Optical Cloak Design Exploiting Efficient Anisotropic Adjoint Sensitivity Analysis
关键词:
Adjoint variable method, computationally intensive structures, gradient-based optimization, invisibility cloaks, massive parameters, sensitivity analysis acceleration摘要
We propose in this work a novel optimizationbased wideband invisibility cloaking approach at optical frequencies. We exploit the memory efficient anisotropic adjoint variable method (AVM) to significantly accelerate the sensitivity analysis with respect to the large number of parameters. Minimizing the cloaking objective function involves the gradients estimation with respect to a massive number of parameters at every iteration for time-intensive electromagnetic simulations. The AVM evaluates the required gradients over one thousand time faster than conventional methods. The significant reduction in the computational cost enables wideband optimization-based cloak design at optical region.
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参考
W. Yu, X. Yang, Y. Liu, R. Mittra, D. Chang, C. Liao, M. Akira, W. Li, and L. Zhao, “New development of parallel conformal FDTD method in computational electromagnetics engineering,” IEEE Antennas and Propag. Magzine, vol. 53, pp. 15-41, 2011.
W. Yu, X. Yang, Y. Liu, R. Mittra, Q. Rao, and A. Muto, “High performance conformal FDTD techniques,” IEEE Microwave Magazine, vol. 11, pp. 42-55, 2010.
W. Yu, W. Li, A. Elsherbeni, and Y. R. Samii, Advanced Computational Electromagnetic Methods and Applications. Norwood, MA: Artech House, 2015.
E. Haber, Computational Methods in Geophysical Electromagnetics. Philadelphia, PA: Society for Inducterial and Applied Mathematics, 2015.
M. H. Bakr, Nonlinear Optimization in Electrical Engineering with Applications in Matlab©. London, UK: IET, 2013.
J. Fan, F. Han, and H. Liu, “Challenges of big data analysis,” Natl. Sci. Rev., vol. 1, pp. 293-314, 2014.
L. S. Kalantari, O. S. Ahmed, M. H. Bakr, and N. Nikolova, “Adjoint sensitivity analysis of 3D problems with anisotropic materials,” IEEE Int. Microw. Symp. Digest., Tampa Bay, FL, pp. 1-3, 2014.
A. Alù and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E, vol. 72, pp. 016623, 2005.
J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science, vol. 312, no. 5781, pp. 1780-1782, 2006.
J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express, vol. 19, no. 9, pp. 8625-8631, 2011.
W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photon., vol. 1, pp. 224-227, 2007.
B. I. Popa and S. A. Cummer, “Cloaking with optimized homogeneous anisotropic layers,” Phys. Rev. A., vol. 79, pp. 023806, 2009.
J. Andkjaer and O. Sigmund, “Topology optimized low-contrast all-dielecteric optical cloak,” Appl. Phys. Lett., vol. 98, pp. 021112, 2011.
X. Wang and E. Semouchkina, “A route for efficient non-resonance cloaking by using multilayer dielectric coating,” Appl. Phys. Lett., vol. 102, pp. 113506, 2013.
Y. Urzhumov, N. Landy, T. Driscoll, D. Basov, and D. R. Smith, “Thin low-loss dielectric coatings for free-space cloaking,” Opt. Lett., vol. 38, pp. 1606-1608, 2013.
A. Håkansson, “Cloaking of objects from electromagnetic fields by inverse design of scattering optical elements,” Opt. Express, vol. 15, no. 7, pp. 4328-4334, 2007.
L. S. Kalantari and M. H. Bakr, “Cloaking exploiting anisotropic adjoint sensitivity analysis,” IEEE Antennas and Propag. Soc. Int. Symp. Digest., Vancouver, BC, pp. 61-62, 2015.
L. S. Kalantari and M. H. Bakr, “Wideband cloaking of objects with arbitrary shape exploiting adjoint sensitivities,” IEEE Trans. Antennas. Propag., vol. 64, no. 5, pp. 1963-1968, 2016.
