Abstract
Light propagation in one-dimensional (1D) photonic crystals with dissipation (including metal layers) is studied analytically. The proper effective refractive indices and extinctions of dissipative layers in case of oblique incidence are introduced. Then, the formalism available for nondissipative photonic crystals is modified by replacing the conventional refractive indices with effective ones. Propagation in a bilayer dielectric-metallic crystal is computed as an example.
Similar content being viewed by others
References
Andre J.M., Jonnard P.: Stokes reciprocity equations and density of modes for absorbing stratified media. J. Mod. Opt. 56, 1562–1571 (2008)
Bendickson J.M., Dowling J.P., Scalora M.: Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures. Phys. Rev. E 53, 4107–4121 (1996)
Born M., Wolf E.: Principles of Optic, 7th edn. Cambridge, London (1999)
Brillouin L.: Wave Propagation in Periodic Structures. McGraw-Hill, New York (1946)
Chang P.C.Y., Walker J.C., Hopcraft K.I.: Ray tracing in absorbing media. J. Quant. Spectrosc. Radiat. Transf. 96, 327–341 (2005)
Chen S., Wang Y., Yao D., Song Z.: Absorption enhancement in 1D Ag/Si02 metallic-dielectric photonic crystals. Opt. Appl. 39, 473–479 (2009)
Dupertuis M.A., Proctor M., Acklin B.: Generalization of complex Snell-Descartes and Fresnel laws. J. Opt. Soc. Am. A 11, 1159–1166 (1994)
Duyar O., Placido F., Durusoy H.Z.: Optimization of TiO2 films prepared by reactive electron beam evaporation of Ti3O5. J. Phys. D Appl. Phys. 41, Article No. 095307 (2008) (1994)
Johnson P.B., Christy R.W.: Optical constants of the noble metals. Phys. Rev. B 6, 4370–4379 (1972)
Landau L.D., Lifshitz E.M., Pitaevskii L.P.: Electrodynamics of Continuous Media. 2nd edn. Butterworth-Heinemann, Oxford (1984)
Levin M.L.: Propagation of a plane electromagnetic wave in a periodic layered medium. Zh. Tekh. Fiz. 18, 1399–1404 (1948)
Mahan A.I.: Reflection and refraction at oblique incidence on a dielectric-metallic interface as a boundary value problem in electromagnetic theory. J. Opt. Soc. Am. A 46, 913–914 (1956)
Morozov G.V., Maev R.G., Drake G.W.F.: Switching electromagnetic waves by two-layered periodic dielectric structures. Phys. Rev. E 60, 4860–4867 (1999)
Nusinsky I., Hardy A.A.: Band-gap analysis of one-dimensional photonic crystals and conditions for gap closing. Phys. Rev. B 73, Article No. 125104 (2006) (1999)
Shen J., Yu H., Lu J.: Light propagation and reflection-refraction event in absorbing media. Chin. Opt. Lett. 8, 111–114 (2010)
Sprung D.W.L., Wu H., Martorell J.: Scattering by a finite periodic potential. Am. J. Phys. 61, 1118–1124 (1993)
Stratton J.A.: Electromagnetic Theory. McGraw-Hill, New York (1941)
Vitela J.E.: Electromagnetic waves in dissipative media revisited. Am. J. Phys. 72, 393–403 (2004)
Yeh P., Yariv A., Hong C.-S.: Electromagnetic propagation in periodic stratified media: general theory. J. Opt. Soc. Am. 67, 423–438 (1977)
Yu J., Shen Y., Liu X., Fu R., Zi J., Zhu Z.: Absorption in one-dimensional metallic-dielectric photonic crystals. J. Phys. Condens. Matter 16, L51–L56 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Morozov, G.V., Placido, F. Light propagation in 1D photonic crystals with dissipation. Opt Quant Electron 42, 473–485 (2011). https://doi.org/10.1007/s11082-010-9424-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11082-010-9424-9