We report experimental observation of a full photonic band gap in a two-dimensional Penrose lattice made of dielectric rods. Tightly confined defect modes having high quality factors were observed. Absence of the translational symmetry in Penrose lattice was used to change the defect frequency within the stop band. We also achieved the guiding and bending of electromagnetic waves through a row of missing rods. Propagation of photons along highly localized coupled-cavity modes was experimentally demonstrated and analyzed within the tight-binding approximation. DOI: 10.1103/PhysRevB.63.161104 PACS number͑s͒: 42.70.Qs, 42.60.Da, 61.44.Br, 71.15.Ap Photonic crystals are artificial periodic structures in which the refractive index modulation gives rise to stop bands for electromagnetic waves ͑EM͒ within a certain frequency range in all directions. 1,2 The existence of photonic band gap 3 and localized modes 4 due to the Mie resonances 5 and the Bragg scattering in these structures is of fundamental importance. Recently it was recognized that the photonic gaps can exist in two-dimensional ͑2D͒ quasicrystals. [6][7][8][9] Defect characteristics in the same structures were also investigated theoretically 10 and experimentally. 11 A quasiperiodic system is characterized by a lack of longrange periodic translational order. But the quasiperiodic system has long-range band orientational order, so that it can be considered as an intermediate between periodic and random systems. 12-14 Previously, one-dimensional versions of these structures, the Fibonacci lattices, were investigated. Existence of photonic stop bands 15 and localization of light waves 16 in these one-dimensional photonic quasicrystals were reported. The Penrose tiles 17 are composed of fat and skinny rhombic unit cells and fill the 2D plane nonperiodically as illustrated in Fig. 1. In electronic systems, localization phenomena in the 2D Penrose lattice was widely studied. 18,19 Moreover, spectral gaps and localization were observed in 2D acoustical Penrose crystals. 20,21 Recently, Krauss et al. demonstrated the diffraction pattern from a grating based on Penrose tiles. 22 In this paper, we report on observation of the photonic band-gap effect in a 2D Penrose quasicrystal consisting of dielectric rods. Defect characteristics of various inequivalent sites of the crystal were investigated. It is observed that the EM waves can be guided and bended through the vacancy of removed rods along a line. We also measured transmission spectrum and dispersion relation of an array of coupled defects, and analyzed the experimental results within the classical wave analog of tight-binding approximation in solidstate physics. 23 The 2D Penrose lattice was constructed by placing square shaped alumina rods, having refractive index 3.1 at the microwave frequencies and dimensions 0.32 cmϫ0.32 cm ϫ15.25 cm, at each vertice of the skinny and fat rhombic cells ͑Fig. 1͒. The edge of each rhombus is aϭ1.2 cm. The experimental setup consists of a HP 8510C network analyzer and micr...