A Simulation of Near Field Optics by Three Dimensional Volume Integral Equation of Classical Electromagnetic Theory

Simulation of confined and enhanced optical near-fields for an I-shaped aperture in a pyramidal structure on a thick metallic screen

“…Equation ͑1͒ has been applied to a number of NFO problems, and has revealed numerous interesting findings. [13][14][15][16][17][18][19] For the problem shown in Fig. 1, however, the volume integral region V has an infinite volume, making it impossible to apply Eq.…”

Simulation of an aperture in the thick metallic screen that gives high intensity and small spot size using surface plasmon polariton

“…The infinite volume V is approximated by the truncated volume given by k 0 C x × k 0 C y × k 0 w = 19.2 × 19.2 × 1.9, and the integral is discretized by a pulse function and point matching (collocation) method. The resulting system of linear equations is then solved by iteration using generalized conjugate residual (GCR) and fast Fourier transformation (FFT) (Samokhin, 1993; Barret et al ., 1994; Tanaka et al ., 2001). The field E C ( x ) is confirmed to converge in the region far from the aperture and to be independent of the truncated integral volume used in the numerical calculation.…”

A Simulation of Near-Field Optics: Optical Waves Through an Aperture in 3D Thick Metallic Screen by Volume Integral Equation Method.

“…In this paper, we first fix the parameters as follows: The wavelength is λ=488nm，incident angle is θ i =φ i =0.0 (vertical incidence)，the incident electric vector E i (x) is parallel to the x-axis with unit amplitude (|E 0 |=1), aperture size is k 0 a x =k 0 a y =1.2 (about 0.19×0.19 wavelength) ，complex permittivity of the metal slab is given byε 1 =n 1 2 = -1.68 -j4.46 (Gold) (18) . We discritized the volume integral equation 5by the pulse function plus point matching (collocation) method and solve the resultant system of linear equations by the iteration method called Generalized Minimum Residual Method (GMRES) (17) . Since the maximum number of unknowns of the linear equations can exceed 10 5 , the direct solver such as LU decomposition cannot be used.…”

“…In this paper, we perform 3D numerical simulations of the optical field scattered by an aperture in the complex-valued dielectric screen (slab) with a finite thickness by the volume integral equation (16), (17) . The simulation results in this paper will give the important and interesting information concerning basic characteristics of near-field scanning microscope (NSOM).…”