Abstract

This paper demonstrates an approach for laser holographic patterning of three-dimensional photonic lattice structures using a single diffractive optical element. The diffractive optical element is fabricated by recording gratings in a photosensitive polymer using a two-beam interference method and has four diffraction gratings oriented with four-fold symmetry around a central opening. Four first-order diffracted beams from the gratings and one non-diffracted central beam overlap and form a three-dimensional interference pattern. The phase of one side beam is delayed by inserting a thin piece of microscope glass slide into the beam. By rotating the glass slide, thus tuning the phase of the side beam, the five beam interference pattern changes from face-center tetragonal symmetry into diamond-like lattice symmetry with an optimal bandgap. Three-dimensional photonic crystal templates are produced in a photoresist and show the phase tuning effect for bandgap optimization. Furthermore, by integrating an amplitude mask in the central opening, line defects are produced within the photonic crystal template. This paper presents the first experimental demonstration on the holographic fabrication approach of three-dimensional photonic crystal templates with functional defects by a single laser exposure using a single optical element.

© 2009 OSA

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2009

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

2008

2006

2005

Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett. 86(7), 071117 (2005).
[CrossRef]

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

J. Moon, S. Yang, D. Pine, and S.-M. Yang, “Translation of interference pattern by phase shift for diamond photonic crystals,” Opt. Express 13(24), 9841–9846 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9841 .
[CrossRef] [PubMed]

2004

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

2003

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

2002

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

2000

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

1994

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

1987

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Abolghasemi, L. E.

Aizenberg, J.

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Biswas, R.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

Blanco, A.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Bogart, K. H. A.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Braun, P. V.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Brzezinski, A.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Busch, K.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Campbell, M.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

Chaikin, P. M.

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Chan, C. T.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

Chan, T. Y. M.

T. Y. M. Chan, O. Toader, and S. John, “Photonic band-gap formation by optical-phase-mask lithography,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(4), 046610 (2006).
[CrossRef] [PubMed]

O. Toader, T. Y. M. Chan, and S. John, “Diamond photonic band gap synthesis by umbrella holographic lithography,” Appl. Phys. Lett. 89(10), 101117 (2006).
[CrossRef]

Chanda, D.

Chen, K. P.

Chen, Y. C.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Chomski, E.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Crespi, V. H.

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

Darmawikarta, K.

Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett. 86(7), 071117 (2005).
[CrossRef]

Denning, R. G.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

Deubel, M.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Divliansky, I.

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

Geoffrey, A.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Grabtchak, S.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Haque, M.

Harb, A.

Harrison, M. T.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

Herman, P. R.

D. Chanda, L. E. Abolghasemi, M. Haque, M. L. Ng, and P. R. Herman, “Multi-level diffractive optics for single laser exposure fabrication of telecom-band diamond-like 3-dimensional photonic crystals,” Opt. Express 16(20), 15402–15414 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-20-15402 .
[CrossRef] [PubMed]

Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett. 86(7), 071117 (2005).
[CrossRef]

Ho, C. T.

Ho, K. M.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

Holliday, K. S.

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

Hu, X. K.

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

Ibisate, M.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Jacobs, D.

John, S.

O. Toader, T. Y. M. Chan, and S. John, “Diamond photonic band gap synthesis by umbrella holographic lithography,” Appl. Phys. Lett. 89(10), 101117 (2006).
[CrossRef]

T. Y. M. Chan, O. Toader, and S. John, “Photonic band-gap formation by optical-phase-mask lithography,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(4), 046610 (2006).
[CrossRef] [PubMed]

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

Kurizki, G.

Lee, J. C.

Leonard, S. W.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Li, J.

Liang, B.

Liao, H.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Lin, Y.

Y. Lin, A. Harb, D. Rodriguez, K. Lozano, D. Xu, and K. P. Chen, “Fabrication of two-layer integrated phase mask for single-beam and single-exposure fabrication of three-dimensional photonic crystal,” Opt. Express 16(12), 9165–9172 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-12-9165 .
[CrossRef] [PubMed]

Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett. 86(7), 071117 (2005).
[CrossRef]

Lipson, R. H.

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

Liu, Y.

Lopez, C.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Lozano, K.

Lu, C.

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

Mayer, T. S.

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

Megens, M.

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Meseguer, F.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Miguez, H.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Mitchell, I. V.

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

Mondia, J. P.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Moon, J.

Nelson, E. C.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Ng, M. L.

Ozin, G. A.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Pang, Y. K.

Pereira, S.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Pine, D.

Rodriguez, D.

Rogers, J. A.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Russel, W. B.

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Sharp, D. N.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

Shir, D.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

Sigalas, M.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

Soukoulis, C. M.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

Su, H.

Tam, W. Y.

Toader, O.

O. Toader, T. Y. M. Chan, and S. John, “Diamond photonic band gap synthesis by umbrella holographic lithography,” Appl. Phys. Lett. 89(10), 101117 (2006).
[CrossRef]

T. Y. M. Chan, O. Toader, and S. John, “Photonic band-gap formation by optical-phase-mask lithography,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(4), 046610 (2006).
[CrossRef] [PubMed]

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Turberfield, A. J.

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

van Driel,, H. M.

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

von Freymann, G.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Wang, H.

Wegener, M.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Wiltzius, P.

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Wong, K. S.

Wu, L.

Xie, X.

Xu, D.

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Yan, L.

Yang, S.

J. Moon, S. Yang, D. Pine, and S.-M. Yang, “Translation of interference pattern by phase shift for diamond photonic crystals,” Opt. Express 13(24), 9841–9846 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9841 .
[CrossRef] [PubMed]

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Yang, S.-M.

Zhang, P.

Zhong, Y.

Zhou, J.

Appl. Phys. Lett.

O. Toader, T. Y. M. Chan, and S. John, “Diamond photonic band gap synthesis by umbrella holographic lithography,” Appl. Phys. Lett. 89(10), 101117 (2006).
[CrossRef]

Y. Lin, P. R. Herman, and K. Darmawikarta, “Design and holographic fabrication of tetragonal and cubic photonic crystals with phase mask: toward the mass-production of three-dimensional photonic crystals,” Appl. Phys. Lett. 86(7), 071117 (2005).
[CrossRef]

C. Lu, X. K. Hu, I. V. Mitchell, and R. H. Lipson, “Diffraction element assisted lithography: Pattern control for photonic crystal fabrication,” Appl. Phys. Lett. 86(19), 193110 (2005).
[CrossRef]

D. Shir, E. C. Nelson, Y. C. Chen, A. Brzezinski, H. Liao, P. V. Braun, P. Wiltzius, K. H. A. Bogart, and J. A. Rogers, “Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography,” Appl. Phys. Lett. 94(1), 011101 (2009).
[CrossRef]

I. Divliansky, T. S. Mayer, K. S. Holliday, and V. H. Crespi, “Fabrication of three-dimensional polymer photonic crystal structures using single diffraction element interference lithography,” Appl. Phys. Lett. 82(11), 1667–1669 (2003).
[CrossRef]

Chem. Mater.

S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P. M. Chaikin, and W. B. Russel, “Creating periodic three-dimensional structures by multibeam interference of visible laser,” Chem. Mater. 14(7), 2831–2833 (2002).
[CrossRef]

Nat. Mater.

M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C. M. Soukoulis, “Direct laser writing of three-dimensional photonic-crystal templates for telecommunications,” Nat. Mater. 3(7), 444–447 (2004).
[CrossRef] [PubMed]

Nature

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, “Fabrication of photonic crystals for the visible spectrum by holographic lithography,” Nature 404(6773), 53–56 (2000).
[CrossRef] [PubMed]

A. Blanco, E. Chomski, S. Grabtchak, M. Ibisate, S. John, S. W. Leonard, C. Lopez, F. Meseguer, H. Miguez, J. P. Mondia, G. A. Ozin, O. Toader, A. Geoffrey, O. Toader, and H. M. van Driel, “Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres,” Nature 405(6785), 437–440 (2000).
[CrossRef] [PubMed]

Opt. Express

J. Moon, S. Yang, D. Pine, and S.-M. Yang, “Translation of interference pattern by phase shift for diamond photonic crystals,” Opt. Express 13(24), 9841–9846 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9841 .
[CrossRef] [PubMed]

J. Li, Y. Liu, X. Xie, P. Zhang, B. Liang, L. Yan, J. Zhou, G. Kurizki, D. Jacobs, K. S. Wong, and Y. Zhong, “Fabrication of photonic crystals with functional defects by one-step holographic lithography,” Opt. Express 16(17), 12899–12904 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-17-12899 .
[CrossRef] [PubMed]

Y. Lin, A. Harb, D. Rodriguez, K. Lozano, D. Xu, and K. P. Chen, “Fabrication of two-layer integrated phase mask for single-beam and single-exposure fabrication of three-dimensional photonic crystal,” Opt. Express 16(12), 9165–9172 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-12-9165 .
[CrossRef] [PubMed]

D. Chanda, L. E. Abolghasemi, M. Haque, M. L. Ng, and P. R. Herman, “Multi-level diffractive optics for single laser exposure fabrication of telecom-band diamond-like 3-dimensional photonic crystals,” Opt. Express 16(20), 15402–15414 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-20-15402 .
[CrossRef] [PubMed]

Y. Zhong, L. Wu, H. Su, K. S. Wong, and H. Wang, “Fabrication of photonic crystals with tunable surface orientation by holographic lithography,” Opt. Express 14(15), 6837–6843 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-15-6837 .
[CrossRef] [PubMed]

Y. K. Pang, J. C. Lee, C. T. Ho, and W. Y. Tam, “Realization of woodpile structure using optical interference holography,” Opt. Express 14(20), 9113–9119 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-20-9113 .
[CrossRef] [PubMed]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

T. Y. M. Chan, O. Toader, and S. John, “Photonic band-gap formation by optical-phase-mask lithography,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(4), 046610 (2006).
[CrossRef] [PubMed]

Phys. Rev. Lett.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Solid State Commun.

K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, “Photonic band gaps in three dimensions: New layer-by-layer periodic structures,” Solid State Commun. 89(5), 413–416 (1994).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

(a) Scheme of single diffractive optical element consisting of four gratings. (b) SEM of fabricated grating in a polymer.

Fig. 2
Fig. 2

Experimental setup of the five-beam holographic fabrication using the single diffractive element with one beam phase-delayed by a glass slide.

Fig. 3
Fig. 3

Iso-intensity surface of the five-beam interference pattern related to the phase change Δδ5i varying from 0 to π.

Fig. 4
Fig. 4

SEM of recorded five beam interference pattern in photoresist polymer. (a-c) The photonic structure fabricated with the glass slide rotation angle of 2, 4, and 6 degrees, respectively. (d) Enlarged view of the SEM (a) and the inserted simulation of structure with a phase delay of π.

Fig. 5
Fig. 5

(a) Scheme of single diffractive optical element setup consisting of four gratings and an amplitude mask. (b) SEM of fabricated 3D PhC structures with a line defect, introduced by the amplitude mask.

Equations (2)

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

I=i=15Ei2+i<j4EiEjcos[kikjr+Δδij]+i=15EiE5cos[kik5r+Δδ5i]
Δδ5i(θ)=2πλ{dcosα[nglassnaircos(θα)]}

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