Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods

Ohtaka, K.; Ueta, Tsuyoshi; Amemiya, Katsuki

doi:10.1103/physrevb.57.2550

Cited by 81 publications

(55 citation statements)

References 43 publications

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“…For more detailed analysis of the spatial distribution of electric field, we use another algorithm based on the expansion of electromagnetic field into cylinder functions [11,[21][22][23]. If an incident electromagnetic wave is polarized with electric field E z parallel to cylinders (this polarization is considered throughout this Paper) then the intensity of electric field scattered at a cylinder centered in (xy) = (0, 0) can be expressed as…”

Section: Structure and Methodsmentioning

confidence: 99%

Fano resonances and band structure of two-dimensional photonic structures

Markoš

2015

Phys. Rev. A

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We show that the frequency spectrum of two dimensional photonic crystals is strongly influenced by Fano resonances which can be excited already in the linear array of dielectric cylinders. To support this claim, we calculate the transmission of electromagnetic wave through linear array of dielectric cylinders and show that frequencies of observed Fano resonances coincides with position of narrow frequency bands found in the spectra of corresponding two-dimensional photonic crystals. Split of frequency band or overlap of two bands, observed in the band structure of photonic structures are also associated with Fano resonances.

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Section: Structure and Methodsmentioning

confidence: 99%

Fano resonances and band structure of two-dimensional photonic structures

Markoš

2015

Phys. Rev. A

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“…The numerical calculation is performed by a twodimensional bulk and layer-by-layer Korringa-KohnRostoker techniques [10]. Figure 2 presents the transmission, reflection and absorption spectra, respectively, T (ω), R(ω) and A(ω) = 1 − R(ω) − T (ω), for a 8-layer-thick superconducting PC calculated for different values of parameter α.…”

Section: Problem Definition and Methods Of Calculationmentioning

confidence: 99%

Low-frequency spectroscopy of superconducting photonic crystals

Poddubny

Ivchenko

Lozovik

2008

Solid State Communications

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Transmission, reflection and absorption of electromagnetic radiation and photon dispersion law for 2D photonic crystals with superconducting elements are studied. The calculation of optical properties of photonic crystals is studied by layer-by-layer Korringa-Kohn-Rostoker techniques. The results of numerical calculations performed for an array of superconducting cylinders have been understood in terms of a simple analytical model. The controlling of optical properties of superconducting photonic crystal by temperature and magnetic field is discussed. The variation of superconducting component density with temperature leads, particularly, to significant reduction of the transmission peaks and even to a nonmonotonous behavior of some absorbance peaks.

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“…Although the vector KKR for the periodic system of cylindrical rods can perform the numerical computation most in a short time (Ohtaka et al, 1998), in this research, the periodic fast multipole method with higher flexibility (periodic FMM) is employed. In general, when the Maxwell equations are numerically solved in a large-scale system, the fast multipole method, which is the boundary element method to which multipole expansion is applied, is well used, where, in the boundary element method, the differential equations, i.e., the Maxwell equations, are transformed into an integral equation by means of a tensor Green function.…”

Section: Numerical Methods and Numerical Modelmentioning

confidence: 99%

Photonic-Crystal Like Approach to Structural Color of the Earthworm Epidermis

Ueta¹,

Otani²,

Nishimura³

2014

Forma

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The epidermis of an earthworm has a log-pile structure of fibers, and exhibits a structural color. The structure is considered as a photonic crystal. Optical properties of the epidermis of an earthworm have been investigated numerically by means of the analogy of the photonic crystal. The numerical method employed here is the periodic fast multipole method. The structural color is reproduced with the RGB color from the reflection spectrum. The reflection spectrum and the reproduced color are compared with those by a multilayer model and it is confirmed that the treatment as a photonic crystal is important.

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Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods

Cited by 81 publications

References 43 publications

Fano resonances and band structure of two-dimensional photonic structures

Fano resonances and band structure of two-dimensional photonic structures

Low-frequency spectroscopy of superconducting photonic crystals

Photonic-Crystal Like Approach to Structural Color of the Earthworm Epidermis

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