Abstract

A compact static Fourier transform spectrometer for integrated optics is proposed. It is based on a plane leaky loop structure combined with a plane waveguide. The interference pattern produced in the loop structure leaks outside of it and is guided in the plane waveguide to the photodetector array. This configuration allows one to control the shape of the field pattern at the end of the plane waveguide. A large fringe pattern with a high interference fringe contrast is obtained. A two-dimensional model based on an aperiodic Fourier modal method is used to modelize the coupling between the bent and the plane waveguides, completed with the Helmholtz–Kirchhoff propagation. This concept gives access to plan and compact spectrometers requiring only a single low-cost realization process step. The simulation has been done to realize a spectrometer in glass integrated optics (Δλ=6.1nm at 1500nm).

© 2009 Optical Society of America

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References

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2007 (2)

2004 (1)

2001 (1)

1994 (1)

1988 (1)

1977 (1)

Barbier, D.

D. Barbier and R. L. Hyde, “Erbium-doped glass waveguide devices,” Integrated Optical Circuits and Components, E.Murphy, ed. (CRC Press, 1999), pp. 89, 705.

Bhatia, A. B.

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge U. Press, 1999).
[PubMed]

Born, M.

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge U. Press, 1999).
[PubMed]

Brandenburg, A.

Broquin, J.-E.

D. Bucci, J. Grelin, E. Ghibaudo, and J.-E. Broquin, IEEE Photon. Technol. Lett. 19, 698 (2007).
[CrossRef]

Bucci, D.

D. Bucci, J. Grelin, E. Ghibaudo, and J.-E. Broquin, IEEE Photon. Technol. Lett. 19, 698 (2007).
[CrossRef]

Burns, W. K.

Cao, Q.

Cheben, P.

De Rooij, N.

Delge, A.

Densmore, A.

Ghibaudo, E.

D. Bucci, J. Grelin, E. Ghibaudo, and J.-E. Broquin, IEEE Photon. Technol. Lett. 19, 698 (2007).
[CrossRef]

Grelin, J.

D. Bucci, J. Grelin, E. Ghibaudo, and J.-E. Broquin, IEEE Photon. Technol. Lett. 19, 698 (2007).
[CrossRef]

Henninger, R.

Herzig, H.

Hocker, G. B.

Hugonin, J.

Hyde, R. L.

D. Barbier and R. L. Hyde, “Erbium-doped glass waveguide devices,” Integrated Optical Circuits and Components, E.Murphy, ed. (CRC Press, 1999), pp. 89, 705.

Janz, S.

Lalanne, P.

Lamontagne, B.

Lapointe, J.

Manzardo, O.

Michaely, R.

Noell, W.

Overstolz, T.

Post, E.

Roddier, F.

Schdelin, F.

Schmid, J. H.

Shaklan, S.

Silberstein, E.

Waldron, P.

Wolf, E.

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge U. Press, 1999).
[PubMed]

Xu, D.-X.

Appl. Opt. (3)

IEEE Photon. Technol. Lett. (1)

D. Bucci, J. Grelin, E. Ghibaudo, and J.-E. Broquin, IEEE Photon. Technol. Lett. 19, 698 (2007).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Express (1)

Opt. Lett. (1)

Other (2)

M. Born, E. Wolf, and A. B. Bhatia, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge U. Press, 1999).
[PubMed]

D. Barbier and R. L. Hyde, “Erbium-doped glass waveguide devices,” Integrated Optical Circuits and Components, E.Murphy, ed. (CRC Press, 1999), pp. 89, 705.

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Figures (5)

Fig. 1
Fig. 1

Scheme of the LLIFTS.

Fig. 2
Fig. 2

Conformal mapping of the loop structure.

Fig. 3
Fig. 3

Application of the Helmholtz–Kirchhoff theorem.

Fig. 4
Fig. 4

Simulated spectra from different monochromatic excitation signals.

Fig. 5
Fig. 5

Simulated spectra from different monochromatic excitation signals. The upper figure considers a straight waveguide aligned to the bent one. The lower figure considers a shift of the straight waveguide.

Tables (1)

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Table 1 Structure Parameters

Equations (2)

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s ( y ) = n = N n = N s ( y ) δ ( y n Δ y ) ,
S ( σ f ) = n = N n = N s ( n Δ y ) e 2 ı π σ f arctan ( n Δ y L 1 ) L ( 1 + ( n Δ y L 1 ) 2 ) ,

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