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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 5 — May. 1, 1999
  • pp: 1097–1107

Application of the complex Poynting theorem to diffraction gratings

John M. Jarem and Partha P. Banerjee  »View Author Affiliations


JOSA A, Vol. 16, Issue 5, pp. 1097-1107 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001097


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Abstract

The complex Poynting theorem has been used to study power flow and energy storage for the case in which a plane wave (polarization wherein the electric field is in the plane of incidence) is scattered from a generally lossy, anisotropic, non-Hermitian diffraction grating. The full electromagnetic fields of the diffraction grating system were specified, and, in applying the complex Poynting theorem to the grating system, a full calculation of the diffraction efficiency, the electromagnetic (electric and magnetic) energy, and the real, reactive, dissipative, and evanescent power of the grating was made. A step profile grating was used to test numerical examples, and, in all cases considered, the complex Poynting theorem was obeyed to a high degree of numerical accuracy. In the study the effects that anisotropy and lossiness of the grating system had on the complex power of the system were illustrated. A comparison of the complex power that resulted from scattering from diffraction gratings composed of Hermitian and non-Hermitian anisotropic materials was numerically studied.

© 1999 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(160.1190) Materials : Anisotropic optical materials

History
Original Manuscript: August 4, 1998
Revised Manuscript: December 9, 1998
Manuscript Accepted: December 18, 1998
Published: May 1, 1999

Citation
John M. Jarem and Partha P. Banerjee, "Application of the complex Poynting theorem to diffraction gratings," J. Opt. Soc. Am. A 16, 1097-1107 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-5-1097


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References

  1. M. G. Moharam, T. K. Gaylord, “Rigorous coupled-wave analysis of planar grating diffraction,” J. Opt. Soc. Am. 71, 811–818 (1981). [CrossRef]
  2. K. Rokushima, J. Yamakita, “Analysis of anisotropic dielectric gratings,” J. Opt. Soc. Am. 73, 901–908 (1983). [CrossRef]
  3. M. G. Moharam, T. K. Gaylord, “Three-dimensional vector coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 73, 1105–1112 (1983). [CrossRef]
  4. M. G. Moharam, T. K. Gaylord, “Diffraction analysis of dielectric surface-relief gratings,” J. Opt. Soc. Am. 72, 1385–1392 (1987). [CrossRef]
  5. M. G. Moharam, “Coupled-wave analysis of two-dimensional dielectric gratings,” in Holographic Optics: Design and Applications, I. Cindrich, ed., Proc. SPIE883, 8–11 (1988). [CrossRef]
  6. E. N. Glytsis, T. K. Gaylord, “Rigorous three-dimensional coupled-wave diffraction analysis of single and cascaded anisotropic gratings,” J. Opt. Soc. Am. A 4, 2061–2080 (1987). [CrossRef]
  7. M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, “Formulation for stable and efficient implementation of rigorous coupled-wave analysis of binary gratings: enhanced transmittance approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995). [CrossRef]
  8. M. G. Moharam, D. A. Pommet, E. B. Grann, T. K. Gaylord, “Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings: enhanced transmittance approach,” J. Opt. Soc. Am. A 12, 1077–1086 (1995). [CrossRef]
  9. M. G. Moharam, T. K. Gaylord, “Coupled-wave analysis of reflection gratings,” Appl. Opt. 20, 240–244 (1981). [CrossRef] [PubMed]
  10. Z. Zylberberg, E. Marom, “Rigorous coupled-wave analysis of pure reflection gratings,” J. Opt. Soc. Am. 73, 392–398 (1983). [CrossRef]
  11. M. G. Moharam, T. K. Gaylord, “Comments on analyses of reflection gratings,” J. Opt. Soc. Am. 73, 399–401 (1983). [CrossRef]
  12. J. M. Jarem, “Rigorous coupled wave theory solution of phi-periodic circular cylindrical dielectric systems,” J. Electromagn. Waves Appl. 11, 197–213 (1997). [CrossRef]
  13. J. M. Jarem, “Rigorous coupled wave theory of anisotropic, azimuthally-inhomogeneous cylindrical systems,” Prog. Electromagn. Res. 19, 109–128 (1998). [CrossRef]
  14. J. M. Jarem, “Rigorous coupled-wave-theory analysis of dipole scattering from a three-dimensional, inhomogeneous, spherical dielectric and permeable system,” IEEE Trans. Microwave Theory Tech. 45, 1193–1203 (1997). [CrossRef]
  15. J. M. Jarem, “A rigorous coupled wave theory and crossed diffraction grating analysis of radiation and scattering from three-dimensional inhomogeneous objects,” IEEE Trans. Antennas Propag. 46, 740–741 (1998). [CrossRef]
  16. J. M. Jarem, P. Banerjee, “An exact, dynamical analysis of the Kukhtarev equations in photorefractive barium ti-tanate using rigorous wave coupled wave diffraction theory,” J. Opt. Soc. Am. A 13, 819–831 (1996). [CrossRef]
  17. P. St. J. Russell, “Power conservation and field structures in uniform dielectric gratings,” J. Opt. Soc. Am. A 1, 293–299 (1984). [CrossRef]
  18. R. Petit, G. Tayeb, “On the use of the energy balance criteria as a check of validity of computations in grating theory,” in Application and Theory of Periodic Structures, Diffraction Gratings, and Moire Phenomena III, J. M. Lerner, ed., Proc. SPIE815, 2–10 (1987). [CrossRef]
  19. C. Botten, M. S. Craig, R. C. McPhedran, J. L. Adams, J. R. Andrewarthar, “The finitely conducting lamellar diffraction grating,” Opt. Acta 28, 1087–1102 (1981). [CrossRef]
  20. E. Popov, L. Tsonev, D. Maystre, “Gratings—general properties of the Littrow mounting and energy flow distribution,” J. Mod. Opt. 37, 367–377 (1990). [CrossRef]
  21. E. Popov, L. Tsonev, D. Maystre, “Losses of plasmon surface waves on metallic grating,” J. Mod. Opt. 37, 379–387 (1990). [CrossRef]
  22. E. Popov, L. Tsonev, D. Maystre, “Total absorption of light by metallic gratings and energy flow distribution,” Surf. Sci. 230, 290–294 (1990). [CrossRef]
  23. E. Popov, “Light diffraction by relief gratings: a macroscopic and microscopic view,” Prog. Opt. 31, 141–187 (1993).
  24. B. W. Shore, L. Li, M. D. Feit, “Poynting vectors and electric field distributions in simple dielectric gratings,” J. Mod. Opt. 44, 69–81 (1997). [CrossRef]
  25. R. F. Harrington, “Complex power,” in Time Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1961), Sec. 1–10.
  26. H. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, New York, 1984), Sec. 11.1.
  27. J. Yamakita, K. Rokushima, “Modal expansion for dielectric gratings with rectangular grooves,” in Application, Theory, and Fabrication of Periodic Structures, Diffraction Gratings, and Moire Phenomena II, J. M. Lerner, ed., Proc. SPIE503, 239–243 (1984), Fig. 5. [CrossRef]
  28. P. N. Butcher, D. Cotter, The Elements of Nonlinear Optics (Cambridge U. Press, Cambridge, UK, 1990), p. 127.

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