|
|
|
Discrete wavelet structure and discrete energy of classical plane light waves |
| Xing-Chu Zhang(张兴初)1 and Wei-Long She(佘卫龙)2,3,† |
1 Department of Physics and Information Engineering, Guangdong University of Education, Guangzhou 510303, China;
2 School of Physics, Sun Yat-Sen University, Guangzhou 510275, China;
3 Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-Sen University, Zhuhai 519082, China
|
|
|
|
|
Abstract We find by the wavelet transform that the classical plane light wave of linear polarization can be decomposed into a series of discrete Morlet wavelets. In the theoretical frame, the energy of the classical light wave becomes discrete; interestingly, the discretization is consistent with the energy division of P portions in Planck radiation theory, where P is an integer. It is shown that the changeable energy of a basic plane light wave packet or wave train is $H_0k =np_0k \omega (n=1, 2, 3, \ldots; k=\vert k\vert$), with discrete wavelet structure parameter n, wave vector k and idler frequency ω , and a constant p0k. The wave-particle duality from the Mach-Zehnder interference of single photons is simulated by using random basic plane light wave packets.
|
Received: 05 July 2020
Revised: 10 November 2020
Accepted manuscript online: 01 December 2020
|
|
PACS:
|
03.50.De
|
(Classical electromagnetism, Maxwell equations)
|
| |
42.50.-p
|
(Quantum optics)
|
|
|
Corresponding Authors:
†Corresponding author. E-mail: shewl@mail.sysu.edu.cn
|
Cite this article:
Xing-Chu Zhang(张兴初) and Wei-Long She(佘卫龙) Discrete wavelet structure and discrete energy of classical plane light waves 2021 Chin. Phys. B 30 040301
|
1 Wheaton B R1983 The Tiger and the Shark-Empirical Roots of Waveparticle Dualism (Cambridge: Cambridge University Press) pp. 263-309
2 Greenstein G and Zajonc A G2005 The Quantum Challenge-Modern Research on the Foundations of Quantum (2nd edn.) (Boston: Jones and Bartlett Publishers) pp. 22-42
3 Einstein A 1905 Ann. D. Phys. 17 132
4 Aspect A and Grangier A 1987 Hyperfine Interactions 37 1
5 Dirac P A M 1927 Proc. Roy. Soc. London A 114 243
6 Gupta S N 1950 Proc. Phys. Soc. London A 63 681
7 Fermi E 1932 Rev. Mod. Phys. 4 87
8 Kidd R, Ardini J and Anton A 1989 Am. J. Phys. 57 27
9 Lewis G N 1926 Nature 118 874
10 Giese A2013 Proc. SPIE 8832 88320H
11 Demyanenko P O and Zinkovskij Y F 2009 Proc. SPIE 7421 742118
12 Mack H and Schleich W P2003 OPN trends, supplement to Optics & Photonics News 14(10): S28-S35
13 Saif S S E H, Saif M Y S, Saif A T S and Saif P S 2013 J. Am. Science 9 446
14 Zajonc A2003 OPN trends, supplement to Optics & Photonics News 14(10) S2-S5
15 Muthukrishnan A, Scully M O and Zubairy M S2003 OPN trends, supplement to Optics & Photonics News 3 S18-S27
16 Berestetskii V B, Lifshitz E M and Pitaevskii L P1982 Quantum Electrodynamics (2nd edn) (Oxford: Butterworth Heinemann) pp. 5-12
17 Berg J C V D1999 Wavelets in Physics (New York: Cambridge University Press) pp. 421-447
18 Ding L, Han B and Liu J Q 2009 Appl. Math. Mech. Engl. Ed. 30 1035
19 Rubinacci G, Tamburrino A, Ventre S and Villone F 1998 IEEE Transactions on Magnetics 34 2775
20 Ashmead J Quanta 1 58
21 Simonovski I and Boltezar M 2003 Journal of Sound and Vibration 264 545
22 Goldstein H, Poole C and Safko J2001 Classical Mechanics (3rd edn) pp. 378-380
23 Planck M 1901 Ann. Phys. 4 553
24 Millikan R A 1916 Phys. Rev. 7 355
25 Tonomura A, Endo J, Matsuta T, Kawasaki T and Ezawa H 1989 Am. J. Phys. 57 117 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
