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Recent discoveries have shown that optical projections were used in the creation of European paintings as early as 1425, well over a century before the time of Galileo (Hockney, Secret knowledge: rediscovering the lost techniques of the old masters, 2001). These discoveries provide an explanation for the sudden transformation to realism that long had been noted by art historians but whose cause had not been previously understood (“” Schneider, Norbert (1999) The Art of the Portrait. Taschen). As shown below, these discoveries demonstrate that optical projections were incorporated in features within paintings of artists as influential as Jan van Eyck who worked at the cusp between the Middle Ages and the Renaissance. As art historian Laurie Fendrich noted (Fendrich, Chron High Educ 53(36):B20, 2002), this work “ Here we describe in some detail some of the optical evidence exhibited within four paintings by four major artists during a period of approximately 100 years between c1425 and 1532: Jan van Eyck, Lorenzo Lotto, Hans Holbein the Younger, and Robert Campin.

The optical part of the eye is simple but well adapted to serve our sense of vision. In this chapter, I will revise our current understanding of the optical properties of the human eye and how this may limit vision. A description of the eye’s anatomy, the image forming characteristics at the center, and the periphery of the retina are presented.

Optics has, since ancient times, being used as aid for the examination of human patients and in some therapeutic treatments. Many of the optic medical instruments in use today were developed in the nineteenth century and, with the advent of optical fibers and laser light sources in the mid twentieth century, a new generation of medical devices, instruments, and techniques have been developed that have helped modernize medicine and perform task unimaginable only a few decades ago. This chapter illustrates—through several optical instrument and application examples—the uses, benefits, and future prospects that optics brings as an enabling technology to the medicine and the overall healthcare industry.

This chapter presents a brief introduction to atom optics, assuming only a basic knowledge of elementary physics ideas such as conservation of energy and conservation of momentum, and making only limited use of elementary algebra. Starting from a historical perspective we introduce the idea of wave-particle duality, a fundamental tenet of quantum mechanics that teaches us that atoms, just like light, behave sometimes as waves, and sometimes as particles. It is this profound but counter-intuitive property that allows one to do with atoms much of what is familiar from conventional optics. However, because in contrast to photons atoms have a mass, there are also fundamental differences between the two that have important consequences. In particular this property opens up a number of applications that are ill-suited for conventional optical methods. After explaining why it is particularly advantageous to work at temperatures close to absolute zero to benefit most readily from the wave nature of atoms we discuss several of these applications, concentrating primarily on the promise of atom microscopes and atom interferometers in addressing fundamental and extraordinarily challenging questions at the frontier of current physics knowledge.

Slow light has received growing interest since 1999 when the propagation velocity of light was reduced in an experiment to 17 m/s, i.e. almost 20 million times slower than in vacuum. Two years later light pulses were stopped, or more specifically stored in an atomic medium and subsequently released after some time. This provided the basis for important applications in photon-based quantum information technology. The present chapter explains what slow light is and what it is good for, how to understand the physics of it and how one can practically make light go so slow. To answer these questions, the chapter uses simple pictures, on the one hand, and supplements them with a little bit of details, on the other hand, for those who want to go slightly deeper into the field. The chapter also discusses more recent generalizations of slow light, such as stationary and spinor slow light which are interesting model system and can be used to understand more complex quantum systems.

From the point of view of classical theory and our everyday experience, quantum phenomena are surprising and the concepts of quantum mechanics are incomprehensible. Since the beginning of quantum theory scientists questioned its very basic concepts, such as locality, reality, and complementarity, and proposed , or thought experiments, to probe its foundations. In the light of new optical technology we have been able to realize some of these experiments. This chapter will focus on three of them: (1) EPR-Bohm-Bell correlation and Bell’s inequality; (2) Scully’s quantum eraser; (3) Popper’s experiment. The results of these experiments are very interesting. On one hand, the experimental observations confirm the predictions of EPR-Bell, Scully, and Popper. On the other hand, the calculations from quantum theory perfectly agree with the experimental data. Moreover, apparently, the experimental observations do not lead to any “violations” of the principles of quantum mechanics. One important conclusion we may draw from these optical tests is that all the observations are the results of multi-photon interference: a group of photons interferes with the group itself at distance. The nonlocal multi-photon interference phenomena may never be understood in classical theory, however, it is legitimate in quantum mechanics. The superposition principle of quantum theory supports the superposition of multi-photon amplitudes, whether the photons are entangled or randomly grouped and despite the distances between these individual photodetection events.

This Chapter presents a review of the quantum mechanical properties of spatially structured light fields, specifically those fields carrying orbital angular momentum (OAM). This review is concerned both with the conceptual understanding of the quantum features of these light fields and with the use of these features for applications. We describe how to produce spatially entangled light fields by means of the nonlinear optical process of parametric downconversion. We ask and provide a tentative answer to the question of how much information can be encoded into a single photon. As an example, we review a recent experiment that demonstrated the ability to discriminate among four target objects using only one photon for illumination. We also present a description of the concept of the OAM of light, and we describe means to generate and detect OAM. We then present a brief survey of some recent studies of the fundamental quantum properties of structured light beams. Much of this work is aimed at studying the nature of entanglement for the complementary variables of angular position and OAM. Finally, as a realworld application, we describe a secure communication system based on quantum key distribution (QKD). This key distribution system makes use of encoding information in the OAM modes of light and hence is able to transmit more than one bit of information per photon.

The secure communication of information plays an ever increasing role in our society today. Classical methods of encryption inherently rely on the difficulty of solving a problem such as finding prime factors of large numbers and can, in principle, be cracked by a fast enough machine. The burgeoning field of quantum communication relies on the fundamental laws of physics to offer unconditional information security. Here we introduce the key concepts of quantum superposition and entanglement as well as the no-cloning theorem that form the basis of this field. Then, we review basic quantum communication schemes with single and entangled photons and discuss recent experimental progress in ground and space-based quantum communication. Finally, we discuss the emerging field of high-dimensional quantum communication, which promises increased data rates and higher levels of security than ever before. We discuss recent experiments that use the orbital angular momentum of photons for sharing large amounts of information in a secure fashion.

The wave-particle dualism, that is the wave nature of particles and the particle nature of light together with the uncertainty relation of Werner Heisenberg and the principle of complementarity formulated by Niels Bohr represent pillars of quantum theory. We provide an introduction into these fascinating yet strange aspects of the microscopic world and summarize key experiments confirming these concepts so alien to our daily life.