Inverse Canonical Energy Flow in Laser Beams
暫譯: 激光束中的反向典範能量流動
Kotlyar, Victor, Kovalev, Alexey, Stafeev, Sergey
商品描述
This book examines two-dimensional light fields (sinc-beams, Airy beams, Hankel beams, and Bessel beams with fractional order), in which the reverse energy flow is formed near isolated intensity nulls. That is, near those points where the energy (power) density is zero. A reverse canonical energy flow has also been found in three-dimensional nonparaxial vector light fields with linear, azimuthal, and hybrid polarizations. The reverse energy flow is formed in the near field, in the presence of evanescent waves, as well as in the region of a sharp focus, where there is no evanescent wave. Interestingly, the reverse energy flow takes place in the near field of a Hertzian linear point dipole. This book is devoted to an interesting and largely unexplored effect in optics: the reverse energy flow of light. It examines two-dimensional and three-dimensional nonparaxial vector light fields, in which a reverse canonical energy flow is formed in certain spatial regions. The propagation of coherent monochromatic light is described in several ways: by decomposition into a plane-wave spectrum and by Rayleigh-Sommerfeld vector integrals. Projections of the electric vector in a sharp focus are described using Richards-Wolf theory and Debye integrals. The book presents precise analytical expressions for the longitudinal projections of the canonical energy flow vector, which strictly prove the presence of a reverse flow in the light fields under consideration. The book includes the results that the authors obtained in 2024-2025. The book will be of interest to a wide range of scientists, engineers working in the field of optics, photonics, laser physics, opto-information technologies, and optical instrumentation. It can also be useful for bachelors and masters in the specialties applied mathematics and physics, applied mathematics and informatics, optics and graduate students specializing in these areas.
商品描述(中文翻譯)
本書探討二維光場（sinc-beams、Airy beams、Hankel beams 和具有分數階的 Bessel beams），在這些光場中，反向能量流在孤立的強度零點附近形成。也就是說，在那些能量（功率）密度為零的點附近。反向典範能量流也已在三維非平行光矢量光場中發現，這些光場具有線性、方位和混合極化。反向能量流在近場中形成，存在於衰減波的情況下，以及在尖銳聚焦的區域，該區域沒有衰減波。有趣的是，反向能量流發生在赫茲線性點偶極子的近場中。本書致力於光學中一個有趣且大多數未被探索的效應：光的反向能量流。它探討二維和三維非平行光矢量光場，在這些光場中，某些空間區域形成反向典範能量流。連續單色光的傳播以幾種方式描述：通過分解為平面波譜和通過 Rayleigh-Sommerfeld 矢量積分。尖銳聚焦中的電矢量投影使用 Richards-Wolf 理論和 Debye 積分進行描述。本書提供了典範能量流矢量的縱向投影的精確解析表達式，這些表達式嚴格證明了所考慮的光場中存在反向流。本書包括作者在 2024-2025 年獲得的結果。本書將對廣泛的科學家和工程師感興趣，特別是那些在光學、光子學、激光物理、光信息技術和光學儀器領域工作的專業人士。對於應用數學和物理、應用數學和資訊學、光學等專業的學士和碩士生，以及專注於這些領域的研究生，本書也將是有用的。
作者簡介
Victor Kotlyar is Head of the Laboratory at Image Processing Systems Institute of the National Research Center "Kurchatov Institute" and Professor of computer science at Samara National Research University. He received his M.S., Ph.D., and Dr.Sc. degrees in physics and mathematics from Samara State University (1979), Saratov State University (1988), and Moscow Central Design Institute of Unique Instrumentation, the Russian Academy of Sciences (1992). He is Co-Author of 400 scientific papers, 10 books, and 7 inventions. His current interests are diffractive optics and singular optics.
Alexey Kovalev has graduated (2002) from Samara National Research University, majoring in Applied Mathematics. He received his doctor in physics and maths degree in 2012. He is Senior Researcher of Laser Measurements Laboratory at Image Processing Systems Institute of the National Research Center "Kurchatov Institute" and Associate Professor of computer science at Samara National Research University. He is Co-Author of more than 270 scientific papers and 4 book. His research interests are mathematical diffraction theory and optical vortices.
Sergey Stafeev (b. 1985) received master's degree in applied mathematics and physics in Samara National Research University (2009). He received his Ph.D. in 2012. He is Researcher of Laser Measurements Laboratory at the Image Processing Systems Institute, NRC "Kurchatov Institute." His scientific interests include diffractive optics, nonuniform polarization, tight focusing.
作者簡介(中文翻譯)
Victor Kotlyar 是國家研究中心「庫爾恰托夫研究所」影像處理系統研究所的實驗室負責人，以及薩馬拉國立研究大學的計算機科學教授。他於1979年在薩馬拉國立大學獲得物理和數學碩士學位，1988年在薩拉托夫國立大學獲得博士學位，1992年在俄羅斯科學院莫斯科中央獨特儀器設計研究所獲得科學博士學位。他是400篇科學論文、10本書籍和7項發明的共同作者。他目前的研究興趣包括衍射光學和奇異光學。
Alexey Kovalev 於2002年畢業於薩馬拉國立研究大學，主修應用數學。他於2012年獲得物理和數學博士學位。他是國家研究中心「庫爾恰托夫研究所」激光測量實驗室的高級研究員，以及薩馬拉國立研究大學的計算機科學副教授。他是超過270篇科學論文和4本書籍的共同作者。他的研究興趣包括數學衍射理論和光學漩渦。
Sergey Stafeev（生於1985年）於2009年在薩馬拉國立研究大學獲得應用數學和物理的碩士學位。他於2012年獲得博士學位。他是國家研究中心「庫爾恰托夫研究所」影像處理系統研究所激光測量實驗室的研究員。他的科學興趣包括衍射光學、不均勻偏振和緊聚焦。
