Abstract

A bandpass filter based on guided-mode resonance effects in a single-layer periodic waveguide is presented. Strong refractive-index modulation is used to support the excitation of a resonance pair in which leaky waveguide mode TE0 is excited by the second diffraction order and TE2 by the first diffraction order. It is shown that one resonance provides a broad low-transmission band, whereas the other supplies the transmission peak through its asymmetrical line shape. A bandpass filter with central wavelength at 1.55 µm is presented to demonstrate this concept.

© 2004 Optical Society of America

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    [CrossRef]
  2. R. Magnusson and S. S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
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    [CrossRef] [PubMed]
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    [CrossRef]
  8. L. Mashev and E. Popov, Opt. Commun. 55, 377 (1985).
    [CrossRef]
  9. P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
    [CrossRef]
  10. R. Magnusson and S. S. Wang, Appl. Opt. 34, 8106 (1995).
    [CrossRef] [PubMed]
  11. S. Tibuleac and R. Magnusson, J. Opt. Soc. Am. A 14, 1617 (1997).
    [CrossRef]
  12. S. Tibuleac and R. Magnusson, Opt. Lett. 26, 584 (2001).
    [CrossRef]
  13. T. K. Gaylord and M. G. Moharam, Proc. IEEE 73, 894 (1985).
    [CrossRef]
  14. R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
    [CrossRef]

2003

P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
[CrossRef]

2001

1998

1997

D. Rosenblatt, A. Sharon, and A. A. Friesem, IEEE J. Quantum Electron. 33, 2038 (1997).
[CrossRef]

S. Tibuleac and R. Magnusson, J. Opt. Soc. Am. A 14, 1617 (1997).
[CrossRef]

1996

R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
[CrossRef]

S. Peng and G. M. Morris, J. Opt. Soc. Am. A 13, 993 (1996).
[CrossRef]

1995

1993

1992

R. Magnusson and S. S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

1990

M. T. Gale, K. Knop, and R. H. Morf, Proc. SPIE 1210, 83 (1990).
[CrossRef]

1989

I. A. Avrutsky and V. A. Sychugov, J. Mod. Opt. 36, 1527 (1989).
[CrossRef]

1985

L. Mashev and E. Popov, Opt. Commun. 55, 377 (1985).
[CrossRef]

T. K. Gaylord and M. G. Moharam, Proc. IEEE 73, 894 (1985).
[CrossRef]

Avrutsky, I. A.

I. A. Avrutsky and V. A. Sychugov, J. Mod. Opt. 36, 1527 (1989).
[CrossRef]

Brundrett, D. L.

Day, R. W.

R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
[CrossRef]

Friesem, A. A.

D. Rosenblatt, A. Sharon, and A. A. Friesem, IEEE J. Quantum Electron. 33, 2038 (1997).
[CrossRef]

Gale, M. T.

M. T. Gale, K. Knop, and R. H. Morf, Proc. SPIE 1210, 83 (1990).
[CrossRef]

Gaylord, T. K.

Glytsis, E. N.

Knop, K.

M. T. Gale, K. Knop, and R. H. Morf, Proc. SPIE 1210, 83 (1990).
[CrossRef]

Magnusson, R.

P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
[CrossRef]

S. Tibuleac and R. Magnusson, Opt. Lett. 26, 584 (2001).
[CrossRef]

S. Tibuleac and R. Magnusson, J. Opt. Soc. Am. A 14, 1617 (1997).
[CrossRef]

R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
[CrossRef]

R. Magnusson and S. S. Wang, Appl. Opt. 34, 8106 (1995).
[CrossRef] [PubMed]

S. S. Wang and R. Magnusson, Appl. Opt. 32, 2606 (1993).
[CrossRef] [PubMed]

R. Magnusson and S. S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

Maldonado, T. A.

P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
[CrossRef]

Mashev, L.

L. Mashev and E. Popov, Opt. Commun. 55, 377 (1985).
[CrossRef]

Moharam, M. G.

T. K. Gaylord and M. G. Moharam, Proc. IEEE 73, 894 (1985).
[CrossRef]

Morf, R. H.

M. T. Gale, K. Knop, and R. H. Morf, Proc. SPIE 1210, 83 (1990).
[CrossRef]

Morris, G. M.

Peng, S.

Popov, E.

L. Mashev and E. Popov, Opt. Commun. 55, 377 (1985).
[CrossRef]

Priambodo, P. S.

P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
[CrossRef]

Rosenblatt, D.

D. Rosenblatt, A. Sharon, and A. A. Friesem, IEEE J. Quantum Electron. 33, 2038 (1997).
[CrossRef]

Sharon, A.

D. Rosenblatt, A. Sharon, and A. A. Friesem, IEEE J. Quantum Electron. 33, 2038 (1997).
[CrossRef]

Sychugov, V. A.

I. A. Avrutsky and V. A. Sychugov, J. Mod. Opt. 36, 1527 (1989).
[CrossRef]

Tibuleac, S.

Wang, S. S.

R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
[CrossRef]

R. Magnusson and S. S. Wang, Appl. Opt. 34, 8106 (1995).
[CrossRef] [PubMed]

S. S. Wang and R. Magnusson, Appl. Opt. 32, 2606 (1993).
[CrossRef] [PubMed]

R. Magnusson and S. S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

P. S. Priambodo, T. A. Maldonado, and R. Magnusson, Appl. Phys. Lett. 83, 3248 (2003).
[CrossRef]

R. Magnusson and S. S. Wang, Appl. Phys. Lett. 61, 1022 (1992).
[CrossRef]

IEEE J. Quantum Electron.

D. Rosenblatt, A. Sharon, and A. A. Friesem, IEEE J. Quantum Electron. 33, 2038 (1997).
[CrossRef]

J. Lightwave Technol.

R. W. Day, S. S. Wang, and R. Magnusson, J. Lightwave Technol. 14, 1815 (1996).
[CrossRef]

J. Mod. Opt.

I. A. Avrutsky and V. A. Sychugov, J. Mod. Opt. 36, 1527 (1989).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Commun.

L. Mashev and E. Popov, Opt. Commun. 55, 377 (1985).
[CrossRef]

Opt. Lett.

Proc. IEEE

T. K. Gaylord and M. G. Moharam, Proc. IEEE 73, 894 (1985).
[CrossRef]

Proc. SPIE

M. T. Gale, K. Knop, and R. H. Morf, Proc. SPIE 1210, 83 (1990).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Resonant periodic waveguide diffraction model: Si, complex amplitudes of the diffracted waves; nc and ns, refractive indices of regions 1 and 3, respectively; nf, effective refractive index of the periodic waveguide, with nf=Fnh2+1-Fnl21/2; Λ, grating period; F, fill factor; d, thickness of the waveguide; I, incident wave; R, reflected wave; T, transmitted wave.

Fig. 2
Fig. 2

Estimated resonance locations based on the eigenfunction of the equivalent homogeneous waveguide. Parameters used: nc=1, ns=1.3, nf=2.94.

Fig. 3
Fig. 3

Fourier grating harmonics q/0 as functions of fill factor for a rectangular waveguide grating profile.

Fig. 4
Fig. 4

Reflectance spectra for a resonant waveguide grating filter for various modulation strengths with nf=2.94 maintained constant. Parameters used: d=0.62 µm, Λ=1.12 µm, F=0.44, nc=1, and ns=1.3.

Fig. 5
Fig. 5

Spectra of the final design.

Fig. 6
Fig. 6

Angular spectra of the final design at 1.55 µm.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

Nv=βv/kmλ/Λ,
nf>mmaxnc,ns.
x=q=-+q expjqKx,

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