Abstract

Large aperture can be easily achieved by employing photon sieves fabricated on the stitching membrane, which are suitable for packaging and folding. We have done research to find out the image quality degradation caused by stitching. A simulation has been done to investigate the behavior of the stitching wavefront. 10×10 pieces have been used as a model, and their wavefront error has been evaluated using the wavefront method discussed in this work. Besides, we find that the errors in the outer zones are more remarkable than in the inner ones of the same photon sieve. Testing and alignment directions based on this method are also mentioned in this work.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Hyde, “Eyeglass: a very large aperture diffractive telescopes,” Appl. Opt. 38, 4198–4212 (1999).
    [CrossRef]
  2. G. Andersen and D. Tullson, “Broadband antihole photon sieve telescope,” Appl. Opt. 46, 3706–3708 (2007).
    [CrossRef]
  3. P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
    [CrossRef]
  4. P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
    [CrossRef]
  5. L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
    [CrossRef]
  6. Q. Cao and J. Jahns, “Focusing analysis of the pinhole photon sieve: individual far-field model,” J. Opt. Soc. Am. A 19, 2387–2393 (2002).
    [CrossRef]
  7. Q. Cao and J. Jahns, “Nonparaxial model for the focusing of high-numerical aperture photon sieves,” J. Opt. Soc. Am. A 20, 1005–1012 (2003).
    [CrossRef]
  8. G. Andersen, “Membrane photon sieve telescopes,” Appl. Opt. 49, 6391–6394 (2010).
    [CrossRef]
  9. H. Zhang, H. Liu, Z. Lu, and H. Zhang, “Modified phase function model for kinoform lenses,” Appl. Opt. 47, 4055–4060 (2008).
    [CrossRef]
  10. G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).
  11. Zemax Development Corporation, “User’s Guide,” www.zemax.com.

2012

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

2011

P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
[CrossRef]

2010

2008

2007

2006

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

2003

2002

2001

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

1999

Adelung, R.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Andersen, G.

Atcheson, P.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Berndt, R.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Britten, J. A.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Cao, Q.

Cheng, G.-X.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Cole, J.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Deba, P.

P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
[CrossRef]

Dixit, S. N.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Domber, J.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Duchon, P.

P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
[CrossRef]

Etcheto, P.

P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
[CrossRef]

Farmmer, B.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Harm, S.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Hyde, R.

Jahns, J.

Johnson, R. L.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Kipp, L.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Liao, Z.-J.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Lin, W.-M.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Liu, H.

Lu, Z.

Ma, J.-L.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Qiu, C.-K.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Seemann, R.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Seltzer, A.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Skibowski, M.

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Smith, L.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Spuhler, P.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Stewart, C.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Tullson, D.

Whiteaker, K.

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Xing, T.-W.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Zhang, H.

Zhou, J.-M.

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Appl. Opt.

Chin. J. Sens. Actuators

G.-X. Cheng, T.-W. Xing, W.-M. Lin, J.-M. Zhou, C.-K. Qiu, Z.-J. Liao, and J.-L. Ma, “Design and fabrication of low-numerical-aperture amplitude-photon sieve,” Chin. J. Sens. Actuators 19, 2344–2347 (2006).

Exp. Astron.

P. Deba, P. Etcheto, and P. Duchon, “Preparing the way to space borne Fresnel imagers: space scenarios optical layouts,” Exp. Astron. 30, 123–136 (2011).
[CrossRef]

J. Opt. Soc. Am. A

Nature

L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft X-rays with photon sieves,” Nature 414, 184–188 (2001).
[CrossRef]

Proc. SPIE

P. Atcheson, C. Stewart, J. Domber, K. Whiteaker, J. Cole, P. Spuhler, A. Seltzer, J. A. Britten, S. N. Dixit, B. Farmmer, and L. Smith, “MOIRE: initial demonstration of a transmissive diffractive membrane optic for large lightweight optical telescopes,” Proc. SPIE 8442, 844221 (2012).
[CrossRef]

Other

Zemax Development Corporation, “User’s Guide,” www.zemax.com.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1.
Fig. 1.

Pattern of a photon sieve (center part).

Fig. 2.
Fig. 2.

Parameters defined in flat stitching.

Fig. 3.
Fig. 3.

Wavefront of model: (a) ideal and (b) discrete.

Fig. 4.
Fig. 4.

Simulation results of stitching errors in 1 μm order: (a) MTF curve and (b) wavefront map.

Fig. 5.
Fig. 5.

Simulation results of stitching errors in 10 μm order: (a) MTF curve and (b) wavefront map.

Fig. 6.
Fig. 6.

Simulation results of stitching errors in 100 μm order: (a) MTF curve and (b) wavefront map.

Fig. 7.
Fig. 7.

Wave front of complex stitching.

Tables (3)

Tables Icon

Table 1. Simulation Results of Different Error Orders

Tables Icon

Table 2. Simulation Results of Specific Errors in Different Zones

Tables Icon

Table 3. Relationship between Errors’ Directions and Wavefront Map

Equations (14)

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

rn2=2nfλ+n2λ2.
wn=λf2rn.
(XY)=(cosθsinθsinθcosθ)(x0y0)+(ab).
Φ=Mi=1NAiρ2i,
ρ2+f2f=nλ,
ρ2=n2λ2+2nλf,
n2λ22nλf,
ρ2=2nλf,
πλfρ2=2nπ=Φ,
Φ(X,Y)=πλf{[(Xa)cosθ+(Yb)sinθ]2+[(Yb)cosθ(Xa)sinθ]2},
Φ(X,Y)=πλf[(Xa)2+(Yb)2],
Φ(X,Y)X=kf(Xa),
Φ(X,Y)Y=kf(Yb),
2Φ(X,Y)XY=0.

Metrics