2008
DOI: 10.1364/ol.33.001491
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Iterative technique for analysis of periodic structures at oblique incidence in the finite-difference time-domain method

Abstract: Normal incidence of a plane electromagnetic wave on a periodical structure can be simulated by the finite-difference time-domain method using a single unit cell with periodical boundary conditions imposed on its borders. For the oblique wave incidence, the boundary conditions would contain time delays and thus are difficult to implement in the time-domain method. We propose a method of oblique incidence simulation, based on an iterative algorithm. The accuracy of this method is demonstrated by comparing it wit… Show more

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Cited by 30 publications
(20 citation statements)
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“…In cases of poor convergence, special FDTD techniques, for example subpixel smoothing for interfaces or additional PML layers may be required. Convergence and accuracy of FDTD calculations based on EMTL have been demonstrated in our previous papers [33, [35][36][37]. In particular, we considered a general case of an obliquely incident plane wave on a metallic opal PC [36], and demonstrated an excellent agreement of the FDTD results with the results obtained by the multiple scattering formalism [38,39].…”
Section: Pc Emissivity Calculation Methodssupporting
confidence: 57%
See 1 more Smart Citation
“…In cases of poor convergence, special FDTD techniques, for example subpixel smoothing for interfaces or additional PML layers may be required. Convergence and accuracy of FDTD calculations based on EMTL have been demonstrated in our previous papers [33, [35][36][37]. In particular, we considered a general case of an obliquely incident plane wave on a metallic opal PC [36], and demonstrated an excellent agreement of the FDTD results with the results obtained by the multiple scattering formalism [38,39].…”
Section: Pc Emissivity Calculation Methodssupporting
confidence: 57%
“…Convergence and accuracy of FDTD calculations based on EMTL have been demonstrated in our previous papers [33, [35][36][37]. In particular, we considered a general case of an obliquely incident plane wave on a metallic opal PC [36], and demonstrated an excellent agreement of the FDTD results with the results obtained by the multiple scattering formalism [38,39]. Also, the opal PC case requires a special care as the spherical shape of the PC elements should be adequately represented on the rectangular FDTD grid.…”
Section: Pc Emissivity Calculation Methodsmentioning
confidence: 97%
“…The finite-difference time-domain (FDTD) method [1] is widely used in computational electrodynamics for light scattering from arbitrary shaped objects [1], transmission and reflection at various incident angles for planar layers of scatterers [1,2], and photonic band structure of infinite periodic structures [3,4].…”
mentioning
confidence: 99%
“…More flexible fitting (some of which is captured in the critical point model [5]), is enabled by additional terms proportional to −iω n in both numerators and denominators of (2). In the numerator, they describe direct polarization of the medium by time derivatives of the applied electric field.…”
mentioning
confidence: 99%
“…9) demonstrated that the same tendency is also observed outside of the applicability limits of the theory of the effective medium. To calculate the anti-reflective properties of textured surfaces for radiation incident at a certain angle, an iterative algorithm suggested in [15] was used. The results obtained demonstrate that all conclusions about optimal f(d), d, and Λ values remained valid.…”
Section: Introductionmentioning
confidence: 99%