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* Martin.Hachet@inria.fr AMI : Augmented Michelson Interferometer David Furióa, Martin Hachet*b, Jean-Paul Guilleta, Bruno Bousqueta, Stéphanie Fleckc, Patrick Reutera, Lionel Canionia aUniversité de Bordeaux, 351 cours de la Liberation, F – 33405 Talence, France bInria – Potioc, 200 av. De la vieille tour, F – 33405 Talence, France cUniversité de Lorraine – ESPE & PErSEUs (EA 7312) Île du Saulcy, CS 60228, F - 57045 Metz cedex 01, France ABSTRACT Experiments in optics are essential for learning and understanding physical phenomena. The problem with these experiments is that they are generally time consuming for both their construction and their maintenance, potentially dangerous through the use of laser sources, and often expensive due to high technology optical components. We propose to simulate such experiments by way of hybrid systems that exploit both spatial augmented reality and tangible interaction. In particular, we focus on one of the most popular optical experiments: the Michelson interferometer. In our approach, we target a highly interactive system where students are able to interact in real time with the Augmented Michelson Interferometer (AMI) to observe, test hypotheses and then to enhance their comprehension. Compared to a fully digital simulation, we are investigating an approach that benefits from both physical and virtual elements, and where the students experiment by manipulating 3D-printed physical replicas of optical components (e.g. lenses and mirrors). Our objective is twofold. First, we want to ensure that the students will learn with our simulator the same concepts and skills that they learn with traditional methods. Second, we hypothesis that such a system opens new opportunities to teach optics in a way that was not possible before, by manipulating concepts beyond the limits of observable physical phenomena. To reach this goal, we have built a complementary team composed of experts in the field of optics, human-computer interaction, computer graphics, sensors and actuators, and education science. Keywords: Education and training, Optics, Augmented Reality, Tangible interaction 1. INTRODUCTION Learning wave optics requires strong abstraction ability and scientific reasoning to understand wave properties and construct mental images and schemes. Students often do not recognize the critical role of reasoning, nor understand what constitutes an explanation in physics. It is the reason why teaching by telling is an ineffective mode of instruction for most students [1]. Also, experienced instructors know that there is a gap between what they teach and what is learned. Currently, many students do not easily understand theoretical physical models. These students are not able to develop a coherent framework for important optical concepts, despite having finished their introductory physics studies. Connections among concepts, formal representations, and the real world are often lacking after traditional instruction [1]. For this reason, wave optics courses are advantageously supported by experiments during lab work, offering the opportunity to observe the result of the optical effects. Thus, the students can observe phenomena such as interferences and diffraction patterns as well as polarization effects by the naked eyes. Many previous works in didactic of physics [2, 3] indicated that observations during learning processes let students draw inferences and therefore enhance understanding only if the students could find a relevant guidance directly in their learning environment. In optical lab work, students do not easily construct the causal relationship with the wave properties and their manipulations, even if they could observe the consequences of related phenomena. Generally, students stay in a ray optic conception due to a lack of visual evidences of the nature of waves [1]. Therefore, “misconceptions” are frequent. These misconceptions are coherent frameworks of ideas that persist in students’ minds and that are resistant to instruction [4, 5]. Moreover, manipulation errors often occur during lab works. For example, the phase shift between two interfering waves that exists in a Michelson interferometer clearly remains a complex phenomenon to understand. Consequently the link between the interference patterns and the adjustments of the interferometer is often not clearly established by the students. Moreover, once a Michelson interferometer is misaligned, significant time can be needed for the teacher to correctly realign it, which can slow down the sequence. Therefore, despite of very convincing experiments illustrating most of the optical effects, it appears that it is still difficult for most of the students to acquire deep understanding and good know-how in optics. In this context, we think that there is a real need to develop a new generation of learning environment specifically designed to enhance training in the field of optics and photonics. In this study, we proposed a new concept based on a hybrid optical bench that takes benefits from both the physical and the virtual worlds. This hybrid environment is mainly aimed at university students of optics. Such a hybrid setup presents not only the advantages of a real optical bench, including adjustment sensitivity, but it also presents the advantages of Augmented Reality (AR). AR is a technology that allows computer-generated virtual elements to be overlaid onto the real-world environment in real time [6, 7]. In other words, in AR environments both virtual and real objects can co-exist and interact simultaneously. It allows the users to see the physical world with virtual objects superimposed upon the physical world. Compared to fully virtual experiences, AR ones are closer to real experiences and complex spatial relationship can be easily visualized [8-10]. That way, we can provide the user extra information about what is happening. Numerous previous works have already shown the benefit of this technology in education (e.g.[11-19]) and the AR tools seem to be the best environments as feedback providers and simulators for numerous teachers (e.g. [20]). Compared to a full virtual simulator where the replica of the optical bench is displayed on a computer screen, our hybrid approach takes advantage from the requirements of a real physical setup. It has been shown that interacting with digitally augmented physical spaces benefit to investigation [21]. In particular, in the case of optics, the tuning of various physical elements (lenses, mirrors and so on) is essential. Because our hybrid environment will be close enough to a real optical bench, with similar mechanical adjustments (translation, rotation), the manipulation of the hybrid platform will be very close to what experimenters use to do in their daily activities. As a first demonstration of the concept, we decided to implement the emblematic Michelson interferometer. We thus built what we call the AMI* for Augmented Michelson Interferometer (* in French, ami means friend). Our motivation was to: - Provide a turn-key preset configuration for quick start. - Help the understanding and the know-how of the trainee by additional information. - Allow fast changes in the physical parameters to check their effect. - Allow operating complex and costly systems without maintenance cost. 2. AMI: DESCRIPTION AMI has been designed to reproduce a Michelson interferometer experiment, with the difference that neither true optical elements (e.g. glass plates and mirrors) nor true light source are used. Physical replicas equipped with electronic sensors replace the optical components. A numerical simulation computes the resulting interference pattern. This result is displayed in real-time on a screen by way of video projection. In addition, digital information is projected on top of the experimental board. This allows augmenting the working area with pedagogical content. Figure 1 illustrates the overall framework of AMI. Figure 1. Flowchart describing how AMI prototype works. Optical replicas The replicas that play the role of optical elements are physical elements without any optical component mounted on them, but equipped with electronic sensors, when needed. In AMI, we use such replicas to replace the two mirror holders (with sensors), the beam splitter (without sensor) and the moving lens (with sensor) at the output of the interferometer. One of the mirror holders is equipped with two rotating potentiometers aiming at modifying the (virtual) orientation of the mirror; the other mirror holder is equipped with a rotating potentiometer to modify its simulated position (distance to the screen). The replica of the lens is mounted on a linear potentiometer for adjusting the lens position in order to correctly observe either rings or linear fringes. The different elements of AMI are 3D printed. They mimic the real ones. Figure 2 illustrates the current sensors we use for replicating the Michelson interferometer. The sensors are connected to the numerical simulation by way of an Arduino board, which is responsible of getting the values from all of the sensors. This system formats the data obtained and then sends them to the computer via an USB connection. The optic simulation is using these data for calculating the corresponding results. Figure 2. Replica of the Michelson interferometer. Numerical simulation We use a numerical simulation based on physics models that are executed in real time on a computer. The values obtained from the potentiometers (position and orientation of the mirrors and position of the lens) modify the parameters of the simulation. For example, in order to calculate the interference pattern for monochromatic light at any point P on the screen, we apply the formula given in Equation 1, where I0 is the light intensity one could measure with only one single arm of the interferometer operating, the other one being blocked; λ is the wavelength; and
