Abstract

It was recently demonstrated that a photonic crystal slab can function as a mirror for externally incident light along a normal direction with near-complete reflectivity over a broad wavelength range. We analyze the angular and polarization properties of such photonic crystal slab mirror, and show such reflectivity occurs over a sizable angular range for both polarizations. We also show that such mirror can be designed to reflect one polarization completely, while allowing 100% transmission for the other polarization, thus behaving as a polarization splitter with a complete contrast. The theoretical analysis is validated by comparing with experimental measurements.

© 2004 Optical Society of America

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References

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Appl. Phys. Lett.

Wonjoo Suh, M. F. Yanik, Olav Solgaard, and Shanhui Fan, �??Displacement-sensitive photonic crystal structures based on guided resonance in photonic crystal slabs,�?? Appl. Phys. Lett. 82, 1999-2001 (2003).
[CrossRef]

R. Magnusson and S. S. Wang, �??New principle for optical filters,�?? Appl. Phys. Lett. 61, 1022-1024 (1991).
[CrossRef]

M. Kanskar, P. Paddon, V. Pacradouni, R. Morin, A. Busch, Jeff F. Young, S.R. Johnson, Jim MacKenzie, and T. Tiedje, �??Observation of leaky slab modes in an air-bridged semiconductor waveguide with a twodimensional photonic lattice,�?? Appl. Phys. Lett. 70, 1438-1440 (1997).
[CrossRef]

J. Lightwave Technol.

H. Sunnerrud, M. Karlsson, C. Xie, and P. A. Andrekson, �??Polarization-Mode Dispersion in High-Speed Fiber-Optic Transmission Systems,�?? J. Lightwave Technol. 20, 12 (2002).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Lett.

Phys. Rev. B

V. Lousse and J.P. Vigneron, �??Use of Fano resonances for bistable optical transfer through photonic-crystal films,�?? Phys. Rev. B 69 (2004) (to be published).
[CrossRef]

Shanhui Fan and J. D. Joannopoulos, �??Analysis of guided resonances in photonic crystal slabs,�?? Phys. Rev. B 65, 235112 1-8 (2002).
[CrossRef]

Phys. Rev. Lett.

J.B. Pendry and A. MacKinnon, �??Calculation of photon dispersion relations,�?? Phys. Rev. Lett. 69, 2772 - 2775 (1992).
[CrossRef] [PubMed]

Science

S. Noda, M. Yokoyama, M. Imada, A. Chutinan, and M. Mochizuki, �??Polarization Mode Control of Two- Dimensional Photonic Crystal Laser by Unit Cell Structure Design,�?? Science 293, 1123-1125 (2001).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1.
Fig. 1.

Photonic crystal structure consisting of a square lattice of circular air holes in a dielectric slab.

Fig. 2.
Fig. 2.

Angular study of the filter responses for the photonic crystal structure in Fig. 1. Three different values of the angle ϕ (given in degrees) were considered: ϕ=0 (Fig 2(a)), ϕ=25 (Fig 2(b)) and ϕ=45 (Fig 2(c)). For each of them, both possible incident polarizations were separately studied. The panels on the left are related to an incident TE-polarization, while those on the right correspond to the TM-polarization.

Fig. 3.
Fig. 3.

Color plots for the intensity of a single unit cell of the photonic crystal slab of Fig. 1. The center of the plots corresponds to the center of the cylindrical air hole in the unit cell, and the incidence considered here is normal. Within the figures, the vector plots of the in-plane electric field are superimposed.

Fig. 4.
Fig. 4.

(a) Photonic crystal slab structure with rectangular air holes for generating anisotropic spectral response. (b) Transmission spectrum upon normally incident light, through the photonic crystal slab represented on Fig 4(a). These calculations were done with the FDTD method. The x-polarized light (solid line) has 100% transmission while the y-polarized light (dotted red line) is completely reflected in a Lorentzian line shape.

Fig. 5.
Fig. 5.

(a) Fabricated photonic crystal silicon structure. (b) The experimental transmission spectrum is compared with FDTD simulations for a normally incident light with an infinite beam size.

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