N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

C. Park, “Stagnation-region heating environment of the Galileo probe,” J. Thermophys. Heat Transfer 23, 417–424 (2009).

[Crossref]

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

L. Braginsky and V. Shklover, “Light propagation in an imperfect photonic crystal,” Phys. Rev. B 73, 085107 (2006).

[Crossref]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

D. Whittaker and I. Culshaw, “Scattering-matrix treatment of patterned multilayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).

[Crossref]

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

Z. Liu, S. Tibuleac, D. Shin, P. Young, and R. Magnusson, “High-efficiency guided-mode resonance filter,” Opt. Lett. 23, 1556–1558 (1998).

[Crossref]

M. Gale, K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,” Proc. SPIE 1210, 83–89 (1990).

[Crossref]

M. Williams and E. Arakawa, “Optical properties of glassy carbon from 0 to 82 eV,” J. Appl. Phys. 43, 3460–3463 (1972).

[Crossref]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

M. Williams and E. Arakawa, “Optical properties of glassy carbon from 0 to 82 eV,” J. Appl. Phys. 43, 3460–3463 (1972).

[Crossref]

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

L. Braginsky and V. Shklover, “Light propagation in an imperfect photonic crystal,” Phys. Rev. B 73, 085107 (2006).

[Crossref]

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

D. Whittaker and I. Culshaw, “Scattering-matrix treatment of patterned multilayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).

[Crossref]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

J. Fröhlich, “Evolutionary Optimization for Computational Electromagnetics,” Ph.D. thesis (ETH Zurich, IFH Laboratory, 1997).

M. Gale, K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,” Proc. SPIE 1210, 83–89 (1990).

[Crossref]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

J. Shor, I. Grimberg, B. Weiss, and A. Kurtz, “Direct observation of porous SiC formed by anodization in HF,” Appl. Phys. Lett. 62, 2836–2838 (1993).

[Crossref]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 2008).

J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 2008).

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

M. Gale, K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,” Proc. SPIE 1210, 83–89 (1990).

[Crossref]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

J. Shor, I. Grimberg, B. Weiss, and A. Kurtz, “Direct observation of porous SiC formed by anodization in HF,” Appl. Phys. Lett. 62, 2836–2838 (1993).

[Crossref]

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

Z. Liu, S. Tibuleac, D. Shin, P. Young, and R. Magnusson, “High-efficiency guided-mode resonance filter,” Opt. Lett. 23, 1556–1558 (1998).

[Crossref]

S. Wang and R. Magnusson, “Theory and applications of guided-mode resonance filters,” Appl. Opt. 32, 2606–2613 (1993).

[Crossref]
[PubMed]

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 2008).

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

M. Gale, K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,” Proc. SPIE 1210, 83–89 (1990).

[Crossref]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

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

C. Park, “Stagnation-region heating environment of the Galileo probe,” J. Thermophys. Heat Transfer 23, 417–424 (2009).

[Crossref]

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

N. Komarevskiy, L. Braginsky, V. Shklover, C. Hafner, and J. Lawson, “Fast numerical methods for the design of layered photonic structures with rough interfaces,” Opt. Express 19, 5489–5499 (2011).

[Crossref]
[PubMed]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

L. Braginsky and V. Shklover, “Light propagation in an imperfect photonic crystal,” Phys. Rev. B 73, 085107 (2006).

[Crossref]

J. Shor, I. Grimberg, B. Weiss, and A. Kurtz, “Direct observation of porous SiC formed by anodization in HF,” Appl. Phys. Lett. 62, 2836–2838 (1993).

[Crossref]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

J. Shor, I. Grimberg, B. Weiss, and A. Kurtz, “Direct observation of porous SiC formed by anodization in HF,” Appl. Phys. Lett. 62, 2836–2838 (1993).

[Crossref]

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

D. Whittaker and I. Culshaw, “Scattering-matrix treatment of patterned multilayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).

[Crossref]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

M. Williams and E. Arakawa, “Optical properties of glassy carbon from 0 to 82 eV,” J. Appl. Phys. 43, 3460–3463 (1972).

[Crossref]

J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 2008).

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

J. Grinstead, M. Wilder, J. Olejniczak, D. Bogdanoff, G. Allen, K. Dang, and M. Forrest, “Shock-heated air radiation measurements at Lunar return conditions,” AIAA Pap. 1244, 092407 (2008).

J. Shor, I. Grimberg, B. Weiss, and A. Kurtz, “Direct observation of porous SiC formed by anodization in HF,” Appl. Phys. Lett. 62, 2836–2838 (1993).

[Crossref]

M. Williams and E. Arakawa, “Optical properties of glassy carbon from 0 to 82 eV,” J. Appl. Phys. 43, 3460–3463 (1972).

[Crossref]

V. Shklover, L. Braginsky, G. Witz, M. Mishrikey, and C. Hafner, “High-temperature photonic structures. Thermal barrier coatings, infrared sources and other applications,” J. Comput. Theor. Nanosci. 5, 862–893 (2008).

N. Komarevskiy, V. Shklover, L. Braginsky, C. Hafner, O. Fabrichnaya, S. White, and J. Lawson, “Design of reflective, photonic shields for atmospheric reentry,” J. Electromagn. Anal. Appl. 3, 228–237 (2011).

C. Park, “Stagnation-region heating environment of the Galileo probe,” J. Thermophys. Heat Transfer 23, 417–424 (2009).

[Crossref]

S. Tikhodeev, A. Yablonskii, E. Muljarov, N. Gippius, and T. Ishihara, “Quasiguided modes and optical properties of photonic crystal slabs,” Phys. Rev. B 66, 045102 (2002).

[Crossref]

L. Braginsky and V. Shklover, “Light propagation in an imperfect photonic crystal,” Phys. Rev. B 73, 085107 (2006).

[Crossref]

D. Whittaker and I. Culshaw, “Scattering-matrix treatment of patterned multilayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).

[Crossref]

M. Gale, K. Knop, and R. Morf, “Zero-order diffractive microstructures for security applications,” Proc. SPIE 1210, 83–89 (1990).

[Crossref]

A. Zakhidov, R. Baughman, Z. Iqbal, C. Cui, I. Khayrullin, S. Dantas, J. Marti, and V. Ralchenko, “Carbon structures with three-dimensional periodicity at optical wavelengths,” Science 282, 897–901 (1998).

[Crossref]
[PubMed]

A. Brandis, C. Johnston, B. Cruden, D. Prabhu, and D. Bose, “Uncertainty analysis of Neqair and Hara predictions of air radiation measurements obtained in the East facility,” in 42nd AIAA Thermophysics Conference, (American Institute of Aeronautics & Astronautics (AIAA), 2011), pp. 1–14.

Directionality can be obtained from simulation sets that are calibrated against shock tube data.

There is no mathematical proof for this observation, but it seems reasonable from the physical point of view, since no scattering occurs at planar interfaces.

J. Fröhlich, “Evolutionary Optimization for Computational Electromagnetics,” Ph.D. thesis (ETH Zurich, IFH Laboratory, 1997).

[Online]. Available: http://www.sopra-sa.com/

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

J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 2008).