Abstract

We theoretically study metal–dielectric structures made of bi-atomic metallic gratings coupled to a guided-mode dielectric resonator. The bi-atomic pattern grating allows tailoring of the Fourier spectrum of the inverse grating permittivity in order to adapt the frequency gap and obtain a flat dispersion band over a wide angular range. A significant enhancement (two-fold) of the angular tolerance as compared to a simply periodic structure is obtained.

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2012 (2)

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Proc. SPIE 8424, 842414 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, C. Dupuis, S. Collin, F. Pardo, R. Haïdar, and J.-L. Pelouard, Opt. Express 20, 13082 (2012).
[CrossRef]

2011 (2)

2010 (2)

P. Bouchon, F. Pardo, R. Haïdar, and J.-L. Pelouard, J. Opt. Soc. Am. A 27, 696 (2010).
[CrossRef]

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

2008 (1)

2007 (1)

2005 (1)

2004 (1)

2002 (1)

2001 (1)

1999 (1)

F. Lemarchand, A. Sentenac, E. Cambril, and H. Giovannini, J. Opt. A 1, 545 (1999).
[CrossRef]

1998 (1)

1995 (1)

1992 (1)

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

1990 (1)

Bagby, J. S.

Bardou, N.

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, C. Dupuis, S. Collin, F. Pardo, R. Haïdar, and J.-L. Pelouard, Opt. Express 20, 13082 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Proc. SPIE 8424, 842414 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Opt. Lett. 36, 3054 (2011).
[CrossRef]

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999).

Bouchon, P.

Cambril, E.

F. Lemarchand, A. Sentenac, E. Cambril, and H. Giovannini, J. Opt. A 1, 545 (1999).
[CrossRef]

Chang, J. Y.

Collin, S.

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Proc. SPIE 8424, 842414 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, C. Dupuis, S. Collin, F. Pardo, R. Haïdar, and J.-L. Pelouard, Opt. Express 20, 13082 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Opt. Lett. 36, 3054 (2011).
[CrossRef]

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Derelle, S.

Deschamps, J.

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Ding, Y.

Dupuis, C.

Estruch, T.

Fehrembach, A. L.

Ghenuche, P.

Giovannini, H.

F. Lemarchand, A. Sentenac, E. Cambril, and H. Giovannini, J. Opt. A 1, 545 (1999).
[CrossRef]

F. Lemarchand, A. Sentenac, and H. Giovannini, Opt. Lett. 23, 1149 (1998).
[CrossRef]

Guérineau, N.

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Haïdar, R.

Han, D. Z.

Hsu, C. L.

Huang, H. I.

Jaeck, J.

Lan, H. C.

Lee, C. C.

Lemarchand, F.

F. Lemarchand, A. Sentenac, E. Cambril, and H. Giovannini, J. Opt. A 1, 545 (1999).
[CrossRef]

F. Lemarchand, A. Sentenac, and H. Giovannini, Opt. Lett. 23, 1149 (1998).
[CrossRef]

Li, X.

Lin, J. S.

Liu, X. H.

Liu, Y. C.

Magnusson, R.

Maystre, D.

Moharam, M. G.

Pardo, F.

Pelouard, J.

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Pelouard, J.-L.

Primot, J.

Sakat, E.

Sentenac, A.

Su, C. C.

Tibuleac, S.

Tu, Z. R.

Vincent, G.

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, C. Dupuis, S. Collin, F. Pardo, R. Haïdar, and J.-L. Pelouard, Opt. Express 20, 13082 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Proc. SPIE 8424, 842414 (2012).
[CrossRef]

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Opt. Lett. 36, 3054 (2011).
[CrossRef]

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

Wang, S.

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

Wang, S. S.

Wolf, E.

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999).

Wu, F. Q.

Wu, M. L.

Zi, J.

Appl. Opt. (1)

Appl. Phys. Lett. (2)

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

R. Haïdar, G. Vincent, S. Collin, N. Bardou, N. Guérineau, J. Deschamps, and J. Pelouard, Appl. Phys. Lett. 96, 221104 (2010).
[CrossRef]

J. Opt. A (1)

F. Lemarchand, A. Sentenac, E. Cambril, and H. Giovannini, J. Opt. A 1, 545 (1999).
[CrossRef]

J. Opt. Soc. Am. A (4)

Opt. Express (2)

Opt. Lett. (6)

Proc. SPIE (1)

E. Sakat, G. Vincent, P. Ghenuche, N. Bardou, S. Collin, F. Pardo, J.-L. Pelouard, and R. Haïdar, Proc. SPIE 8424, 842414 (2012).
[CrossRef]

Other (1)

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Guided-mode resonance filter with two metallic SPGs deposited on each side of a free-standing dielectric layer. (b) Normal incidence spectra of guided-mode resonance filters with a metallic SPG on both sides (dark) and on one side (dashed green) of the dielectric layer. Geometric parameters are d=2.11μm, td=700nm, tm=100nm, a=250nm. (c) Bi-atomic metallic grating-based structure: insertion in the SPG of period d and slits a of perturbed a+l slits spaced at a d/2 period. (d) Blue: unperturbed guided-mode dispersion relation; red: perturbed guided-mode dispersion relation; opening of a gap and flattening of the band at normal incidence.

Fig. 2.
Fig. 2.

Spectral shift between the resonance wavelength at 0° and 10° [Δλ=λR(0°)λR(10°)] of bi-atomic structures as a function of parameters a and l; d=3μm, td=700nm, tm=100nm. Solid blue lines: structures with a and l such as Δλ=0; dashed green lines: structures that exhibit the higher negative spectral shift.

Fig. 3.
Fig. 3.

Calculated angle-resolved transmission diagrams as a function of the wavenumber σ and of the incident wavevector kx(0)=2πsin(θx)/λ for two bi-atomic structures; d=3μm, td=700nm, tm=100nm. (a) Structure A: a=200nm and l=500nm. (b) Structure B: a=300nm and l=600nm.

Fig. 4.
Fig. 4.

(a) Transmission at λR=4.02μm as a function of the incidence angle for one SPG structure (d=2.48μm, a=350nm, tm=100nm, td=700nm) and one bi-atomic structure (d=3μm, a=200nm, l=500nm, tm=100nm, td=700nm). Transmission spectra at different incidence angle for (b) the SPG structure and for (c) the bi-atomic structure.

Equations (2)

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ϵ(x)=q=q=+u(qKx)exp(iqKxx),
u(qKx)=1/ϵm1qπ[sin(qπ2(12a+ld))cos(qπ2(1+ld))].

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