Pupil filter design by using a Bessel functions basis at the image plane

Canales, Vidal F.; Cagigal, Manuel P.

doi:10.1364/oe.14.010393

Cited by 22 publications

(9 citation statements)

References 28 publications

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“…This expression is similar to the one obtained in [5]. From here, a convenient choice of the parameters will provide different focal structures on the optical axis.…”

Section: Theoretical Considerationssupporting

confidence: 73%

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Real time modulable multifocality through annular optical elements

Pérez¹,

Espinosa²,

Illueca³

et al. 2008

Opt. Express

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We present and analyze new multifocal optical elements based on an annular distribution of the transmittance. These elements provide selectable number of foci and can be designed to work between two fixed positions or even to provide extended focal depth. The energy of the foci can be modulated through a single parameter that controls the area of each ring. In our study we analyze the quality of the peaks and also the limit number of foci that can be obtained. The properties shown by these elements make them usable in instrumental optics or in ophthalmic optics, as new intraocular implants, where multifocal elements are required. The implementation has been done on a twisted nematic spatial light modulator, thus allowing real time reconfiguration of the element.

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“…This expression is similar to the one obtained in [5]. From here, a convenient choice of the parameters will provide different focal structures on the optical axis.…”

Section: Theoretical Considerationssupporting

confidence: 73%

“…Among all proposals, radial-symmetric filters have been usually preferred for the ease of its fabrication and analysis [1][2][3][4][5]. These filters are use in order to achieve depth of focus, achromatic system, diffractive superresolution elements, etc.…”

Section: Introductionmentioning

confidence: 99%

Real time modulable multifocality through annular optical elements

Pérez¹,

Espinosa²,

Illueca³

et al. 2008

Opt. Express

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“…Canales et al [36] optimise the design of an annular binary pupil filter for specified restrictions on spot size, Strehl ratio and/or intensity ratio of the central spot to the first sideband. This is done by expanding the point spread function using the first-order Bessel functions as a basis, and then solving equations for the restrictions to obtain the mask parameters.…”

Section: Introductionmentioning

confidence: 99%

Optimising superoscillatory spots for far-field super-resolution imaging

et al. 2018

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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. Rev. E 67, 046611 (2003).

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“…Therefore, in recent years phase only filter design has achieved a rapid development based on the parabolic approximation of the PSF for the general filters introduced by Sheppard [8,9]. Typically, the design strategies of pupil filters include circular obstructions [10][11][12], continuously varying functions, such as Bessel functions [13,14] and Gaussian functions [15], and special forms, such as a spoke wheel filter [16].…”

Section: Introductionmentioning

confidence: 99%

Phase Only Pupil Filter Design Using Zernike Polynomials

Jiang

Miao

Sui

et al. 2016

Journal of the Optical Society of Korea

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A pupil filter is a useful technique for modifying the light intensity distribution near the focus of an optical system to realize depth of field (DOF) extension and superresolution. In this paper, we proposed a new design of the phase only pupil filter by using Zernike polynomials. The effect of design parameters of the new filters on DOF extension and superresolution are discussed, such as defocus Strehl ratio (S.R.), superresolution factor (G) and relative first side lobe intensity (M). In comparison with the other two types of pupil filters, the proposed filter presents its advantages on controlling both the axial and radial light intensity distribution. Finally, defocused imaging simulations are carried out to further demonstrate the effectiveness and superiority of the proposed pupil filter on DOF extension and superresolution in an optical imaging system.

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Pupil filter design by using a Bessel functions basis at the image plane

Cited by 22 publications

References 28 publications

Real time modulable multifocality through annular optical elements

Real time modulable multifocality through annular optical elements

Optimising superoscillatory spots for far-field super-resolution imaging

Phase Only Pupil Filter Design Using Zernike Polynomials

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