Application of AIM and MBPE Techniques to Accelerate Modeling of 3-D Doubly Periodic Structures with Nonorthogonal Lattices Composed of Bianisotropic Media

Wang, Xiande; Werner, Douglas H.; Turpin, Jeremiah P.

doi:10.1109/tap.2014.2322903

Cited by 18 publications

(4 citation statements)

References 88 publications

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“…First, an in-house periodic finite element boundary integral method was used that was specifically designed for the efficient simulation of voxelized or block-like structures. [42,43] Second, in-parallel simulation of the entire population of designs across multiple processing cores was utilized. Third, previously-simulated designs were automatically checked to prevent duplicate tasks.…”

Section: Methodsmentioning

confidence: 99%

Broadband Asymmetric Transmission of Linearly Polarized Mid‐Infrared Light Based on Quasi‐3D Metamaterials

Whiting

Goldflam

Kang

et al. 2022

Adv Funct Materials

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Metamaterials consisting of subwavelength resonators offer an exciting opportunity for realizing asymmetric transmission (AT) of linearly polarized light. However, to date, only moderate/narrow-band AT responses have been obtained in metadevices based on stacked planar nanostructures. Here, leveraging a combination of a genetic algorithm (GA) based optimization method and a membrane projection lithography (MPL) fabrication approach, a quasi-3D metamaterial for broadband AT of linearly polarized mid-infrared light is demonstrated. Facilitated by the customized GA, an efficient exploration of 3D plasmonic meta-atoms with broken mirror symmetry in the light propagation direction allows the satisfaction of the rigorous conditions for AT of linearly polarized waves over a broad wavelength range. Confirmed by surface current analysis, the observed AT behavior is attributed to the resonant coupling between the plasmonic nanostructures located on the two orthogonal walls of the MPL cavities. Incorporating an advanced inversedesign method and a state-of-art fabrication technique, the methodology used in the present study provides a promising route for exploiting 3D metamaterials with sophisticated functionalities via effectively exploring the high-dimensional parametric space offered by true 3D meta-atoms.

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Section: Methodsmentioning

confidence: 99%

Broadband Asymmetric Transmission of Linearly Polarized Mid‐Infrared Light Based on Quasi‐3D Metamaterials

Whiting

Goldflam

Kang

et al. 2022

Adv Funct Materials

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“…Therefore, new tools are needed which can fully capture the physics of systems that incorporate metasurface lenses (i.e., metalenses) along with GRIN as well as conventional spherical and aspherical components. To this end, full-wave techniques such as those based on rigorous coupled wave analysis (RCWA) 3 and the periodic finite element boundary integral (PFEBI) 4 and discontinuous Galerkin time domain (DGTD) 5 methods are well suited for modeling the behavior of metasurface unit cells (i.e., meta-atoms) and supercells. By hybridizing these fullwave methods with a custom ray tracer, we are able to model such extreme optical systems featuring arbitrary combinations of homogeneous, GRIN, and metasurface elements.…”

Section: Introductionmentioning

confidence: 99%

A toolkit for multiscale optical system inverse-design

Campbell¹,

Jenkins

Zerbe

et al. 2022

Current Developments in Lens Design and Optical Engineering XXIII

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Optical system design is undergoing a transformational change with the increases in computational horsepower, cutting-edge algorithmic developments, and the advent of new nanofabrication technologies. Among the most exciting advances in recent memory are optical metasurfaces, which are patterned surfaces commonly realized through nanofabrication that can imbue optical engineers with expanded degrees of design freedom due to their ability to exploit the generalized form of Snell’s law. Through intelligent optimization and design, metasurfaces can be constructed which achieve arbitrary chromatic dispersion behaviors and unprecedented control over polarization that simply cannot be realized with conventional optical elements. However, designing high-performance metasurfaces requires the use of full-wave simulation tools and numerical optimization techniques which necessitate considerable computational resources. Moreover, while optical metasurfaces are moving towards millimeter and centimeter scale diameter lenses with advances in nanofabrication techniques, it is computationally infeasible to employ full-wave simulation tools directly to model optical systems that use such large size elements. Nevertheless, the size, weight, and power (SWaP) advantages afforded by optical metasurfaces make them a compelling choice for designers to consider in a number of applications, which are currently limited by bulky conventional optical solutions. Therefore, techniques that can rapidly model metasurfaces in conjunction with conventional optical elements such as lenses, mirrors, and prisms are highly desirable. In this presentation, we highlight a toolkit of custom solvers, design procedures, and powerful optimization algorithms that simplify and accelerate the development of hybrid optical systems with arbitrary combinations of conventional and metasurface elements.

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“…calculations at every frequency. Several algorithms based on the MoM have been proposed to quickly simulate the EM scattering over a frequency band, such as, the asymptotic waveform evaluation (AWE) techniques [5]- [8], the modelbased parameter estimation (MBPE) [9]- [11] and the Maehly approximation [12]- [16]. Comparing with the AWE and the MBPE, high derivates are not required and the accuracy can be controllable in the Maehly technique.…”

Section: Introductionmentioning

confidence: 99%

Fast Simulations of Electromagnetic Scattering From One-Dimensional Rough Surface Over a Frequency Band Using Hybrid AMCBFM-Maehly Method

Wang

Huang

et al. 2019

IEEE Access

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In this paper, the hybrid AMCBFM-Maehly method is presented to fast simulate the electromagnetic scattering from one-dimensional rough surface over a frequency band. In this approach, the traditional Maehly technique is applied to get the rational function of the induced electric current along the rough surface over a frequency band. The adaptive modified characteristic basis function method (AMCBFM) is utilized to fast compute the induced electric current along the rough surface at the Chebyshev nodes of the Maehly technique. Moreover, in the AMCBFM, the size of the matrix is reduced. And a current criterion is defined to adaptively halt the order of the characteristic basis functions (CBFs). The validity and efficiency of the hybrid AMCBFM-Maehly are assessed by comparing the numerical results of the hybrid AMCBFM-Maehly with the method of moments (MoM). The hybrid AMCBFM-Maehly can effectively reduce the size of the matrix, and it costs nearly half the CPU time used by the MoM. Moreover, by comparing with the traditional Maehly technique, the hybrid AMCBFM-Maehly costs less time. Additionally, in most cases, the first order of the CBFs of the hybrid AMCBFM-Maehly is sufficient for this result.INDEX TERMS Adaptive modified characteristic basis function method, Maehly approximation, rough surface, frequency band, method of moments.

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Application of AIM and MBPE Techniques to Accelerate Modeling of 3-D Doubly Periodic Structures with Nonorthogonal Lattices Composed of Bianisotropic Media

Cited by 18 publications

References 88 publications

Broadband Asymmetric Transmission of Linearly Polarized Mid‐Infrared Light Based on Quasi‐3D Metamaterials

Broadband Asymmetric Transmission of Linearly Polarized Mid‐Infrared Light Based on Quasi‐3D Metamaterials

A toolkit for multiscale optical system inverse-design

Fast Simulations of Electromagnetic Scattering From One-Dimensional Rough Surface Over a Frequency Band Using Hybrid AMCBFM-Maehly Method

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