A program for calculating photonic band structures and transmission coefficients of complex structures

Bell, P. M.; Pendry, J. B.; Moreno, L. Martín; Ward, Ashley J. W.

doi:10.1016/0010-4655(94)00131-k

Cited by 243 publications

(114 citation statements)

References 9 publications

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“…We have also checked the reciprocity and the conservation of energy for a simple grating. Another check has been performed in the case of a finite number of layers of dielectric cylinders by comparing our results with those obtained from the code written by Bell et al (1995). In all these cases the numerical results given by our method have been in an excellent agreement with the numerical results produced by the other methods.…”

Section: Numerical Calculationsmentioning

confidence: 60%

See 1 more Smart Citation

Ordered and Disordered Photonic Band Gap Materials

McPhedran¹,

Botten²,

Asatryan³

et al. 1999

Aust. J. Phys.

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We discuss a formulation and computer implementation of a new method that can be used to determine the electromagnetic properties of ordered and disordered dielectric and metallic cylinders, using periodic boundary conditions in one direction. We show results which exhibit strong parallels with the behaviour of electrons in disordered semiconductors, but also illustrate some characteristics which clearly differentiate between photonic and electronic behaviour. Among these are strong polarisation sensitivity and effects due to metallic absorption.

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Section: Numerical Calculationsmentioning

confidence: 60%

“…The random element is the refractive indices of the cylinders, which are uniformly distributed between 2 · 8 and 3 · 2. Note that the average refractive index 3 · 0 is sufficiently large to exhibit photonic band gaps for both E z and H z polarisations (Bell et al 1995;Sigalas et al . 1996;McPhedran et al .…”

Section: (3a) Disordered Dielectric Stacksmentioning

confidence: 99%

Ordered and Disordered Photonic Band Gap Materials

McPhedran¹,

Botten²,

Asatryan³

et al. 1999

Aust. J. Phys.

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“…Both cells compared have the same amount of absorbing material and total width. LHE was calculated in each case using a transfer matrix formalism 14 implemented in a MATLAB code, which allowed us to test a large number of structures in a reasonable time. To simplify, we neglect the vector nature of the radiation and consider just one possible direction of propagation, transforming our problem in a one dimensional ͑1D͒ scalar wave one.…”

Section: ͑3͒mentioning

confidence: 99%

Full spectrum enhancement of the light harvesting efficiency of dye sensitized solar cells by including colloidal photonic crystal multilayers

Mihi

López-Alcaraz

Míguez

2006

Applied Physics Letters

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Herein we report a theoretical analysis of the efficiency of dye sensitized solar cells in which colloidal crystals are introduced in different configurations. We find that piling up different lattice constant crystals leads to light harvesting enhancement in the whole dye absorption range. We provide the optimum structural features of such photonic crystal multilayer needed to achieve a photocurrent efficiency enhancement of around 60% with respect to standard dye sensitized solar cells. We demonstrate that this improvement is the result of the optical absorption amplification effect of slow photon resonant modes partially confined within the absorbing part of the cell by the mirror behavior of the colloidal superlattice. © 2006 American Institute of Physics. ͓DOI: 10.1063/1.2200746͔ Dye sensitized solar cells ͑DSSCs͒ constitute an interesting alternative to solid state semiconductor photovoltaic devices, mainly due to their low cost of production. 1,2 Briefly, a DSSC is made by a nanocrystalline titanium oxide layer doped with a ruthenium based dye supported on a conducting electrode and fully immersed in a redox electrolyte ͑typically an iodide solution͒. The whole system is sealed by a counterelectrode. The dye absorbs light in the visible range and injects the photogenerated electrons to the conduction band of the nanocrystalline titania, 3 being the photoelectrons generated transferred to the supporting conducting substrate. At the other end of the circuit, the electrolyte is reduced at the counterelectrode and oxidized back after transferring an electron to the dye.Even though current DSSC still shows lower efficiencies than the p-n junction solar cells, there are many parameters to be investigated yet in order to improve light to current conversion. DSSC photovoltage can be increased by using other metal oxides such as NbO 5 or SrTiO 3 . 4,5 Also higher photocurrents can be achieved by changing the sensitized dye, by combining cells with different dyes which absorb at different wavelength ranges or by means of introducing scattering structures that increase the matter-radiation interaction time, so the probability of photon absorption increases. 6,7 Our work focuses on this latter approach. A modification in the photon collection of the cell affects the photogenerated current as explained in what follows. The light harvesting efficiency ͑LHE͒ or absorptance is the fraction of light intensity absorbed by the dye in the DSSC:It depends on the extinction coefficient of the dye, its concentration, the thickness of the absorbing layer, and the time of flight of photons within that film. The incident photon to current conversion efficiency ͑IPCE͒ is proportional to the LHE and is given by the expressionwhere ⌽ is the quantum yield of charge injection, and is the charge collecting efficiency by the glass supported electrode. From this magnitude its possible to obtain the generated photocurrent density in short-circuit ͑J SC ͒ by using the equation ͑3͒where q is the electron charge, and F͑ ͒ is the incident phot...

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“…Numerical approaches of modeling EOT devices include the transfer matrix formalism [1,5,10,11], the Finite Difference Time Domain (FDTD) method [9,12], the Rigorous Coupled Wave Analysis (RCWA) [3,6,8,13], and the Exact Modal Analysis (EMA) [14]. Both the transfer matrix and FDTD methods solve Maxwell's equations directly using grids and produce accurate results.…”

Section: Introductionmentioning

confidence: 99%

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

Rahman

Majewski

Vasilev

2013

Optics Communications

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Under the sub-wavelength condition (w < λ/2), an analytical model of light transmission and reflection through 1D metallo-dielectric gratings of real metals has been developed. It has been shown that the transmission intensity associated with the Fabry-Perot (FP) resonance of a 1D metallo-dielectric grating of a real metal decreases with the increasing grating thickness and the dielectric constant of the ridge material. Further, it has also been demonstrated that the intensity of the FP resonance increases with the increasing slit width while it is independent of the grating period (P ) and the incidence angle (when P << λ).

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A program for calculating photonic band structures and transmission coefficients of complex structures

Cited by 243 publications

References 9 publications

Ordered and Disordered Photonic Band Gap Materials

Ordered and Disordered Photonic Band Gap Materials

Full spectrum enhancement of the light harvesting efficiency of dye sensitized solar cells by including colloidal photonic crystal multilayers

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

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