Abstract

Light transmission through a slab of two-dimensional photonic crystal is known to present forbidden gaps. By a particular choice of he surface cut of the slab, it is possible to introduce modes guided in the vicinity of the crystal surface, which can have propagation constants lying inside the forbidden gap. These modes can be excited using additional diffraction gratings positioned onto the surfaces. This resonant excitation introduces defects in the gap that can lead to a narrow-band transmission with a 100% maximum. By working near normal incidence, it is possible to use the flattening of the mode dispersion curve near the Bragg cell boundaries and to reduce the requirements for beam parallelism, while preserving the strong spectral selectivity.

© 2005 Optical Society of America

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References

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Appl Opt.

E. Popov, B. Bozhkov, and M. Nevière, �??Almost perfect blazing by photonic crystal rod gratings,�?? Appl Opt. 40, 2417-2422 (2001)
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

A.-L. Fehrembach and A. Sentenac , �??Unpolarized narrow-band filtering with resonant gratings,�?? Appl. Phys. Lett. 86, 121105 (2005)
[CrossRef]

Electromagnetic Surface Modes

D. Maystre, �??General study of grating anomalies from electromagnetic surface modes,�?? in Electromagnetic Surface Modes, A. D. Boardman, ed. (John Wiley, 1982), ch.17

J. Opt. Soc. Am. A

Opt. Acta

E. Popov, L. Mashev and D. Maystr, �??Theoretical Study of the Anomalies of Coated Dielectric Gratings,�?? Opt. Acta 33, 607 (1986)
[CrossRef]

Opt. Commun.

L. Mashev and E. Popov, �??Zero Order Anomaly of Dielectric Coated Grating,�?? Opt. Commun. 55, 377-380 (1985)
[CrossRef]

Opt. Express

Phys. Rev. B

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, �??Electromagnetic Bloch waves at the surface of a photonic crystal,�?? Phys. Rev. B 44, R10961 (1991)
[CrossRef]

F. Ramos-Mendieta, and P. Halevi, �??Surface electromagnetic waves in two-dimensional photonic crystals: Effect of the position of the surface plane,�?? Phys. Rev. B 59, 15112 (1999)
[CrossRef]

Phys. Rev. Lett.

K.M. Ho, C.T. Chan and C.M. Soukoulis, �??Existence of photonic gap in periodic dielectric structures,�?? Phys. Rev. Lett. 65, 3152-3155 (1990)
[CrossRef] [PubMed]

Other

J. Joannopoulos, R. Meade, and J. Winn, Photonic crystals: Molding the flow of light, Princeton University Press, 1995

M. Nevière and E. Popov; Light Propagation in Periodic Media, Marcel Dekker, New York, 2003 14.

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Figures (7)

Fig. 1.
Fig. 1.

Schematic representation of a two-dimensional photonic crystal slab and its optogeometrical parameters

Fig. 2.
Fig. 2.

The band-gap structure of the photonic crystal presented in Fig. 1 and the dispersion curve of the guided surface-induced TM mode. The parameter kx is the normalized x-component of the wavevector k⃗: k x = 2 π d k · x = λ d sin θ (for θ, see Fig. 3). The thin ligh presents the light cone and the thick line, the mode dispersion curve

Fig. 3.
Fig. 3.

Schematic representation of the in-coupling gratings having twice the period D = 2d and thickness t, made of the same dielectric material as the crystal. Incident wave comes from the left and generates a reflected and a transmitted waves

Fig. 4.
Fig. 4.

Resonances in the spectral (a) and angular (b) responses of the system presented in Fig. 3 with t/d = 0.002 and working in non-normal incidence. The wavelength and angular parameters are indicated in the figure.

Fig. 5.
Fig. 5.

As in Fig. 4 but working close to normal incidence. The thin curve in Fig. 5(a) corresponds to different thicknesses of the supplementary gratings in Fig. 3, the left grating is 0.002d thick, while the right grating is twice thinner.

Fig. 6.
Fig. 6.

As in Fig. 5 but with thicker supplementary gratings, t/d = 0.0048 instead of 0.002

Fig. 7.
Fig. 7.

As in Fig. 6(b), but for different in-coupling grating parameters

Equations (3)

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sin θ + n λ D = α g
α g = k g k 0 .
A n = c n α α n z α α p

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