Azimuthal Averaging for Rotational Electromagnetic Waves

Jinsik Mok; Hyoung-In Lee

doi:doi:10.11648/j.wjap.20160102.11

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Azimuthal Averaging for Rotational Electromagnetic Waves

Jinsik Mok, Hyoung-In Lee

Published in World Journal of Applied Physics (Volume 1, Issue 2)

Received: 9 October 2016 Accepted: 21 October 2016 Published: 14 November 2016

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Abstract

We make use of the well-known integral representation of Bessel function in order to derive higher-order rotational electromagnetic waves. For this purpose, we employ the simplest weighting function in carrying out an azimuthal averaging of an E-parallel-H wave. To our surprise, the resulting wave turns out to describe interactions between two co-rotational waves with a half-cycle phase difference. In addition, we will provide both implications of the resulting waves concerning optical vortices and relevant technical applications.

Published in	World Journal of Applied Physics (Volume 1, Issue 2)
DOI	10.11648/j.wjap.20160102.11
Page(s)	30-36
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Integral Representation, Bessel Function, Electromagnetic Wave, Azimuthal Mode Index, Interference, Optical Vortex

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Jinsik Mok, Hyoung-In Lee. (2016). Azimuthal Averaging for Rotational Electromagnetic Waves. World Journal of Applied Physics, 1(2), 30-36. https://doi.org/10.11648/j.wjap.20160102.11

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ACS Style

Jinsik Mok; Hyoung-In Lee. Azimuthal Averaging for Rotational Electromagnetic Waves. World J. Appl. Phys. 2016, 1(2), 30-36. doi: 10.11648/j.wjap.20160102.11

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AMA Style

Jinsik Mok, Hyoung-In Lee. Azimuthal Averaging for Rotational Electromagnetic Waves. World J Appl Phys. 2016;1(2):30-36. doi: 10.11648/j.wjap.20160102.11

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@article{10.11648/j.wjap.20160102.11,
  author = {Jinsik Mok and Hyoung-In Lee},
  title = {Azimuthal Averaging for Rotational Electromagnetic Waves},
  journal = {World Journal of Applied Physics},
  volume = {1},
  number = {2},
  pages = {30-36},
  doi = {10.11648/j.wjap.20160102.11},
  url = {https://doi.org/10.11648/j.wjap.20160102.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20160102.11},
  abstract = {We make use of the well-known integral representation of Bessel function in order to derive higher-order rotational electromagnetic waves. For this purpose, we employ the simplest weighting function in carrying out an azimuthal averaging of an E-parallel-H wave. To our surprise, the resulting wave turns out to describe interactions between two co-rotational waves with a half-cycle phase difference. In addition, we will provide both implications of the resulting waves concerning optical vortices and relevant technical applications.},
 year = {2016}
}

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TY  - JOUR
T1  - Azimuthal Averaging for Rotational Electromagnetic Waves
AU  - Jinsik Mok
AU  - Hyoung-In Lee
Y1  - 2016/11/14
PY  - 2016
N1  - https://doi.org/10.11648/j.wjap.20160102.11
DO  - 10.11648/j.wjap.20160102.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 30
EP  - 36
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20160102.11
AB  - We make use of the well-known integral representation of Bessel function in order to derive higher-order rotational electromagnetic waves. For this purpose, we employ the simplest weighting function in carrying out an azimuthal averaging of an E-parallel-H wave. To our surprise, the resulting wave turns out to describe interactions between two co-rotational waves with a half-cycle phase difference. In addition, we will provide both implications of the resulting waves concerning optical vortices and relevant technical applications.
VL  - 1
IS  - 2
ER  -

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Author Information

Jinsik Mok

Department of Industrial and Management Engineering, Sunmoon University, Asan, Choongnam, Republic of Korea
Hyoung-In Lee

Research Institute of Mathematics, Seoul National University, Gwanak-Gu, Seoul, Republic of Korea

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APA Style

Jinsik Mok, Hyoung-In Lee. (2016). Azimuthal Averaging for Rotational Electromagnetic Waves. World Journal of Applied Physics, 1(2), 30-36. https://doi.org/10.11648/j.wjap.20160102.11

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ACS Style

Jinsik Mok; Hyoung-In Lee. Azimuthal Averaging for Rotational Electromagnetic Waves. World J. Appl. Phys. 2016, 1(2), 30-36. doi: 10.11648/j.wjap.20160102.11

Copy | Download

AMA Style

Jinsik Mok, Hyoung-In Lee. Azimuthal Averaging for Rotational Electromagnetic Waves. World J Appl Phys. 2016;1(2):30-36. doi: 10.11648/j.wjap.20160102.11

Copy | Download

@article{10.11648/j.wjap.20160102.11,
  author = {Jinsik Mok and Hyoung-In Lee},
  title = {Azimuthal Averaging for Rotational Electromagnetic Waves},
  journal = {World Journal of Applied Physics},
  volume = {1},
  number = {2},
  pages = {30-36},
  doi = {10.11648/j.wjap.20160102.11},
  url = {https://doi.org/10.11648/j.wjap.20160102.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20160102.11},
  abstract = {We make use of the well-known integral representation of Bessel function in order to derive higher-order rotational electromagnetic waves. For this purpose, we employ the simplest weighting function in carrying out an azimuthal averaging of an E-parallel-H wave. To our surprise, the resulting wave turns out to describe interactions between two co-rotational waves with a half-cycle phase difference. In addition, we will provide both implications of the resulting waves concerning optical vortices and relevant technical applications.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Azimuthal Averaging for Rotational Electromagnetic Waves
AU  - Jinsik Mok
AU  - Hyoung-In Lee
Y1  - 2016/11/14
PY  - 2016
N1  - https://doi.org/10.11648/j.wjap.20160102.11
DO  - 10.11648/j.wjap.20160102.11
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 30
EP  - 36
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20160102.11
AB  - We make use of the well-known integral representation of Bessel function in order to derive higher-order rotational electromagnetic waves. For this purpose, we employ the simplest weighting function in carrying out an azimuthal averaging of an E-parallel-H wave. To our surprise, the resulting wave turns out to describe interactions between two co-rotational waves with a half-cycle phase difference. In addition, we will provide both implications of the resulting waves concerning optical vortices and relevant technical applications.
VL  - 1
IS  - 2
ER  -

Copy | Download