Rigorous coupled-wave analysis of planar-grating diffraction

Moharam, M. G.; Gaylord, Thomas K.

doi:10.1364/josa.71.000811

Cited by 2,058 publications

(1,070 citation statements)

References 16 publications

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“…In this region, the scalar and paraxial approximations no longer hold and one has to use a rigorous diffraction theory to describe properly the interaction of a light wave with such a structure. Consequently we will use a grating theory [11] to predict the smallest size of a real object that can generate a singularity in the far-field without any approximation. Such a grating theory can be used for the modelling of single objects by choosing a sufficiently large period in the calculation, which is additionally not an integer multiple of the period.…”

Section: Scalar Approximationmentioning

confidence: 99%

“…For the determination of the distance between the phase singularities, we have calculated first the complex field distribution directly behind the trench for each width using the rigorous coupled wave analysis (RCWA) [11]. RCWA is a grating theory that can be applied to the description of single objects by choosing a period much larger than the wavelength and not an integer multiple of the wavelength.…”

Section: Rigorous Treatmentmentioning

confidence: 99%

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Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Rockstuhl

Salt

Herzig

2004

J. Opt. A: Pure Appl. Opt.

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Phase singularities appear in the diffracted far-field of an optical micro-structure if the object is of a sufficient lateral size to induce an appropriate phase delay. We present results that determine the critical dimension of a single phase bar for the generation of dislocations in the far-field. Using scalar theory, an analytical equality is derived that must be met by the structure. Because the size of the object is comparable to the wavelength, rigorous diffraction theory is used to find this feature size for a true object. Once the dislocations appear, their position is related strongly to the geometry of the object. We show theoretically and experimentally by using an interference microscope that, for a single phase bar, the distance between pairwise generated dislocations depends, to a good approximation, linearly on the width of the structure.

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Section: Scalar Approximationmentioning

confidence: 99%

Section: Rigorous Treatmentmentioning

confidence: 99%

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Rockstuhl

Salt

Herzig

2004

J. Opt. A: Pure Appl. Opt.

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“…The electromagnetic field profile of the SP structure was modelled using both a finite integration technique (CST Microwave Studio, CST Studio Suite (www.cst.com)) and a rigorous coupled-wave analysis 19,20 . The refractive index of the material (n eff ) was taken to be the effective index of the first order resonance of SP modes (~λ 1,0 /p) and the Drude model for the gold dielectric function at frequencies of interest is described by a plasma frequency ω p = 9.02 eV and a scattering frequency ω c = 0.027 eV (refs 21, 22).…”

Section: Resultsmentioning

confidence: 99%

A monolithically integrated plasmonic infrared quantum dot camera

et al. 2011

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In the past few years, there has been increasing interest in surface plasmon-polaritons, as a result of the strong near-field enhancement of the electric fields at a metal-dielectric interface. Here we show the first demonstration of a monolithically integrated plasmonic focal plane array (FPA) in the mid-infrared region, using a metal with a two-dimensional hole array on top of an intersubband quantum-dots-in-a-well (DWELL) heterostructure FPA coupled to a read-out integrated circuit. Excellent infrared imagery was obtained with over a 160% increase in the ratio of the signal voltage (V s ) to the noise voltage (V n ) of the DWELL camera at the resonant wavelength of λ = 6.1 µm. This demonstration paves the way for the development of a new generation of pixel-level spectropolarimetric imagers, which will enable bio-inspired (for example, colour vision) infrared sensors with enhanced detectivity (D*) or higher operating temperatures.

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“…To simulate the electromagnetic properties of such grating, we employ the rigorous coupled wave analysis (RCWA) originally presented by Moharam et al [20,21].…”

Section: Formulationmentioning

confidence: 99%

Characterization and Investigation of Composite Resistive Grating

Chin¹,

Jou²

2013

PIER

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Abstract-A novel composite resistive grating is presented. It is formed by combining two complementary resistive patterns. The problem of plane wave scattering by a two-dimensional resistive grating is considered. The formulation involves the concept of Fourier series expansion, which is manipulated to deal with the resistive boundary condition. The advantage of the formulation comparing with method of moments is that it can solve grating having arbitrary admittance distribution without doing reformulation process. Both conventional and composite resistive gratings are numerically investigated and characterized. Additionally, the equivalent circuit models of one-dimensional resistive gratings are acquired for T E and T M polarizations. Finally, the design of multilayered Jaumann absorbers incorporating conventional or composite resistive gratings are taken as numerical examples, where the accuracy of equivalent circuit models are verified. The proposed composite grating can increase the originally unavoidable small gap width from 0.1 mm to 0.4 mm in the Jaumann absorber design, which is proved to possess more design flexibility and higher tolerance to fabrication error than conventional one.

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Rigorous coupled-wave analysis of planar-grating diffraction

Cited by 2,058 publications

References 16 publications

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

A monolithically integrated plasmonic infrared quantum dot camera

Characterization and Investigation of Composite Resistive Grating

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