Abstract
The fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood to be a cardinal keyword in quantum cryptography transport technology and the Standard Model. Interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with its helicity has received attention recently from scientists in the age of information and communication. This study presents a new dynamic polarization platform that presents the polarization modes of a transverse electromagnetic wave by using Jones vectors calculations in the symbolic program Mathematica to convert the state of polarization through the arrangement of the optical elements. The platform simulates a propagation process that satisfies Maxwell’s two vector equations precisely with the vectorial nature of the electromagnetic wave.
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References
M. Tonouchi, Nat. Photonics 1, 97 (2007).
X. Steve Yao, L. S. Yan, B. Zhang, A. E. Willer, and Jungfen Jiang, Opt Express 15, 7407 (2007).
A. Rubenhok, J. A. Slater, P. Chan, I. Lucio-Martinez, and W. Tittel, Phys. Rev. Lett. 111, 130501 (2013).
G. Aad, B. Abbott, J. Abdallah, S. A. Khalek, A. A. Abdelalim et al., Phys. Rev. B 108, 111803 (2012).
P. A. R. Ade, R. W. Aikin, D. Barkats, S. J. Benton, C. A. Bischoff et al., Phys. Rev. Lett. 112, 241101 (2015).
P. A. R. Ade, R. W. Aikin, D. Barkats, S. J. Benton, C. A. Bischoff et al., Phys. Rev. Lett. 114, 101301 (2015).
L. A. Boyle, P. J. Steinhardt, and N. Turok 2006, arXiv:astro-ph/0507455v3 22 Mar. 2006.
F. L. Pedrotti and L. S. Pedrotti, Introduction to Optics (Prentice-Hall, 1987), Chap. 17, p. 343.
J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1975), Chap. 7, p. 273.
G. R. Fowles, Introduction to Modern Optics (Holt, Reinhart and Winston, New York, 1975), Chap. 2, and Chap. 6.
R. Reitz F. J. Milford, and W. Christy, Foundation of electromagnetic theory, 4th ed. (Addison-Wesley, Reading, Massachusetts, 1993), Chap. 17, p. 416.
M. Born and E. Wolf, Principle of Opics, 7th ed. (Cambridge University Press, Cambridge, 1999), p. 795.
H. Georgi, Lie Agebra in Particle Physics (Benjamin Inc., London, 1982), p. 162.
P. T. Tamm, A Physicist’s Guide to Mathematica (Academic Press, San Diego, 1997), p. 291.
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
Polarization of an Optical Wave through Polarizers and Wave Plates, http://demonstrations.wolfram.com/PolarizationOfAnOpticalWaveThroughPolarizersAndWavePlates/ (2015).
H.-J. Yun and Y.-D. Choi, New Physics: Sae Mulli 63, 1118 (2013).
Wolfram Mathematica, http://www.wolfram.com/mathematica (2015).
R. Clark Jones, J. Opt. Soc. Am. 31, 488 (1941).
Wolfram CDF Player for Interactive Computable Document Format, http://www.wolfram.com/cdfplayer/ (2015).
M. Goldhaver, L. Grodzins and A. W. Sunyar, Phys.Rev. 109, 1015 (1958).
Optics Applets, http://www.cabrillo.edu/jmccullough/Applets/Flash/Optics/CircPol.swf (2015).
jdpmp programs, http://home.mokwon.ac.kr/~heejy/program.htm (2015).
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Choi, YD., Yun, HJ. Vectorial polarization modes platform realized with Jones vectors in mathematica. Journal of the Korean Physical Society 67, 792–799 (2015). https://doi.org/10.3938/jkps.67.792
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DOI: https://doi.org/10.3938/jkps.67.792