Abstract
A fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood as a cardinal keyword in quantum cryptography transport technology and cosmology. Recently, interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with helicity has received attention from scientists in the age of information and communication. This study presents a new dynamic polarization platform that manipulates the polarization mode train of a transverse electromagnetic wave by using calculations with Jones vectors in the symbolic program Mathematica. The train of polarization modes is converted continuously through a desirable lineup of optical elements in the platform. The platform simulates a propagation process that satisfies Maxwell’s two vector equations precisely with helicity in the vectorial nature of the electromagnetic wave.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Tonouchi, Nat. Photonics 1, 97 (2007).
X. Steve Yao, L. S. Yan, B. Zhang, A. E. Willer and J. Jiang, Opt. Express 15, 7407 (2007).
S. W. Lee and Y. Sung, JKIEES 15, 115 (2015).
A. Rubenhok, J. A. Slater, P. Chan, I. Lucio-Martinez and W. Tittel, Phys. Rev. Lett. 111, 130501 (2013).
W. A. Hiltner, Science 109, 165 (1949).
J. S. Hall, Science 109, 166 (1949).
L. A. Boyle, P. J. Steinhardt and N. Turok 2006, arXiv:astro-ph/0507455v3, 22 Mar. 2006.
P. A. R. Ade, R. W. Aikin, D. Barkats, S. J. Benton, C. A. Bischoff et al., Phys. Rev. Lett. 114, 101301 (2015).
B. P. Abbott, R. A. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernse et al., Phys. Rev. Lett. 116, 061102 (2016).
E. Berti, Physics 9, 17 (2016).
F. L. Pedrotti and L. S. Pedrotti, Introduction to Optics (Prentice-Hall, Englewood Cliffs, 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, 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 Optics, 7th ed. (Cambridge University Press, Cambridge, 1999), p. 795.
H. Georgi, Lie Algebra in Particle Physics (Benjamin Inc., London, 1982), p. 162.
M. Goldhaver, L. Grodzins and A.W. Sunyar, Phys. Rev. 109, 1015 (1958).
T. Aaltonen, V. M. Abazov, B. Abbott, B. S.Acharya, M. Adams et al., Phys. Rev. Lett. 116, 061102 (2012).
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
P. T. Tamm, A Physicist’s Guide to Mathematica (Academic Press, San Diego, 1997), p. 291.
Polarization of an Optical Wave through Polarizers and Wave Plates, http://demonstrations.wolfram. com/PolarizationOfAnOpticalWave Through-PolarizersAndWavePlates/(2016).
Optics Applets, http://www.cabrillo.edu/~jmccullough/Applets/Flash/Optics/CircPol.swf (2016).
H. J. Yun and Y. D. Choi, New Physics: Sae Mulli 63, 1118 (2013).
Y. D. Choi and H. J. Yun, J. Korean Phys. Soc. 67, 792 (2015).
Wolfram Mathematica, http://www.wolfram. com/mathematica (2016).
R. Clark Jones, J. Opt. Soc. Am. 31, 488 (1941).
jdpmp4t programs, http://home.mokwon.ac.kr/~heejy/program.htm (2016).
CDF Player, http://www.wolfram.com/cdf-player/ (2016).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, T.W., Yun, HJ. Vectorial platform for manipulating the polarization mode train realized with Jones vectors in Mathematica . Journal of the Korean Physical Society 69, 697–707 (2016). https://doi.org/10.3938/jkps.69.697
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.69.697