本研究旨在利用數值譜方法模擬光波撞擊到次波長孔洞結構所產生的新光學現象，並且探討此光學現象的控制因素。

The objective of this study is to use pseudospectral schemes for simulating new optical phenomenon that light impinges on the structure with a single subwavelength slit. We then explore the main factors effecting the optical phenomenon.

[1] S. Abarbanel and D. Gottlieb, A mathematical analysis of the pml method,
J. Comput. Phys., 134 (1997), pp. 357–363.
[2] , On the construction and analysis of absorbing layers in cem, Appl. Numer.
Math., 27 (1998), pp. 331–340.
[3] J. P. Berenger, A perfectly matched layer for the absorption of electromagnetic
waves, J. Comput. Phys., 114 (1994), pp. 185–200.
[4] H. A. Bethe, Theory of diffraction by small holes, Physical Review, 66 (1944),
pp. 163–182.
[5] J. Bravo-Abad, L. Mart´ın-Moreno, and F. J. Garc´ıa-Vidal, Transmission
properties of a single metallic slit: From the subwavelength regime to the
geometrical-optics limit, Physical Review E, 69 (2004), p. 026601.
[6] C. Canuto, M. Hussaini, A. Quarteroni, and T. Zang, Spectral Methods
in Fluid Dynamics, Springer Series in Computational Physics, Springer-Verlag,
Berlin, 1988.
[7] M. H. Carpenter and C. A. Kennedy, Fourth order 2n-storage runge-kutta
scheme, NASA, NASA-TM-109112 (1994).
[8] T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff,
Extraordinary optical transmission through sub-wavelength hole arrays, Nature
(London), 391 (1998), pp. 667–669.
[9] G.-X. Fan, Q. H. Liu, and J. S. Hesthaven, Multidomain pseudospectral
time-domain simulations of scattering by objects buried in lossy media, IEEE
Transactions on Geoscience and Remote Sensing, 40 (2002), pp. 1366–1373.
[10] F. J. Garc´ıa-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Mart´ın-
Moreno, Multiple paths to enhance optical transmission through a single subwavelength
slit, Physical Review Letters, 90 (2003), p. 213901.
[11] B. Gustafsson, H. Kreiss, and J. Oliger, Time Dependent Problems and
Difference Methods, Wiley, 1995.
[12] J. Lindberg, K. Lindfors, T. Set¨al¨a, M. Kaivola, and A. T. Friberg,
Spectral analysis of resonant transmission of light through a single sub-wavelength
slit, Optics Express, 12 (2004), pp. 623–632.
[13] L. Mart´ın-Moreno, F. J. Garc´ıa-Vidal, H. J. Lezec, A. Degiron, and
T. W. Ebbesen, Theory of highly directional emission from a single subwavelength
aperture surrounded by surface corrugations, Physical Review Letters, 90
(2003), p. 167401.
[14] M. Ohtsu and K. Kobayashi, Optical Near Fields-Introduction to Classical
and Quantum Theories of Electromagnetic Phenomena at the Nanoscale, Springer-
Verlag, 2004.
[15] J. R. Suckling, A. P. Hibbins, J. R. Sambles, and C. R. Lawrence, Resonant
transmission of microwaves through a finite length subwavelength metallic
slit, New Journal of Physics, 7 (2005), pp. 1–11.
[16] A. Taflove, Computational Electrodynamics- The Finite-Difference Time-
Domain Method, Aztech House, Boston, 1995.
[17] Y. Takakura, Optical resonance in a narrow slit in a thick metallic screen,
Physical Review Letters, 86 (2001), pp. 5601–5603.
[18] B. Yang, D. Gottlieb, and J. S. Hesthaven, Spectral simulations of electromagnetic
wave scattering, Journal of Computational Physics, 134 (1997), pp. 216–
230.
[19] K. S. Yee, Numerical solution of initial boundary value problems involving
maxwell’s equations in isotropic media, IEEE Trans. Antennas Propagat., AP-14
(1966), pp. 302–307.
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