Investigating the Invalidity of the Law of Energy Conservation Based on Waves Interference Phenomenon Inside a Ringed Waveguide
Law of energy conservation is one of the fundamental laws of physics. Energy is conserved, and the total amount of energy is constant. It can be transferred from one object to another and changed from one state to another. However, in the case of wave interference, this law faces important contradictions. Based on the presented mathematical relationship in this paper, it seems that validity of this law depends on the path of energy wave, like light, in which it is located. In this paper, by using some fundamental concepts in physics like the constancy of the electromagnetic wave speed in a specific media and wave theory of light, it will be shown that law of energy conservation is not valid in every condition and in some circumstances, it is possible to increase energy of a system with a determined amount of energy without any input.
[1] David Halliday, Robert Resnick, Jearl Walker, Fundamentals of Physics Extended, 10th Edition, John Wiley and Sons Inc. 2013. ISBN 978-1-118-23072-5.
[2] Dijksterhuis, Fokko Jan, Lenses and Waves: Christiaan Huygens and the Mathematical Science of Optics in the Seventeenth Century, Springer Netherlands, 2004. ISBN 978-1-4020-2698-0.
[3] David Cassidy; Gerald Holton; James Rutherford. Understanding Physics. Springer-Verlag New York, 2002. ISBN 0-387-98756-8.
[4] Malcolm Longair, Theoretical Concepts in Physics, Cambridge University Press, 2012, ISBN 9780511840173.
[5] R.C. Levine, “False paradoxes of superposition in electric and acoustic waves,” Am. J. Phys. 48, 28–31 (Jan. 1980).
[6] W. N. Mathews Jr., “Superposition and energy conservation for small amplitude mechanical waves,” Am. J. Phys. 54, 233–238
(1986).
[7] R. Drosd, L. Minkin and A.S. Shapovalov, Interference and the Law of Energy Conservation, The Physics Teacher.52, 428 (2014)
[8] Barrow, Gordon M. Introduction to Molecular Spectroscopy, McGraw-Hill, 1962.
[9] Albert Einstein, ‘Relativity: The Special and General Theory’, Wings Books, Random House, New York, 1961 and ‘The Meaning of Relativity’, 5th Ed., MJF Books, New York, 1984.
[10] Ido Kaminer, Rivka Bekenstein, Jonathan Nemirovsky, and Mordechai Segev, Nondiffracting Accelerating Wave Packets of Maxwell’s Equations, Physical Review Letters, 163901 (2012).
[11] Amnon Yariv, Yong Xu, Reginald K. Lee, and Axel Scherer, Coupled-resonator optical waveguide: a proposal and analysis, OPTICS LETTERS, June 1, 1999 / Vol. 24, No. 11.
[12] Joyce K. S. Poon, Jacob Scheuer, Shayan Mookherjea, George T. Paloczi, Yanyi Huang, and Amnon Yariv, Matrix analysis of microring coupled-resonator optical waveguides, Optics Express, Vol. 12, Issue 1, pp. 90-103, 2004.
[13] S.A. Maier, M.L. Brongersma, P.G. Kik, S. Meltzer, A.A.G. Requicha, B.E. Koel, H.A. Atwater, Plasmonics—A Route to Nanoscale Optical Devices, Advanced Materials, Volume 15, Issue 7-8, April, 2003, Page 562.
[14] A B Evlyukhin, S I Bozhevolnyi, Surface plasmon polariton guiding by chains of nanoparticles, Laser Physics Letters, March 2006, Volume 3.
[15] Evgeny N. Bulgakov and Dmitrii N. Maksimov, Light guiding above the light line in arrays of dielectric nanospheres, Optics Letters, Vol. 41, Issue 16, pp. 3888-3891, 2016.
[16] Evlyukhin AB1, Novikov SM, Zywietz U, Eriksen RL, Reinhardt C, Bozhevolnyi SI, Chichkov BN, Demonstration of magnetic dipole resonances of dielectric nanospheres in the visible region, Nano Letter. 2012 Jul 11; 12(7):3749-55.
[17] Fu YH, Kuznetsov AI, Miroshnichenko AE, Yu YF, Luk'yanchuk B, Directional visible light scattering by silicon nanoparticles, Nature Communications, 2013;4:1527. doi: 10.1038/ncomms2538.
[18] Roman S. Savelev, Dmitry S. Filonov, Polina V. Kapitanova, Alexander E. Krasnok, Andrey E. Miroshnichenko, Pavel A. Belov, and Yuri S. Kivsha, Bending of electromagnetic waves in all-dielectric particle array waveguides, Applied Physics Letters 105, 181116 (2014); doi: 10.1063/1.4901264.
[19] David K. Cheng, Field and Wave Electromagnetics, 2nd Edition, Prentice Hall, 1989. ISBN 978-0-201-12819-2.
[1] David Halliday, Robert Resnick, Jearl Walker, Fundamentals of Physics Extended, 10th Edition, John Wiley and Sons Inc. 2013. ISBN 978-1-118-23072-5.
[2] Dijksterhuis, Fokko Jan, Lenses and Waves: Christiaan Huygens and the Mathematical Science of Optics in the Seventeenth Century, Springer Netherlands, 2004. ISBN 978-1-4020-2698-0.
[3] David Cassidy; Gerald Holton; James Rutherford. Understanding Physics. Springer-Verlag New York, 2002. ISBN 0-387-98756-8.
[4] Malcolm Longair, Theoretical Concepts in Physics, Cambridge University Press, 2012, ISBN 9780511840173.
[5] R.C. Levine, “False paradoxes of superposition in electric and acoustic waves,” Am. J. Phys. 48, 28–31 (Jan. 1980).
[6] W. N. Mathews Jr., “Superposition and energy conservation for small amplitude mechanical waves,” Am. J. Phys. 54, 233–238
(1986).
[7] R. Drosd, L. Minkin and A.S. Shapovalov, Interference and the Law of Energy Conservation, The Physics Teacher.52, 428 (2014)
[8] Barrow, Gordon M. Introduction to Molecular Spectroscopy, McGraw-Hill, 1962.
[9] Albert Einstein, ‘Relativity: The Special and General Theory’, Wings Books, Random House, New York, 1961 and ‘The Meaning of Relativity’, 5th Ed., MJF Books, New York, 1984.
[10] Ido Kaminer, Rivka Bekenstein, Jonathan Nemirovsky, and Mordechai Segev, Nondiffracting Accelerating Wave Packets of Maxwell’s Equations, Physical Review Letters, 163901 (2012).
[11] Amnon Yariv, Yong Xu, Reginald K. Lee, and Axel Scherer, Coupled-resonator optical waveguide: a proposal and analysis, OPTICS LETTERS, June 1, 1999 / Vol. 24, No. 11.
[12] Joyce K. S. Poon, Jacob Scheuer, Shayan Mookherjea, George T. Paloczi, Yanyi Huang, and Amnon Yariv, Matrix analysis of microring coupled-resonator optical waveguides, Optics Express, Vol. 12, Issue 1, pp. 90-103, 2004.
[13] S.A. Maier, M.L. Brongersma, P.G. Kik, S. Meltzer, A.A.G. Requicha, B.E. Koel, H.A. Atwater, Plasmonics—A Route to Nanoscale Optical Devices, Advanced Materials, Volume 15, Issue 7-8, April, 2003, Page 562.
[14] A B Evlyukhin, S I Bozhevolnyi, Surface plasmon polariton guiding by chains of nanoparticles, Laser Physics Letters, March 2006, Volume 3.
[15] Evgeny N. Bulgakov and Dmitrii N. Maksimov, Light guiding above the light line in arrays of dielectric nanospheres, Optics Letters, Vol. 41, Issue 16, pp. 3888-3891, 2016.
[16] Evlyukhin AB1, Novikov SM, Zywietz U, Eriksen RL, Reinhardt C, Bozhevolnyi SI, Chichkov BN, Demonstration of magnetic dipole resonances of dielectric nanospheres in the visible region, Nano Letter. 2012 Jul 11; 12(7):3749-55.
[17] Fu YH, Kuznetsov AI, Miroshnichenko AE, Yu YF, Luk'yanchuk B, Directional visible light scattering by silicon nanoparticles, Nature Communications, 2013;4:1527. doi: 10.1038/ncomms2538.
[18] Roman S. Savelev, Dmitry S. Filonov, Polina V. Kapitanova, Alexander E. Krasnok, Andrey E. Miroshnichenko, Pavel A. Belov, and Yuri S. Kivsha, Bending of electromagnetic waves in all-dielectric particle array waveguides, Applied Physics Letters 105, 181116 (2014); doi: 10.1063/1.4901264.
[19] David K. Cheng, Field and Wave Electromagnetics, 2nd Edition, Prentice Hall, 1989. ISBN 978-0-201-12819-2.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:77349", author = "M. Yusefzad", title = "Investigating the Invalidity of the Law of Energy Conservation Based on Waves Interference Phenomenon Inside a Ringed Waveguide", abstract = "Law of energy conservation is one of the fundamental laws of physics. Energy is conserved, and the total amount of energy is constant. It can be transferred from one object to another and changed from one state to another. However, in the case of wave interference, this law faces important contradictions. Based on the presented mathematical relationship in this paper, it seems that validity of this law depends on the path of energy wave, like light, in which it is located. In this paper, by using some fundamental concepts in physics like the constancy of the electromagnetic wave speed in a specific media and wave theory of light, it will be shown that law of energy conservation is not valid in every condition and in some circumstances, it is possible to increase energy of a system with a determined amount of energy without any input.
", keywords = "Power, law of energy conservation, electromagnetic wave, interference, Maxwell’s equations.", volume = "12", number = "3", pages = "66-4", }
