Convergence of the coupled-wave method for metallic lamellar diffraction gratings

Li, Lifeng; Haggans, Charles W.

doi:10.1364/josaa.10.001184

Cited by 174 publications

(77 citation statements)

References 15 publications

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“…In order to achieve the dispersive curves of PCs, many numerical methods can be used [39][40][41]. Among those methods, PWE method is the most popular one to obtain the band structures, although there are many shortcomings, such as convergence problem and large number of plane waves [42,43]. Recently, the band structures for the PCs containing the Drude-type materials, such as plasma [44] and metal [45], can be computed successfully by a modified PWE method, which can compute the general nonlinear eigenvalue equation by a standard linearization technique.…”

Section: Theoretical Model and Numerical Methodsmentioning

confidence: 99%

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Zhang¹,

Liu²,

Li³

2014

PIER

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Abstract-In this paper, the dispersive properties and switching state of three-dimensional (3D) photonic crystals (PCs) with diamond lattices, which are composed of the core isotropic dielectric spheres with surrounded by the epsilon-negative (ENG) materials shells inserted in the isotropic dielectric background (air), are theoretically investigated in detail based on a modified plane wave expansion method. The wavelength division multiplexer can be realized easily by tuning the switching state of such PCs. The equations for computing band structures for such 3D PCs are presented. Our analysis shows that the proposed double-shell structures can obtain the complete photonic band gaps (PBGs) which can be used to realize optical switching by manipulating the radius of core dielectric sphere, the relative dielectric constant of background, the dielectric constant of ENG materials and the electronic plasma frequency, respectively. However, the thickness of the ENG materials shell cannot change the switching state as the radius of core dielectric sphere is certain. Numerical simulations also show that a flatband region, and the stop band gaps (SBGs) in (1 0 0) and (1 1 1) directions which are above the flatband region can be achieved. The SBGs in (1 0 0) and (1 1 1) directions can also be tuned by the parameters as mentioned above. There also exists a threshold value for the thickness of ENG material shell, which can make the band structures for the 3D PCs with double-shell structures similar to those obtained from the same structure containing the pure ENG materials spheres. In this case, the inserted core sphere will not affect the band structures. It means that we can achieve the PBGs by replacing the pure ENG materials spheres by such double-shell structures to make fabricate easily and save the material in the realization. It is also noticed that the flatband region is determined by the existence of surface-plasmon modes, and the upper edge of flatband region does not depend on the topology of lattice. Such presented 3D PCs with double-shell structures offer a novel way to realize the wavelength division multiplexers.

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Section: Theoretical Model and Numerical Methodsmentioning

confidence: 99%

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Zhang¹,

Liu²,

Li³

2014

PIER

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“…7(a)). The numerical calculations using rigorous coupled-wave analysis [38,39] and a finite-difference time-domain (FDTD) method have presented interesting LSPR sensing characteristics of 1D nanogratings built on the flat surface. Byun et al showed that the enhancement enabled by the excitation of LSP modes in gold nanogratings, offers improved performance in sensitivity by more than an order of magnitude compared with a conventional SPR configuration [40].…”

Section: Periodic Nanostructure-based Lspr Biosensorsmentioning

confidence: 99%

Development of Nanostructured Plasmonic Substrates for Enhanced Optical Biosensing

Byun¹

2010

Journal of the Optical Society of Korea

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Plasmonic-based biosensing technologies have been successfully commercialized and applied for monitoring various biomolecular interactions occurring at a sensor surface. In particular, the recent advances in nanofabrication methods and nanoparticle syntheses provide a new route to overcome the limitations of a conventional surface plasmon resonance biosensor, such as detection limit, sensitivity, selectivity, and throughput. In this paper, optical and physical properties of plasmonic nanostructures and their contributions to a realization of enhanced optical detection platforms are reviewed. Following vast surveys of the exploitation of metallic nanostructures supporting localized field enhancement, we will propose an outlook for future directions associated with a development of new types of plasmonic sensing substrates.

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“…In order to check the performance of the PBS grating structures constrained by Eqs. (3) and (4), another well-developed and widely used tool for gratings design, RCWA, was adopted [16,17]. Figure 3(a) shows the calculated efficiencies (the zeroth order for TM-waves and the minus-first order for TE-waves) of the devised PBS gratings.…”

Section: The First Polarizing Split Waymentioning

confidence: 99%

Design of rectangular-groove fused-silica gratings as polarizing beam splitters

Zheng

Sun

et al. 2010

Opt. Express

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Abstract:The application of rectangular-groove fused-silica gratings as polarizing beam splitters (PBSs) under Littrow incidence is investigated. Based on the simple modal method, two different cases of PBS gratings are designed. The achieved solutions, which are independent on the incident wavelength, are verified by the rigorous coupled-wave analysis and expressed in several polynomials instead of listing one or two numerical solutions. More importantly, on the basis of the designed PBS gratings, a porous fused silica antireflective film is introduced to improve their performances. Theoretical results indicate that such modified rectangulargroove PBS gratings exhibit higher diffraction efficiencies (over 0.99) and larger spectral bandwidths.

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Convergence of the coupled-wave method for metallic lamellar diffraction gratings

Cited by 174 publications

References 15 publications

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Development of Nanostructured Plasmonic Substrates for Enhanced Optical Biosensing

Design of rectangular-groove fused-silica gratings as polarizing beam splitters

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