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Fourier optics, the principle of using Fourier Transformation to understand the functionalities of optical elements, lies at the heart of modern optics, and has been widely applied to optical information processing, imaging, holography etc.…

The article presents a computationally effective algorithm for calculating the multiresolution discrete Fourier transform (MrDFT). The algorithm is based on the idea of reducing the computational complexity which was introduced by Wen and…

Data Structures and Algorithms · Computer Science 2015-07-10 Bartosz Andreatto , Aleksandr Cariow

High-quality flat optical elements require efficient light deflection to large angles and over a wide wavelength spectrum. Although phase gradient metasurfaces achieve this by continuously adding phase shifts in the range of 0 to 2{\pi} to…

Optics · Physics 2018-10-26 Claudio U. Hail , Dimos Poulikakos , Hadi Eghlidi

This paper presents a framework for analyzing and designing cylindrical omega-bianisotropic metasurfaces, inspired by mode matching and digital signal processing techniques. Using the discrete Fourier transform, we decompose the the…

Classical Physics · Physics 2022-03-10 Gengyu Xu , George V. Eleftheriades , Sean V. Hum

This work presents a highly optimized computational framework for the Discrete Dipole Approximation, a numerical method for calculating the optical properties associated with a target of arbitrary geometry that is widely used in…

Instrumentation and Methods for Astrophysics · Physics 2009-08-07 James Mc Donald , Aaron Golden , S. Gerard Jennings

Optical spectrum analysis is the cornerstone of spectroscopic sensing, optical network performance monitoring, and hyperspectral imaging. While conventional high-performance spectrometers used to perform such analysis are often large…

Applied Physics · Physics 2018-03-19 Derek M. Kita , Brando Miranda , David Favela , David Bono , Jerome Michon , Hongtao Lin , Tian Gu , Juejun Hu

Metasurface enables the generation and manipulation of multiphoton entanglement with flat optics, providing a more efficient platform for large-scale photonic quantum information processing. Here, we show that a single metasurface optical…

Quantum Physics · Physics 2024-06-26 Kui An , Zilei Liu , Ting Zhang , Siqi Li , You Zhou , Xiao Yuan , Leiran Wang , Wenfu Zhang , Guoxi Wang , He Lu

As the explosive growth of visual data increasingly strains the latency and energy limits of conventional electronic computing, optical analog computing has re-emerged as a disruptive paradigm for zero-power, speed-of-light information…

Optics · Physics 2026-04-21 Tingting Liu , Jumin Qiu , Xintong Shi , Qiegen Liu , Shuyuan Xiao

Image computation is a fundamental tool for performance assessment of astronomical instrumentation, usually implemented by Fourier transform techniques. We review the numerical implementation, evaluating a direct implementation of the…

Astrophysics · Physics 2008-11-26 M. Gai , R. Cancelliere

The $N$-point discrete Fourier transform (DFT) is a cornerstone for several signal processing applications. Many of these applications operate in real-time, making the computational complexity of the DFT a critical performance indicator to…

Data Structures and Algorithms · Computer Science 2024-12-18 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

We introduce the new concept of "metalines" for manipulating the amplitude and phase profile of an incident wave locally and independently. Thanks to the highly confined graphene plasmons, a transmit-array of graphene-based metalines is…

Emerging Technologies · Computer Science 2023-07-19 Sajjad AbdollahRamezani , Kamalodin Arik , Amin Khavasi , Zahra Kavehvash

Recent years have seen a considerable surge of research on developing heuristic approaches to realize analog computing using physical waves. Among these, neuromorphic computing using light waves is envisioned to feature performance metrics…

Optics · Physics 2022-10-18 Cheng-Chia Tsai , Xiaoyan Huang , Zhicheng Wu , Zongfu Yu , Nanfang Yu

The next generation of smart imaging and vision systems will require compact and tunable optical computing hardware to perform high-speed and low-power image processing. These requirements are driving the development of computing…

Metalenses offer significant potential for ultra-compact computational imaging but face challenges from complex optical degradation and computational restoration difficulties. Existing methods typically rely on precise optical calibration…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Jianing Zhang , Jiayi Zhu , Feiyu Ji , Xiaokang Yang , Xiaoyun Yuan

Reducing a set of diverse bulk-optic-based optical components to a single ultrathin and compact element that enables the same complex functionality has become an emerging research area, propelling further integration and miniaturization in…

Optics · Physics 2019-04-15 Fei Ding , Yiting Chen , Yuanqing Yang , Sergey I. Bozhevolnyi

All-optical image processing offers a high-speed, energy-efficient alternative to conventional electronic systems by leveraging the wave nature of light for parallel computation. However, traditional optical processors rely on bulky…

Optics · Physics 2026-03-17 Linzhi Yu , Haobijam J. Singh , Jesse Pietila , Humeyra Caglayan

Optoacoustic imaging technologies require fast and accurate signal pre-processing algorithms to enable widespread deployment in clinical and home-care settings. However, they still rely on the Discrete Fourier Transform (DFT) as the default…

The Discrete Fourier Transform (DFT) is essential for various applications ranging from signal processing to convolution and polynomial multiplication. The groundbreaking Fast Fourier Transform (FFT) algorithm reduces DFT time complexity…

Hardware Architecture · Computer Science 2023-04-06 Orian Leitersdorf , Yahav Boneh , Gonen Gazit , Ronny Ronen , Shahar Kvatinsky

Metasurfaces provide a compact, flexible, and reliable solution for controlling the wavefront of light. In imaging systems, micro-lens arrays are integrated with pixel matrices to reduce optical crosstalk, enhance photon collection…

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

Data Structures and Algorithms · Computer Science 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza
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