S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[CrossRef]

J. S. Volker, Y. Ziliang, F. Rupert, W. Yuan, B. Guy, Y. Xiaobo, and Z. Xiang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

A. S. Sanz, M. Davidović, M. Božić, and S. Miret-Artés, “Understanding interference experiments with polarized light through photon trajectories,” Ann. Phys. 325, 763–784 (2010).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

T. L. Dimitrova and A. Weis, “Single photon quantum erasing: a demonstration experiment,” Eur. J. Phys. 31, 625–637 (2010).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

T. L. Dimitrova and A. Weis, “Lecture demonstrations of interference and quantum erasing with single photons,” Phys. Scr. T135, 014003 (2009).

[CrossRef]

T. L. Dimitrova and A. Weis, “The wave-particle duality of light: a demonstration experiment,” Am. J. Phys. 76, 137–142 (2008).

[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).

[CrossRef]

A. S. Sanz and S. Miret-Artés, “A trajectory-based understanding of quantum interference,” J. Phys. A 41, 435303 (2008).

[CrossRef]

A. S. Sanz, F. Borondo, and S. Miret-Artés, “Particle diffraction studied using quantum trajectories,” J. Phys. Condens. Matter 14, 6109–6145 (2002).

[CrossRef]

D.-S. Min, D. W. Langer, D. K. Pant, and R. D. Coalson, “Numerical techniques for modeling guided-wave photonic devices,” Fiber Integr. Opt. 16, 331–342 (1997).

[CrossRef]

R. D. Coalson, D. K. Pant, A. Ali, and D. W. Langer, “Computing the eigenmodes of lossy field-induced optical waveguides,” J. Lightwave Technol. 12, 1015–1022 (1994).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

M. D. Feit, J. J. A. Fleck, and A. Stieger, “Solution of the Schrödinger equation by a spectral method,” J. Comput. Phys. 47, 412–433 (1982).

[CrossRef]

P. K. Tien, “Rules of refractive index and a potential well model of the optical waveguides,” Radio Sci. 16, 437–444 (1981).

[CrossRef]

P. K. Tien, “Integrated optics and new wave phenomena in optical waveguides,” Rev. Mod. Phys. 49, 361–420 (1977).

[CrossRef]

J. O. Hirschfelder and K. T. Tang, “Quantum mechanical streamlines. III. Idealized reactive atom-diatomic molecule collision,” J. Chem. Phys. 64, 760–785 (1976).

[CrossRef]

J. O. Hirschfelder and K. T. Tang, “Quantum mechanical streamlines. IV. Collision of two spheres with square potential wells or barriers,” J. Chem. Phys. 65, 470–486 (1976).

[CrossRef]

J. O. Hirschfelder, A. C. Christoph, and W. E. Palke, “Quantum mechanical streamlines. I. Square potential barrier,” J. Chem. Phys. 61, 5435–5455 (1974).

[CrossRef]

J. O. Hirschfelder, C. J. Goebel, and L. W. Bruch, “Quantized vortices around wavefunction nodes. II,” J. Chem. Phys. 61, 5456–5459 (1974).

[CrossRef]

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Magnetic monopoles in the hydrodynamic formulation of quantum mechanics,” Phys. Rev. D 3, 2410–2412 (1971).

[CrossRef]

D. Bohm, “A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. I,” Phys. Rev. 85, 166–179 (1952).

[CrossRef]

E. Madelung, “Quantentheorie in hydrodynamischer Form,” Z. Phys. 40, 322–326 (1926).

[CrossRef]

R. D. Coalson, D. K. Pant, A. Ali, and D. W. Langer, “Computing the eigenmodes of lossy field-induced optical waveguides,” J. Lightwave Technol. 12, 1015–1022 (1994).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Magnetic monopoles in the hydrodynamic formulation of quantum mechanics,” Phys. Rev. D 3, 2410–2412 (1971).

[CrossRef]

I. Bialynicki-Birula and Z. Bialynicka-Birula, “Magnetic monopoles in the hydrodynamic formulation of quantum mechanics,” Phys. Rev. D 3, 2410–2412 (1971).

[CrossRef]

I. Bialynicki-Birula, M. Cieplak, and J. Kaminski, Theory of Quanta (Oxford University, 1992).

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

D. Bohm, “A suggested interpretation of the quantum theory in terms of ‘hidden’ variables. I,” Phys. Rev. 85, 166–179 (1952).

[CrossRef]

M. Born and E. Wolf, Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999), 7th ed.

A. S. Sanz, F. Borondo, and S. Miret-Artés, “Particle diffraction studied using quantum trajectories,” J. Phys. Condens. Matter 14, 6109–6145 (2002).

[CrossRef]

A. S. Sanz, M. Davidović, M. Božić, and S. Miret-Artés, “Understanding interference experiments with polarized light through photon trajectories,” Ann. Phys. 325, 763–784 (2010).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[CrossRef]

J. O. Hirschfelder, C. J. Goebel, and L. W. Bruch, “Quantized vortices around wavefunction nodes. II,” J. Chem. Phys. 61, 5456–5459 (1974).

[CrossRef]

H. A. Buchdahl, An Introduction to Hamiltonian Optics(Cambridge University, 1970).

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for optical waveguide design: application to Y-branch structures,” Appl. Opt. 38, 3917–3923 (1999).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for the design of optical waveguides,” J. Lightwave Technol. 16, 292–300 (1998).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

J. O. Hirschfelder, A. C. Christoph, and W. E. Palke, “Quantum mechanical streamlines. I. Square potential barrier,” J. Chem. Phys. 61, 5435–5455 (1974).

[CrossRef]

I. Bialynicki-Birula, M. Cieplak, and J. Kaminski, Theory of Quanta (Oxford University, 1992).

J. Campos-Martíınez and R. D. Coalson, “The wide-angle equation and its solution through the short-time iterative Lanczos method,” Appl. Opt. 42, 1732–1742 (2003).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for optical waveguide design: application to Y-branch structures,” Appl. Opt. 38, 3917–3923 (1999).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for the design of optical waveguides,” J. Lightwave Technol. 16, 292–300 (1998).

[CrossRef]

D.-S. Min, D. W. Langer, D. K. Pant, and R. D. Coalson, “Numerical techniques for modeling guided-wave photonic devices,” Fiber Integr. Opt. 16, 331–342 (1997).

[CrossRef]

R. D. Coalson, D. K. Pant, A. Ali, and D. W. Langer, “Computing the eigenmodes of lossy field-induced optical waveguides,” J. Lightwave Technol. 12, 1015–1022 (1994).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

A. S. Sanz, M. Davidović, M. Božić, and S. Miret-Artés, “Understanding interference experiments with polarized light through photon trajectories,” Ann. Phys. 325, 763–784 (2010).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

T. L. Dimitrova and A. Weis, “Single photon quantum erasing: a demonstration experiment,” Eur. J. Phys. 31, 625–637 (2010).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

T. L. Dimitrova and A. Weis, “Lecture demonstrations of interference and quantum erasing with single photons,” Phys. Scr. T135, 014003 (2009).

[CrossRef]

T. L. Dimitrova and A. Weis, “The wave-particle duality of light: a demonstration experiment,” Am. J. Phys. 76, 137–142 (2008).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

M. D. Feit and J. J. A. Fleck, “Solution of the Schrödinger equation by a spectral method II: vibrational energy levels of triatomic molecules,” J. Chem. Phys. 78, 301–308 (1983).

[CrossRef]

M. D. Feit, J. J. A. Fleck, and A. Stieger, “Solution of the Schrödinger equation by a spectral method,” J. Comput. Phys. 47, 412–433 (1982).

[CrossRef]

M. D. Feit and J. J. A. Fleck, “Solution of the Schrödinger equation by a spectral method II: vibrational energy levels of triatomic molecules,” J. Chem. Phys. 78, 301–308 (1983).

[CrossRef]

M. D. Feit, J. J. A. Fleck, and A. Stieger, “Solution of the Schrödinger equation by a spectral method,” J. Comput. Phys. 47, 412–433 (1982).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

J. O. Hirschfelder, C. J. Goebel, and L. W. Bruch, “Quantized vortices around wavefunction nodes. II,” J. Chem. Phys. 61, 5456–5459 (1974).

[CrossRef]

A. S. Sanz, D. López-Durán, and T. González-Lezana, “Investigating transition state resonances in the time domain by means of Bohmian mechanics: the F + HD reaction,” Chem. Phys., doi:10.1016/j.chemphys.2011.07.017 (to be published).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

J. S. Volker, Y. Ziliang, F. Rupert, W. Yuan, B. Guy, Y. Xiaobo, and Z. Xiang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for optical waveguide design: application to Y-branch structures,” Appl. Opt. 38, 3917–3923 (1999).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for the design of optical waveguides,” J. Lightwave Technol. 16, 292–300 (1998).

[CrossRef]

J. O. Hirschfelder and K. T. Tang, “Quantum mechanical streamlines. IV. Collision of two spheres with square potential wells or barriers,” J. Chem. Phys. 65, 470–486 (1976).

[CrossRef]

J. O. Hirschfelder and K. T. Tang, “Quantum mechanical streamlines. III. Idealized reactive atom-diatomic molecule collision,” J. Chem. Phys. 64, 760–785 (1976).

[CrossRef]

J. O. Hirschfelder, A. C. Christoph, and W. E. Palke, “Quantum mechanical streamlines. I. Square potential barrier,” J. Chem. Phys. 61, 5435–5455 (1974).

[CrossRef]

J. O. Hirschfelder, C. J. Goebel, and L. W. Bruch, “Quantized vortices around wavefunction nodes. II,” J. Chem. Phys. 61, 5456–5459 (1974).

[CrossRef]

P. R. Holland, The Quantum Theory of Motion (Cambridge University, 1993).

S. Longhi, D. Janner, M. Marano, and P. Laporta, “Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: dynamic-model stabilization and radiation-loss suppression,” Phys. Rev. E 67, 036601 (2003).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

I. Bialynicki-Birula, M. Cieplak, and J. Kaminski, Theory of Quanta (Oxford University, 1992).

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

D.-S. Min, D. W. Langer, D. K. Pant, and R. D. Coalson, “Numerical techniques for modeling guided-wave photonic devices,” Fiber Integr. Opt. 16, 331–342 (1997).

[CrossRef]

R. D. Coalson, D. K. Pant, A. Ali, and D. W. Langer, “Computing the eigenmodes of lossy field-induced optical waveguides,” J. Lightwave Technol. 12, 1015–1022 (1994).

[CrossRef]

S. Longhi, D. Janner, M. Marano, and P. Laporta, “Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: dynamic-model stabilization and radiation-loss suppression,” Phys. Rev. E 67, 036601 (2003).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

S. Longhi, D. Janner, M. Marano, and P. Laporta, “Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: dynamic-model stabilization and radiation-loss suppression,” Phys. Rev. E 67, 036601 (2003).

[CrossRef]

A. S. Sanz, D. López-Durán, and T. González-Lezana, “Investigating transition state resonances in the time domain by means of Bohmian mechanics: the F + HD reaction,” Chem. Phys., doi:10.1016/j.chemphys.2011.07.017 (to be published).

[CrossRef]

E. Madelung, “Quantentheorie in hydrodynamischer Form,” Z. Phys. 40, 322–326 (1926).

[CrossRef]

S. Longhi, D. Janner, M. Marano, and P. Laporta, “Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: dynamic-model stabilization and radiation-loss suppression,” Phys. Rev. E 67, 036601 (2003).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

D.-S. Min, D. W. Langer, D. K. Pant, and R. D. Coalson, “Numerical techniques for modeling guided-wave photonic devices,” Fiber Integr. Opt. 16, 331–342 (1997).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

A. S. Sanz, M. Davidović, M. Božić, and S. Miret-Artés, “Understanding interference experiments with polarized light through photon trajectories,” Ann. Phys. 325, 763–784 (2010).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

A. S. Sanz and S. Miret-Artés, “A trajectory-based understanding of quantum interference,” J. Phys. A 41, 435303 (2008).

[CrossRef]

A. S. Sanz, F. Borondo, and S. Miret-Artés, “Particle diffraction studied using quantum trajectories,” J. Phys. Condens. Matter 14, 6109–6145 (2002).

[CrossRef]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

J. O. Hirschfelder, A. C. Christoph, and W. E. Palke, “Quantum mechanical streamlines. I. Square potential barrier,” J. Chem. Phys. 61, 5435–5455 (1974).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for optical waveguide design: application to Y-branch structures,” Appl. Opt. 38, 3917–3923 (1999).

[CrossRef]

D. K. Pant, R. D. Coalson, M. I. Hernández, and J. Campos-Martínez, “Optimal control theory for the design of optical waveguides,” J. Lightwave Technol. 16, 292–300 (1998).

[CrossRef]

D.-S. Min, D. W. Langer, D. K. Pant, and R. D. Coalson, “Numerical techniques for modeling guided-wave photonic devices,” Fiber Integr. Opt. 16, 331–342 (1997).

[CrossRef]

R. D. Coalson, D. K. Pant, A. Ali, and D. W. Langer, “Computing the eigenmodes of lossy field-induced optical waveguides,” J. Lightwave Technol. 12, 1015–1022 (1994).

[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).

[CrossRef]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[CrossRef]

C. Leforestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karrlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, “A comparison of different propagation schemes for the time dependent Schrödinger equation,” J. Comp. Phys. 94, 59–80 (1991).

[CrossRef]

J. S. Volker, Y. Ziliang, F. Rupert, W. Yuan, B. Guy, Y. Xiaobo, and Z. Xiang, “Experimental demonstration of low-loss optical waveguiding at deep sub-wavelength scales,” Nat. Commun. 2, 331 (2011).

[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).

[CrossRef]

A. S. Sanz, M. Davidović, M. Božić, and S. Miret-Artés, “Understanding interference experiments with polarized light through photon trajectories,” Ann. Phys. 325, 763–784 (2010).

[CrossRef]

M. Božić, M. Davidović, T. L. Dimitrova, S. Miret-Artés, A. S. Sanz, and A. Weis, “Generalized Arago–Fresnel laws: the eme-flow-line description,” J. Russ. Laser Res. 31, 117–128 (2010).

[CrossRef]

M. Davidović, A. S. Sanz, D. Arsenović, M. Božić, and S. Miret-Artés, “Electromagnetic energy flow lines as possible paths of photons,” Phys. Scr. T135, 014009 (2009).

[CrossRef]

A. S. Sanz and S. Miret-Artés, “A trajectory-based understanding of quantum interference,” J. Phys. A 41, 435303 (2008).

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