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On the Momentum Transported by the Radiation Field of a Long Transient Dipole and Time Energy Uncertainty Principle
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Electricity.
Karolinska Univ Hosp, Dept Clin Neurosci, S-17176 Stockholm, Sweden..
2016 (English)In: Atmosphere, ISSN 2073-4433, E-ISSN 2073-4433, Vol. 7, no 11, article id 151Article in journal (Refereed) Published
Abstract [en]

The paper describes the net momentum transported by the transient electromagnetic radiation field of a long transient dipole in free space. In the dipole a current is initiated at one end and propagates towards the other end where it is absorbed. The results show that the net momentum transported by the radiation is directed along the axis of the dipole where the currents are propagating. In general, the net momentum P transported by the electromagnetic radiation of the dipole is less than the quantity U/c, where U is the total energy radiated by the dipole and c is the speed of light in free space. In the case of a Hertzian dipole, the net momentum transported by the radiation field is zero because of the spatial symmetry of the radiation field. As the effective wavelength of the current decreases with respect to the length of the dipole (or the duration of the current decreases with respect to the travel time of the current along the dipole), the net momentum transported by the radiation field becomes closer and closer to U/c, and for effective wavelengths which are much shorter than the length of the dipole, P approximate to U/c. The results show that when the condition P approximate to U/c is satisfied, the radiated fields satisfy the condition Delta t Delta U >= h/4 pi where Delta t is the duration of the radiation, Delta U is the uncertainty in the dissipated energy and h is the Plank constant.

Place, publisher, year, edition, pages
2016. Vol. 7, no 11, article id 151
Keywords [en]
dipole radiation, electromagnetic fields, classical electrodynamics, position momentum uncertainty principle, time energy uncertainty principle
National Category
Meteorology and Atmospheric Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-311200DOI: 10.3390/atmos7110151ISI: 000388285300012OAI: oai:DiVA.org:uu-311200DiVA, id: diva2:1059066
Available from: 2016-12-22 Created: 2016-12-22 Last updated: 2017-11-29Bibliographically approved

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