Abstract

We present a new idea for diffuse source spectroscopy using a Fourier-transform volume holographic spectrometer formed by a Fourier-transform lens, a volume hologram, and a CCD. We show that this spectrometer can operate well under spatially incoherent light illumination. Furthermore, this spectrometer is less bulky, less sensitive to input alignment, and potentially more appropriate for implementation of highly sensitive spectrometers than conventional spectrometers.

© 2005 Optical Society of America

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References

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  1. Z. Xu, Z. Wang, M. E. Sullivan, D. J. Brady, S. H. Foulger, and A. Adibi, Opt. Express 11, 2126 (2003), http://www.opticsexpress.org.
    [CrossRef] [PubMed]
  2. A. Karbaschi, C. Hsieh, O. Momtahan, A. Adibi, M. E. Sullivan, and D. J. Brady, Opt. Express 12, 3018 (2004), http://www.opticsexpress.org.
    [CrossRef] [PubMed]
  3. O. Momtahan, C. Hsieh, A. Karbaschi, A. Adibi, M. E. Sullivan, and D. J. Brady, Appl. Opt. 43, 6557 (2004).
    [CrossRef]
  4. C. Hsieh, O. Momtahan, A. Karbaschi, A. Adibi, M. E. Sullivan, and D. J. Brady, Opt. Lett. 30, 186 (2005).
    [CrossRef] [PubMed]
  5. H. J. Coufal, D. Psaltis, G. T. Sincerbox, R. T. Ingwall, and D. Waldman, eds., Holographic Data Storage (Springer-Verlag, New York, 2000), pp. 171–197.
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, Singapore, 1996), pp. 101–108.

2005 (1)

2004 (2)

2003 (1)

Adibi, A.

Brady, D. J.

Foulger, S. H.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, Singapore, 1996), pp. 101–108.

Hsieh, C.

Karbaschi, A.

Momtahan, O.

Sullivan, M. E.

Wang, Z.

Xu, Z.

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Figures (4)

Fig. 1
Fig. 1

Schematics of the (a) recording and (b) reading setup for a SBVH spectrometer using a Fourier transform. The recording material is a sample of Aprilis photopolymer with thickness L. The spherical beam is formed by focusing a plane wave with a lens with focal length f 1 = 4.0 cm . The distance between the hologram and the point source is d. The angle between the plane-wave direction and normal to the medium is θ. The focal length of the Fourier-transform lens in the reading setup is f 2 .

Fig. 2
Fig. 2

Diffracted pattern measured (a) at the back face of the SBVH when read by a collimated laser beam ( λ = 532 nm ) , (b) at the back face of the SBVH, and (c) at the Fourier plane when the SBVH is read by diffuse monochromatic light ( λ = 532 nm ) .

Fig. 3
Fig. 3

Measured output intensity on the CCD in Fig. 1(b) when a SBVH is illuminated by a divergent laser beam with λ = 532 nm , formed by focusing the output light of a solid-state laser using a lens with a N.A. of 0.25 (a) without a diffuser, (b) with a static diffuser, and (c) with a rotating diffuser.

Fig. 4
Fig. 4

Normalized intensity versus the location along the horizontal axis ( x ) on the CCD in Fig. 1(b) for the SBVH described in the text. The hologram is read by a diffuse light (using a rotating diffuser) with a single wavelength at each time. The reading wavelength is scanned from λ = 482 nm to λ = 587 nm with 5-nm spacing.

Equations (5)

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g λ 1 , θ 1 ( x ) = f [ x Δ ( λ 1 , θ 1 ) ] exp { j [ k x ( λ 1 ) x + ϕ 1 ] } ,
g λ 1 ( x ) = m = 1 N f [ x Δ ( λ 1 , θ m ) ] exp { j [ k x ( λ 1 ) x + ϕ m ] } ,
G λ ( ω x ) 2 = F [ ω x k x ( λ ) ] 2 m = 1 N exp { j [ Δ ( λ , θ m ) ω x ϕ m ] } 2 ,
G λ ( ω x ) 2 = N F [ ω x k x ( λ ) ] 2 .
H λ ( x ) = G λ ( x λ f ) 2 = N F [ x λ f k x ( λ ) ] 2 .

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