13 Theoretical Generalization of the Optical Chirality to Arbitrary Optical Media
353
40. T.G. Philbin, O. Allanson, Optical angular momentum in dispersive media. Phys. Rev. A 86,
055802 (2012). https://doi.org/10.1103/PhysRevA.86.055802
41. K.Y. Bliokh, A.Y. Bekshaev, F. Nori, Optical momentum, spin, and angular momentum in
dispersive media. Phys. Rev. Lett. 119, 073901 (2017). https://doi.org/10.1103/PhysRevLett.
119.073901
42. F. Alpeggiani, K.Y. Bliokh, F. Nori, L. Kuipers, Electromagnetic helicity in complex media.
Phys. Rev. Lett. 120, 243605 (2018). https://doi.org/10.1103/PhysRevLett.120.243605
43. I. Proskurin, A.S. Ovchinnikov, P. Nosov, J. Kishine, Optical chirality in gyrotropic media: symmetry approach. New J. Phys. 19, 063021 (2017). https://doi.org/10.1088/1367-2630/aa6acd
44. T.G. Philbin, Lipkin’s conservation law, Noether’s theorem, and the relation to optical helicity.
Phys. Rev. A 87, 043843 (2013). https://doi.org/10.1103/PhysRevA.87.043843
45. M.V. Gorkunov, V.E. Dmitrienko, A.A. Ezhov, V.V. Artemov, O.Y. Rogov, Implications of the
causality principle for ultra chiral metamaterials. Sci. Rep. 5, 9273 (2015). https://doi.org/10.
1038/srep09273
46. J.E. Vázquez-Lozano, A. Martínez, Optical chirality in dispersive and lossy media. Phys. Rev.
Lett. 121, 043901 (2018). https://doi.org/10.1103/PhysRevLett.121.043901
47. D.M. Lipkin, Existence of a new conservation law in electromagnetic theory. J. Math. Phys. 5,
696 (1964). https://doi.org/10.1063/1.1704165
48. J.E. Vázquez-Lozano, A. Martínez, Optics in 2018: Generalizing optical chirality to an arbitrary
medium. Opt. Photon. News 29, 39 (2018). https://www.osa-opn.org/home/articles/volume_
29/december_2018/extras/generalizing_optical_chirality_to_an_arbitrary_med/
49. E. Hecht, Optics, 4th edn. (Pearson Education, Harlow, 2013)
50. B.E.A. Saleh, M.C. Teich, Fundamentals of Photonics (Wiley-Interscience, New York, 2007)
51. G. Nienhuis, Conservation laws and symmetry transformations of the electromagnetic field
with sources. Phys. Rev. A 93, 023840 (2016). https://doi.org/10.1103/PhysRevA.93.023840
52. I. Fernandez-Corbaton, C. Rockstuhl, Unified theory to describe and engineer conservation
laws in light-matter interactions. Phys. Rev. A 95, 053829 (2017). https://doi.org/10.1103/
PhysRevA.95.053829
53. J.H. Poynting, On the transfer of energy in the electromagnetic field. Phil. Trans. R. Soc.
London 175, 343 (1884). https://doi.org/10.1098/rstl.1884.0016
54. R. Loudon, The propagation of electromagnetic energy through an absorbing dielectric. J. Phys.
A: Gen. Phys. 3, 233 (1970). https://doi.org/10.1088/0305-4470/3/3/008
55. R. Ruppin, Electromagnetic energy density in a dispersive and absorptive material. Phys. Lett.
A 299, 309 (2002). https://doi.org/10.1016/S0375-9601(01)00838-6
56. T.J. Cui, J.A. Kong, Time-domain electromagnetic energy in a frequency-dispersive left-handed
medium. Phys. Rev. B 70, 205106 (2004). https://doi.org/10.1103/PhysRevB.70.205106
57. S.A. Tretyakov, Electromagnetic field energy density in artificial microwave materials with
strong dispersion and loss. Phys. Lett. A 343, 231 (2005). https://doi.org/10.1016/j.physleta.
2005.06.023
58. A.D. Boardman, K. Marinov, Electromagnetic energy in a dispersive metamaterial. Phys. Rev.
B 73, 165110 (2006). https://doi.org/10.1103/PhysRevB.73.165110
59. P.-G. Luan, Power loss and electromagnetic energy density in a dispersive metamaterial
medium. Phys. Rev. E 80, 046601 (2009). https://doi.org/10.1103/PhysRevE.80.046601
60. A. Raman, S. Fan, Photonic band structure of dispersive metamaterials formulated as a Hermitian eigenvalue problem. Phys. Rev. Lett. 104, 087401 (2010). https://doi.org/10.1103/
PhysRevLett.104.087401
61. W. Shin, A. Raman, S. Fan, Instantaneous electric energy and electric power dissipation in
dispersive media. J. Opt. Soc. Am. B 29, 1048 (2012). https://doi.org/10.1364/JOSAB.29.
001048
62. F.S.S. Rosa, D.A.R. Dalvit, P.W. Milonni, Electromagnetic energy, absorption, and Casimir
forces: Uniform dielectric media in thermal equilibrium. Phys. Rev. A 81, 033812 (2010).
https://doi.org/10.1103/PhysRevA.81.033812
63. K.J. Webb and Shivanand, Electromagnetic field energy in dispersive materials. J. Opt. Soc.
Am. B 27, 1215 (2010) https://doi.org/10.1364/JOSAB.27.001215
353
40. T.G. Philbin, O. Allanson, Optical angular momentum in dispersive media. Phys. Rev. A 86,
055802 (2012). https://doi.org/10.1103/PhysRevA.86.055802
41. K.Y. Bliokh, A.Y. Bekshaev, F. Nori, Optical momentum, spin, and angular momentum in
dispersive media. Phys. Rev. Lett. 119, 073901 (2017). https://doi.org/10.1103/PhysRevLett.
119.073901
42. F. Alpeggiani, K.Y. Bliokh, F. Nori, L. Kuipers, Electromagnetic helicity in complex media.
Phys. Rev. Lett. 120, 243605 (2018). https://doi.org/10.1103/PhysRevLett.120.243605
43. I. Proskurin, A.S. Ovchinnikov, P. Nosov, J. Kishine, Optical chirality in gyrotropic media: symmetry approach. New J. Phys. 19, 063021 (2017). https://doi.org/10.1088/1367-2630/aa6acd
44. T.G. Philbin, Lipkin’s conservation law, Noether’s theorem, and the relation to optical helicity.
Phys. Rev. A 87, 043843 (2013). https://doi.org/10.1103/PhysRevA.87.043843
45. M.V. Gorkunov, V.E. Dmitrienko, A.A. Ezhov, V.V. Artemov, O.Y. Rogov, Implications of the
causality principle for ultra chiral metamaterials. Sci. Rep. 5, 9273 (2015). https://doi.org/10.
1038/srep09273
46. J.E. Vázquez-Lozano, A. Martínez, Optical chirality in dispersive and lossy media. Phys. Rev.
Lett. 121, 043901 (2018). https://doi.org/10.1103/PhysRevLett.121.043901
47. D.M. Lipkin, Existence of a new conservation law in electromagnetic theory. J. Math. Phys. 5,
696 (1964). https://doi.org/10.1063/1.1704165
48. J.E. Vázquez-Lozano, A. Martínez, Optics in 2018: Generalizing optical chirality to an arbitrary
medium. Opt. Photon. News 29, 39 (2018). https://www.osa-opn.org/home/articles/volume_
29/december_2018/extras/generalizing_optical_chirality_to_an_arbitrary_med/
49. E. Hecht, Optics, 4th edn. (Pearson Education, Harlow, 2013)
50. B.E.A. Saleh, M.C. Teich, Fundamentals of Photonics (Wiley-Interscience, New York, 2007)
51. G. Nienhuis, Conservation laws and symmetry transformations of the electromagnetic field
with sources. Phys. Rev. A 93, 023840 (2016). https://doi.org/10.1103/PhysRevA.93.023840
52. I. Fernandez-Corbaton, C. Rockstuhl, Unified theory to describe and engineer conservation
laws in light-matter interactions. Phys. Rev. A 95, 053829 (2017). https://doi.org/10.1103/
PhysRevA.95.053829
53. J.H. Poynting, On the transfer of energy in the electromagnetic field. Phil. Trans. R. Soc.
London 175, 343 (1884). https://doi.org/10.1098/rstl.1884.0016
54. R. Loudon, The propagation of electromagnetic energy through an absorbing dielectric. J. Phys.
A: Gen. Phys. 3, 233 (1970). https://doi.org/10.1088/0305-4470/3/3/008
55. R. Ruppin, Electromagnetic energy density in a dispersive and absorptive material. Phys. Lett.
A 299, 309 (2002). https://doi.org/10.1016/S0375-9601(01)00838-6
56. T.J. Cui, J.A. Kong, Time-domain electromagnetic energy in a frequency-dispersive left-handed
medium. Phys. Rev. B 70, 205106 (2004). https://doi.org/10.1103/PhysRevB.70.205106
57. S.A. Tretyakov, Electromagnetic field energy density in artificial microwave materials with
strong dispersion and loss. Phys. Lett. A 343, 231 (2005). https://doi.org/10.1016/j.physleta.
2005.06.023
58. A.D. Boardman, K. Marinov, Electromagnetic energy in a dispersive metamaterial. Phys. Rev.
B 73, 165110 (2006). https://doi.org/10.1103/PhysRevB.73.165110
59. P.-G. Luan, Power loss and electromagnetic energy density in a dispersive metamaterial
medium. Phys. Rev. E 80, 046601 (2009). https://doi.org/10.1103/PhysRevE.80.046601
60. A. Raman, S. Fan, Photonic band structure of dispersive metamaterials formulated as a Hermitian eigenvalue problem. Phys. Rev. Lett. 104, 087401 (2010). https://doi.org/10.1103/
PhysRevLett.104.087401
61. W. Shin, A. Raman, S. Fan, Instantaneous electric energy and electric power dissipation in
dispersive media. J. Opt. Soc. Am. B 29, 1048 (2012). https://doi.org/10.1364/JOSAB.29.
001048
62. F.S.S. Rosa, D.A.R. Dalvit, P.W. Milonni, Electromagnetic energy, absorption, and Casimir
forces: Uniform dielectric media in thermal equilibrium. Phys. Rev. A 81, 033812 (2010).
https://doi.org/10.1103/PhysRevA.81.033812
63. K.J. Webb and Shivanand, Electromagnetic field energy in dispersive materials. J. Opt. Soc.
Am. B 27, 1215 (2010) https://doi.org/10.1364/JOSAB.27.001215