Abstract

A stochastic method and its variants, differential evolution (DE) and micro-DE, were employed to optimize profiles of omnidirectional gratings for desired emittance spectra. Both narrow-band and broad-band infrared emitters were developed successfully from assigned profile types with different complexity and dimension constraints. The efficiency in determining profiles from each method was compared to demonstrate that the superiority of each method is dependent on the number of parameters (dimensions). The performance of the proposed emitters was further discussed considering the emission orientation and fabrication tolerance.

© 2012 Optical Society of America

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2010 (1)

Y.-B. Chen and K.-H. Tan, Int. J. Heat Mass Trans. 53, 5542 (2010).
[CrossRef]

2008 (1)

Y.-B. Chen and Z. M. Zhang, J. Phys. D 41, 095406 (2008).
[CrossRef]

2007 (3)

Y. B. Chen and Z. M. Zhang, Opt. Commun. 269, 411 (2007).
[CrossRef]

J. Drevillon and P. Ben-Abdallah, J. Appl. Phys. 102, 114305 (2007).
[CrossRef]

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

2005 (2)

2004 (1)

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

2002 (1)

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

2001 (1)

1997 (1)

R. Storn and K. Price, J. Glob. Optim. 11, 341 (1997).
[CrossRef]

1995 (1)

Abushagur, M. A. G.

Arnold, C.

Bardou, N.

Bayindir, M.

Ben-Abdallah, P.

J. Drevillon and P. Ben-Abdallah, J. Appl. Phys. 102, 114305 (2007).
[CrossRef]

P. Ben-Abdallah and B. Ni, J. Appl. Phys. 97, 104910 (2005).
[CrossRef]

Biener, G.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Biswas, R.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

R. Biswas, E. Ozbay, B. Temelkuran, M. Bayindir, M. M. Sigalas, and K. M. Ho, J. Opt. Soc. Am. B 18, 1684 (2001).
[CrossRef]

Carminati, R.

Chen, Y. B.

Y. B. Chen and Z. M. Zhang, Opt. Commun. 269, 411 (2007).
[CrossRef]

Chen, Y.-B.

Y.-B. Chen and K.-H. Tan, Int. J. Heat Mass Trans. 53, 5542 (2010).
[CrossRef]

Y.-B. Chen and Z. M. Zhang, J. Phys. D 41, 095406 (2008).
[CrossRef]

Choi, D. S.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Collin, S.

Dahan, N.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Daly, J. T.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Drevillon, J.

J. Drevillon and P. Ben-Abdallah, J. Appl. Phys. 102, 114305 (2007).
[CrossRef]

El-Kady, I.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

George, T.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Gorodetski, Y.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Greenwald, A. C.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Greffet, J.-J.

Hasman, E.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Ho, K. M.

Iida, M.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Johnson, E. A.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Johnson, E. G.

Katayama, S.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Kato, S.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Kitahara, H.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Kleiner, V.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Kondo, H.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Lampinen, J. A.

K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization (Springer, 2005).

Laroche, M.

Marquier, E.

McNeal, M. P.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Moelders, N.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Ni, B.

P. Ben-Abdallah and B. Ni, J. Appl. Phys. 97, 104910 (2005).
[CrossRef]

Niv, A.

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

Ozbay, E.

Palik, E. D.

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1998).

Pelouard, J.-L.

Pralle, M. U.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Price, K.

R. Storn and K. Price, J. Glob. Optim. 11, 341 (1997).
[CrossRef]

Price, K. V.

K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization (Springer, 2005).

Puscasu, I.

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Sakai, K.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Sigalas, M. M.

Storn, R.

R. Storn and K. Price, J. Glob. Optim. 11, 341 (1997).
[CrossRef]

Storn, R. M.

K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization (Springer, 2005).

Takeda, M. W.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Tan, K.-H.

Y.-B. Chen and K.-H. Tan, Int. J. Heat Mass Trans. 53, 5542 (2010).
[CrossRef]

Tani, M.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Temelkuran, B.

Watanabe, M.

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Zhang, Z. M.

Y.-B. Chen and Z. M. Zhang, J. Phys. D 41, 095406 (2008).
[CrossRef]

Y. B. Chen and Z. M. Zhang, Opt. Commun. 269, 411 (2007).
[CrossRef]

Appl. Phys. Lett. (1)

M. U. Pralle, N. Moelders, M. P. McNeal, I. Puscasu, A. C. Greenwald, J. T. Daly, E. A. Johnson, T. George, D. S. Choi, I. El-Kady, and R. Biswas, Appl. Phys. Lett. 81, 4685 (2002).
[CrossRef]

Int. J. Heat Mass Trans. (1)

Y.-B. Chen and K.-H. Tan, Int. J. Heat Mass Trans. 53, 5542 (2010).
[CrossRef]

J. Appl. Phys. (2)

P. Ben-Abdallah and B. Ni, J. Appl. Phys. 97, 104910 (2005).
[CrossRef]

J. Drevillon and P. Ben-Abdallah, J. Appl. Phys. 102, 114305 (2007).
[CrossRef]

J. Glob. Optim. (1)

R. Storn and K. Price, J. Glob. Optim. 11, 341 (1997).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

J. Phys. D (1)

Y.-B. Chen and Z. M. Zhang, J. Phys. D 41, 095406 (2008).
[CrossRef]

Opt. Commun. (1)

Y. B. Chen and Z. M. Zhang, Opt. Commun. 269, 411 (2007).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (2)

N. Dahan, A. Niv, G. Biener, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. B 76, 045427 (2007).
[CrossRef]

M. Iida, M. Tani, K. Sakai, M. Watanabe, S. Katayama, H. Kondo, H. Kitahara, S. Kato, and M. W. Takeda, Phys. Rev. B 69, 245119 (2004).
[CrossRef]

Other (2)

E. D. Palik, Handbook of Optical Constants of Solids(Academic, 1998).

K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization (Springer, 2005).

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Figures (4)

Fig. 1.
Fig. 1.

Cross-sectional views of omnidirectional gratings for the development of wavelength-selective emitters. (a) Linear binary grating. (b) Pyramid-like grating.

Fig. 2.
Fig. 2.

(a) Objective function evolution of DE and μDE. (b) Normal (θ=0°) emittance spectra of shallow and deep binary grating emitters.

Fig. 3.
Fig. 3.

(a) Best and average objective function evolutions of DE and μDE. (b) Emittance spectra of linear binary and pyramid-like grating emitters.

Fig. 4.
Fig. 4.

Impacts of a lateral shift on the emittance from a proposed emitter.

Tables (1)

Tables Icon

Table 1. Center Frequency/Wavelength (Center), FWHM, and Q Factor of Coherent Emission Peaks

Equations (4)

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

xi=[xi,1xi,2xi,jxi,Ndim],
vi=xr1+c(xr2xr3),
ui=[ui,1ui,2ui,jui,Ndim].
E=k=13wk|εtar,kεemi,k|,

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