Abstract

In this Letter we report on the thermal properties of macroporous silicon photonic crystals with the unit cell gradually varied along the pore axis. We show experimentally that arbitrarily large omnidirectional total-reflectance bands can be produced with such structures. We also demonstrate that those bands can be effectively used to reduce thermal radiation in large spectral bands.

© 2010 Optical Society of America

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  1. J. F. Waymouth, U.S. patent 5,079,473 (January 7, 1992).
  2. S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
    [CrossRef]
  3. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
    [CrossRef] [PubMed]
  4. S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
    [CrossRef]
  5. V. Lehmann, J. Electrochem. Soc. 140, 2836 (1993).
    [CrossRef]
  6. J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
    [CrossRef]
  7. M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
    [CrossRef]
  8. M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
    [CrossRef]
  9. E. Yablonovitch, Opt. Lett. 23, 1648 (1998).
    [CrossRef]
  10. I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
    [CrossRef]
  11. E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
    [CrossRef]
  12. T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
    [CrossRef]
  13. S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
    [CrossRef]
  14. J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

2008 (2)

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

2007 (2)

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

2005 (1)

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

2004 (1)

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

2003 (1)

S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
[CrossRef]

2002 (1)

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

2001 (1)

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

2000 (1)

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

1998 (1)

1993 (1)

V. Lehmann, J. Electrochem. Soc. 140, 2836 (1993).
[CrossRef]

1987 (1)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Alcubilla, R.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

Arnold, C.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

Beaucarne, G.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Bur, J.

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Busch, K.

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Choi, K. K.

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Chow, E.

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Duerinckx, F.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Ferré-Borrull, J.

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

Fleming, J. G.

S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
[CrossRef]

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Garín, M.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

Goldberg, A.

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Gösele, U.

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Greffet, J.-J.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

Jamois, C.

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

Kerschaver, E. V.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Kuzma-Filipek, I. J.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Lehmann, V.

V. Lehmann, J. Electrochem. Soc. 140, 2836 (1993).
[CrossRef]

Lin, S. Y.

S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
[CrossRef]

Lin, S.-Y.

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Marquier, F.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

Marsal, L. F.

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

Matthias, S.

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Moreno, J.

S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
[CrossRef]

Müller, F.

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Nieuwenhuysen, K. V.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Pallarès, J.

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

Poortmans, J.

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

Rodríguez, A.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

Schilling, J.

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Trifonov, T.

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

Waymouth, J. F.

J. F. Waymouth, U.S. patent 5,079,473 (January 7, 1992).

Wehrspohn, R. B.

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

Xifré-Pérez, E.

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, Opt. Lett. 23, 1648 (1998).
[CrossRef]

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Adv. Mater. (1)

S. Matthias, F. Müller, C. Jamois, R. B. Wehrspohn, and U. Gösele, Adv. Mater. 16, 2166 (2004).
[CrossRef]

Appl. Phys. Lett. (4)

S. Y. Lin, J. Moreno, and J. G. Fleming, Appl. Phys. Lett. 83, 380 (2003).
[CrossRef]

J. Schilling, F. Müller, S. Matthias, R. B. Wehrspohn, U. Gösele, and K. Busch, Appl. Phys. Lett. 78, 1180 (2001).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, and R. Alcubilla, Appl. Phys. Lett. 91, 181901 (2007).
[CrossRef]

M. Garín, T. Trifonov, A. Rodríguez, R. Alcubilla, F. Marquier, C. Arnold, and J.-J. Greffet, Appl. Phys. Lett. 93, 081913(2008).
[CrossRef]

J. Appl. Phys. (2)

I. J. Kuzma-Filipek, F. Duerinckx, E. V. Kerschaver, K. V. Nieuwenhuysen, G. Beaucarne, and J. Poortmans, J. Appl. Phys. 104, 073529 (2008).
[CrossRef]

E. Xifré-Pérez, L. F. Marsal, J. Pallarès, and J. Ferré-Borrull, J. Appl. Phys. 97, 064503 (2005).
[CrossRef]

J. Electrochem. Soc. (1)

V. Lehmann, J. Electrochem. Soc. 140, 2836 (1993).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (1)

S.-Y. Lin, J. G. Fleming, E. Chow, J. Bur, K. K. Choi, and A. Goldberg, Phys. Rev. B 62, R2243 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Phys. Stat. Sol. A (1)

T. Trifonov, M. Garín, A. Rodríguez, L. F. Marsal, and R. Alcubilla, Phys. Stat. Sol. A 204, 3237 (2007).
[CrossRef]

Other (2)

J. F. Waymouth, U.S. patent 5,079,473 (January 7, 1992).

J. Schilling, F. Müller, R. B. Wehrspohn, U. Gösele, and K. Busch, in Materials and Devices for Optoelectronics and Microphotonics MRS Proceedings (Materials Research Society, 2002), Vol. 722, paper L6.8.

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Figures (3)

Fig. 1
Fig. 1

SEM picture of a macroporous chirped sample with periodicity varied from 4 to 5 μm in 35 periods.

Fig. 2
Fig. 2

(a) Experimental reflectance map of a chirped sample with L z = 3 6 μm in 41 periods. The color bar indicates the reflectance scale, with red and blue being high and low reflectance values, respectively. (b) Reflectance spectrum at quasi-normal incidence.

Fig. 3
Fig. 3

Measured normal emissivity spectra of two chirped samples with L z = 3 5 μm and (a) 21 periods and (b) 41 periods. Emissivity is measured at temperature steps of 50 ° C in the direction of the arrow.

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