Lightguide with Stair Micromirror Structure for Augmented Reality Glasses Jaeyeol Ryu* , **, Nikolay Muravev*, Dmitry Piskunov*, Mikhail Popov*, Natalia Anikanova*, and Myongjo Choi*** *Samsung R&D Institute Rus, Samsung Electronics, Moscow, Russian Federation **Moscow Institute of Physics and Technology, Dolgoprudny, Russian Federation ***DMC R&D Center, Samsung Electronics, Republic of Korea Abstract The paper presents a lightguide system with stair micromirror structure for see-though glasses. We use stair micromirror structure to out-couple virtual image out of the lightguide. It allows extending eye motion box, where whole virtual image can be seen by a user. The design principle is described, as well as main achieved parameters. Author Keywords stair micromirror structure; lightguide; augmented reality; wearable device; see-through 1. Relevance Currently, it is possible to use augmented reality glasses in different commercial applications. For wearable device it is important to decrease size, weight and cost of the product, and to increase field of view (FoV) and image resolution. However, ensure of all these parameters leads to contradictory requirements for optical system due to the fact that improving one characteristic leads to a deterioration of another. One of the most common approaches for AR devices is a device based on lightguide. Lightguides with single sloped surface, parallel sloped surface array, diffractive optical element (DOE) or a holographic optical element (HOE) transmit the virtual image from a projection system into the human eye, and they have acceptable transparency for user [1-3]. However, these types of lightguide have the following significant problems: EMB of the lightguide with single sloped surface is proportional to the thickness of the lightguide The use of the parallel sloped surface array leads to a low manufacturability and high cost DOE and HOE cause large chromatic aberration 2. Originality and Research We propose design of the lightguide with stair micromirror structure (SMMS) for out-coupling light rays to a user’s eye, which makes it possible to significantly extend EMB without increasing the thickness of the lightguide. SMMS arbitrary consists of the following two surfaces (see. Fig.3): Sloped surfaces (marked b), which are disposed at some angle to the main lightguide surface Horizontal surfaces (marked a), which are parallel to the main lightguide surface Sloped surfaces reflect rays, propagating in the lightguide, toward the viewer. And horizontal surfaces allow rays to spread further along the lightguide. Such a structure allows extending EMB without increasing the lightguide thickness. In contrast to the above analogues listed above, the suggested design can be applied for mass-production. The simplest way to in-couple and out-couple the light from the lightguide is to use single sloped surface (see. Fig.1). Light in- couples into the lightguide at an angle 0 on its substrate, falls and reflects at an angle 1 from the in-coupling element (single sloped surface) disposed at an angle to substrate of the lightguide. The reflected rays fall on the substrate of the lightguide at an angle 2 which is larger than angle of total internal reflection (TIR) for the lightguide material. Hence, rays (a) propagate along the lightguide, (b) reach an out- coupling sloped surface disposed at an angle  to the substrate of the lightguide, and (c) reflect on the surface of the out-coupling element at an angle 3 . After the reflection from the out-coupling element the light incident on the substrate of the lightguide at an angle 4 , which is smaller than angle of TIR, therefore it exits from the lightguide in the direction of the eye. We represent by the following Equations (1) – (6): In-coupling part of lightguide: 0 1 (1) 1 2 (2) TIR 2 (3) Out-coupling part of lightguide: 2 3 2 (4) 3 4 (5) ) tan( T d coupling out (6) Figure 1. In-coupling and out-coupling of ray in the lightguide with single sloped surfaces As can be seen from Equation (6), the length of the out-coupling element is proportional to the thickness of the lightguide. Hence increasing of the FoV or EMB or eye relief (distance from the lightguide to the EMB) d eye or all the parameters at ones, leads to increasing of the out-coupling element length d out-coupling (see. Fig.2). 2 tan 2 FoV d EMB d eye coupling out (7) 51-5 / J. Ryu SID 2017 DIGEST 771 ISSN 0097-996X/17/4702-0771-$1.00 © 2017 SID