Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides

Y. Elesin, B. Lazarov, J. Jensen, and O. Sigmund, “Design of robust and efficient photonic switches using topology optimization,” Photon. and Nanostruc. 10, 153–165 (2012).
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J. Lu and J. Vuckovic, “Objective-first design of high-efficiency, small-footprint couplers between arbitrary nanophotonic waveguide modes,” Opt. Express 20, 7221–7236 (2012).
[Crossref] [PubMed]

F. Wang, J. Jensen, and O. Sigmund, “Robust topology optimization of photonic crystal waveguides with tailored dispersion properties,” J. Opt. Soc. Am. B 28, 387–397 (2011).
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A. Kurs, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Abrupt coupling between strongly dissimilar waveguides with 100% transmission,” Opt. Express 19, 13714–13721 (2011).
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A. Oskooi, P. Favuzzi, Y. Kawakami, and S. Noda, “Tailoring repulsive optical forces in nanophotonic waveguides,” Opt. Letters 36, 4638–4640 (2011).
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R. Matze, J. Jensen, and O. Sigmund, “Systematic design of slow-light photonic waveguides,” J. Opt. Soc. Am. B 28, 2374–2382 (2011).
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J. Lu, S. Boyd, and J. Vuckovic, “Inverse design of a three-dimensional nanophotonic resonator,” Opt. Express 19, 10563–10570 (2011).
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J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic crystal waveguide and an underlying substrate,” Appl. Phys. Letters 97(151102) (2010).
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D. Bertsimas, O. Nohedani, and K. Teo, “Robust optimization for unconstrained simulation-based problems,” Oper. Research 58, 161–178 (2010).
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M. Strain and M. Sorel, “Design and fabrication of integrated chirped bragg gratings for on-chip dispersion control,” IEEE J. Quant. Elec. 46, 774–782 (2010).
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P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Communications 181, 687–702 (2010).
[Crossref]

M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
[Crossref] [PubMed]

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, “Robust design of slow-light tapers in periodic waveguides,” Engineering Optimization 41, 365–384 (2009).
[Crossref]

D. Dobson and L. Simeonova, “Optimization of periodic composite structures for sub-wavelength focusing,” Appl. Math. Optim. 60, 133–150 (2009).
[Crossref]

J. Riishede and O. Sigmund, “Inverse design of dispersion compensating optical fiber using topology optimization,” J. Opt. Soc. Am. B 25, 88–97 (2008).
[Crossref]

O. Sigmund and K. Hougaard, “Geometric properties of optimal photonic crystals,” Phys. Rev. Letters 100(153904) (2008).
[Crossref]

T. Baba, “Slow light in photonic crystals,” Nat. Photonics 2, 465–473 (2008).
[Crossref]

T. White, L. Botten, C. de Sterke, K. Dossou, and R. McPhedran, “Efficient slow-light coupling in a photonic crystal waveguide without transition region,” Opt. Letters 33, 2644–2646 (2008).
[Crossref]

S. Anderson, A. Shroff, and P. Fauchet, “Slow light with photonic crystals for on-chip optical interconnects,” Adv. Opt. Technology 2008(293531) (2008).

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, “The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers,” Opt. Express 16(15), 11376–11392 (2008).
[Crossref]

W. Frei, D. Tortorelli, and H. Johnson, “Geometry projection method for optimizing photonic nanostructures,” Opt. Letters 32, 77–79 (2007).
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J. Hugonin, P. Lalanne, T. White, and T. Krauss, “Coupling into slow-mode photonic crystal waveguides,” Opt. Letters 32, 2638–2640 (2007).
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P. Pottier, M. Gnan, and R. D. L. Rue, “Efficient coupling into slow-light photonic crystal channel guides using photonic crystal tapers,” Opt. Express 15, 6569–6575 (2007).
[Crossref] [PubMed]

C. de Sterke, J. Walker, K. Dossou, and L. Botten, “Efficient slow light coupling into photonic crystals,” Opt. Express 15, 10984–10990 (2007).
[Crossref]

P. Velha, J. Hugonin, and P. Lalanne, “Compact and efficient injection of light into band-edge slow-modes,” Opt. Express 15, 6102–6112 (2007).
[Crossref] [PubMed]

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

Y. Vlasov and S. McNab, “Coupling into the slow light mode in slab-type photonic crystal waveguides,” Opt. Letters 31, 50–52 (2006).
[Crossref]

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

W. Frei, D. Tortorelli, and H. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Letters 86(111114) (2005).
[Crossref]

A. Håkansson, J. Sánchez-Dehesa, and L. Sanchis, “Inverse design of photonic crystal devices,” IEEE J. Selected Areas in Communications 23, 1365–1371 (2005).
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C. Kao, S. Osher, and E. Yablonovitch, “Maximizing band gaps in two-dimensional photonic crystals,” Appl. Phys. B 81, 235–244 (2005).
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E. Khoo, A. Liu, and J. Wu, “Nonuniform photonic crystal taper for high-efficiency mode coupling,” Opt. Express 13, 7748–7759 (2005).
[Crossref] [PubMed]

P. Sanchis, J. Marti, W. Bogaerts, P. Dumon, D. V. Thourhout, and R. Baets, “Experimental results on adiabatic coupling into SOI photonic crystal coupled-cavity waveguides,” IEEE Photon. Tech. Letters 17, 1199–1201 (2005).
[Crossref]

M. Povinelli, S. Johnson, and J. Joannopoulos, “Slow-light, band-edge waveguides for tunable time delays,” Opt. Express 13(8), 7145–7159 (2005).
[Crossref] [PubMed]

M. L. Povinelli, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, “Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide,” Appl. Phys. Letters 85, 1466–1468 (2004).
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M. L. Povinelli, S. G. Johnson, E. Lidorikis, J. D. Joannopoulos, and M. Soljačić, “Effect of a photonic band gap on scattering from waveguide disorder,” Appl. Phys. Letters 84, 3639–3641 (2004).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
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T. Segawa, S. Matsuo, Y. Ohiso, T. Ishii, and H. Suzuki, “Apodised sampled grating using InGaAsP/InP deep-ridge waveguide with vertical-groove surface grating,” Elec. Letters 40, 804–805 (2004).
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E. Miyai and S. Noda, “Structural dependence of coupling between a two-dimensional photonic crystal waveguide and a wire waveguide,” J. Opt. Soc. Am. B 21, 67–72 (2004).
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P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
[Crossref]

L. Frandsen, A. Harpoth, P. Borel, M. Kristensen, and J. Jensen, “Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization,” Opt. Express 12, 5916–5921 (2004).
[Crossref] [PubMed]

P. Borel, A. Harpoth, L. Frandsen, M. Kristensen, P. Shi, J. Jensen, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).
[Crossref] [PubMed]

D. Dobson and F. Santosa, “Optimal localization of eigenfunctions in an inhomogeneous medium,” SIAM J. Appl. Math 64, 762–774 (2004).
[Crossref]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

N. Moll and G.-L. Bona, “Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: efficient butt coupling into these photonic crystal waveguides,” J. Appl. Physics 93, 4986–4991 (2003).
[Crossref]

P. Sanchis, J. Garcia, A. Martinez, F. Cuesta, A. Griol, and J. Marti, “Analysis of adiabatic coupling between photonic crystal single-line-defect and coupled-resonator optical waveguides,” Opt. Letters 28, 1903–1905 (2003).
[Crossref]

S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
[Crossref]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of non-linear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
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J. Hastings, M. Lim, J. Goodberlet, and H. Smith, “Optical waveguides with apodized sidewall gratings via spatial-phase- locked electron-beam lithography,” J. Vac. Sci. Tech. B 20, 2753–2757 (2002).
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S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
[Crossref]

P. Sanchis, J. Marti, J. Blasco, A. Martinez, and A. Garcia, “Mode matching technique for highly efficient coupling between dielectric waveguides and planar photonic crystal circuits,” Opt. Express 10, 1391–1397 (2002).
[PubMed]

A. Talneau, P. Lalanne, M. Agio, and C. Soukoulis, “Low-reflection photonic-crystal taper for efficient coupling between guide sections of arbitrary widths,” Opt. Letters 27, 1522–1524 (2002).
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T. Happ, M. Kamp, and A. Forchel, “Photonic crystal tapers for ultracompact mode conversion,” Opt. Letters 26, 1102–1104 (2001).
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A. Mekis and J. Joannopoulos, “Tapered couplers for efficient interfacing between dielectric and photonic crystal waveguides,” J. Lightwave Tech. 19(6), 861–865 (2001).
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M. Palamaru and P. Lalanne, “Photonic crystal waveguides: out of plane losses and adiabatic modal conversion,” Appl. Phys. Letters 78, 1466–1468 (2001).
[Crossref]

P. Bienstman and R. Baets, “Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers,” Opt. and Quant. Electronics 33, 327–341 (2001).
[Crossref]

S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8(3), 173–190 (2001).
[Crossref] [PubMed]

Y. Xu, R. Lee, and A. Yariv, “Propagation and second-harmonic generation of electromagnetic waves in a coupled-resonator optical waveguide,” JOSA-B 17(387–400) (2000).
[Crossref]

S. Cox and D. Dobson, “Band structure optimization of two-dimensional photonic crystals in H-polarization,” J. Comp. Physics 158, 214–224 (2000).
[Crossref]

S. Cox and D. Dobson, “Maximizing band gaps in two-dimensional photonic crystals,” SIAM J. Appl. Math 59, 2108–2120 (1999).
[Crossref]

J. E. Avron and A. Elgart, “Adiabatic theorem without a gap condition,” Commun. Math. Physics 203, 445–463 (1999).
[Crossref]

J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
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S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Physics 78, 1415–1418 (1995).
[Crossref]

K. O. Mead and L. M. Delves, “On the convergence rate of generalized Fourier expansions,” IMA J. Appl. Math. 12(3), 247–259 (1973).
[Crossref]

A. Talneau, P. Lalanne, M. Agio, and C. Soukoulis, “Low-reflection photonic-crystal taper for efficient coupling between guide sections of arbitrary widths,” Opt. Letters 27, 1522–1524 (2002).
[Crossref]

S. Anderson, A. Shroff, and P. Fauchet, “Slow light with photonic crystals for on-chip optical interconnects,” Adv. Opt. Technology 2008(293531) (2008).

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
[Crossref] [PubMed]

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, “Robust design of slow-light tapers in periodic waveguides,” Engineering Optimization 41, 365–384 (2009).
[Crossref]

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, “The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers,” Opt. Express 16(15), 11376–11392 (2008).
[Crossref]

J. E. Avron and A. Elgart, “Adiabatic theorem without a gap condition,” Commun. Math. Physics 203, 445–463 (1999).
[Crossref]

T. Baba, “Slow light in photonic crystals,” Nat. Photonics 2, 465–473 (2008).
[Crossref]

P. Sanchis, J. Marti, W. Bogaerts, P. Dumon, D. V. Thourhout, and R. Baets, “Experimental results on adiabatic coupling into SOI photonic crystal coupled-cavity waveguides,” IEEE Photon. Tech. Letters 17, 1199–1201 (2005).
[Crossref]

P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
[Crossref]

P. Bienstman and R. Baets, “Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers,” Opt. and Quant. Electronics 33, 327–341 (2001).
[Crossref]

A. Bental, L. E. Ghaoui, and A. Nemirovski, Robust Optimization (Princeton University Press, 2009).

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Communications 181, 687–702 (2010).
[Crossref]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
[Crossref] [PubMed]

D. Bertsimas, O. Nohedani, and K. Teo, “Robust optimization for unconstrained simulation-based problems,” Oper. Research 58, 161–178 (2010).
[Crossref]

P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
[Crossref]

S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
[Crossref]

P. Bienstman and R. Baets, “Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers,” Opt. and Quant. Electronics 33, 327–341 (2001).
[Crossref]

P. Sanchis, J. Marti, J. Blasco, A. Martinez, and A. Garcia, “Mode matching technique for highly efficient coupling between dielectric waveguides and planar photonic crystal circuits,” Opt. Express 10, 1391–1397 (2002).
[PubMed]

P. Sanchis, J. Marti, W. Bogaerts, P. Dumon, D. V. Thourhout, and R. Baets, “Experimental results on adiabatic coupling into SOI photonic crystal coupled-cavity waveguides,” IEEE Photon. Tech. Letters 17, 1199–1201 (2005).
[Crossref]

N. Moll and G.-L. Bona, “Comparison of three-dimensional photonic crystal slab waveguides with two-dimensional photonic crystal waveguides: efficient butt coupling into these photonic crystal waveguides,” J. Appl. Physics 93, 4986–4991 (2003).
[Crossref]

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

P. Borel, A. Harpoth, L. Frandsen, M. Kristensen, P. Shi, J. Jensen, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).
[Crossref] [PubMed]

L. Frandsen, A. Harpoth, P. Borel, M. Kristensen, and J. Jensen, “Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization,” Opt. Express 12, 5916–5921 (2004).
[Crossref] [PubMed]

T. White, L. Botten, C. de Sterke, K. Dossou, and R. McPhedran, “Efficient slow-light coupling in a photonic crystal waveguide without transition region,” Opt. Letters 33, 2644–2646 (2008).
[Crossref]

C. de Sterke, J. Walker, K. Dossou, and L. Botten, “Efficient slow light coupling into photonic crystals,” Opt. Express 15, 10984–10990 (2007).
[Crossref]

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

J. P. Boyd, Chebyshev And Fourier Spectral Methods, 2nd ed. (Springer, 1989).
[Crossref]

J. Lu, S. Boyd, and J. Vuckovic, “Inverse design of a three-dimensional nanophotonic resonator,” Opt. Express 19, 10563–10570 (2011).
[Crossref]

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, “Robust design of slow-light tapers in periodic waveguides,” Engineering Optimization 41, 365–384 (2009).
[Crossref]

S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, UK, 2004).

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

A. Conn, N. Gould, and P. Toint, Trust Region Methods (SIAM, Philadelphia, PA, 2000).
[Crossref]

S. Cox and D. Dobson, “Band structure optimization of two-dimensional photonic crystals in H-polarization,” J. Comp. Physics 158, 214–224 (2000).
[Crossref]

S. Cox and D. Dobson, “Maximizing band gaps in two-dimensional photonic crystals,” SIAM J. Appl. Math 59, 2108–2120 (1999).
[Crossref]

P. Sanchis, J. Garcia, A. Martinez, F. Cuesta, A. Griol, and J. Marti, “Analysis of adiabatic coupling between photonic crystal single-line-defect and coupled-resonator optical waveguides,” Opt. Letters 28, 1903–1905 (2003).
[Crossref]

T. White, L. Botten, C. de Sterke, K. Dossou, and R. McPhedran, “Efficient slow-light coupling in a photonic crystal waveguide without transition region,” Opt. Letters 33, 2644–2646 (2008).
[Crossref]

C. de Sterke, J. Walker, K. Dossou, and L. Botten, “Efficient slow light coupling into photonic crystals,” Opt. Express 15, 10984–10990 (2007).
[Crossref]

K. Dossou, L. Botten, C. de Sterke, R. McPhedran, A. Asatryan, S. Chen, and J. Brnovic, “Efficient couplers for photonic crystal waveguides,” Opt. Commun. 265, 207–219 (2006).
[Crossref]

K. O. Mead and L. M. Delves, “On the convergence rate of generalized Fourier expansions,” IMA J. Appl. Math. 12(3), 247–259 (1973).
[Crossref]

D. Dobson and L. Simeonova, “Optimization of periodic composite structures for sub-wavelength focusing,” Appl. Math. Optim. 60, 133–150 (2009).
[Crossref]

D. Dobson and F. Santosa, “Optimal localization of eigenfunctions in an inhomogeneous medium,” SIAM J. Appl. Math 64, 762–774 (2004).
[Crossref]

S. Cox and D. Dobson, “Band structure optimization of two-dimensional photonic crystals in H-polarization,” J. Comp. Physics 158, 214–224 (2000).
[Crossref]

S. Cox and D. Dobson, “Maximizing band gaps in two-dimensional photonic crystals,” SIAM J. Appl. Math 59, 2108–2120 (1999).
[Crossref]

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J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
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J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
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T. Happ, M. Kamp, and A. Forchel, “Photonic crystal tapers for ultracompact mode conversion,” Opt. Letters 26, 1102–1104 (2001).
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J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
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W. Frei, D. Tortorelli, and H. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Letters 86(111114) (2005).
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M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
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T. Happ, M. Kamp, and A. Forchel, “Photonic crystal tapers for ultracompact mode conversion,” Opt. Letters 26, 1102–1104 (2001).
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P. Borel, A. Harpoth, L. Frandsen, M. Kristensen, P. Shi, J. Jensen, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).
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L. Frandsen, A. Harpoth, P. Borel, M. Kristensen, and J. Jensen, “Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization,” Opt. Express 12, 5916–5921 (2004).
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J. Hastings, M. Lim, J. Goodberlet, and H. Smith, “Optical waveguides with apodized sidewall gratings via spatial-phase- locked electron-beam lithography,” J. Vac. Sci. Tech. B 20, 2753–2757 (2002).
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P. Velha, J. Hugonin, and P. Lalanne, “Compact and efficient injection of light into band-edge slow-modes,” Opt. Express 15, 6102–6112 (2007).
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A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Communications 181, 687–702 (2010).
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M. L. Povinelli, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, “Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide,” Appl. Phys. Letters 85, 1466–1468 (2004).
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S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
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M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of non-linear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[Crossref]

S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
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N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of non-linear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
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Y. Elesin, B. Lazarov, J. Jensen, and O. Sigmund, “Design of robust and efficient photonic switches using topology optimization,” Photon. and Nanostruc. 10, 153–165 (2012).
[Crossref]

F. Wang, J. Jensen, and O. Sigmund, “Robust topology optimization of photonic crystal waveguides with tailored dispersion properties,” J. Opt. Soc. Am. B 28, 387–397 (2011).
[Crossref]

R. Matze, J. Jensen, and O. Sigmund, “Systematic design of slow-light photonic waveguides,” J. Opt. Soc. Am. B 28, 2374–2382 (2011).
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N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

P. Borel, A. Harpoth, L. Frandsen, M. Kristensen, P. Shi, J. Jensen, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).
[Crossref] [PubMed]

L. Frandsen, A. Harpoth, P. Borel, M. Kristensen, and J. Jensen, “Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization,” Opt. Express 12, 5916–5921 (2004).
[Crossref] [PubMed]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

M. Povinelli, S. Johnson, and J. Joannopoulos, “Slow-light, band-edge waveguides for tunable time delays,” Opt. Express 13(8), 7145–7159 (2005).
[Crossref] [PubMed]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
[Crossref]

A. Mekis and J. Joannopoulos, “Tapered couplers for efficient interfacing between dielectric and photonic crystal waveguides,” J. Lightwave Tech. 19(6), 861–865 (2001).
[Crossref]

J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
[Crossref]

A. Kurs, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Abrupt coupling between strongly dissimilar waveguides with 100% transmission,” Opt. Express 19, 13714–13721 (2011).
[Crossref]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Communications 181, 687–702 (2010).
[Crossref]

M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
[Crossref] [PubMed]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

M. L. Povinelli, S. G. Johnson, E. Lidorikis, J. D. Joannopoulos, and M. Soljačić, “Effect of a photonic band gap on scattering from waveguide disorder,” Appl. Phys. Letters 84, 3639–3641 (2004).
[Crossref]

M. L. Povinelli, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, “Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide,” Appl. Phys. Letters 85, 1466–1468 (2004).
[Crossref]

S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
[Crossref]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of non-linear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[Crossref]

S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8(3), 173–190 (2001).
[Crossref] [PubMed]

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Physics 78, 1415–1418 (1995).
[Crossref]

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding The Flow Of Light, 2nd ed. (Princeton Univ. Press, 2008).

W. Frei, D. Tortorelli, and H. Johnson, “Geometry projection method for optimizing photonic nanostructures,” Opt. Letters 32, 77–79 (2007).
[Crossref]

W. Frei, D. Tortorelli, and H. Johnson, “Topology optimization of a photonic crystal waveguide termination to maximize directional emission,” Appl. Phys. Letters 86(111114) (2005).
[Crossref]

A. Mutapcic, S. Boyd, A. Farjadpour, S. Johnson, and Y. Avniel, “Robust design of slow-light tapers in periodic waveguides,” Engineering Optimization 41, 365–384 (2009).
[Crossref]

A. Oskooi, L. Zhang, Y. Avniel, and S. Johnson, “The failure of perfectly matched layers, and towards their redemption by adiabatic absorbers,” Opt. Express 16(15), 11376–11392 (2008).
[Crossref]

M. Povinelli, S. Johnson, and J. Joannopoulos, “Slow-light, band-edge waveguides for tunable time delays,” Opt. Express 13(8), 7145–7159 (2005).
[Crossref] [PubMed]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
[Crossref]

A. Kurs, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Abrupt coupling between strongly dissimilar waveguides with 100% transmission,” Opt. Express 19, 13714–13721 (2011).
[Crossref]

P. Bermel, M. Ghebrebrhan, W. Chan, Y. X. Yeng, M. Araghchini, R. Hamam, C. H. Marton, K. F. Jensen, M. Soljačić, J. D. Joannopoulos, S. G. Johnson, and I. Celanovic, “Design and global optimization of high-efficiency thermophotovoltaic systems,” Opt. Express 18, A314–A334 (2010).
[Crossref] [PubMed]

A. F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, “MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method,” Comp. Phys. Communications 181, 687–702 (2010).
[Crossref]

M. Ghebrebrhan, P. Bermel, Y. Avniel, J. D. Joannopoulos, and S. G. Johnson, “Global optimization of silicon photovoltaic cell front coatings,” Opt. Express 17, 7505–7518 (2009).
[Crossref] [PubMed]

M. L. Povinelli, S. G. Johnson, E. Lidorikis, J. D. Joannopoulos, and M. Soljačić, “Effect of a photonic band gap on scattering from waveguide disorder,” Appl. Phys. Letters 84, 3639–3641 (2004).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

M. L. Povinelli, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, “Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide,” Appl. Phys. Letters 85, 1466–1468 (2004).
[Crossref]

S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
[Crossref]

M. Soljačić, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, and J. D. Joannopoulos, “Photonic-crystal slow-light enhancement of non-linear phase sensitivity,” J. Opt. Soc. Am. B 19, 2052–2059 (2002).
[Crossref]

S. G. Johnson and J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8(3), 173–190 (2001).
[Crossref] [PubMed]

J. D. Joannopoulos, S. G. Johnson, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding The Flow Of Light, 2nd ed. (Princeton Univ. Press, 2008).

G. Taguchi, R. Jugulum, and S. Taguchi, Computer-Based Robust Engineering: Essentials For DFSS (ASQ Quality Press, 2004).

T. Happ, M. Kamp, and A. Forchel, “Photonic crystal tapers for ultracompact mode conversion,” Opt. Letters 26, 1102–1104 (2001).
[Crossref]

C. Kao, S. Osher, and E. Yablonovitch, “Maximizing band gaps in two-dimensional photonic crystals,” Appl. Phys. B 81, 235–244 (2005).
[Crossref]

L. He, C.-Y. Kao, and S. Osher, “Incorporating topological derivatives into shape derivatives based level set methods,” J. Comp. Physics 225, 891–909 (2007).
[Crossref]

A. Oskooi, P. Favuzzi, Y. Kawakami, and S. Noda, “Tailoring repulsive optical forces in nanophotonic waveguides,” Opt. Letters 36, 4638–4640 (2011).
[Crossref]

E. Khoo, A. Liu, and J. Wu, “Nonuniform photonic crystal taper for high-efficiency mode coupling,” Opt. Express 13, 7748–7759 (2005).
[Crossref] [PubMed]

J. Foresi, P. Villeneuve, J. Ferrera, E. Thoen, G. Steinmeyer, S. Fan, J. Joannopoulos, L. Kimerling, H. Smith, and E. P. Ippen, “Photonic-bandgap microcavities in optical waveguides,” Nature 390, 143–145 (1997).
[Crossref]

P. Bienstman, S. Assefa, S. Johnson, J. Joannopoulos, G. Petrich, and L. Kolodziejski, “Taper structures for coupling into photonic crystal slab waveguides,” J. Opt. Soc. Am. B 20, 1817–1821 (2003).
[Crossref]

S. Assefa, P. T. Rakich, P. Bienstman, S. G. Johnson, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, E. P. Ippen, and H. I. Smith, “Guiding 1.5μm light in photonic crystals based on dielectric rods,” Appl. Phys. Letters 85, 6110–6112 (2004).
[Crossref]

J. Hugonin, P. Lalanne, T. White, and T. Krauss, “Coupling into slow-mode photonic crystal waveguides,” Opt. Letters 32, 2638–2640 (2007).
[Crossref]

N. Ikeda, Y. Sugimoto, Y. Watanabe, N. Ozaki, A. Mizutani, Y. Takata, J. Jensen, O. Sigmund, P. Borel, M. Kristensen, and K. Asakawa, “Topology optimised photonic crystal waveguide intersections with high-transmittance and low crosstalk,” Elec. Letters 42, 1031–1033 (2006).
[Crossref]

P. Borel, A. Harpoth, L. Frandsen, M. Kristensen, P. Shi, J. Jensen, and O. Sigmund, “Topology optimization and fabrication of photonic crystal structures,” Opt. Express 12, 1996–2001 (2004).
[Crossref] [PubMed]

L. Frandsen, A. Harpoth, P. Borel, M. Kristensen, and J. Jensen, “Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization,” Opt. Express 12, 5916–5921 (2004).
[Crossref] [PubMed]

A. Kurs, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Abrupt coupling between strongly dissimilar waveguides with 100% transmission,” Opt. Express 19, 13714–13721 (2011).
[Crossref]

P. Velha, J. Hugonin, and P. Lalanne, “Compact and efficient injection of light into band-edge slow-modes,” Opt. Express 15, 6102–6112 (2007).
[Crossref] [PubMed]

J. Hugonin, P. Lalanne, T. White, and T. Krauss, “Coupling into slow-mode photonic crystal waveguides,” Opt. Letters 32, 2638–2640 (2007).
[Crossref]

A. Talneau, P. Lalanne, M. Agio, and C. Soukoulis, “Low-reflection photonic-crystal taper for efficient coupling between guide sections of arbitrary widths,” Opt. Letters 27, 1522–1524 (2002).
[Crossref]

M. Palamaru and P. Lalanne, “Photonic crystal waveguides: out of plane losses and adiabatic modal conversion,” Appl. Phys. Letters 78, 1466–1468 (2001).
[Crossref]

Y. Elesin, B. Lazarov, J. Jensen, and O. Sigmund, “Design of robust and efficient photonic switches using topology optimization,” Photon. and Nanostruc. 10, 153–165 (2012).
[Crossref]

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S. G. Johnson, M. L. Povinelli, P. Bienstman, M. Skorobogatiy, M. Soljačić, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, “Coupling, scattering and perturbation theory: semi-analytical analyses of photonic-crystal waveguides,” in Proc. 2003 5th Intl. Conf. on Transparent Optical Networks and 2nd European Symp. on Photonic Crystals, vol.  1, pp. 103–109 (2003).
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S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
[Crossref]

J. Hastings, M. Lim, J. Goodberlet, and H. Smith, “Optical waveguides with apodized sidewall gratings via spatial-phase- locked electron-beam lithography,” J. Vac. Sci. Tech. B 20, 2753–2757 (2002).
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E. Khoo, A. Liu, and J. Wu, “Nonuniform photonic crystal taper for high-efficiency mode coupling,” Opt. Express 13, 7748–7759 (2005).
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J. Lu, S. Boyd, and J. Vuckovic, “Inverse design of a three-dimensional nanophotonic resonator,” Opt. Express 19, 10563–10570 (2011).
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P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
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J. Ma and M. Povinelli, “Effect of periodicity on optical forces between a one-dimensional periodic photonic crystal waveguide and an underlying substrate,” Appl. Phys. Letters 97(151102) (2010).
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P. Sanchis, J. Marti, W. Bogaerts, P. Dumon, D. V. Thourhout, and R. Baets, “Experimental results on adiabatic coupling into SOI photonic crystal coupled-cavity waveguides,” IEEE Photon. Tech. Letters 17, 1199–1201 (2005).
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P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
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P. Sanchis, J. Garcia, A. Martinez, F. Cuesta, A. Griol, and J. Marti, “Analysis of adiabatic coupling between photonic crystal single-line-defect and coupled-resonator optical waveguides,” Opt. Letters 28, 1903–1905 (2003).
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P. Sanchis, J. Marti, J. Blasco, A. Martinez, and A. Garcia, “Mode matching technique for highly efficient coupling between dielectric waveguides and planar photonic crystal circuits,” Opt. Express 10, 1391–1397 (2002).
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P. Sanchis, J. Marti, J. Blasco, A. Martinez, and A. Garcia, “Mode matching technique for highly efficient coupling between dielectric waveguides and planar photonic crystal circuits,” Opt. Express 10, 1391–1397 (2002).
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R. Matze, J. Jensen, and O. Sigmund, “Systematic design of slow-light photonic waveguides,” J. Opt. Soc. Am. B 28, 2374–2382 (2011).
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T. White, L. Botten, C. de Sterke, K. Dossou, and R. McPhedran, “Efficient slow-light coupling in a photonic crystal waveguide without transition region,” Opt. Letters 33, 2644–2646 (2008).
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P. Sanchis, P. Bienstman, B. Luyssaert, R. Baets, and J. Marti, “Analysis of butt coupling in photonic crystals,” IEEE J. Quant. Elec. 40, 541–550 (2004).
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F. Wang, J. Jensen, and O. Sigmund, “Robust topology optimization of photonic crystal waveguides with tailored dispersion properties,” J. Opt. Soc. Am. B 28, 387–397 (2011).
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J. Riishede and O. Sigmund, “Inverse design of dispersion compensating optical fiber using topology optimization,” J. Opt. Soc. Am. B 25, 88–97 (2008).
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S. Johnson, P. Bienstman, M. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. Joannopoulos, “Adiabatic theorem and continuous coupled-mode theory for efficient taper transitions in photonic crystals,” Phys. Rev. E 66(066608) (2002).
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