Providing security guarantees for wireless communication is critically important for today's applications. While previous work in this area has concentrated on radio frequency (RF) channels, providing security guarantees for RF channels is inherently difficult because they are prone to rapid variations due small scale fading. Wireless optical communication, on the other hand, is inherently more secure than RF communication due to the intrinsic aspects of the signal propagation in the optical and near-optical frequency range. In this paper, secure communication over wireless optical links is examined by studying the secrecy capacity of a direct detection system. For the degraded Poisson wiretap channel, a closed-form expression of the secrecy capacity is given. A complete characterization of the general rate-equivocation region is also presented. For achievability, an optimal code is explicitly constructed by using the structured code designed by Wyner for the Poisson channel. The converse is proved in two different ways:the first method relies only on simple properties of the conditional expectation and basic information theoretical inequalities, whereas the second method hinges on the recent link established between minimum mean square estimation and mutual information in Poisson channels. .). Part of this paper will be presented in the 2010 IEEE International Symposium on Information Theory (ISIT 2010). than the eavesdropper's. For RF channels, however, this is difficult to guarantee in practice due to the possibility of multipath fading. Indeed, even if the legitimate receiver is closer to the transmitter than the eavesdropper is, the legitimate receiver may still have a weaker channel due to fading. Moreover, since the fading state is a sensitive function of the position of the receivers, it is difficult to predict the degree of fading experienced by the legitimate receiver and the eavesdropper given imperfect information about their locations.One possible solution to this problem is to use optical or near-optical frequencies instead of RF. For optical wireless systems, the detector is usually multiple orders of magnitude larger than the wavelength of the transmitted beam, which provides natural immunity against multipath fading via spatial diversity [10]. This immunity makes predictions about the quality of the legitimate receiver's and the eavesdropper's signal based on their position more accurate. In fact, with the multipath problem gone, the only major channel impairment remaining is the pathloss which can be safely assumed to be higher for the eavesdropper if the legitimate receiver can guarantee that he is closer to the transmitter.Another advantage of optical communications over RF is that the transmitted signal is highly directional, making interception by a malevolent third party more difficult. This should be contrasted with the relatively-omnidirectional nature of RF transmissions, for which the signal is broadcasted over a wide angle. Yet another advantage of wireless optical communication is the...