Abstract

We present a brief tutorial overview of the basic physics of periodically modulated index structures and how they affect an incident electromagnetic wave in various simple limits. Discussions of the wave-vector spectrum, coupled-amplitude equations, and finite grating-size effects are included. We also discuss ways of implementing modulated index structures.

© 1990 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. W. Cook, “The reflection and transmission of light by any system of parallel isotropic films,” J. Opt. Soc. Am. 38, 954–964 (1948).
    [CrossRef]
  2. O. S. Heavens, Optical Properties of Thin Solid Films (Butterworth, London, 1955).
  3. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  4. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chap. 8.
  5. T. Fukuzawa, M. Nakamura, “Mode coupling in thin-film chirped gratings,” Opt. Lett. 4, 343–345 (1979).
    [CrossRef] [PubMed]
  6. L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” IEEE J. Lightwave Technol. 6, 1069–1082 (1988), and references therein.
    [CrossRef]
  7. A. Sommerfeld, Optics (Academic, New York, 1964), pp. 180–183.
  8. A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), Chap. 19.
  9. H. Kogelnik, C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327–2335 (1972).
    [CrossRef]
  10. D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
    [CrossRef]
  11. R. W. Gruhlke, D. G. Hall, “Band structure for dissimilar electromagnetic waves in a periodic structure,” Phys. Rev. B 40, 5367–5371 (1989).
    [CrossRef]
  12. V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
    [CrossRef]
  13. T. G. Brown, University of Rochester, Rochester, New York 14627 (personal communication).
  14. W. R. Klein, W. D. Cook, “Unified approach to ultrasonic light deflection,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
    [CrossRef]
  15. N. S. N. Nath, “The diffraction of light by supersonic waves,” Proc. Indian Acad. Sci. Sect. A 8, 499–503 (1938).
  16. M. G. Moharam, L. Young, “Criterion for Bragg and Raman-Nath diffraction regimes,” Appl. Opt. 17, 1757–1759 (1978).
    [CrossRef] [PubMed]
  17. H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1985), p. 103.

1989 (1)

R. W. Gruhlke, D. G. Hall, “Band structure for dissimilar electromagnetic waves in a periodic structure,” Phys. Rev. B 40, 5367–5371 (1989).
[CrossRef]

1988 (2)

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” IEEE J. Lightwave Technol. 6, 1069–1082 (1988), and references therein.
[CrossRef]

1987 (1)

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

1979 (1)

1978 (1)

1972 (1)

H. Kogelnik, C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327–2335 (1972).
[CrossRef]

1967 (1)

W. R. Klein, W. D. Cook, “Unified approach to ultrasonic light deflection,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
[CrossRef]

1948 (1)

1938 (1)

N. S. N. Nath, “The diffraction of light by supersonic waves,” Proc. Indian Acad. Sci. Sect. A 8, 499–503 (1938).

Born, M.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chap. 8.

Brown, T. G.

T. G. Brown, University of Rochester, Rochester, New York 14627 (personal communication).

Celli, V.

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

Cook, A. W.

Cook, W. D.

W. R. Klein, W. D. Cook, “Unified approach to ultrasonic light deflection,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
[CrossRef]

Fukuzawa, T.

Gruhlke, R. W.

R. W. Gruhlke, D. G. Hall, “Band structure for dissimilar electromagnetic waves in a periodic structure,” Phys. Rev. B 40, 5367–5371 (1989).
[CrossRef]

Hall, D. G.

R. W. Gruhlke, D. G. Hall, “Band structure for dissimilar electromagnetic waves in a periodic structure,” Phys. Rev. B 40, 5367–5371 (1989).
[CrossRef]

L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” IEEE J. Lightwave Technol. 6, 1069–1082 (1988), and references therein.
[CrossRef]

Haruna, M.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1985), p. 103.

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworth, London, 1955).

Heitman, D.

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

Klein, W. R.

W. R. Klein, W. D. Cook, “Unified approach to ultrasonic light deflection,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
[CrossRef]

Kogelnik, H.

H. Kogelnik, C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327–2335 (1972).
[CrossRef]

Kroo, N.

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

Maradudin, A. A.

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

Mills, D. L.

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

Moharam, M. G.

Nakamura, M.

Nath, N. S. N.

N. S. N. Nath, “The diffraction of light by supersonic waves,” Proc. Indian Acad. Sci. Sect. A 8, 499–503 (1938).

Nishihara, H.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1985), p. 103.

Schultz, C.

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

Shank, C. V.

H. Kogelnik, C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327–2335 (1972).
[CrossRef]

Sommerfeld, A.

A. Sommerfeld, Optics (Academic, New York, 1964), pp. 180–183.

Suhara, T.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1985), p. 103.

Szentirmay, Z.

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

Tran, P.

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

Weller-Brophy, L. A.

L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” IEEE J. Lightwave Technol. 6, 1069–1082 (1988), and references therein.
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chap. 8.

Yariv, A.

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), Chap. 19.

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

Young, L.

Appl. Opt. (1)

IEEE J. Lightwave Technol. (1)

L. A. Weller-Brophy, D. G. Hall, “Local normal mode analysis of guided mode interactions with waveguide gratings,” IEEE J. Lightwave Technol. 6, 1069–1082 (1988), and references therein.
[CrossRef]

IEEE Trans. Sonics Ultrason. (1)

W. R. Klein, W. D. Cook, “Unified approach to ultrasonic light deflection,” IEEE Trans. Sonics Ultrason. SU-14, 123–134 (1967).
[CrossRef]

J. Appl. Phys. (1)

H. Kogelnik, C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys. 43, 2327–2335 (1972).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (1)

Phys. Rev. B (3)

D. Heitman, N. Kroo, C. Schultz, Z. Szentirmay, “Dispersion anomalies of surface plasmons on corrugated metal-insulator interfaces,” Phys. Rev. B 35, 2660–2666 (1987).
[CrossRef]

R. W. Gruhlke, D. G. Hall, “Band structure for dissimilar electromagnetic waves in a periodic structure,” Phys. Rev. B 40, 5367–5371 (1989).
[CrossRef]

V. Celli, P. Tran, A. A. Maradudin, D. L. Mills, “k-gaps for surface polaritions on gratings,” Phys. Rev. B 37, 9089–9092 (1988).
[CrossRef]

Proc. Indian Acad. Sci. Sect. A (1)

N. S. N. Nath, “The diffraction of light by supersonic waves,” Proc. Indian Acad. Sci. Sect. A 8, 499–503 (1938).

Other (7)

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworth, London, 1955).

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chap. 8.

H. Nishihara, M. Haruna, T. Suhara, Optical Integrated Circuits (McGraw-Hill, New York, 1985), p. 103.

T. G. Brown, University of Rochester, Rochester, New York 14627 (personal communication).

A. Sommerfeld, Optics (Academic, New York, 1964), pp. 180–183.

A. Yariv, Quantum Electronics, 2nd ed. (Wiley, New York, 1975), Chap. 19.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics