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CRC Press eBooks

Coherent and Incoherent Radiation

Yanhua H. Shih

Published Dec 16, 2020• 0 citations
Publisher

Abstract

This chapter introduces the concept of coherence and discuss the coherent property of radiation. The author starts from Einstein’s granularity picture of light to introduce two category of superpositions in terms of Einstein’s subfields and Maxwell’s Fourier-modes. Einstein’s picture of light is still in the framework of electromagnetic theory of radiation, except the concept of “bundle of ray” added additional freedom to the superposition of Fourier mode. The physics the authors consider now is the coherent or incoherent superposition among these subfields that are created from these spatially separated sub-sources. If these subfields are able to superpose coherently people consider the radiation spatially coherent; otherwise, the radiation is spatially incoherent. It is interesting to see the similarities between temporal wavepacket in the longitudinal dimension and the spatial wavepacket in the transverse dimension. The temporal coherence of the radiation produces temporal wavepackets, implying temporal constructive-destructive interference; and the spatial coherence of the radiation results in spatial wavepackets, implying spatial constructive-destructive interference.

DOI
10.1201/9781003130604-5

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摘要 本文的主要目的在综合评述近年来在光的相干性方面研究的成就。表明光子简并度和相干度等在有关问题中起重要作用,诸如干涉、拍频、强度起伏等。由于辐射过程的随机性质,拍频信号的强度由过程的相关度决定;由于光子是玻色子,这就决定了强度起伏中有相关项。从已有实验结果看来,光的相于性完全可从量子力学的基础概念得到解释。 Abstract In this paper, recent advances in the research of coherence properties of electromagnetic radiation are discussed. Using the conception of photon degeneracy and degree of coherence the author is able to explain many problems such as light mixing, intensity fluctuations and the properties of coherent light source. Since the occurrence of radiation process is at random, the intensity of the signal generated by the mixing of different sources can be determined by the correlation of radiation processes as derived in the present paper. Regarding photons as bosons, the phenomena "intensity interferense" is explained as quantum fluctuations. The coherence properties of radiation may thus be interpreted well on the basic conception of quantum machanics. 作者及机构信息 王之江 Authors and contacts WANG CHIH-CHIANG 参考文献 [1] 施引文献

Acta Physica Sinica•Jan 1, 1963•1 citation
This chapter introduces the concept of coherence and discuss the coherent property of radiation. The author starts from Einstein’s granularity picture of light to introduce two category of superpositions in terms of Einstein’s subfields and Maxwell’s Fourier-modes. Einstein’s picture of light is still in the framework of electromagnetic theory of radiation, except the concept of “bundle of ray” added additional freedom to the superposition of Fourier mode. The physics the authors consider now is the coherent or incoherent superposition among these subfields that are created from these spatially separated sub-sources. If these subfields are able to superpose coherently people consider the radiation spatially coherent; otherwise, the radiation is spatially incoherent. It is interesting to see the similarities between temporal wavepacket in the longitudinal dimension and the spatial wavepacket in the transverse dimension. The temporal coherence of the radiation produces temporal wavepackets, implying temporal constructive-destructive interference; and the spatial coherence of the radiation results in spatial wavepackets, implying spatial constructive-destructive interference.
For the nondispersive propagation of waves in one dimension, there is no essential difference between the concepts of longitudinal and temporal coherence, and these terms are often used interchangeably. For the dispersive propagation of waves, such as electrons or neutrons in vacuo, or light in a medium, this is no longer the case. We analyze the coherence properties of a dispersively propagating beam of radiation, and discuss the observation of its spatial and temporal coherence properties by means of a two-beam interferometer.
The electromagnetic correlation tensors of second order is calculated for a superposition of a single coherent mode and blackbody radiation, using Glauber's formula for the density operator of superimposed multi-mode fields. In order to investigate the temporal coherence of this particular radiation, upon restricting to the electric correlation tensors, the complex degree of coherence is evaluated at various temperatures of blackbody radiation. The results are shown in several figures. For comparison the complex degree of coherence of blackbody radiation is also shown in the figure.
This article presents a review of coherence properties of electromagnetic fields and their measurements, with special emphasis on the optical region of the spectrum. Analyses based on both the classical and quantum theories are described. After a brief historical introduction, the elementary concepts which are frequently employed in the discussion of interference phenomena are summarized. The measure of second-order coherence is then introduced in connection with the analysis of a simple interference experiment and some of the more important second-order coherence effects are studied. Their uses in stellar interferometry and interference spectroscopy are described. Analysis of partial polarization from the standpoint of correlation theory is also outlined. The general statistical description of the field is discussed in some detail. The recently discovered universal "diagonal" representation of the density operator for free fields is also considered and it is shown how, with the help of the associated generalized phase-space distribution function, the quantum-mechanical correlation functions may be expressed in the same form as the classical ones. The sections which follow deal with the statistical properties of thermal and nonthermal light, and with the temporal and spatial coherence of blackbody radiation. Later sections, dealing with fourth- and higher-order coherence effects include a discussion of the photoelectric detection process. Among the fourth-order effects described in detail are bunching phenomena, the Hanbury Brown-Twiss effect and its application to astronomy. The article concludes with a discussion of various transient superposition effects, such as light beats and interference fringes produced by independent light beams.
Electromagnetic Wave Theory and Measurement of Light Electromagnetic Wave Theory of Light Classical Superposition Measurement of Light Intensity of Light: Expectation and Fluctuation Measurement of Intensity: Ensemble Average and Time Average Coherence Property of Light-The State of the Radiation Coherence Property of Light Temporal Coherence Spatial Coherence Diffraction and Propagation Diffraction Field Propagation Optical Imaging A Classic Imaging System Fourier Transform via a Lens First-Order Coherence of Light First-Order Temporal Coherence First-Order Spatial Coherence Second-Order Coherence of Light Second-Order Coherence of Coherent Light Second-Order Correlation of Chaotic-Thermal Radiation and the HBT Interferometer The Physical Cause of the HBT Phenomenon Near-Field Second-Order Spatial Coherence of Thermal Light Nth-Order Coherence of Light Nth-Order Near-Field Spatial Coherence of Thermal Light Homodyne Detection and Heterodyne Detection of Light Optical Homodyne and Heterodyne Detection Balanced Homodyne and Heterodyne Detection Balanced Homodyne Detection of Independent and Coupled Thermal Fields Quantum Theory of Light: Field Quantization and Measurement The Experimental Foundation-Part I: Blackbody Radiation The Experimental Foundation-Part II: Photoelectric Effect The Light Quantum and the Field Quantization Photon Number State of Radiation Field Coherent State of Radiation Field Density Operator and Density Matrix Composite System and Two-Photon State of Radiation Field A Simple Model of Incoherent and Coherent Radiation Source Pure State and Mixed State Product State, Entangled State, and Mixed State of Photon Pairs Time-Dependent Perturbation Theory Measurement of Light: Photon Counting Measurement of Light: Joint Detection of Photons Field Propagation in Space-Time Quantum Theory of Optical Coherence Quantum Degree of First-Order Coherence Photon and Effective Wavefunction Measurement of the First-Order Coherence or Correlation Quantum Degree of Second-Order Coherence Two-Photon Interference vs. Statistical Correlation of Intensity Fluctuations Second-Order Spatial Correlation of Thermal Light Photon Counting and Measurement of G(2) Quantum Entanglement EPR Experiment and EPR State Product State, Entangled State, and Classically Correlated State Entangled States in Spin Variables Entangled Biphoton State EPR Correlation of Entangled Biphoton System Subsystem in an Entangled Two-Photon State Biphoton in Dispersive Media Quantum Imaging Biphoton Imaging Ghost Imaging Ghost Imaging and Uncertainty Relation Thermal Light Ghost Imaging Classical Simulation of Ghost Imaging Turbulence-Free Ghost Imaging Two-Photon Interferometry I: Biphoton Interference Is Two-Photon Interference the Interference of Two Photons? Two-Photon Interference with Orthogonal Polarization Franson Interferometer Two-Photon Ghost Interference Delayed Choice Quantum Eraser Two-Photon Interferometry II: Quantum Interference of Chaotic Light Two-Photon Young's Interference Two-Photon Anticorrelation with Incoherent Chaotic Light Two-Photon Interference with Incoherent Orthogonal Polarized Chaotic Light Bell's Theorem and Bell's Inequality Measurement Hidden Variable Theory and Quantum Calculation for the Measurement of Spin 1/2 Bohm State Bell's Theorem and Bell's Inequality Bell States Bell State Preparation
The interference phenomenon of light is a common but most important effect in physics. In this article, we compare and analyse the interference effects of both coherent and incoherent light; in particular, the interference of spatially incoherent light sources is described. Thermal light and a two-photon entangled source may both be regarded as incoherent sources which can generate similar second-order interference effects, but their underlying physics is quite different. First-order interference can be realized with both spatially coherent and incoherent sources in the same well-designed experimental setup, but exhibit different interference patterns; their different interference mechanisms will also be clarified.
摘要 本文的主要目的在综合评述近年来在光的相干性方面研究的成就。表明光子简并度和相干度等在有关问题中起重要作用,诸如干涉、拍频、强度起伏等。由于辐射过程的随机性质,拍频信号的强度由过程的相关度决定;由于光子是玻色子,这就决定了强度起伏中有相关项。从已有实验结果看来,光的相于性完全可从量子力学的基础概念得到解释。 Abstract In this paper, recent advances in the research of coherence properties of electromagnetic radiation are discussed. Using the conception of photon degeneracy and degree of coherence the author is able to explain many problems such as light mixing, intensity fluctuations and the properties of coherent light source. Since the occurrence of radiation process is at random, the intensity of the signal generated by the mixing of different sources can be determined by the correlation of radiation processes as derived in the present paper. Regarding photons as bosons, the phenomena "intensity interferense" is explained as quantum fluctuations. The coherence properties of radiation may thus be interpreted well on the basic conception of quantum machanics. 作者及机构信息 王之江 Authors and contacts WANG CHIH-CHIANG 参考文献 [1] 施引文献