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Nonlinear Coupling Effects of Waves in A Panda Ring

Published: 20 February 2013
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Abstract

All forms of waves in circular motions in circular ring resonator have shown the interesting behaviors, especially, in the nonlinear wave tracks, where the waves such as gravitation wave, sound wave, electromagnetic wave, matter wave and water wave can produce the whispering gallery modes (WGMs) with some certain conditions. This paper presents the use of a circular resonator (ring resonator) which is coupled by two nonlinear side rings known as a PANDA ring, in which the input waves can be in the forms of soliton, Gaussian pulses, photon or matter wave and introduced into the system. The WGMs can be generated due to the coupling effects of the two nonlinear side rings with the center ring and tunneling effects, which have shown many interesting results and aspects. Some expected outputs can be in the forms of surface plasmons, potential wells, leaky modes of waves, whispering gallery modes, matter waves (photons or particles). The use of WGMs for water wave and Rabi oscillation of photons (particles) in a PANDA ring are also discussed.

Published in Science Discovery (Volume 1, Issue 1)
DOI 10.11648/j.sd.20130101.11
Page(s) 1-5
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), 2013. Published by Science Publishing Group

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Keywords

Wgms, Nonlinear Wave Motion, Small Scale Optics; Interdisciplinary Science

References
[1] N. Pornsuwancharoen and P.P. Yupapin, " Generalized fast, slow, stop and store light optically within a nanoring resonator", Microwave & Optical Technology Letters, 51(4)(2009)899-902.
[2] D.J. Wineland, J.J. Bollinger, Wayne M. Itano, J.D. Prestage, "Angular momentum of trapped atomic particles", JOSA B, 2(11)(1985)1721-1730.
[3] J.C. Knight, N. Dubreuil, V. Sundoghdar, J. Hare, V. Lefe-vre-Seguin, J.M. Raimond and S. Haroche, "Characterizing whispering-gallery modes in microspheres by direct obser-vation of the optical standing-wave pattern in the near field", Optics Letters, 21(10)(1996)698-670.
[4] M.F. Yanik and S. Fan, "Stopping and storing light coherently", Physical Review Letters, 92(2004)083901-3.
[5] P.P. Yupapin and N. Pornsuwancharoen, "Proposed nonlinear microring resonator arrangement for stopping and storing light", IEEE Photonics Technology Letters, 21(6)(2009)404-406.
[6] T. Y. L. Ang and N. Q. Ngo, "Tunable flat-band slow light via contra-propagating cavity modes in twin coupled micro-resonators ", JOSA B, 29(5)(2012)924-933.
[7] T. A. Birks, J. C. Knight and T. E.Dimmick, "High-resolution measurement of the fiber diameter variations using whispering gallery modes and no optical alignment", IEEE Photonics Technology Letters, 12 (2000) 182 – 183.
[8] K.S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media", IEEE Transaction on Antennas Propagation, 14, 302-307 (1966).
[9] K. Uomwech, K. Sarapat and P.P. Yupapin, "Dynamic mod-ulated Gaussian pulse propagation within the double PANDA ring resonator system", Microwave & Optical Technology Letters, 52(8)(2010)1818-1821.
[10] N. Thammawongsa, N. Moonfangklang, S. Mitatha, P.P. Yupapin, "Novel nano-antenna system design using photonics spin in a panda ring resonator", PIER L, 31(2012) 75-87.
[11] E. Waks, V. Jelena, "Coupled mode theory for photonic crystal cavity-waveguide interaction", Optics Express, 13(13)(2005) 5064-5073.
[12] M. Pöllinger, D. O’Shea, F. Warken, A. Rauschenbeutel, "Ultrahigh-Q tunable whispering-gallery-mode microreso-nator", Physical Review Letters, 103.(2009) 053901.
[13] L.-P. Berenger, "Perfectly matched layer for the FDTD solution of wave-structure interaction problem", IEEE Transaction on Antennas Propagation, 44 (1) (1996)110-118.
[14] Y. Hiroyuki and K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities. Boca Rato, CRC Press., 1995, p. 6.
[15] V. Kerry, Optical Microcavities. Singapore: World Scientific Pub., 2004, p. 368.
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  • APA Style

    Preecha P. Yupapin. (2013). Nonlinear Coupling Effects of Waves in A Panda Ring. Science Discovery, 1(1), 1-5. https://doi.org/10.11648/j.sd.20130101.11

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    ACS Style

    Preecha P. Yupapin. Nonlinear Coupling Effects of Waves in A Panda Ring. Sci. Discov. 2013, 1(1), 1-5. doi: 10.11648/j.sd.20130101.11

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    AMA Style

    Preecha P. Yupapin. Nonlinear Coupling Effects of Waves in A Panda Ring. Sci Discov. 2013;1(1):1-5. doi: 10.11648/j.sd.20130101.11

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  • @article{10.11648/j.sd.20130101.11,
      author = {Preecha P. Yupapin},
      title = {Nonlinear Coupling Effects of Waves in A Panda Ring},
      journal = {Science Discovery},
      volume = {1},
      number = {1},
      pages = {1-5},
      doi = {10.11648/j.sd.20130101.11},
      url = {https://doi.org/10.11648/j.sd.20130101.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20130101.11},
      abstract = {All forms of waves in circular motions in circular ring resonator have shown the interesting behaviors, especially, in the nonlinear wave tracks, where the waves such as gravitation wave, sound wave, electromagnetic wave, matter wave and water wave can produce the whispering gallery modes (WGMs) with some certain conditions. This paper presents the use of a circular resonator (ring resonator) which is coupled by two nonlinear side rings known as a PANDA ring, in which the input waves can be in the forms of soliton, Gaussian pulses, photon or matter wave and introduced into the system. The WGMs can be generated due to the coupling effects of the two nonlinear side rings with the center ring and tunneling effects, which have shown many interesting results and aspects. Some expected outputs can be in the forms of surface plasmons, potential wells, leaky modes of waves, whispering gallery modes, matter waves (photons or particles). The use of WGMs for water wave and Rabi oscillation of photons (particles) in a PANDA ring are also discussed.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Nonlinear Coupling Effects of Waves in A Panda Ring
    AU  - Preecha P. Yupapin
    Y1  - 2013/02/20
    PY  - 2013
    N1  - https://doi.org/10.11648/j.sd.20130101.11
    DO  - 10.11648/j.sd.20130101.11
    T2  - Science Discovery
    JF  - Science Discovery
    JO  - Science Discovery
    SP  - 1
    EP  - 5
    PB  - Science Publishing Group
    SN  - 2331-0650
    UR  - https://doi.org/10.11648/j.sd.20130101.11
    AB  - All forms of waves in circular motions in circular ring resonator have shown the interesting behaviors, especially, in the nonlinear wave tracks, where the waves such as gravitation wave, sound wave, electromagnetic wave, matter wave and water wave can produce the whispering gallery modes (WGMs) with some certain conditions. This paper presents the use of a circular resonator (ring resonator) which is coupled by two nonlinear side rings known as a PANDA ring, in which the input waves can be in the forms of soliton, Gaussian pulses, photon or matter wave and introduced into the system. The WGMs can be generated due to the coupling effects of the two nonlinear side rings with the center ring and tunneling effects, which have shown many interesting results and aspects. Some expected outputs can be in the forms of surface plasmons, potential wells, leaky modes of waves, whispering gallery modes, matter waves (photons or particles). The use of WGMs for water wave and Rabi oscillation of photons (particles) in a PANDA ring are also discussed.
    VL  - 1
    IS  - 1
    ER  - 

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Author Information
  • Advanced Studies Center, Department of Physics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang (KMITL), Bangkok 10520, Thailand

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