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Overcoming the diffraction limit by multi-photon interference: a tutorial 用多光子干涉克服衍射极限:教程
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2019-03-31 DOI: 10.1364/AOP.11.000215
J. Stöhr
The nature of light, extending from the optical to the x-ray regime, is reviewed from a diffraction point of view by comparing field-based statistical optics and photon-based quantum optics approaches. The topic is introduced by comparing historical diffraction concepts based on wave interference, Dirac’s notion of photon self-interference, Feynman’s interference of space–time photon probability amplitudes, and Glauber’s formulation of coherence functions based on photon detection. The concepts are elucidated by a review of how the semiclassical combination of the disparate photon and wave concepts have been used to describe light creation, diffraction, and detection. The origin of the fundamental diffraction limit is then discussed in both wave and photon pictures. By use of Feynman’s concept of probability amplitudes associated with independent photons, we show that quantum electrodynamics, the complete theory of light, reduces in lowest order to the conventional wave formalism of diffraction. As an introduction to multi-photon effects, we then review fundamental one- and two-photon experiments and detection schemes, in particular the seminal Hanbury Brown–Twiss experiment. The formal discourse of the paper starts with a treatment of first-order coherence theory. In first order, the statistical optics and quantum optics formulations of coherence are shown to be equivalent. This is elucidated by a discussion of Zernike’s powerful theorem of partial coherence propagation, a cornerstone of statistical optics, followed by its quantum derivation based on the interference of single-photon probability amplitudes. The treatment is then extended to second-order coherence theory, where the equivalence of wave and particle descriptions is shown to break down. This is illustrated by considering two photons whose space–time probability amplitudes are correlated through nonlinear birth processes, resulting in entanglement or cloning. In both cases, the two-photon diffraction patterns are shown to exhibit resolution below the conventional diffraction limit, defined by the one-photon diffraction patterns. The origin of the reduction is shown to arise from the interference of two-photon probability amplitudes. By comparing first- and second-order diffraction, it is shown that the conventional first-order concept of partial coherence with its limits of chaoticity and first-order coherence has the second-order analogue of partial entanglement, with its limits corresponding to two entangled photons (“entangled biphotons”) and two cloned photons (“cloned biphotons”), the latter being second-order coherent. The concept of cloned biphotons is extended to the case of n cloned photons, resulting in a 1/n reduction of the diffraction limit. In the limit of nth-order coherence, all photons within the nth-order collective state are shown to propagate on particle like trajectories, reproducing the 0th-order ray-optics picture. These results are discussed in terms of the li
通过比较基于场的统计光学和基于光子的量子光学方法,从衍射的角度回顾了从光学到x射线领域的光的性质。通过比较基于波干涉的历史衍射概念、狄拉克的光子自干涉概念、费曼的时空光子概率振幅干涉以及Glauber的基于光子检测的相干函数公式,介绍了该主题。这些概念是通过回顾不同光子和波概念的半经典组合如何被用于描述光的产生、衍射和检测来阐明的。然后在波和光子图片中讨论了基本衍射极限的起源。利用费曼关于与独立光子相关的概率振幅的概念,我们表明量子电动力学,即完整的光理论,以最低阶简化为传统的衍射波形式。作为多光子效应的介绍,我们随后回顾了基本的单光子和双光子实验和检测方案,特别是开创性的Hanbury-Brown–Twiss实验。本文的形式语篇从一阶连贯理论入手。在一阶中,相干的统计光学和量子光学公式是等价的。这是通过讨论Zernike的部分相干传播的强大定理来阐明的,该定理是统计光学的基石,然后是基于单光子概率振幅的干涉的量子推导。然后将该处理扩展到二阶相干理论,其中波和粒子描述的等价性被证明是崩溃的。这可以通过考虑两个光子来说明,这两个光子的时空概率幅度通过非线性生成过程相互关联,从而导致纠缠或克隆。在这两种情况下,双光子衍射图案显示出低于由单光子衍射图案定义的常规衍射极限的分辨率。减少的起源被证明是由双光子概率振幅的干扰引起的。通过比较一阶和二阶衍射,表明传统的一阶部分相干概念及其混沌性和一阶相干的极限具有部分纠缠的二阶相似性,其极限对应于两个纠缠光子(“纠缠双光子”)和两个克隆光子(“克隆双光子”,后者是二阶相干的。克隆双光子的概念被扩展到n个克隆光子的情况,导致衍射极限降低1/n。在n阶相干的极限下,n阶集体态内的所有光子都显示为在类粒子轨迹上传播,再现了0阶射线光学图像。这些结果是根据量子力学的线性和海森堡的空间-动量不确定性原理进行讨论的。提出了基于光子密度的相干性的一般概念,其一阶等效于传统的基于波的图像。
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引用次数: 13
Resolution enhancement in quantitative phase microscopy 定量相显微镜的分辨率增强
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2019-03-31 DOI: 10.1364/AOP.11.000135
V. Micó, Juanjuan Zheng, Javier García, Z. Zalevsky, P. Gao
Quantitative phase microscopy (QPM), a technique combining phase imaging and microscopy, enables visualization of the 3D topography in reflective samples, as well as the inner structure or refractive index distribution of transparent and translucent samples. Similar to other imaging modalities, QPM is constrained by the conflict between numerical aperture (NA) and field of view (FOV): an imaging system with a low NA has to be employed to maintain a large FOV. This fact severely limits the resolution in QPM up to 0.82λ/NA, λ being the illumination wavelength. Consequently, finer structures of samples cannot be resolved by using modest NA objectives in QPM. Aimed to that, many approaches, such as oblique illumination, structured illumination, and speckle illumination (just to cite a few), have been proposed to improve the spatial resolution (or the space–bandwidth product) in phase microscopy by restricting other degrees of freedom (mostly time). This paper aims to provide an up-to-date review on the resolution enhancement approaches in QPM, discussing the pros and cons of each technique as well as the confusion on resolution definition claims on QPM and other coherent microscopy methods. Through this survey, we will review the most appealing and useful techniques for superresolution in coherent microscopy, working with and without lenses and with special attention to QPM. Note that, throughout this review, with the term “superresolution” we denote enhancing the resolution to surpass the limit imposed by diffraction and proportional to λ/NA, rather than the physics limit λ/(2n med ), with n med being the refractive index value of the immersion medium.
定量相位显微镜(QPM)是一种相成像与显微镜相结合的技术,可以可视化反射样品的三维形貌,以及透明和半透明样品的内部结构或折射率分布。与其他成像方式类似,QPM受到数值孔径(NA)和视场(FOV)之间冲突的限制:必须采用低NA的成像系统来保持大的视场。这一事实严重限制了QPM的分辨率高达0.82λ/NA, λ为照明波长。因此,在QPM中使用适度的NA物镜无法分辨样品的精细结构。针对这一点,许多方法,如倾斜照明,结构照明和散斑照明(仅举几例),已经提出了提高空间分辨率(或空间带宽产品)在相位显微镜通过限制其他自由度(主要是时间)。本文综述了QPM中分辨率增强方法的最新进展,讨论了每种技术的优缺点,以及QPM和其他相干显微镜方法在分辨率定义要求上的混淆。通过这一调查,我们将回顾在相干显微镜中最有吸引力和最有用的超分辨率技术,使用和不使用透镜,并特别关注QPM。请注意,在整个回顾中,我们用“超分辨率”一词表示提高分辨率以超过衍射所施加的极限,并与λ/NA成正比,而不是物理极限λ/(2n med),其中n med为浸没介质的折射率值。
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引用次数: 45
Quantum plasmonics: new opportunity in fundamental and applied photonics: publisher’s note 量子等离子体:基础光子学和应用光子学的新机遇:出版商笔记
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-11-30 DOI: 10.1364/AOP.10.000939
Da Xu, X. Xiong, Lin Wu, Xifeng Ren, C. Png, G. Guo, Q. Gong, Yun-Feng Xiao
This publisher’s note corrects errors in the funding and references of Adv. Opt. Photon.10, 703 (2018)AOPAC71943-820610.1364/AOP.10.000703.
本出版商的说明更正了Adv.Opt的资金和参考文献中的错误。光子10703(2018)AOPAC71943-820610.1364/AOP.10.00703。
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引用次数: 1
Toward real-time terahertz imaging 走向实时太赫兹成像
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-11-15 DOI: 10.1364/AOP.10.000843
H. Guerboukha, K. Nallappan, M. Skorobogatiy
Terahertz (THz) science and technology have greatly progressed over the past two decades to a point where the THz region of the electromagnetic spectrum is now a mature research area with many fundamental and practical applications. Furthermore, THz imaging is positioned to play a key role in many industrial applications, as THz technology is steadily shifting from university-grade instrumentation to commercial systems. In this context, the objective of this review is to discuss recent advances in THz imaging with an emphasis on the modalities that could enable real-time high-resolution imaging. To this end, we first discuss several key imaging modalities developed over the years: THz transmission, reflection, and conductivity imaging; THz pulsed imaging; THz computed tomography; and THz near-field imaging. Then, we discuss several enabling technologies for real-time THz imaging within the time-domain spectroscopy paradigm: fast optical delay lines, photoconductive antenna arrays, and electro-optic sampling with cameras. Next, we discuss the advances in THz cameras, particularly THz thermal cameras and THz field-effect transistor cameras. Finally, we overview the most recent techniques that enable fast THz imaging with single-pixel detectors: mechanical beam-steering, compressive sensing, spectral encoding, and fast Fourier optics. We believe that this critical and comprehensive review of enabling hardware, instrumentation, algorithms, and potential applications in real-time high-resolution THz imaging can serve a diverse community of fundamental and applied scientists.
在过去的二十年里,太赫兹(THz)科学技术取得了巨大的进步,电磁波谱的太赫兹区域现在是一个成熟的研究领域,具有许多基础和实际应用。此外,太赫兹成像将在许多工业应用中发挥关键作用,因为太赫兹技术正稳步从大学级仪器转向商业系统。在此背景下,本综述的目的是讨论太赫兹成像的最新进展,重点是能够实现实时高分辨率成像的模式。为此,我们首先讨论了多年来发展起来的几种关键成像模式:太赫兹透射、反射和电导率成像;太赫兹脉冲成像;太赫兹计算机断层扫描;太赫兹近场成像。然后,我们讨论了时域光谱模式下实时太赫兹成像的几种使能技术:快速光延迟线,光导天线阵列和相机电光采样。接下来,我们讨论了太赫兹相机的进展,特别是太赫兹热像仪和太赫兹场效应晶体管相机。最后,我们概述了使用单像素探测器实现快速太赫兹成像的最新技术:机械波束转向,压缩感知,光谱编码和快速傅立叶光学。我们相信,对实时高分辨率太赫兹成像的硬件、仪器、算法和潜在应用的关键和全面的回顾,可以为基础和应用科学家的多样化社区服务。
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引用次数: 233
Subwavelength interference of light on structured surfaces 光在结构表面上的亚波长干涉
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-11-13 DOI: 10.1364/AOP.10.000757
Xian-shu Luo, Dinping Tsai, M. Gu, M. Hong
This paper presents a review of the subwavelength interference effects of light in structured surfaces. Starting from the anomalous interference in simple structures such as double nanoslits, thin films, and catenary apertures, the theories and applications of light–matter interaction in layered, periodic, and aperiodic subwavelength structures are discussed. Two basic platforms, i.e., Young’s double slits and the Fabry–Perot cavity, are used as prototypes for the investigation of the complex interference of surface waves. It is shown that these novel phenomena could dramatically reduce the characteristic lengths of functional devices and increase the resolution of optical imaging. By engineering the dispersion of surface waves, broadband responses beyond traditional limits in both temporal and spatial regimes have been demonstrated. As a final remark, the current challenges and future trends of subwavelength interference engineering are addressed.
本文综述了光在结构表面中的亚波长干涉效应。从双纳米片、薄膜和悬链线孔径等简单结构中的异常干涉入手,讨论了层状、周期性和非周期性亚波长结构中光-物质相互作用的理论和应用。两个基本平台,即杨氏双缝和法布里-珀罗腔,被用作研究表面波复杂干涉的原型。结果表明,这些新现象可以显著缩短功能器件的特征长度,提高光学成像的分辨率。通过设计表面波的色散,已经证明了在时间和空间范围内超过传统限制的宽带响应。最后,讨论了亚波长干涉工程的当前挑战和未来趋势。
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引用次数: 59
Quantum plasmonics: new opportunity in fundamental and applied photonics 量子等离子体:基础和应用光子学的新机遇
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-10-12 DOI: 10.1364/AOP.10.000703
Da Xu, X. Xiong, Lin Wu, Xifeng Ren, C. Png, G. Guo, Q. Gong, Yun-Feng Xiao
Surface plasmons allow electromagnetic fields to be confined to subwavelength scale, well beyond the classical optical diffraction limit. With continuous reduction of optical mode volume into the deep subwavelength scale, a new era of quantum plasmonics opens up that investigates the quantum behavior of surface plasmons and their interactions with matter. This emerging and exciting field creates many new opportunities in advancing the boundaries of fundamental science and applied quantum technology. This review covers recent breakthroughs from three unique and important perspectives: the fundamental quantum properties of plasmon-polaritons, plasmon-polaritons interacting with quantum emitters, and plasmon-polaritons stepping into quantum technology. A clear development map of quantum plasmonics is also established for the reader.
表面等离子体使电磁场被限制在亚波长范围内,远远超出了经典光学衍射极限。随着光学模体积不断减小到深亚波长尺度,研究表面等离子体的量子行为及其与物质相互作用的量子等离子体学的新时代开启了。这个新兴和令人兴奋的领域在推进基础科学和应用量子技术的边界方面创造了许多新的机会。本文从等离子体-极化子的基本量子特性、等离子体-极化子与量子发射体的相互作用以及等离子体-极化子进入量子技术这三个独特而重要的角度综述了最近的突破。为读者建立了一个清晰的量子等离子体动力学发展图。
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引用次数: 68
Fundamentals of 3D imaging and displays: a tutorial on integral imaging, light-field, and plenoptic systems 3D成像和显示的基础知识:关于整体成像,光场和全光学系统的教程
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-09-30 DOI: 10.1364/AOP.10.000512
M. Martínez-Corral, B. Javidi
There has been great interest in researching and implementing effective technologies for the capture, processing, and display of 3D images. This broad interest is evidenced by widespread international research and activities on 3D technologies. There is a large number of journal and conference papers on 3D systems, as well as research and development efforts in government, industry, and academia on this topic for broad applications including entertainment, manufacturing, security and defense, and biomedical applications. Among these technologies, integral imaging is a promising approach for its ability to work with polychromatic scenes and under incoherent or ambient light for scenarios from macroscales to microscales. Integral imaging systems and their variations, also known as plenoptics or light-field systems, are applicable in many fields, and they have been reported in many applications, such as entertainment (TV, video, movies), industrial inspection, security and defense, and biomedical imaging and displays. This tutorial is addressed to the students and researchers in different disciplines who are interested to learn about integral imaging and light-field systems and who may or may not have a strong background in optics. Our aim is to provide the readers with a tutorial that teaches fundamental principles as well as more advanced concepts to understand, analyze, and implement integral imaging and light-field-type capture and display systems. The tutorial is organized to begin with reviewing the fundamentals of imaging, and then it progresses to more advanced topics in 3D imaging and displays. More specifically, this tutorial begins by covering the fundamentals of geometrical optics and wave optics tools for understanding and analyzing optical imaging systems. Then, we proceed to use these tools to describe integral imaging, light-field, or plenoptics systems, the methods for implementing the 3D capture procedures and monitors, their properties, resolution, field of view, performance, and metrics to assess them. We have illustrated with simple laboratory setups and experiments the principles of integral imaging capture and display systems. Also, we have discussed 3D biomedical applications, such as integral microscopy.
人们对研究和实现捕获、处理和显示3D图像的有效技术非常感兴趣。国际上对3D技术的广泛研究和活动证明了这种广泛的兴趣。有大量关于3D系统的期刊和会议论文,以及政府、工业和学术界对该主题的研究和开发工作,包括娱乐、制造、安全和国防以及生物医学应用等广泛应用。在这些技术中,积分成像是一种很有前途的方法,因为它能够在多色场景和从宏观尺度到微观尺度的非相干或环境光下工作。集成成像系统及其变体,也称为全光学或光场系统,适用于许多领域,并且已经在许多应用中得到报道,例如娱乐(电视,视频,电影),工业检查,安全和国防以及生物医学成像和显示。本教程是针对不同学科的学生和研究人员,他们有兴趣了解积分成像和光场系统,并且可能或可能没有光学方面的强大背景。我们的目标是为读者提供一个教程,教授基本原理以及更先进的概念来理解,分析和实现集成成像和光场型捕获和显示系统。该教程组织与审查成像的基础开始,然后它进展到3D成像和显示更高级的主题。更具体地说,本教程开始覆盖的基础几何光学和波光学工具的理解和分析光学成像系统。然后,我们继续使用这些工具来描述整体成像、光场或全光学系统、实现3D捕获程序和监视器的方法、它们的属性、分辨率、视野、性能和评估它们的指标。我们用简单的实验室设置和实验说明了集成成像捕获和显示系统的原理。此外,我们还讨论了3D生物医学应用,如整体显微镜。
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引用次数: 188
Optics technology for large-aperture space telescopes: from fabrication to final acceptance tests 大口径空间望远镜光学技术:从制造到最终验收试验
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-08-28 DOI: 10.1364/AOP.10.000644
I. Trumper, P. Hallibert, Jonathan, W., Arenberg, H. Kunieda, O. Guyon, H., Philip Stahl, Dae Wook Kim
This review paper addresses topics of fabrication, testing, alignment, and as-built performance of reflective space optics for the next generation of telescopes across the x-ray to far-infrared spectrum. The technology presented in the manuscript represents the most promising methods to enable a next level of astronomical observation capabilities for space-based telescopes as motivated by the science community. While the technology to produce the proposed telescopes does not exist in its final form, the optics industry is making steady and impressive progress toward these goals across all disciplines. We hope that through sharing these developments in context of the science objectives, further connections and improvements are enabled to push the envelope of the technology.
本文综述了用于下一代x射线到远红外光谱望远镜的反射空间光学系统的制造、测试、校准和建成性能。在科学界的推动下,手稿中提出的技术代表了最有前途的方法,可以使天基望远镜的天文观测能力提高到一个新的水平。虽然制造这种望远镜的技术还没有最终成型,但光学工业正朝着这些目标在所有学科领域取得稳定而令人印象深刻的进展。我们希望通过在科学目标的背景下分享这些发展,进一步的联系和改进能够推动技术的发展。
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引用次数: 30
Low-operating-energy directly modulated lasers for short-distance optical interconnects 用于短距离光互连的低工作能量直接调制激光器
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-08-14 DOI: 10.1364/AOP.10.000567
S. Matsuo, T. Kakitsuka
We review recent developments in directly modulated lasers (DMLs) with low operating energy for datacom and computercom applications. Key issues are their operating energy and the cost for employing them in these applications. To decrease the operating energy, it is important to reduce the active volume of the laser while maintaining the cavity Q-factor or photon lifetime in the cavity. Therefore, how to achieve high-reflectivity mirrors has been the main challenge in reducing the operating energy. In terms of the required output power from the lasers, the required input power into the photodetector and the transmission distance determine the lower limit of laser active volume. Therefore, the operating energy and output power are in a trade-off relationship. In designing the lasers, the cavity volume, quantum well number, and optical confinement factor are critical parameters. For reducing the cost, it is important to fabricate a large-scale photonic integrated circuit (PIC) comprising DMLs, an optical multiplexer, and monitor photodetectors because the lower assembly cost reduces the overall cost. In this context, silicon (Si) photonics technology plays a key role in fabricating large-scale PICs with low cost, and heterogeneous integration of DMLs and Si photonics devices has attracted much attention. We will describe fabrication technologies for heterogeneous integration and experimental results for DMLs on a Si substrate.
我们综述了用于数据通信和计算机通信应用的低工作能量直接调制激光器(DML)的最新发展。关键问题是它们的操作能量和在这些应用中使用它们的成本。为了降低工作能量,重要的是在保持腔中的腔Q因子或光子寿命的同时减少激光器的有效体积。因此,如何实现高反射率反射镜一直是降低工作能量的主要挑战。就激光器所需的输出功率而言,进入光电探测器所需的输入功率和传输距离决定了激光器有效体积的下限。因此,工作能量和输出功率处于权衡关系中。在设计激光器时,腔体积、量子阱数和光学约束因子是关键参数。为了降低成本,制造包括DML、光学多路复用器和监控光电探测器的大规模光子集成电路(PIC)是重要的,因为较低的组装成本降低了总成本。在这种背景下,硅(Si)光子学技术在低成本制造大规模PICs方面发挥着关键作用,DML和Si光子学器件的异质集成备受关注。我们将描述异质集成的制造技术和硅衬底上DML的实验结果。
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引用次数: 41
Nonimaging optics: a tutorial 非成像光学:教程
IF 27.1 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2018-06-30 DOI: 10.1364/AOP.10.000484
R. Winston, Lun Jiang, Melissa N. Ricketts
Nonimaging optics is the theory of thermodynamically efficient optics and as such, depends more on thermodynamics than on optics. Historically, nonimaging optics that work as ideal concentrators have been discovered through such heuristic ideas as “edge ray involutes,” “string method,” “simultaneous multiple surface,” and “tailored edge ray concentrator,” without a consistent theoretical definition of what “ideal” means. In this tutorial, we provide a thermodynamic perspective of nonimaging optical designs to shine light on the commonality of all these designing ideas, or what “ideal” nonimaging design means. Hence, in this paper, a condition for the “best” design is proposed based purely on thermodynamic arguments, which we believe have profound consequences. Thermodynamics may also be the most intuitive way for a reader who is new to this subject to understand or study it within a certain framework, instead of learning from sporadic designing methodologies. This way of looking at the problem of efficient concentration and illumination depends on probabilities, the ingredients of entropy, and information theory, while “optics” in the conventional sense recedes into the background. We attempt to link the key concept of nonimaging optics, etendue, with the radiative heat transfer concept of view factor, which may be more familiar to some readers. However, we do not want to limit the readers to a single thermodynamic understanding of this subject. Therefore, two alternative perspectives of nonimaging optics will also be introduced and used throughout the tutorial: the definition of a nonimaging optics design according to the Hilbert integral, and the phase space analysis of the ideal design. The tutorial will be organized as follows: Section 1 highlights the difference between nonimaging and imaging optics, Section 2 describes the thermodynamic understanding of nonimaging optics, Section 3 presents the alternative phase space representation of nonimaging optics, Section 4 describes the most basic nonimaging designs using Hottel’s strings, Section 5 discusses the geometric flow line designing method, and Section 6 summarizes the various concepts of nonimaging optics.
非成像光学是热力学有效光学的理论,因此它更多地依赖于热力学而不是光学。从历史上看,作为理想聚光器的非成像光学是通过诸如“边缘光线渐开线”、“弦法”、“同时多个表面”和“定制边缘光线聚光器”等启发式思想发现的,没有对“理想”的含义进行一致的理论定义。在本教程中,我们提供非成像光学设计的热力学视角,以阐明所有这些设计思想的共性,或者“理想”的非成像设计意味着什么。因此,在本文中,“最佳”设计的条件是基于纯粹的热力学论据提出的,我们相信这有深远的影响。对于初学这门学科的读者来说,热力学也可能是在特定框架内理解或研究它的最直观的方式,而不是从零星的设计方法中学习。这种看待有效集中和照明问题的方式取决于概率、熵的成分和信息论,而传统意义上的“光学”则退隐到背景中。我们试图将非成像光学的关键概念与一些读者可能更熟悉的视点因子的辐射传热概念联系起来。然而,我们不希望限制读者对这个主题的单一热力学理解。因此,非成像光学的两种替代观点也将在整个教程中介绍和使用:根据希尔伯特积分的非成像光学设计的定义,以及理想设计的相空间分析。本教程将组织如下:第1节强调非成像和成像光学之间的区别,第2节描述了非成像光学的热力学理解,第3节介绍了非成像光学的替代相空间表示,第4节描述了使用hotel 's弦的最基本的非成像设计,第5节讨论了几何流线设计方法,第6节总结了非成像光学的各种概念。
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引用次数: 17
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