1. Basharin, A. A., M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, "Dielectric metamaterials with toroidal dipolar response," Physical Review X, 2015.        Google Scholar

2. Ribot, C., P. Lalanne, M.-S.-L. Lee, B. Loiseaux, and J.-P. Huignard, "Analysis of blazed diffractive optical elements formed with artificial dielectrics," Jounal of the Optical Society of America A, Vol. 24, No. 12, 3819-3826, 2007.
doi:10.1364/JOSAA.24.003819        Google Scholar

3. Glaser, T., S. Schroter, H. Bartelt, H.-J. Fuchs, and E.-B. Kley, "Diffractive optical isolator made of high-efficiency dielectric gratings only," Applied Optics, Vol. 41, No. 18, 3558-3566, 2002.
doi:10.1364/AO.41.003558        Google Scholar

4. Dzibrou, D. O., J. J. G. M. van der Tol, and M. K. Smit, "Tolerant polarization converter for ingaaspinp photonic integrated circuits," Optics Letters, Vol. 38, No. 18, 3482-3484, 2013.
doi:10.1364/OL.38.003482        Google Scholar

5. Wang, L., Y. Wang, and X. Zhang, "Embedded metallic focus grating for silicon nitride waveguide with enhanced coupling and directive radiation," Optical Express, Vol. 20, No. 16, 2012.        Google Scholar

6. Shlager, K. L. and J. B. Schneider, "A selective survey of the finite-difference time-domain literature," IEEE Antennas and Propagation Magazine, Vol. 37, No. 4, 1995.
doi:10.1109/74.414731        Google Scholar

7. Bengzon, F. and M. G. Larson, The Finite Element Method: Theory, Implementation, and Applications, Springer, 2013.
doi:10.1007/978-3-642-33287-6

8. Clemens, M. and T. Weiland, "Discrete electromagnetism with the finite integration technique," Progress In Electromagnetics Research, Vol. 32, 65-87, 2001.
doi:10.2528/PIER00080103        Google Scholar

9. Zwamborn, P. and P. M. van den Berg, "The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 9, 1992.
doi:10.1109/22.156602        Google Scholar

10. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Science, Vol. 31, No. 5, 1225-1251, 1996.
doi:10.1029/96RS02504        Google Scholar

11. Philips, J. R. and J. K. White, "Efficient capacitiance extraction of 3D structures using generalized precorrected FFT methods," IEEE Transactions on Microwave Theory and Techniques, 253-256, 1994.        Google Scholar

12. Botten, I. C., M. S. Craig, R. C. McPhedran, J. L. Adams, and J. R. Andrewartha, "The dielectric Lamellar diffraction grating," Optica Acta, Vol. 28, No. 3, 413-428, 1981.
doi:10.1080/713820571        Google Scholar

13. Moharam, M. G. and T. K. Gaylord, "Rigorous coupled-wave analysis of planar-grating diffraction," Jounal of the Optical Society of America, Vol. 71, No. 7, 1981.        Google Scholar

14. Chandezon, J., D. Maystre, and G. Raoult, "A new theoretical method for diffraction gratings and its numerical application," Journal of Optics, Vol. 11, 235-241, 1980.
doi:10.1088/0150-536X/11/4/005        Google Scholar

15. Poyedinchuk, A. Y., Y. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, "C-method: Several aspects of spectral theorry of gratings," Progress In Electromagnetics Research, Vol. 59, 113-149, 2006.
doi:10.2528/PIER05050901        Google Scholar

16. Van Beurden, M. C., "A spectral volume integral equation method for arbitrary bi-periodic gratings with explicit Fourier factorization," Progress In Electromagnetics Research B, Vol. 36, 133-149, 2012.
doi:10.2528/PIERB11100307        Google Scholar

17. Pisarenco, M., J. Maubach, I. Setija, and R. Mattheij, "Formulation for simulation of scattering from finite structures," Journal of The Optical Society of America A, 2010.        Google Scholar

18. Bastiaans, M. J., "A sampling theorem for the complex spectrogram, and Gabor's expansion of a signal in Gaussian elementary signals," Optical Engineering, Vol. 20, No. 4, 594-598, 1981.
doi:10.1117/12.7972768        Google Scholar

19. Bastiaans, M. J., Gabor's expansion and the Zak transform for continuous-time and discrete-time signals: Critical sampling and rational oversampling, Eindhoven University of Technology, Eindhoven, 1995.

20. Feichtinger, H. G. and T. Strohmer, Gabor Analysis and Algorithms: Theory and Applications, Birkhauser, 1998.
doi:10.1007/978-1-4612-2016-9

21. Battle, G., "Heisenberg proof of the Balian-Low theorem," Letters in Mathematical Physics, Vol. 15, 175-177, 1988.
doi:10.1007/BF00397840        Google Scholar

22. Benedetto, J. J., C. Heil, and D. F. Walnut, "Differentiation and the Balian-Low theorem," The Journal of Fourier Analysis and Applications, Vol. 1, No. 4, 355-402, 1995.
doi:10.1007/s00041-001-4016-5        Google Scholar

23. Sondergaard, P. L., Finite discrete Gabor analysis, PhD Thesis, Institut for Matematik, DTU, 2007.

24. Maciel, J. J. and L. B. Felsen, "Discretized Gabor-based beam algorithm for time-harmonic radiation from two-dimensional truncated planar aperture distributions --- I: Formulation and solution," IEEE Transactions on Antennas and Propagation, Vol. 50, No. 12, 1751-1759, 2002.
doi:10.1109/TAP.2002.807419        Google Scholar

25. Maciel, J. J. and L. B. Felsen, "ctime-harmonic radiation from two-dimensional truncated planar aperture distributions --- II: Asymptotics and numerical tests," IEEE Transactions on Antennas and Propagation, Vol. 50, No. 12, 1760-1768, 2002.
doi:10.1109/TAP.2002.807381        Google Scholar

26. Einziger, P. D., S. Raz, and M. Saphira, "Gabor representation and aperture theory," Journal of Journal of the Optical Society of America, Vol. 3, No. 4, 508-522, 1986.
doi:10.1364/JOSAA.3.000508        Google Scholar

27. Maciel, J. J. and L. B. Felsen, "Systematic study of fields due to extended apertures by Gaussian discretization," IEEE Transactions on Antennas and Propagation, Vol. 37, No. 7, 884-892, 1989.
doi:10.1109/8.29383        Google Scholar

28. Daubechies, I., S. Jaffard, and J.-L. Journe, "A simple Wilson orthonormal basis with exponential decay," SIAM Journal on Mathematical Analysis, Vol. 22, No. 2, 554-572, 1991.
doi:10.1137/0522035        Google Scholar

29. Floris, S. J. and B. P. de Hon, "Electromagnetic field expansion in a Wilson basis," Proceedings of the 42nd European Microwave Conference (EuMC), Amsterdam, NL, Oct. 29-Nov. 1, 2012.        Google Scholar

30. Lugara, D. and C. Letrou, "Printed antennas analysis by a Gabor frame-based method of moments," IEEE Transactions on Antennas and Propagation, Vol. 50, No. 11, 1588-1597, 2002.
doi:10.1109/TAP.2002.804023        Google Scholar

31. Jackson, J. D., "Classical Electrodynamics," Wiley, 2007.        Google Scholar

32. Szego, G., "Orthogonal polynomials," Royal American Mathematical Society, 1975.        Google Scholar

33. Balanis, C. A., Advanced Engineering Electromagnetics, John Wiley & Sons, Inc., 1989.

34. Burger, S., L. Zschiedrich, J. Pomplun, and F. Schmidt, "Finite-element based electromagnetic field simulations: Benchmark results for isolated structures," Proc. SPIE, Vol. 8880, 2013.        Google Scholar