Fetching the paper…
Reading the bibliography…
Gradient-based inverse design in photonics has already achieved remarkable results in designing small-footprint, high-performance optical devices.
Wengert, R. E. A Simple Automatic Derivative Evaluation Program. Commun. ACM 1964
1964
Earlier work this paper cites.
Carniglia, C. K.; Mandel, L. Quantization of Evanescent Electromagnetic Waves. Phys. Rev. D 1971
1971
Earlier work this paper cites.
Lee, S.-w. Fourier Transform of a Polygonal Shape Function and Its Application in Electromagnetics. IEEE Trans. Antennas Propag. 1983
1983
Earlier work this paper cites.
Rumelhart, D. E.; Hinton, G. E.; Williams, R. J. In Parallel Distributed Processing ; Rumelhart, D. E., McClelland, R. J., Eds.; MIT Press, 1986; Vol. 1; Chapter 8
1986
Earlier work this paper cites.
Ho, K. M.; Chan, C. T.; Soukoulis, C. M. Existence of a photonic gap in periodic dielectric structures. Phys. Rev. Lett. 1990
1990
Earlier work this paper cites.
Bischof, C.; Carle, A.; Corliss, G.; Griewank, A.; Hovland, P. ADIFOR-Generating Derivative Codes from Fortran Programs. Sci. Program. 1992
1992
Earlier work this paper cites.
Byrd, R. H.; Lu, P.; Nocedal, J.; Zhu, C. A Limited Memory Algorithm for Bound Constrained Optimization. SIAM Journal on Scientific Computing 1995
1995
Earlier work this paper cites.
Li, L. Use of Fourier series in the analysis of discontinuous periodic structures. J. Opt. Soc. Am. A 1996
1996
Earlier work this paper cites.
Zhu, C.; Byrd, R. H.; Lu, P.; Nocedal, J. Algorithm 778: L-BFGS-B: Fortran Subroutines for Large-Scale Bound-Constrained Optimization. ACM Trans. Math. Softw. 1997
1997
Earlier work this paper cites.
Johnson, S.; Joannopoulos, J. Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis. Opt. Express 2001
2001
Earlier work this paper cites.
Ochiai, T.; Sakoda, K. Nearly free-photon approximation for two-dimensional photonic crystal slabs. Phys. Rev. B 2001
2001
Earlier work this paper cites.
Boyd, R. W. Nonlinear optics ; Elsevier, 2003
2003
Earlier work this paper cites.
Veronis, G.; Dutton, R. W.; Fan, S. Method for sensitivity analysis of photonic crystal devices. Opt. Lett. 2004
2004
Earlier work this paper cites.
Arizmendi, L. Photonic applications of lithium niobate crystals. Phys. status solidi 2004
2004
Earlier work this paper cites.
Lee, T. H. Adjoint method for design sensitivity analysis of multiple eigenvalues and associated eigenvectors. AIAA J. 2007
2004
Earlier work this paper cites.
Andreani, L. C.; Gerace, D. Photonic-crystal slabs with a triangular lattice of triangular holes investigated using a guided-mode expansion method. Phys. Rev. B 2006
2006
Earlier work this paper cites.
Dauvergne, B.; Hascoët, L. The data-flow equations of checkpointing in reverse automatic differentiation. Int. Conf. Comput. Sci. 2006; pp 566–573
2006
Earlier work this paper cites.
Sambridge, M.; Rickwood, P.; Rawlinson, N.; Sommacal, S. Automatic Differentiation in Geophysical Inverse Problems. 2007
2007
Earlier work this paper cites.
Baba, T. Slow light in photonic crystals. Nat. Photonics 2008
2008
Earlier work this paper cites.
Griewank, A.; Walther, A. Evaluating derivatives: principles and techniques of algorithmic differentiation ; Siam, 2008; Vol. 105
2008
Earlier work this paper cites.
Joannopoulos, J. D.; Johnson, S. G.; Winn, J. N.; Others, Photonic Crystals: Molding the Flow of Light ; Princeton University Press, 2008
2008
Earlier work this paper cites.
Giles, M. B. Collected matrix derivative results for forward and reverse mode algorithmic differentiation. Lect. Notes Comput. Sci. Eng. 2008
2008
Cited alongside, same era.
Zabelin, V. Numerical Investigations of Two-Dimensional Photonic Crystal Optical Properties, Design and Analysis of Photonic Crystal Based Structures. Ph.D. thesis, 2009
2009
Cited alongside, same era.
Enciu, P.; Gerbaud, L.; Wurtz, F. Automatic Differentiation Applied for Optimization of Dynamical Systems. IEEE Transactions on Magnetics 2010
2010
Cited alongside, same era.
Jensen, J. S.; Sigmund, O. Topology optimization for nano-photonics. Laser Photon. Rev. 2011
2011
Cited alongside, same era.
van der Walt, S.; Colbert, S. C.; Varoquaux, G. The NumPy Array: A Structure for Efficient Numerical Computation. Computing in Science Engineering 2011
2011
Hughes, T. W.; Minkov, M.; Williamson, I. A. D.; Fan, S. Adjoint Method and Inverse Design for Nonlinear Nanophotonic Devices. ACS Photonics 2018
2018
Later among the works it cites.
Baydin, A. G.; Pearlmutter, B. A.; Radul, A. A.; Siskind, J. M. Automatic differentiation in machine learning: a survey. J. Mach. Learn. Res. 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
Bradbury, J.; Frostig, R.; Hawkins, P.; Johnson, M. J.; Leary, C.; Maclaurin, D.; Wanderman-Milne, S. JAX: composable transformations of Python+NumPy programs. 2018; http://github.com/google/jax
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Lu, J.; Boyd, S.; Vučković, J. Inverse design of a three-dimensional nanophotonic resonator. Opt. Express 2011
2011
Cited alongside, same era.
Wang, F.; Jensen, J. S.; Mørk, J.; Sigmund, O. Systematic design of loss-engineered slow-light waveguides. J. Opt. Soc. Am. A 2012
2012
Cited alongside, same era.
Lalau-Keraly, C. M.; Bhargava, S.; Miller, O. D.; Yablonovitch, E. Adjoint shape optimization applied to electromagnetic design. Opt. Express 2013
2013
Cited alongside, same era.
Moss, D. J.; Morandotti, R.; Gaeta, A. L.; Lipson, M. New CMOS-compatible platforms based on silicon nitride and Hydex for nonlinear optics. Nat. Photonics 2013
2013
Cited alongside, same era.
Minkov, M.; Savona, V. Automated optimization of photonic crystal slab cavities. Sci. Rep. 2014
2014
Cited alongside, same era.
Piggott, A. Y.; Lu, J.; Lagoudakis, K. G.; Petykiewicz, J.; Babinec, T. M.; Vučković, J. Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer. Nat. Photonics 2015
2015
Cited alongside, same era.
Minkov, M.; Savona, V. Wide-band slow light in compact photonic crystal coupled-cavity waveguides. Optica 2015
2015
Cited alongside, same era.
2018
Later among the works it cites.
Lalanne, P.; Yan, W.; Vynck, K.; Sauvan, C.; Hugonin, J. P. Light Interaction with Photonic and Plasmonic Resonances. Laser Photonics Rev. 2018
2018
Later among the works it cites.
Minkov, M.; Williamson, I. A. D.; Xiao, M.; Fan, S. Zero-index bound states in the continuum. Phys. Rev. Lett. 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
Paszke, A. et al. Advances in Neural Information Processing Systems 32 ; 2019; pp 8024–8035
2019
Later among the works it cites.
2019
Later among the works it cites.
Innes, M. Don’t Unroll Adjoint: Differentiating SSA-Form Programs. arXiv:1810.07951 [cs] 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
Hughes, T. W.; Williamson, I. A. D.; Minkov, M.; Fan, S. Forward-Mode Differentiation of Maxwell’s Equations. ACS Photonics 2019
2019
Later among the works it cites.
Hughes, T. W.; Williamson, I. A. D.; Minkov, M.; Fan, S. Wave physics as an analog recurrent neural network. Sci. Adv. 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
Wang, F.; Zheng, D.; Decker, J.; Wu, X.; Essertel, G. M.; Rompf, T. Demystifying differentiable programming: shift/reset the penultimate backpropagator. Proc. ACM Program. Lang. 2019
2019
Later among the works it cites.
Minkov, M.; Gerace, D.; Fan, S. Doubly resonant χ \chi (2) nonlinear photonic crystal cavity based on a bound state in the continuum. Optica 2019
2019
Later among the works it cites.
Vercruysse, D.; Sapra, N. V.; Su, L.; Trivedi, R.; Vučković, J. Analytical level set fabrication constraints for inverse design. Sci. Rep. 2019
2019
Later among the works it cites.
2020
Closest in time.
Virtanen, P. et al. SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python. Nature Methods 2020
2020
Closest in time.