56][57][58][59]. When using several lenses, as well as for more complex optical systems, the eigenfunctions are calculated numerically [60,61].…”

Section: Line 4)mentioning

confidence: 99%

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

Хонина

Ponomareva

Butt

2021

Optics

View full text Add to dashboard Cite

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.

show abstract