Abstract

A space-variant photonic crystal filter is designed and optimized that may be placed over a detector array to perform filtering functions tuned for each pixel. The photonic crystal is formed by etching arrays of holes through a multilayer stack of alternating high and low refractive index materials. Position of a narrow transmission notch within a wide reflection band is varied across the device aperture by adjusting the diameter of the holes. Numerical simulations are used to design and optimize the geometry of the photonic crystal. As a result of physics inherent in the etching process, the diameter of the holes reduces with depth, producing a taper. Optical performance was found to be sensitive to the taper, but a method for compensation was developed where film thickness is varied through the device.

© 2007 Optical Society of America

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References

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2006 (1)

P. Srinivasan, R. C. Rumpf, and E. G. Johnson, "Fabrication of 3D photonic crystals by two-step dry etching of layered media," Proc. SPIE 6110, 611006 (2006).
[CrossRef]

2003 (1)

2001 (1)

1998 (1)

1995 (2)

1990 (1)

K. M. Leung and Y. F. Liu, "Photon band structures: the plane-wave method," Phys. Rev. B 41, 10188-10190 (1990).
[CrossRef]

1970 (1)

W. S. Boyle and G. E. Smith, "Charge coupled semiconductor devices," Bell Syst. Tech. J. 49, 587-593 (1970).

Bell Syst. Tech. J. (1)

W. S. Boyle and G. E. Smith, "Charge coupled semiconductor devices," Bell Syst. Tech. J. 49, 587-593 (1970).

J. Opt. Soc. Am. A (3)

Opt. Express (2)

Phys. Rev. B (1)

K. M. Leung and Y. F. Liu, "Photon band structures: the plane-wave method," Phys. Rev. B 41, 10188-10190 (1990).
[CrossRef]

Proc. SPIE (1)

P. Srinivasan, R. C. Rumpf, and E. G. Johnson, "Fabrication of 3D photonic crystals by two-step dry etching of layered media," Proc. SPIE 6110, 611006 (2006).
[CrossRef]

Other (2)

G. R. Fowles, Introduction to Modern Optics (Dover, 1975).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1970).

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Figures (8)

Fig. 1
Fig. 1

Concept for a highly compact color imaging system. A space-variant photonic crystal is formed over any array of detectors so that adjacent pixels can detect different colors.

Fig. 2
Fig. 2

Photonic band diagrams for square and hexagonal lattice symmetries. Both provide similar optical performance, but the dimensions of the hexagonal array can be made larger.

Fig. 3
Fig. 3

Optimization of lattice parameters for the widest partial photonic bandgap.

Fig. 4
Fig. 4

Optimization of GaAs undercut. The width of the bandgap is decreased until a significant breakeven undercut is achieved.

Fig. 5
Fig. 5

Position of the transmission notch as a function of the etched hole radius for a hexagonal array.

Fig. 6
Fig. 6

Comparison of transmission through an ideal device, a device with a hole taper, and a tapered device with compensation and using a hexagonal array of holes. The compensated device maintains the position of the transmission notch.

Fig. 7
Fig. 7

Longitudinal period as a function of hole radius to maintain the position of the partial photonic bandgap using a hexagonal array of holes.

Fig. 8
Fig. 8

Performance of the real device with a hexagonal array of holes at oblique angles of incidence. The diagram at right shows how angles of incidence are defined along the horizontal axes of the plots at left.

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