Optimized Amplitude Filtering for Superresolution Over a Restricted FieldI. Achievement of Maximum Central Irradiance under an Energy Constraint

Boivin, Richard; Boivin, Albéric

doi:10.1080/713820285

Cited by 38 publications

(4 citation statements)

References 11 publications

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“…Boyer and Sechaud [125] presented pupil designs based on Taylor expansions around the centre and the edge of the pupils, and they also discussed the tight manufacturing tolerances and high power required by filters for large superresolution gain. Optimization of the pupil filters have been studied theoretically in a series of papers by Boivin and Boivin [126][127][128]. Ando [129] presented a phase-shifting apodizer design for decreasing the sidelobe intensity while raising the centre peak intensity.…”

Section: Pupil Filters and Supergain Antennasmentioning

confidence: 99%

Mathematical concepts of optical superresolution

Lindberg

2012

J. Opt.

131

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Optical imaging beyond the diffraction limit, i.e., optical superresolution, has been studied extensively in various contexts. This paper presents an overview of some mathematical concepts relevant to superresolution in linear optical systems. Properties of bandlimited functions are surveyed and are related to both instrumental and computational aspects of superresolution. The phenomenon of superoscillation and its relation to superresolution are discussed.

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Section: Pupil Filters and Supergain Antennasmentioning

confidence: 99%

Mathematical concepts of optical superresolution

Lindberg

2012

J. Opt.

131

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“…Past studies [1][2][3][4] have shown that the spot size, the spot intensity, and the distance to the sidelobes obey the qualitative rules of (1) decreasing the spot size results in a decreased spot intensity and (2) moving the sidelobes further away from the spot decreases the spot intensity. In the following these parameters are investigated first in simulations (section 5.1)…”

Section: Resultsmentioning

confidence: 99%

“…The optimization we carried out was aiming to reduce the focal width in the lateral direction similarly to past research [1][2][3][4]. Usually a decrease of the spot size in the lateral direction results in an axial elongation and vice versa [22,23] and in [11] it has been shown that this is also the case for the OEi optimization.…”

Section: Discussionmentioning

confidence: 97%

“…Using pupil filters, the lateral diffraction limited point spread function (PSF) or focal spot of an imaging or focusing system can be altered such that the width of the central lobe is reduced while the intensity is redistributed into the sidelobes [1][2][3][4]. Indeed, given a suitable pupil modification, the central lobe could in principle be made arbitrarily narrow and the sidelobes can be pushed arbitrarily far away from the center.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced two-point resolution using optical eigenmode optimized pupil functions

Kosmeier

Mazilu

Baumgartl

et al. 2011

J. Opt.

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Pupil filters have the capability to arbitrarily narrow the central lobe of a focal spot. We decompose the focal field of a confocal-like imaging system into optical eigenmodes to determine optimized pupil functions, that deliver superresolving scanning spots. As a consequence of this process, intensity is redistributed from the central lobe into side lobes restricting the field of view (FOV). The optical eigenmode method offers a powerful way to determine optimized pupil functions. We carry out a comprehensive study to investigate the relationship between the size of the central lobe, its intensity, and the FOV with the use of a dual display spatial light modulator. The experiments show good agreement with theoretical predictions and numerical simulations. Utilizing an optimized sub-diffraction focal spot for confocal-like scanning imaging, we experimentally demonstrate an improvement of the two-point resolution of the imaging system.

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Broadband Achromatic Sub‐Diffraction Focusing by an Amplitude‐Modulated Terahertz Metalens

Zhao

Dai

et al. 2020

Advanced Optical Materials

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THz focusing and imaging include bulky dielectric refractive lenses and parabolic mirrors. Due to the diffraction effect, the resolution of conventional optics is limited by the Abbe diffraction limit (DL) of 0.5λ/NA, [5] where λ and NA are working wavelength and numerical aperture (NA), respectively. Recently, there has been a growing interest in developing far-field super-resolution optical devices, which can achieve point-spread-function (PSF) of size smaller than the Abbe DL without evanescent waves [6] at a distance far beyond the near-field regime. [7,8] Based on the concept of superoscillation, [9-11] a variety of sub-diffraction or super-resolution optical devices have been demonstrated either theoretically or experimentally, including scalar super-resolution metalenses [12-22] and vector super-resolution metalenses. [23-33] Such super-resolution devices have been successfully shown great potential in labelfree super-resolution microscopy [13,21,34,35] and super-resolution telescope. [36] However, most previously reported super-resolution metalenses only work at one single wavelength [37] or several designed discrete wavelengths, [38,39] while broadband achromatic metalenses working in the visible [40-42] and nearinfrared spectrum [43-46] as well as THz regime [47] are restricted by the Abbe DL. To achieve a broadband super-resolution imaging, recently, a broadband super-resolution scheme was proposed and experimentally demonstrated by adopting the combination of a super-oscillatory binary phase filter and a conventional bulk achromatic refractive convex lens. [48] Up to now, it is still a great challenge to realize a sub-diffraction achromatic metalens with a continuous broad bandwidth. To achieve broadband achromatic super-resolution focusing, similar to the conventional optics, dispersion compensation is required to ensure that the wave of different wavelengths is focused at the same focal point. In addition, wave front engineering is also required to achieve the super-resolution PSF. Recent fast development of metasurfaces [49-54] provides effective ways to manipulate the amplitude, [55,56] phase, [57-61] polarization [30,33,62-66] and dispersion properties [67,68] of light waves. To achieve wave front shaping without influences on dispersion, one possible way is to realize broadband achromatic super-resolution by adopting amplitude modulation. Conventionally, pupil filters [69-78] can be used to achieve super-resolution in traditional optical systems. Recently, there are growing interests in developing super-resolution metalenses for applications of focusing and imaging. On one hand, various sub-diffraction metalenses have been demonstrated; however, most of them only work at a single wavelength or multiple discrete wavelengths. On the other hand, the previously reported broadband achromatic metalenses are diffraction-limited, or their focal spots are larger than the corresponding Abbe diffraction limit, 0.5λ/NA, where λ and NA are the lens working wavelength and numerical aperture. In the present wo...

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Optimized Amplitude Filtering for Superresolution Over a Restricted FieldI. Achievement of Maximum Central Irradiance under an Energy Constraint

Cited by 38 publications

References 11 publications

Mathematical concepts of optical superresolution

Mathematical concepts of optical superresolution

Enhanced two-point resolution using optical eigenmode optimized pupil functions

Broadband Achromatic Sub‐Diffraction Focusing by an Amplitude‐Modulated Terahertz Metalens

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