Jacobi–Fourier phase mask for wavefront coding

González-Amador, Enrique; Padilla-Vivanco, Alfonso; Toxqui-Quitl, C.; Arines, Justo; Acosta, Eva

doi:10.1016/j.optlaseng.2019.105880

Cited by 15 publications

(19 citation statements)

References 21 publications

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“…It can be seen that for p = 7 we obtain the trefoil aberration. In references [15,17] we showed that the proper choice of the p value is a trade-off among signal to noise ratio, desired depth of focus and presence of artifacts for a given f / # of the optical system: In general, we found that small values of p are related with the presence of artifacts and noise enhancement but large values of p shorten the depth of focus. In this work, in order to optimize the design of JFP PMs, we will consider p to be a rational number multiple of N/2, being N an integer.…”

Section: Jacobi-fourier Phase Masksmentioning

confidence: 84%

“…Recently, Nhu et al [8] demonstrated that a smooth shape of the PM at the central part of the pupil and a rapid variation at the periphery are important features for a PM to have a good performance. Based on these results, we proposed the use of a subset of JFP to improve the performance of a trefoil PM [15]. These JFP have the shape…”

Section: Jacobi-fourier Phase Masksmentioning

confidence: 99%

“…We consider an optical system with f /2.5 and a wavelength of λ = 632 nm. This optical system has been already analyzed in ref [15] for integer p values between 6 and 10. For a value of the strength of α = 50 λ and considering both noiseless and noisy cases, we found that p values of 6, 7 and 8 performed better.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…For a value of the strength of α = 50 λ and considering both noiseless and noisy cases, we found that p values of 6, 7 and 8 performed better. In this work, we will consider the same noise values as those provided in ref [15], but we will study the performance of JFP PMs with p value between 7 and 9. Figure 2 shows 2D contour maps of the different PMs where radius of pupil has been normalized to unity.…”

Section: Numerical Simulationsmentioning

confidence: 99%

See 3 more Smart Citations

New family of Jacobi-Fourier aberrations for wavefront coding

Acosta¹,

Amador²,

Padilla³

et al. 2022

AJP

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Dedicated to Prof Maria J YzuelWavefront coding is a hybrid optical-digital imaging system technique which generates aberrations using a phase mask or a phase generating device at the exit pupil of an optical system in order to extend its depth of focus. The optical system generates an intermediate low-quality image blurred by the aberrations of the added phase and, a sharp final image is obtained by a deconvolution process involving the optical transfer function (OTF) of the whole optical system at the image plane. Many shapes for the added phase have been proposed and they differ among each other in the quality of the decoded images within a given depth of focus as well as the noise and artifacts transferred to the postprocessed image. In this work, we will present a new set of phase masks based on Jacobi-Fourier polynomials and show the advantages and disadvantages comparing with the commonly used trefoil aberration.

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Section: Jacobi-fourier Phase Masksmentioning

confidence: 84%

Section: Jacobi-fourier Phase Masksmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

See 2 more Smart Citations

New family of Jacobi-Fourier aberrations for wavefront coding

Acosta¹,

Amador²,

Padilla³

et al. 2022

AJP

View full text Add to dashboard Cite

show abstract

“…Also, the Jacobi-Fourier phase mask for imaging is presented in Ref. 18. An optimized binary phase mask for a hybrid optical digital imaging system is utilized to improve DoF in Refs.…”

Section: Related Workmentioning

confidence: 99%