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Tunable negative refraction of two-dimensional photonic crystal made of silicon cylinders hexagonally arranged in a MnFe2O4 magnetic liquid is studied. The plane wave expansion and finite-difference time-domain method are used to calculate and simulate its band structure, equi-frequency surface and negative refraction property. For the TE mode, the negative refraction of the two-dimensional photonic crystal made of the silicon column-magnetic liquid system can be tuned by a magnetic field. When the volume fraction of magnetic nanoparticles within the magnetic liquid and the frequency of the incident light are fixed, the deflection angle of the refraction light and the absolute value of the negative refractive index increase gradually with the external magnetic field increasing. When the volume fraction of magnetic nanoparticles within the magnetic liquid and the strength of the external magnetic field are fixed, the absolute value of the negative refractive angle and negative refractive index decrease with the normalized frequency of the incident light increasing. In addition, when the external magnetic field and the normalized frequency of the incident light are fixed, the negative refraction weakens with the increase of magnetic nanoparticle volume fraction of background solution.
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Keywords:
- magnetic liquids /
- negative refraction /
- tunability
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[12] Pu S, Chen X, Chen L, Liao W, Chen Y, Xia Y 2005 Appl. Phys. Lett. 87 021901
[13] Patel R, Mehta R V 2010 Eur Phys. J. Appl. Phys. 52 30702
[14] Li J, Lin Y Q, Liu X D, Wen B C, Zhang T Z, Zhang Q M, Miao H 2010 Opt. Commun. 283 1182
[15] Horng H E, Chen C S, Fang K L, Yang S Y, Chieh J J, Hong C Y, Yang H C 2004 Appl. Phys. Lett. 85 5592
[16] Patel R 2011 J. Magn. Magn. Mater. 323 1360
[17] Yang H C, Jeany B Y, Yang S Y, Horng H E, Huang T P, Hong C Y 2002 J. Magn .Magn. Mater. 252 287
[18] Fan C Z, Wang G, Huang J P 2008 J. Appl. Phys. 103 094107
[19] Pu S, Geng T, Chen X, Zeng X, Liu M, Di Z 2008 J. Magn. Magn. Mater. 320 2345
[20] Pu S, Liu M 2009 J. Alloys Compd 481 851
[21] Gao Y, Huang J P, Liu Y M, Gao L, Yu K W, Zhang X 2010 Phys. Rev. Lett. 104 034501
[22] Hong C-Y, Horng H E, Kuo F C, Yang S Y, Yang H C, Wu J M 1999 Appl. Phys. Lett. 75 2196
[23] Yang S Y, Horng H E, Shiao Y T, Hong C-Y, Yang H C 2006 J. Magn. Magn .Mater. 307 43
[24] Fan C Z, Huang J P 2006 Appl. Phys. Lett. 89 141906
[25] Notomi M 2000 Phys. Rev. B 62 10696
[26] Notomi M 2002 Opt Quantum Electron 34 133
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[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[3] Houck A A, Brock J B, Chuang I L 2003 Phys. Rev. Lett. 90 137401
[4] Parimi P V, Lu W T, Vodo P, Sokoloff J, Derov J S, Sridhar S 2004 Phys. Rev. Lett .92 127401
[5] Chen J B, Wang Y, Jia B H, Geng T, Li X P, Feng L, Qian W, Liang B M, Zhang X X, Gu M, Zhuang S L 2011 Nat. Photon 5 239
[6] Luo C, Ibanescu M, Johnson S G, Joannopoulos J D 2003 Science 299 368
[7] Gabrielli L H, Cardenas J, Poitras C B, Lipson M 2009 Nat. Photon 3 461
[8] Pendry J B 2000 Phys. Rev. Lett. 85 3966
[9] Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[10] Luo C, Johnson S G, Joannopoulos J D, Pendry J B 2002 Phys. Rev. B 65 201104
[11] Patel R 2009 J. Opt. A: Pure. Appl. Opt. 11 125004
[12] Pu S, Chen X, Chen L, Liao W, Chen Y, Xia Y 2005 Appl. Phys. Lett. 87 021901
[13] Patel R, Mehta R V 2010 Eur Phys. J. Appl. Phys. 52 30702
[14] Li J, Lin Y Q, Liu X D, Wen B C, Zhang T Z, Zhang Q M, Miao H 2010 Opt. Commun. 283 1182
[15] Horng H E, Chen C S, Fang K L, Yang S Y, Chieh J J, Hong C Y, Yang H C 2004 Appl. Phys. Lett. 85 5592
[16] Patel R 2011 J. Magn. Magn. Mater. 323 1360
[17] Yang H C, Jeany B Y, Yang S Y, Horng H E, Huang T P, Hong C Y 2002 J. Magn .Magn. Mater. 252 287
[18] Fan C Z, Wang G, Huang J P 2008 J. Appl. Phys. 103 094107
[19] Pu S, Geng T, Chen X, Zeng X, Liu M, Di Z 2008 J. Magn. Magn. Mater. 320 2345
[20] Pu S, Liu M 2009 J. Alloys Compd 481 851
[21] Gao Y, Huang J P, Liu Y M, Gao L, Yu K W, Zhang X 2010 Phys. Rev. Lett. 104 034501
[22] Hong C-Y, Horng H E, Kuo F C, Yang S Y, Yang H C, Wu J M 1999 Appl. Phys. Lett. 75 2196
[23] Yang S Y, Horng H E, Shiao Y T, Hong C-Y, Yang H C 2006 J. Magn. Magn .Mater. 307 43
[24] Fan C Z, Huang J P 2006 Appl. Phys. Lett. 89 141906
[25] Notomi M 2000 Phys. Rev. B 62 10696
[26] Notomi M 2002 Opt Quantum Electron 34 133
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