Abstract

Butterflies routinely produce nanostructured surfaces with useful properties. Here, we report a disordered nano-hole structure with ridges inspired by Papilio ulysses that produce omnidirectional light absorption compared with the common ordered structure. The result shows that the omnidirectional light absorption is affected by polarization, the incident angle, and the wavelength. Using the finite-difference time-domain (FDTD) method, the stable omnidirectional light absorption is achieved in the structure inspired from the Papilio ulysses over a wide incident angle range and with various wavelengths. This explains some of the mysteries of the structure of the Papilio ulysses butterfly. These conclusions can guide the design of omnidirectional absorption materials.

© 2014 Optical Society of America

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References

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  1. K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
    [Crossref]
  2. P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
    [Crossref]
  3. Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
    [Crossref]
  4. J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
    [Crossref]
  5. S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
    [Crossref]
  6. Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
    [Crossref]
  7. T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
    [Crossref]
  8. P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
    [Crossref]
  9. S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).
  10. J. A. Noyes, P. Vukusic, and I. R. Hooper, Opt. Express 15, 4351 (2007).
    [Crossref]
  11. D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
    [Crossref]
  12. K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
    [Crossref]
  13. K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
    [Crossref]
  14. J. Elliott, I. I. Smolyaninov, N. I. Zheludev, and A. V. Zayats, Opt. Lett. 29, 1414 (2004).
    [Crossref]
  15. A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
    [Crossref]

2012 (1)

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

2011 (1)

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

2009 (1)

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

2008 (1)

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

2007 (1)

2005 (3)

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
[Crossref]

2004 (4)

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

J. Elliott, I. I. Smolyaninov, N. I. Zheludev, and A. V. Zayats, Opt. Lett. 29, 1414 (2004).
[Crossref]

2002 (1)

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

1999 (1)

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

1986 (1)

S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).

Abajo, F. J. G. d.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Abdelsalam, M.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Bartlett, P. N.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Baumberg, J. J.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Bliokh, Y. P.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
[Crossref]

Borisov, A. G.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Carminati, R.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Chen, Y.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Collin, S.

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

De Raedt, H. A.

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Ding, J.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Elliott, J.

Enoch, S.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Fan, T.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Felsteiner, J.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
[Crossref]

Futaba, D. N.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Greffet, J.-J.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Guo, Q.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Guo, X.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Hariyama, T.

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Hata, K.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Hayamizu, Y.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Hooper, I. R.

Ishii, J.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Joulain, K.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Kishida, H.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Koch, S.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Koerkamp, K. K.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Kozikowski, S.

S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).

Krasavin, A.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Kuipers, L.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Kurtz, S.

S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).

Lawrence, C. R.

P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
[Crossref]

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

Leertouwer, H. L.

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Mainguy, S.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Mizuno, K.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Mulet, J.-P.

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Noyes, J. A.

Pardo, F.

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

Pelouard, J.-L.

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

Reichelt, M.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Sambles, J. R.

P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
[Crossref]

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

Schwanecke, A.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Segerink, F.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Slutsker, Y. Z.

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
[Crossref]

Smolyaninov, I. I.

Stavenga, D. G.

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Stroucken, T.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Sugawara, Y.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Teissier, R.

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

Teperik, T. V.

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Van der Molen, K.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

Van Hulst, N.

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Vukusic, P.

J. A. Noyes, P. Vukusic, and I. R. Hooper, Opt. Express 15, 4351 (2007).
[Crossref]

P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
[Crossref]

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

Wilts, B. D.

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Wolfram, L.

S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).

Wootton, R. J.

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

Wright, E.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Yasuda, S.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Yumura, M.

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Zayats, A. V.

Zhang, D.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Zhao, Q.

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

Zheludev, N.

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

Zheludev, N. I.

Appl. Phys. Lett. (2)

S. Collin, F. Pardo, R. Teissier, and J.-L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[Crossref]

A. Krasavin, A. Schwanecke, N. Zheludev, M. Reichelt, T. Stroucken, S. Koch, and E. Wright, Appl. Phys. Lett. 86, 201105 (2005).
[Crossref]

J. Invest. Dermatol. (1)

S. Kurtz, S. Kozikowski, and L. Wolfram, J. Invest. Dermatol. 87, 401 (1986).

Nat. Photonics (1)

T. V. Teperik, F. J. G. d. Abajo, A. G. Borisov, M. Abdelsalam, P. N. Bartlett, Y. Sugawara, and J. J. Baumberg, Nat. Photonics 2, 299 (2008).
[Crossref]

Nature (1)

J.-J. Greffet, R. Carminati, K. Joulain, J.-P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[Crossref]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. B (1)

K. Van der Molen, K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. B 72, 045421 (2005).
[Crossref]

Phys. Rev. Lett. (2)

K. K. Koerkamp, S. Enoch, F. Segerink, N. Van Hulst, and L. Kuipers, Phys. Rev. Lett. 92, 183901 (2004).
[Crossref]

Y. P. Bliokh, J. Felsteiner, and Y. Z. Slutsker, Phys. Rev. Lett. 95, 165003 (2005).
[Crossref]

PLoS One (1)

D. G. Stavenga, H. L. Leertouwer, T. Hariyama, H. A. De Raedt, and B. D. Wilts, PLoS One 7, e49743 (2012).
[Crossref]

Proc. Natl. Acad. Sci. (1)

K. Mizuno, J. Ishii, H. Kishida, Y. Hayamizu, S. Yasuda, D. N. Futaba, M. Yumura, and K. Hata, Proc. Natl. Acad. Sci. 106, 6044 (2009).
[Crossref]

Proc. R. Soc. B (2)

P. Vukusic, J. R. Sambles, and C. R. Lawrence, Proc. R. Soc. B 271, S237 (2004).
[Crossref]

P. Vukusic, J. R. Sambles, C. R. Lawrence, and R. J. Wootton, Proc. R. Soc. B 266, 1403 (1999).
[Crossref]

Soft Matter (1)

Q. Zhao, X. Guo, T. Fan, J. Ding, D. Zhang, and Q. Guo, Soft Matter 7, 11433 (2011).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

Structure model and boundary conditions. (a) M0: the disordered model with ridges derived from the Papilio ulysses. a-1, the sketch map of polar angle θ, azimuth angle φ and coordinate system; a-2, one period of the M0; and a-3, the tapered ridges of the Papilio ulysses. (b) Three ordered model of M1, M2, and M3. The filling ratio and the hole’s area are fixed at 0.27 and 0.176μm2. (c) The boundary conditions in vertical (x & y) directions are absorbing (perfectly matched layer, PML) and in horizontal (z) direction is periodic (periodic boundary condition, PBC).

Fig. 2.
Fig. 2.

Polar contour plots of absorption with model M0 to M3 at a wavelength of 600 nm. The s and p and unpolarized light were applied. The mean value, standard deviation value, minimum value, and maximum value are given below each contour plot.

Fig. 3.
Fig. 3.

Line plots of ΔA spectra with different viewing angle θ and φ in structure M0 and M1. (a) ΔA spectra with φ equals 0° in M0 structure; (b) ΔA spectra with φ equals 90° in M0 structure; (c) ΔA spectra with φ equals 0° in M1 structure; (d) ΔA spectra with φ equals 45° in M1 structure. The unpolarized light is applied.

Fig. 4.
Fig. 4.

Electric field intensity slice plot of structure M0 and M1 with different polarization and incident angle under wavelength=100nm. (a) structure M1 with p polarization and incident angle θ and φ, both equal 0°; (b) structure M1 with p polarization and incident angle θ and φ equal 45° and 0°; (c) structure M1 with s polarization and incident angle θ and φ equal 45° and 0°; (d) structure M0 with p polarization and incident angle θ and φ equal 45° and 0°; and (e) structure M0 with s polarization and incident angle θ and φ equal 45° and 0°.

Equations (1)

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ΔA=AθAθ=0.

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