The coverage probability of a user in a mmwave system depends on the availability of line-of-sight paths or reflected paths from any base station. Many prior works modelled blockages using random shape theory and analyzed the SIR distribution with and without interference. While, it is intuitive that the reflected paths do not significantly contribute to the coverage (because of longer path lengths), there are no works which provide a model and study the coverage with reflections. In this paper, we model and analyze the impact of reflectors using stochastic geometry. We observe that the reflectors have very little impact on the coverage probability. I. INTRODUCTIONCurrent cellular systems predominantly operate in the 1-6 GHz range of spectrum. In these frequencies, radio signals can propagate around an object, and it supports radio communication when a mobile device is blocked or shadowed by an obstruction. The next generation of wireless standards are looking at higher operating frequencies, mainly due to spectrum availability. Millimeter wave (mmWave) spectrum is the range of frequencies from 28-90 GHz, and is being envisioned to augment the existing frequencies in the 5G standard [1]. Measurements have reaffirmed the feasibility of mmWave in the urban environment [2] and measurements for indoor communication at mmWave frequencies show that it holds promise with indoor stations [3]. Diffraction is a powerful propagation mechanism in today's 3G and 4G cellular systems but becomes very lossy at mmWave frequencies due to the small wavelengths of these bands. However, scattering and reflection become dominant at mmWave frequencies [1]. Also, mmWave communication has been shown to be more sensitive to propagation loss than current modes of communication [4].As has been shown in earlier works [5], [6], first order reflections, i.e., paths from one point to another using one reflector, and second order reflections, i.e., paths from one point to another using two reflector, are important features at millimeter wave frequencies, especially by metallic objects. A later work [7] finds that well-known lossy objects such as human body and concrete are good reflectors at mmWave frequencies, enabling the receiver to capture secondary reflections for non-line-of-sight communication. Many other common objects have been shown in these works as having high reflection coefficients, which makes them a useful component of signal processing. Measurements for mmWave have revealed that

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