Application of the complex Poynting theorem to diffraction gratings

Jarem, John M.; Banerjee, Partha P.

doi:10.1364/josaa.16.001097

Cited by 11 publications

(7 citation statements)

References 20 publications

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“…Rigorous coupled‐wave analysis (RCWA) is often used as an exact solution for obtaining the optical response of a periodic nanophotonic structure [5–25]. In the 1980s, Moharam et al .…”

Section: Optical Design Methodsmentioning

confidence: 99%

High‐Efficiency Optical Filters Based on Nanophotonics

Kanamori

2021

IEEJ Transactions Elec Engng

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Nanophotonic structures are artificial optical substances composed of structures smaller than incident light wavelengths. For example, it can artificially create a unique refractive index that is not found in substances in the natural world. That is, by designing the shape of the nanophotonic structure, an optical filter device that exhibits an optical response on demand can be realized. Also, we can realize applied devices with useful functions that cannot be realized by substances existing in nature, such as antireflective surfaces with 0% reflectance, wavelength-selective filters with 100% reflectance at specific wavelengths, and filters that shift the resonant wavelength in response to changes in the ambient refractive index. There can be applications to highbrightness light-emitting elements, high-efficiency power generation elements, color filters for full-color high-resolution cameras, miniature spectroscopic systems, high-efficiency biosensors, and so on. In the future, the development of further applications with this technology is widely expected in the fields of information, energy and global environment, and medical care and welfare. This paper describes high-efficiency optical filters based on nanophotonic technologies.

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“…Rigorous coupled‐wave analysis (RCWA) is often used as an exact solution for obtaining the optical response of a periodic nanophotonic structure [5–25]. In the 1980s, Moharam et al .…”

Section: Optical Design Methodsmentioning

confidence: 99%

High‐Efficiency Optical Filters Based on Nanophotonics

Kanamori

2021

IEEJ Transactions Elec Engng

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“…If there is noticeable boundary scattering, then the amplitude of the re-scattered wave at the rear boundary is less than 2|E 00 | by the value ∆E 0 ≈ r|E 00 |/2 (see Eq. (11)). On the other hand, the rate of increasing rescattered wave amplitude along the x-axis is directly proportional to the scattered wave amplitude.…”

Section: Applicability Conditions For the Approximate Theorymentioning

confidence: 99%

“…Scattering of bulk and guided electromagnetic waves in periodic gratings has been extensively investigated theoretically and numerically by many different authors using approximate and rigorous methods of analysis [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The investigation has been carried out for thin and thick, uniform and non-uniform, isotropic and anisotropic, reflecting and transmitting gratings that are represented by strong or weak periodic modulation of structural parameters [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Very interesting physical effects and anomalies of scattering have been predicted and observed at extreme angles of scattering, i.e., when the scattered wave propagates parallel to the grating.…”

Section: Introductionmentioning

confidence: 99%

Rigorous analysis of extremely asymmetrical scattering of electromagnetic waves in slanted periodic gratings

Nieminen

Gramotnev

2001

Optics Communications

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Extremely asymmetrical scattering (EAS) is a new type of Bragg scattering in thick, slanted, periodic gratings. It is realised when the scattered wave propagates parallel to the front boundary of the grating. Its most important feature is the strong resonant increase in the scattered wave amplitude compared to the amplitude of the incident wave: the smaller the grating amplitude, the larger the amplitude of the scattered wave. In this paper, rigorous numerical analysis of EAS is carried out by means of the enhanced T-matrix algorithm. This includes investigation of harmonic generation inside and outside the grating, unusually strong edge effects, fast oscillations of the incident wave amplitude in the grating, etc. Comparison with the previously developed approximate theory is carried out. In particular, it is demonstrated that the applicability conditions for the two-wave approximation in the case of EAS are noticeably more restrictive than those for the conventional Bragg scattering. At the same time, it is shown that the approximate theory is usually highly accurate in terms of description of EAS in the most interesting cases of scattering with strong resonant increase of the scattered wave amplitude. Physical explanation of the predicted effects is presented.

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“…Budzinski et al (1991) gave the local dissipation density in the metal of a sinusoidal grating profile inside and outside an anomaly in explicit form. Jarem & Banerjee (1999) evaluated the general power balance for an anisotropic non-Hermitian one-periodic grating for the TM polarization using the rigorous coupled-wave analysis. Botten et al (2000) presented the energy conservation properties for wave propagation through stacked gratings comprising metallic and dielectric cylinders using the Green's function approach based on lattice sums to obtain the scattering matrices of each layer.…”

Section: Introductionmentioning

confidence: 99%

Absorption and scattering by structured interfaces in X-rays

Goray¹

2021

J Synchrotron Rad

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Promising achievements of resonance inelastic X-ray scattering and other spectroscopy studies in the range from hard X-ray to extreme ultraviolet require the development of exact tools for modeling energy characteristics of state-of-the-art optical instruments for bright coherent X-ray sources, space science, and plasma and superconductor physics. Accurate computations of the absorption and scattering intensity by structured interfaces in short wavelength ranges, i.e. realistic gratings, zone plates and mirrors, including multilayer-coated, are not widely explored by the existing methods and codes, due to some limitations connected, primarily, with solving difficult problems at very small wavelength-to-period (or to correlation length) ratios and accounting for random roughness statistics. In this work, absorption integrals and scattering factors are derived from a rigorous solution of the vector Helmholtz equations based on the boundary integral equations and the Monte Carlo method. Then, using explicit formulae (in quadratures), the author finds the absorption and scattering intensity of one- and bi-periodic gratings and mirrors, which may have random roughnesses. Examples of space and spectral power distributions for gratings and mirrors working in X-rays are compared with those derived using the usual indirect approach and well known approximations.

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Application of the complex Poynting theorem to diffraction gratings

Cited by 11 publications

References 20 publications

High‐Efficiency Optical Filters Based on Nanophotonics

High‐Efficiency Optical Filters Based on Nanophotonics

Rigorous analysis of extremely asymmetrical scattering of electromagnetic waves in slanted periodic gratings

Absorption and scattering by structured interfaces in X-rays

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