Seidel aberration coefficients: an alternative computational method

Lin, Psang Dain; Johnson, R. Barry

doi:10.1364/oe.27.019712

Cited by 18 publications

(11 citation statements)

References 12 publications

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“…We have shown, through extensive numerical simulations, that intensity-based moments and the associated parameters defined in terms of them (average position, spatial extent, skewness and kurtosis) adequately capture changes in beam shapes induced by aberrations. The approach towards investigating aberrations taken in this paper is novel in the study of metalenses, for which ray-optics and the associated phase distribution-based methods are the techniques of choice [ 15 , 16 , 17 , 18 , 19 ]. On the other hand, our approach is consistent with the general numerical simulation techniques of metalenses, which rely on wave optics.…”

Section: Discussionmentioning

confidence: 99%

“…In general, the estimation of aberrations is performed using ray tracing [ 15 , 16 , 17 ], generalizing the Debye integral and assigning specific aberration types to different Zernike polynomials [ 18 ] or assuming a certain expression of the phase distribution imparted by the metalens on an incoming optical field (see [ 4 , 19 ] and the references therein). Irrespective of the aberration type, its effect is to modify the beam shape in the focal plane of the metalens.…”

Section: Introductionmentioning

confidence: 99%

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Characterization of Monochromatic Aberrated Metalenses in Terms of Intensity-Based Moments

2021

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Consistent with wave-optics simulations of metasurfaces, aberrations of metalenses should also be described in terms of wave optics and not ray tracing. In this respect, we have shown, through extensive numerical simulations, that intensity-based moments and the associated parameters defined in terms of them (average position, spatial extent, skewness and kurtosis) adequately capture changes in beam shapes induced by aberrations of a metalens with a hyperbolic phase profile. We have studied axial illumination, in which phase-discretization induced aberrations exist, as well as non-axial illumination, when coma could also appear. Our results allow the identification of the parameters most prone to induce changes in the beam shape for metalenses that impart on an incident electromagnetic field a step-like approximation of an ideal phase profile.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Characterization of Monochromatic Aberrated Metalenses in Terms of Intensity-Based Moments

2021

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“…In Ref. [44], the authors introduced an overlap technique to their topology optimization approach to take into account the near field coupling from neighbouring unit cells. They applied their technique to optimize a large‐scale metalens, demonstrating higher efficiency with respect to the solution obtained with the classical local approximation technique.…”

Section: Gradient‐based Optimization Techniquesmentioning

confidence: 99%

Numerical Optimization Methods for Metasurfaces

Elsawy

Lanteri

Duvigneau

et al. 2020

Laser & Photonics Reviews

138

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In recent years, metasurfaces have emerged as revolutionary tools to manipulate the behavior of light at the nanoscale. These devices consist of nanostructures defined within a single layer of metal or dielectric materials, and they offer unprecedented control over the optical properties of light, leading to previously unattainable applications in flat lenses, holographic imaging, polarimetry, and emission control, amongst others. The operation principles of metaoptics include complex light-matter interactions, often involving insidious near-field coupling effects that are far from being described by classical ray optics calculations, making advanced numerical modeling a requirement in the design process. In this contribution, recent optimization techniques used in the inverse design of high performance metasurfaces are reviewed. These methods rely on the iterative optimization of a Figure of Merit to produce a final device, leading to freeform layouts featuring complex and non-intuitive properties. The concepts in numerical inverse designs discussed herein will push this exciting field toward realistic and practical applications, ranging from laser wavefront engineering to innovative facial recognition and motion detection devices, including augmented reality retro-reflectors and related complex light field engineering.

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“…Recently, it has been demonstrated that topology optimization can improve the performance of continuous structures. [ 38–40 ] Nevertheless, limited by the requirement of extensive numerical simulations, most of the topology‐optimized devices are confined to either periodic structures or small‐area devices. It is still extremely time‐consuming for the design of large‐area metasurfaces with 2D phase profiles.…”

Section: Introductionmentioning

confidence: 99%

Extreme‐Angle Silicon Infrared Optics Enabled by Streamlined Surfaces

Zhang

et al. 2021

Advanced Materials

126

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Infrared optical systems are indispensable in almost all domains of society, but their performances are often restricted by bulky size, small field of view, large thermal sensitivity, high fabrication cost, etc. Here, based on the concept of catenary optics, a novel isophase streamline optimization approach is leveraged to design silicon complementary metal–oxide–semiconductor (CMOS)‐compatible metasurfaces with broadband, wide‐angle, and high‐efficiency performances, which breaks through the glass ceiling of traditional optical technologies. By using the truly local geometric phase, a maximum diffraction efficiency approaching 100% is obtained in ultrawide spectral and angular ranges. Somewhat surprising results are shown in that wide‐angle diffraction‐limited imaging and laser beam steering can be realized with a record field of view up to 178°. This methodology is scalable to the entire optical band and other materials, enabling unprecedented compact infrared systems for surveillance, unmanned vehicles, medical science, etc.

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Seidel aberration coefficients: an alternative computational method

Cited by 18 publications

References 12 publications

Characterization of Monochromatic Aberrated Metalenses in Terms of Intensity-Based Moments

Characterization of Monochromatic Aberrated Metalenses in Terms of Intensity-Based Moments

Numerical Optimization Methods for Metasurfaces

Extreme‐Angle Silicon Infrared Optics Enabled by Streamlined Surfaces

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