Abstract

We propose and perform broadband angular filtering with the combination of a volume Bragg grating and a surface grating pair. The condition for broadband operation is discussed. Near-field modulation, contrast ratio, and power spectral density are used to evaluate the filtering performances in the spatial and frequency domain. Experimental results show that the bandwidth of the output beam through the grating combination is remarkably increased, and the medium and high frequencies are effectively eliminated.

© 2014 Optical Society of America

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References

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  1. J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
    [Crossref]
  2. Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
    [Crossref]
  3. X. Zhang, X. Yuan, S. Wu, J. S. Feng, K. S. Zou, and G. J. Zhang, Opt. Lett. 36, 2167 (2011).
    [Crossref]
  4. X. Zhang, F. Gao, J. S. Feng, K. S. Zou, and X. Yuan, Proc. SPIE 8962, 89620L (2014).
    [Crossref]
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    [Crossref]

2014 (2)

X. Zhang, F. Gao, J. S. Feng, K. S. Zou, and X. Yuan, Proc. SPIE 8962, 89620L (2014).
[Crossref]

X. Zhang, X. Yuan, J. S. Feng, F. Gao, B. X. Xiong, and K. S. Zou, Opt. Lett. 39, 663 (2014).
[Crossref]

2011 (1)

2006 (1)

K. M. You, S. C. Wen, and D. Y. Fan, Acta. Optica. Sinica. 26, 965 (2006).

1997 (1)

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

1996 (1)

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

1995 (1)

1977 (1)

1969 (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[Crossref]

Bennett, J. M.

Caulfield, H. J.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Elson, J. M.

Fan, D. Y.

K. M. You, S. C. Wen, and D. Y. Fan, Acta. Optica. Sinica. 26, 965 (2006).

Feng, J. S.

Fournier, J. M.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Gao, F.

X. Zhang, F. Gao, J. S. Feng, K. S. Zou, and X. Yuan, Proc. SPIE 8962, 89620L (2014).
[Crossref]

X. Zhang, X. Yuan, J. S. Feng, F. Gao, B. X. Xiong, and K. S. Zou, Opt. Lett. 39, 663 (2014).
[Crossref]

Hemmer, P.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[Crossref]

Korzinin, Y. L.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Leith, E. N.

Ludman, J. E.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Reinhand, N. O.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Riccobono, J. R.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Roth, J.

Semenova, I. V.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Shahriar, S. M.

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

Wen, S. C.

K. M. You, S. C. Wen, and D. Y. Fan, Acta. Optica. Sinica. 26, 965 (2006).

Wu, S.

Xiong, B. X.

You, K. M.

K. M. You, S. C. Wen, and D. Y. Fan, Acta. Optica. Sinica. 26, 965 (2006).

Yuan, X.

Zhang, G. J.

Zhang, X.

Zou, K. S.

Acta. Optica. Sinica. (1)

K. M. You, S. C. Wen, and D. Y. Fan, Acta. Optica. Sinica. 26, 965 (2006).

Appl. Opt. (2)

Bell Syst. Tech. J. (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
[Crossref]

Opt. Eng. (1)

J. E. Ludman, J. R. Riccobono, N. O. Reinhand, I. V. Semenova, Y. L. Korzinin, S. M. Shahriar, H. J. Caulfield, J. M. Fournier, and P. Hemmer, Opt. Eng. 36, 1700 (1997).
[Crossref]

Opt. Lett. (2)

Proc. SPIE (2)

X. Zhang, F. Gao, J. S. Feng, K. S. Zou, and X. Yuan, Proc. SPIE 8962, 89620L (2014).
[Crossref]

Y. L. Korzinin, N. O. Reinhand, I. V. Semenova, J. E. Ludman, J. R. Riccobono, S. M. Shahriar, and H. J. Caulfield, Proc. SPIE 2688, 109 (1996).
[Crossref]

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Figures (7)

Fig. 1.
Fig. 1.

Schematic diagram of grating combination in a sandwich configuration.

Fig. 2.
Fig. 2.

Schematic of broadband angular filtering with the grating combination.

Fig. 3.
Fig. 3.

Spectra of the beam through (a) a single VBG and (b) the grating combination with VBG and different surface grating pair. C.W. is the central wavelength.

Fig. 4.
Fig. 4.

Beam profile of (a) source beam, (b) diffracted beam through the VBG, (c) output beam through the grating combination, (d) modulated beam, and (e) filtered beam.

Fig. 5.
Fig. 5.

Intensity distribution of the modulated beam and filtered beam. The modulation mesh has a period of 1lp/mm and 2lp/mm, respectively.

Fig. 6.
Fig. 6.

PSD distribution of the modulated beam and filtered beam. a, b, c, d, and e in (a) correspond to the characteristic frequencies of 1, 3, 5, 7, and 9mm1, respectively. a, b, and c in (c) correspond to the characteristic frequencies of 2, 6, and 10mm1, respectively.

Fig. 7.
Fig. 7.

PSD distribution of the (a) source beam and (b) output beam through the grating combination (without modulation).

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

2ΛVsinθb=λ,
ΛSsinθ=λ,
ΛS=2ΛV.
PSD=|p(ν)|2/L=|P(m)|2/L,
PSD(m)=ΔxN|n=0N1p(n)ei2πnm/N|2,

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