J. K. Guest, “Topology optimization with multiple phase projection,” Comput. Methods Appl. Mech. Eng. 199, 123–135 (2009).

[CrossRef]

S. Xu, Y. Cai, and G. Cheng, “Volume preserving nonlinear density filter based on heaviside functions,” Struct. Multidisc. Optim. 41, 495–505 (2009).

[CrossRef]

O. Sigmund, “Manufacturing tolerant topology optimization,” Acta Mech. Sin. 25, 227–239 (2009).

[CrossRef]

T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2, 465–473 (2008).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Kraus, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16, 6227–6232 (2008).

[CrossRef]
[PubMed]

S. Kubo, D. Mori, and T. Baba, “Low-group-velocity and low-dispersion slow light in photonic crystal waveguides,” Opt. Lett. 32, 2981–2983 (2007).

[CrossRef]
[PubMed]

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15, 5264–5270 (2007).

[CrossRef]
[PubMed]

R. Stainko and O. Sigmund, “Tailoring dispersion properties of photonic crystal waveguides by topology optimization,” Waves in Random and Complex Media 17, 477–489 (2007).

[CrossRef]

O. Sigmund, “Morphology-based black and white filters,” Struct. Multidisc. Optim. 33, 401–424 (2007).

[CrossRef]

J. K. Guest, J. H. Prevost, and T. Belytschko, “Achieving minimum length scale in topology optimization using nodal design variables and projection functions,” Int. J. Numer. Methods Eng. 61, 238–254 (2004).

[CrossRef]

M. P. Bendsøe and O. Sigmund, Topology Optimization—Theory, Methods and Applications (Springer Verlag, 2004).

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

J. S. Jensen and O. Sigmund, “Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends,” Appl. Phys. Lett. 84, 2022–2024 (2004).

[CrossRef]

N. L. Pedersen and A. K. Nielsen, “Optimization of practical trusses with constraints on eigenfrequencies, displacements,” Struct. Multidisc. Optim. 25, 436–445 (2003).

[CrossRef]

K. Svanberg, “A class of globally convergent optimization methods based on conservative convex separable approximations,” SIAM J. Optim. 12, 555–573 (2002).

[CrossRef]

T. E. Bruns and D. A. Tortorelli, “Topology optimization of non-linear elastic structures and compliant mechanisms,” Comput. Methods Appl. Mech. Eng. 190, 3443–3459 (2001).

[CrossRef]

B. Bourdin, “Filters in topology optimization,” Int. J. Numer. Methods Eng. 50, 2143–2158 (2001).

[CrossRef]

O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Opt. 16, 68–75 (1998).

[CrossRef]

O. Sigmund, “On the design of compliant mechanisms using topology optimization,” Mechan. Struct. Mach. 25, 493–524(1997).

[CrossRef]

A. P. Seyranian, E. Lund, and N. Olhoff, “Multiple eigenvalues in structural optimization problems,” Struct. Multidisc. Optim. 8, 207–227 (1994).

T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2, 465–473 (2008).

[CrossRef]

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15, 5264–5270 (2007).

[CrossRef]
[PubMed]

S. Kubo, D. Mori, and T. Baba, “Low-group-velocity and low-dispersion slow light in photonic crystal waveguides,” Opt. Lett. 32, 2981–2983 (2007).

[CrossRef]
[PubMed]

D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13, 9398–9408 (2005).

[CrossRef]
[PubMed]

J. K. Guest, J. H. Prevost, and T. Belytschko, “Achieving minimum length scale in topology optimization using nodal design variables and projection functions,” Int. J. Numer. Methods Eng. 61, 238–254 (2004).

[CrossRef]

M. P. Bendsøe and O. Sigmund, Topology Optimization—Theory, Methods and Applications (Springer Verlag, 2004).

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14, 9444–9450(2006).

[CrossRef]
[PubMed]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

B. Bourdin, “Filters in topology optimization,” Int. J. Numer. Methods Eng. 50, 2143–2158 (2001).

[CrossRef]

T. E. Bruns and D. A. Tortorelli, “Topology optimization of non-linear elastic structures and compliant mechanisms,” Comput. Methods Appl. Mech. Eng. 190, 3443–3459 (2001).

[CrossRef]

S. Xu, Y. Cai, and G. Cheng, “Volume preserving nonlinear density filter based on heaviside functions,” Struct. Multidisc. Optim. 41, 495–505 (2009).

[CrossRef]

S. Xu, Y. Cai, and G. Cheng, “Volume preserving nonlinear density filter based on heaviside functions,” Struct. Multidisc. Optim. 41, 495–505 (2009).

[CrossRef]

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14, 9444–9450(2006).

[CrossRef]
[PubMed]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

J. K. Guest, “Topology optimization with multiple phase projection,” Comput. Methods Appl. Mech. Eng. 199, 123–135 (2009).

[CrossRef]

J. K. Guest, J. H. Prevost, and T. Belytschko, “Achieving minimum length scale in topology optimization using nodal design variables and projection functions,” Int. J. Numer. Methods Eng. 61, 238–254 (2004).

[CrossRef]

J. S. Jensen and O. Sigmund, “Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide,” J. Opt. Soc. Am. B 22, 1191–1198 (2005).

[CrossRef]

J. S. Jensen and O. Sigmund, “Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends,” Appl. Phys. Lett. 84, 2022–2024 (2004).

[CrossRef]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

J. S. Jensen and O. Sigmund, “Topology optimization for nano-photonics—a review,” Laser Photon. Rev. (to be published).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

S. Kubo, D. Mori, and T. Baba, “Low-group-velocity and low-dispersion slow light in photonic crystal waveguides,” Opt. Lett. 32, 2981–2983 (2007).

[CrossRef]
[PubMed]

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15, 5264–5270 (2007).

[CrossRef]
[PubMed]

F. Wang, B. S. Lazarov, and O. Sigmund, “On projection methods, convergence and robust formulations in topology optimization,” Struct. Multidisc. Optim. (to be published).

[CrossRef]

A. P. Seyranian, E. Lund, and N. Olhoff, “Multiple eigenvalues in structural optimization problems,” Struct. Multidisc. Optim. 8, 207–227 (1994).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

S. Kubo, D. Mori, and T. Baba, “Low-group-velocity and low-dispersion slow light in photonic crystal waveguides,” Opt. Lett. 32, 2981–2983 (2007).

[CrossRef]
[PubMed]

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15, 5264–5270 (2007).

[CrossRef]
[PubMed]

D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13, 9398–9408 (2005).

[CrossRef]
[PubMed]

N. L. Pedersen and A. K. Nielsen, “Optimization of practical trusses with constraints on eigenfrequencies, displacements,” Struct. Multidisc. Optim. 25, 436–445 (2003).

[CrossRef]

A. P. Seyranian, E. Lund, and N. Olhoff, “Multiple eigenvalues in structural optimization problems,” Struct. Multidisc. Optim. 8, 207–227 (1994).

N. L. Pedersen and A. K. Nielsen, “Optimization of practical trusses with constraints on eigenfrequencies, displacements,” Struct. Multidisc. Optim. 25, 436–445 (2003).

[CrossRef]

O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Opt. 16, 68–75 (1998).

[CrossRef]

J. K. Guest, J. H. Prevost, and T. Belytschko, “Achieving minimum length scale in topology optimization using nodal design variables and projection functions,” Int. J. Numer. Methods Eng. 61, 238–254 (2004).

[CrossRef]

A. P. Seyranian, E. Lund, and N. Olhoff, “Multiple eigenvalues in structural optimization problems,” Struct. Multidisc. Optim. 8, 207–227 (1994).

O. Sigmund, “Manufacturing tolerant topology optimization,” Acta Mech. Sin. 25, 227–239 (2009).

[CrossRef]

O. Sigmund, “Morphology-based black and white filters,” Struct. Multidisc. Optim. 33, 401–424 (2007).

[CrossRef]

R. Stainko and O. Sigmund, “Tailoring dispersion properties of photonic crystal waveguides by topology optimization,” Waves in Random and Complex Media 17, 477–489 (2007).

[CrossRef]

J. S. Jensen and O. Sigmund, “Topology optimization of photonic crystal structures: a high-bandwidth low-loss T-junction waveguide,” J. Opt. Soc. Am. B 22, 1191–1198 (2005).

[CrossRef]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

J. S. Jensen and O. Sigmund, “Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends,” Appl. Phys. Lett. 84, 2022–2024 (2004).

[CrossRef]

M. P. Bendsøe and O. Sigmund, Topology Optimization—Theory, Methods and Applications (Springer Verlag, 2004).

O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Opt. 16, 68–75 (1998).

[CrossRef]

O. Sigmund, “On the design of compliant mechanisms using topology optimization,” Mechan. Struct. Mach. 25, 493–524(1997).

[CrossRef]

J. S. Jensen and O. Sigmund, “Topology optimization for nano-photonics—a review,” Laser Photon. Rev. (to be published).

[CrossRef]

F. Wang, B. S. Lazarov, and O. Sigmund, “On projection methods, convergence and robust formulations in topology optimization,” Struct. Multidisc. Optim. (to be published).

[CrossRef]

R. Stainko and O. Sigmund, “Tailoring dispersion properties of photonic crystal waveguides by topology optimization,” Waves in Random and Complex Media 17, 477–489 (2007).

[CrossRef]

K. Svanberg, “A class of globally convergent optimization methods based on conservative convex separable approximations,” SIAM J. Optim. 12, 555–573 (2002).

[CrossRef]

T. E. Bruns and D. A. Tortorelli, “Topology optimization of non-linear elastic structures and compliant mechanisms,” Comput. Methods Appl. Mech. Eng. 190, 3443–3459 (2001).

[CrossRef]

F. Wang, B. S. Lazarov, and O. Sigmund, “On projection methods, convergence and robust formulations in topology optimization,” Struct. Multidisc. Optim. (to be published).

[CrossRef]

M. Y. Wang and S. Wang, “Bilateral filtering for structural topology optimization,” Int. J. Numer. Methods Eng. 63, 1911–1938(2005).

[CrossRef]

M. Y. Wang and S. Wang, “Bilateral filtering for structural topology optimization,” Int. J. Numer. Methods Eng. 63, 1911–1938(2005).

[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

S. Xu, Y. Cai, and G. Cheng, “Volume preserving nonlinear density filter based on heaviside functions,” Struct. Multidisc. Optim. 41, 495–505 (2009).

[CrossRef]

O. Sigmund, “Manufacturing tolerant topology optimization,” Acta Mech. Sin. 25, 227–239 (2009).

[CrossRef]

J. S. Jensen and O. Sigmund, “Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends,” Appl. Phys. Lett. 84, 2022–2024 (2004).

[CrossRef]

T. E. Bruns and D. A. Tortorelli, “Topology optimization of non-linear elastic structures and compliant mechanisms,” Comput. Methods Appl. Mech. Eng. 190, 3443–3459 (2001).

[CrossRef]

J. K. Guest, “Topology optimization with multiple phase projection,” Comput. Methods Appl. Mech. Eng. 199, 123–135 (2009).

[CrossRef]

B. Bourdin, “Filters in topology optimization,” Int. J. Numer. Methods Eng. 50, 2143–2158 (2001).

[CrossRef]

J. K. Guest, J. H. Prevost, and T. Belytschko, “Achieving minimum length scale in topology optimization using nodal design variables and projection functions,” Int. J. Numer. Methods Eng. 61, 238–254 (2004).

[CrossRef]

M. Y. Wang and S. Wang, “Bilateral filtering for structural topology optimization,” Int. J. Numer. Methods Eng. 63, 1911–1938(2005).

[CrossRef]

O. Sigmund, “On the design of compliant mechanisms using topology optimization,” Mechan. Struct. Mach. 25, 493–524(1997).

[CrossRef]

T. Baba, “Slow light in photonic crystals,” Nat. Photon. 2, 465–473 (2008).

[CrossRef]

D. Mori and T. Baba, “Wideband and low dispersion slow light by chirped photonic crystal coupled waveguide,” Opt. Express 13, 9398–9408 (2005).

[CrossRef]
[PubMed]

D. Mori, S. Kubo, H. Sasaki, and T. Baba, “Experimental demonstration of wideband dispersion-compensated slow light by a chirped photonic crystal directional coupler,” Opt. Express 15, 5264–5270 (2007).

[CrossRef]
[PubMed]

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express 14, 9444–9450(2006).

[CrossRef]
[PubMed]

J. Li, T. P. White, L. O’Faolain, A. Gomez-Iglesias, and T. F. Kraus, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express 16, 6227–6232 (2008).

[CrossRef]
[PubMed]

P. I. Borel, A. Harpøth, L. H. Frandsen, M. Kristensen, J. S. Jensen, P. Shi, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).

[CrossRef]
[PubMed]

K. Svanberg, “A class of globally convergent optimization methods based on conservative convex separable approximations,” SIAM J. Optim. 12, 555–573 (2002).

[CrossRef]

A. P. Seyranian, E. Lund, and N. Olhoff, “Multiple eigenvalues in structural optimization problems,” Struct. Multidisc. Optim. 8, 207–227 (1994).

N. L. Pedersen and A. K. Nielsen, “Optimization of practical trusses with constraints on eigenfrequencies, displacements,” Struct. Multidisc. Optim. 25, 436–445 (2003).

[CrossRef]

S. Xu, Y. Cai, and G. Cheng, “Volume preserving nonlinear density filter based on heaviside functions,” Struct. Multidisc. Optim. 41, 495–505 (2009).

[CrossRef]

O. Sigmund, “Morphology-based black and white filters,” Struct. Multidisc. Optim. 33, 401–424 (2007).

[CrossRef]

O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Opt. 16, 68–75 (1998).

[CrossRef]

R. Stainko and O. Sigmund, “Tailoring dispersion properties of photonic crystal waveguides by topology optimization,” Waves in Random and Complex Media 17, 477–489 (2007).

[CrossRef]

M. P. Bendsøe and O. Sigmund, Topology Optimization—Theory, Methods and Applications (Springer Verlag, 2004).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals—Molding the Flow of Light, 2nd ed.(Princeton University Press, 2008).

J. S. Jensen and O. Sigmund, “Topology optimization for nano-photonics—a review,” Laser Photon. Rev. (to be published).

[CrossRef]

F. Wang, B. S. Lazarov, and O. Sigmund, “On projection methods, convergence and robust formulations in topology optimization,” Struct. Multidisc. Optim. (to be published).

[CrossRef]