A unifying approach for the vectorial Rayleigh–Sommerfeld diffraction integrals
TL;DR: In this article, a unique approximation to the vectorial Rayleigh-Sommerfeld diffraction integrals (RSDI) is developed to study the diffraction properties of apertures illuminated with collimated, converging or diverging polarized waves.
About: This article is published in Optics Communications.The article was published on 2019-10-01. It has received 5 citations till now. The article focuses on the topics: Physical optics & Diffraction.
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TL;DR: In this article, the scalar expressions of typical structured light beams, including the Laguerre-Gaussian beams, Bessel beams, and Airy beams, were analyzed under different conditions.
Abstract: As typical structured light beams, Laguerre-Gaussian beams, Bessel beams, and Airy beams have attracted great attention for their fascinating features and wide potential applications. Explicit expressions for the electromagnetic field components of these beams obtained from a vector angular spectrum analysis are of particular importance to study a variety of problems involving the propagation, transmission, and reflection of laser beam, as well as light-matter interactions. In the present work, we first briefly recall the scalar expressions of typical structured light beams, including the Laguerre–Gaussian beams, Bessel beams, and Airy beams. Then we present the formulae of vector angular spectrum representation under different conditions. Finally, we derive in detail the analytical expressions for the electromagnetic field components of these structured light beams and provide some important integral formulae. Additionally, distributions of the electromagnetic fields, as well as the phase, Poynting vector and energy density are displayed and analyzed for these typical structured light beams.
9 citations
TL;DR: Experimental results demonstrate that the proposed method can effectively improve the reconstruction accuracy of the tilt wavefronts and can be refined with the particle swarm optimization.
5 citations
TL;DR: It is found that the description of the passage of GSPBs through a polarization system is equivalent to the stability theory of autonomous systems of ordinary differential equations.
Abstract: We present a generalization of the known spirally polarized beams (SPBs) which we will call generalized spirally polarized beams (GSPBs). We characterize in detail both theoretically and experimentally the streamline morphologies of the GSPBs and their transformation by arbitrary polarization optical systems described by complex Jones matrices. We find that the description of the passage of GSPBs through a polarization system is equivalent to the stability theory of autonomous systems of ordinary differential equations. While the streamlines of the GSPB exhibit a spiral geometry, the streamlines of the output field may exhibit spirals, saddles, nodes, ellipses, and stars as well. Using a novel experimental technique based on a Sagnac interferometer, we have been able to generate in the laboratory each one of the different cases of GSPBs and record their corresponding characteristic streamline morphologies.
4 citations
15 Dec 2022
TL;DR: In this paper , an omnidirectional receiver based on 7-layer D 2 NN is proposed to alleviate the link alignment difficulties in UWOC systems, and the vectorial diffraction theory is introduced into the training of the D2 NN to obtain more accurate diffraction calculations compared with the prevalently adopted scalar diffraction theories.
Abstract: : The link alignment requirement in underwater wireless optical communication (UWOC) systems is a knotty problem. The diffractive deep neural network (D 2 NN) has shown great potential in accomplishing tasks all optically these years. In this paper, an omnidirectional receiver based on 7-layer D 2 NN is first proposed to alleviate the link alignment difficulties in UWOC systems. In addition, the vectorial diffraction theory is introduced into the training of the D 2 NN to obtain more accurate diffraction calculations compared with the prevalently adopted scalar diffraction theory. Simulation results verify the validity of the vectorial diffraction theory and demonstrate that the presented method can focus incident light waves with tilt angles from 0 to 89 degrees in a 6.25% area of the detection plane with an average focusing efficiency of 90.96%, proving the feasibility of omnidirectional focusing at the receiver end. Extra simulations further reveal that more layers do not lead to a sustained performance improvement but rather reach a bottleneck, and the D 2 NN can achieve omnidirectional focusing with a certain range of focusing region size. With more effort, the proposed receiver design, which can be highly integrated with detectors, holds promise to realize both omnidirectional and reliable link establishment in UWOC systems
TL;DR: In this paper , the vectorial Rayleigh-Sommerfeld diffraction integrals are derived for the electric field components of typical spatial-structured light beams, including fundamental Gaussian beams, Hermite-Gaussian beam, Laguerre Gaussian beam and Airy beam.
Abstract: Structured light beams with distinct spatial inhomogeneity of amplitude, phase, and polarization have garnered tremendous attention in recent years. A better understanding of the vectorial structure of such beams is helpful to reveal their important and interesting features for further applications. In this paper, explicit analytical expressions for the electric field components of typical spatial-structured light beams, including fundamental Gaussian beams, Hermite-Gaussian beams, Laguerre-Gaussian beams, Bessel/Bessel-Gaussian beams, and Airy beams, beyond the paraxial approximation are derived on the basis of the vectorial Rayleigh-Sommerfeld diffraction integrals. Compared with the existing expressions in the literature, the expressions given in this paper are very concise. Using the derived analytical expressions, distributions of the electric field components of these typical structured light beams are displayed and analyzed.
References
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Book•
01 Jan 1982
TL;DR: The most up-to-date resource available on antenna theory and design as mentioned in this paper provides an extended coverage of ABET design procedures and equations making meeting ABET requirements easy and preparing readers for authentic situations in industry.
Abstract: The most-up-to-date resource available on antenna theory and design Expanded coverage of design procedures and equations makes meeting ABET design requirements easy and prepares readers for authentic situations in industry New coverage of microstrip antennas exposes readers to information vital to a wide variety of practical applicationsComputer programs at end of each chapter and the accompanying disk assist in problem solving, design projects and data plotting-- Includes updated material on moment methods, radar cross section, mutual impedances, aperture and horn antennas, and antenna measurements-- Outstanding 3-dimensional illustrations help readers visualize the entire antenna radiation pattern
14,065 citations
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Abstract: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968. All material has been thoroughly updated and several new sections explore recent progress in important areas, such as wavelength modulation, analog information processing, and holography. Fourier analysis is a ubiquitous tool with applications in diverse areas of physics and engineering. This book explores these applications in the field of optics with a special emphasis on applications to diffraction, imaging, optical data processing, and holography. This book can be used as a textbook to satisfy the needs of several different types of courses, and it is directed toward both engineers ad physicists. By varying the emphasis on different topics and specific applications, the book can be used successfully in a wide range of basic Fourier Optics or Optical Signal Processing courses.
12,159 citations
Book•
01 Jan 1968
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Abstract: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968. All material has been thoroughly updated and several new sections explore recent progress in important areas, such as wavelength modulation, analog information processing, and holography. Fourier analysis is a ubiquitous tool with applications in diverse areas of physics and engineering. This book explores these applications in the field of optics with a special emphasis on applications to diffraction, imaging, optical data processing, and holography. This book can be used as a textbook to satisfy the needs of several different types of courses, and it is directed toward both engineers ad physicists. By varying the emphasis on different topics and specific applications, the book can be used successfully in a wide range of basic Fourier Optics or Optical Signal Processing courses.
9,800 citations
01 Jan 2005
TL;DR: The most up-to-date resource available on antenna theory and design is the IEEE 802.11 as mentioned in this paper, which provides detailed coverage of ABET design procedures and equations, making meeting ABET requirements easy and preparing readers for authentic situations in industry.
Abstract: The most-up-to-date resource available on antenna theory and design. Expanded coverage of design procedures and equations makes meeting ABET design requirements easy and prepares readers for authentic situations in industry. New coverage of microstrip antennas exposes readers to information vital to a wide variety of practical applications.Computer programs at end of each chapter and the accompanying disk assist in problem solving, design projects and data plotting.-- Includes updated material on moment methods, radar cross section, mutual impedances, aperture and horn antennas, and antenna measurements.-- Outstanding 3-dimensional illustrations help readers visualize the entire antenna radiation pattern.
2,907 citations