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(Color) (a) Optical transmission spectrum of a Penrose array with rhombus edge and hole diameter . The transmitted intensity is normalized to the incident one . The inset is a scanning electron microscopy image of the array milled through a thick Ag film. (b) Fourier transform of a whole Penrose tile. Color circles correspond to the norms of the reciprocal vectors defined in the text, from red to violet with decreasing basic length . Green and blue circles correspond, respectively, to and modes. The dotted gray circle is determined from the linear combination .
Maxima dispersion of modes (open circles) and (open triangles) as a function of . The modes are excited on the air-metal interface of a Penrose tile with kept constant. The solid lines give the Bragg positions for these modes. Filled circles and triangles correspond to the same modes excited on the glass-metal interface.
FWHM and normalized transmitted intensities , as a function of the number of holes milled through the metal film, of index matched resonance of a Penrose tile —filled triangles—and lowest energy resonance of the corresponding square array—open squares. The dashed line in the FWHM frame is a fit.
(Color) Substructures extracted from the same Penrose tile ( and ), taking a given origin for quadrants (a) and (c) and a different origin for quadrants (b) and (d). The Fourier transform of each structure is calculated and shown on its right, with and mode positions indicated by their corresponding Bragg circle. Experimental optical spectra are also displayed. The saturated spectrum of a large Penrose array (long dashed) is repeated on each spectrum.
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