Abstract: An optical fiber cable assembly for use in a fluid environment includes an elongated optical fiber cable having a negative buoyancy. A first supplemental filament has a positive buoyancy and is connected to the elongated optical fiber cable to form a composite cable assembly having a composite buoyancy that is generally neutral.

Abstract: A fiber optic cable is attached to a termination box and exposed ribbon fiber segments are accessible. Fan-out fiber optic cables are attached to the termination box and exposed ribbon fiber segments are accessible. The exposed ribbon fiber segments from the fiber optic cable and the fan-out fiber optic cables are spliced and the splice is covered. The spliced ribbon fiber segments and the splice covering form a continuous length of exposed ribbon fiber. The splice covering is secured to a splice retention cradle. The splice retention cradle is rotated so that the exposed ribbon fiber crosses itself. The splice retention cradle is secured to the termination box with a double loop of exposed ribbon fiber remaining. The double loop is flipped to cross itself and the crossed double loop is folded to form a quadruple loop. The quadruple loop is secured to the termination box, using routing clips.

Abstract: A just-in-time data center cabling infrastructure is installed incrementally and concurrently with incremental changes in computing capacity in a data center. Based at least in part upon a determination to install one or more rack computer systems in a row of rack positions of the data center, a network switch device can be installed in the row, linked with a network zone via fiber optic cable connections, and linked to rack computer systems via patch cable connections. The fiber optic cables and patch cables are installed in the data center concurrently with installation of the rack computer system. A transverse bridge spans over an aisle space between opposite rows and includes console switch devices. The console switch devices, installed concurrently with one or more rack computer systems in the rows, enable remote access to console systems in the rack computer systems.

Abstract: Improved media patching systems and related methods of use are provided. The present disclosure provides improved systems/methods for the design and use of patching systems configured to support multiple media connections (e.g., high density, mixed media connections). The present disclosure provides advantageous systems/methods for the design and use of patching systems having one or more bracket members (e.g., Z-shaped bracket members) configured to facilitate cable management. In exemplary embodiments, the bracket members allow a panel assembly to move relative to the bracket members for cable management purposes. The improved systems/assemblies of the present disclosure provide users with the ability to install multiple media connections (e.g., copper-based and/or fiber optic connections) in the same patching system/enclosure.

Abstract: Exemplary embodiments are directed to cable management plate assemblies for a media patching system or a rack. The cable management plate assemblies include a lower cable management plate and an upper cable management plate. The upper cable management plate can be slidably secured to the lower cable management plate. In a first configuration, the upper cable management plate is disposed in a retracted position relative to the lower cable management plate. In a second configuration, the upper cable management plate is disposed in an extended position relative to the lower cable management plate. Embodiments are also directed to methods of supporting one or more cables in a media patching system or a rack, and associated media patching systems.

Abstract: A fiber optic enclosure assembly includes a housing having an interior region and a bearing mount disposed in the interior region of the housing. A cable spool is connectedly engaged with the bearing mount such that the cable spool selectively rotates within the housing. A termination module disposed on the cable spool so that the termination module rotates in unison with the cable spool. A method of paying out a fiber optic cable from a fiber optic enclosure includes rotating a cable spool, which has a subscriber cable coiled around a spooling portion of the cable spool, about an axis of a housing of the fiber optic enclosure until a desired length of subscriber cable is paid out. A termination module is disposed on the cable spool.

Abstract: A device for connecting a hybrid trunk cable to one or more jumper cables includes: an enclosure having two opposed end walls and two opposed side walls; a power connector mounted to a first end wall; a fiber optic connector mounted to the first end wall; and a plurality of mixed media connectors mounted to a first side wall. The power connector is electrically connected to the plurality of mixed media connectors, and the fiber optic connector is optically connected to the plurality of mixed media connectors.

Abstract: A manufacturer installed cable clamping insert is provided that can be used to fix various sizes of non-metallic sheeted cables to an electrical outlet box. The insert can be oval in shape and can be used to secure the cable without a tool. In use, the cable is simply pushed through a flap of the insert to a desired position in the enclosure. The cables can be removed or readjusted simply by lifting the flap from inside of the enclosure.

Abstract: The present invention provides an optical apparatus, which is configured to output image information and comprises a housing; a light source; an optical device; an optical device carrier, wherein the optical device is mounted on the optical device carrier and positioned on one side of the optical device carrier; a support plate positioned on the other side of the optical device carrier and being one part of the housing; and a connecting piece, wherein one end of the connecting piece penetrates the support plate and then is connected with the optical device carrier, and the relative positions of the connecting piece and the support plate are fixed.

Abstract: A photographing lens group and an electronic apparatus including the same are provided. The photographing lens group includes a first lens having a positive refractive power, a second lens having a negative refractive power, a third lens having a positive or negative refractive power, a fourth lens having a positive or negative refractive power, a fifth lens having a negative refractive power, and a sixth lens having a positive refractive power. The first, second, third, fourth, fifth, and sixth lenses are sequentially arranged from an object side to an image side of the photographing lens group. The photographing lens group satisfies an inequality of 1.0<CT6/CT5<3.5 where CT5 is a thickness of the fifth lens with respect to an optical axis and CT6 is a thickness of the sixth lens with respect to the optical axis.

Abstract: An image forming lens consists of from an object side to an image side in the following order: a first group with a positive refractive power; an aperture stop; and a second group with a positive refractive power, wherein the second group includes, from the object side to the image side in the following order, a biconvex lens, a biconcave lens, a negative meniscus lens a convex surface of which faces the image side, a biconvex lens, and a positive meniscus lens a convex surface of which faces the image side.

Abstract: A photographing optical lens assembly includes, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element and a fifth lens element. The first lens element with positive refractive power has a convex object-side surface. The second lens element with negative refractive power has a convex object-side surface and a concave image-side surface. The third lens element has refractive power. The fourth lens element has refractive power, and an object-side surface and an image-side surface thereof are aspheric. The fifth lens element with negative refractive power has a concave image-side surface, wherein an object-side surface and the image-side surface thereof are aspheric, and at least one of the object-side surface and the image-side surface thereof has at least one inflection point.

Abstract: An optical image capturing system, from an object side to an image side, comprises a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, and a sixth lens element. The first lens element has a positive refractive power and may have a convex object-side surface. The second through fifth lens elements has a refractive power and the object-side and image-side surfaces of these lens elements are aspheric. The sixth lens element has a negative refractive power and may have a concave image-side surface. The object-side surface and the image-side surface of the sixth lens element are aspheric, and at least one of the two surfaces has inflection points. When specific conditions are satisfied, the optical image capturing system may has a large aperture value and a better optical path adjusting ability to acquire better imaging quality.

Abstract: A lens system includes, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element and a sixth lens element. The first lens element with negative refractive power has a concave image-side surface in a paraxial region. The second lens element with refractive power has a convex object-side surface in a paraxial region. The third lens element has positive refractive power. The fourth lens element with positive refractive power has an object-side and an image-side surfaces being aspheric. The fifth lens element with negative refractive power has an aspheric concave object-side surface and an aspheric convex image-side surface in a paraxial region. The sixth lens element with refractive power has an image-side surface being concave in a paraxial region with a convex shape in an off-axis region.

Abstract: A photographing optical lens assembly includes, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and a seventh lens element. The second lens element has positive refractive power. The sixth lens element has both of an object-side surface and an image-side surface being aspheric. The seventh lens element has an image-side surface being concave in a paraxial region thereof, wherein the image-side surface of the seventh lens element has at least one convex shape in an off-axis region thereof, and both of an object-side surface and the image-side surface are aspheric.

Abstract: An imaging lens consists of, in order from the object side, a negative first lens, a positive second lens, a positive third lens, a negative fourth lens, a positive fifth lens, a positive sixth lens, and a negative seventh lens. When f12 is the combined focal length of the first lens and the second lens, f is the focal length of the entire system, ?d7 and ?d3 are respectively the Abbe's numbers of the materials of the seventh lens and the third lens with respect to the d line, the following conditional formulae are satisfied: f12/f<?3.2??(1) ?d7<55??(2) 40<?d3??(3).

Abstract: An imaging lens composed of a positive first lens group, an aperture stop, a negative second lens group, and a positive third lens group disposed in order from the object side. The first lens group includes one negative lens and one positive lens disposed in order from the object side. The second lens group includes one negative lens and one positive lens, has at least one aspherical surface, and is composed of three lenses or less, in which the most object side surface and the most image side surface of the second lens group are concave and convex surfaces respectively. The third lens group is composed of a negative lens with a concave surface on the object side and one or more positive lenses disposed in order from the object side.

Abstract: An optical imaging system for pickup, sequentially arranged from an object side to an image side, comprising: the first lens element with positive refractive power having a convex object-side surface, the second lens element with refractive power, the third lens element with refractive power, the fourth lens element with refractive power, the fifth lens element with refractive power; the sixth lens element made of plastic, the sixth lens with refractive power having a concave image-side surface with both being aspheric, and the image-side surface having at least one inflection point.

Abstract: An optical imaging system for pickup, sequentially arranged from an object side to an image side, comprising: the first lens element with positive refractive power having a convex object-side surface, the second lens element with refractive power, the third lens element with refractive power, the fourth lens element with refractive power, the fifth lens element with refractive power; the sixth lens element made of plastic, the sixth lens with refractive power having a concave image-side surface with both being aspheric, and the image-side surface having at least one inflection point.

Abstract: A relay optics includes a positive first lens group, a positive second lens group, and a positive third lens group. The second lens group includes, closest to the object, a lens having the concave surface facing toward the object. The relay optics is configured in such a manner that a light flux passing between the second and third lens groups is a substantially-parallel light flux, and satisfies condition expressions below, where f1 represents the focal length of the first lens group, d1 represents the length from the primary image to a surface closest to the object in the first lens group, f12 represents the combined focal length of the first and second lens groups, and exp12 represents the length from an exit pupil position of an optics consisting of the first and second lens groups to a surface closest to the object in the second lens group: 1?f1/d1?4.3 0.16?exp12/f12?1.2.

Abstract: A wide angle lens consists essentially of a front group and a rear group in this order from an object side. The front group consists essentially of two negative lenses and a positive lens in this order from the object side, and all of the three lenses are made of an identical material. The rear group includes at least one positive lens and at least one negative lens, and a lens closest to an image side in the rear group is a negative lens. When a refractive index for d-line of the material of the lenses in the front group is NF, conditional expression (1): 1.48<NF<1.6 is satisfied.

Abstract: An F? lens for extreme ultraviolet laser marking assembly and a laser processing device are provided. The lens assembly includes a first lens (L1), a second lens (L2), a third lens (L3), and a fourth lens (L4) successively coaxially arranged along a transmission direction of an incident laser. The first lens (L1) is a biconcave negative lens; the second lens (L2) is a falcate negative lens; the third lens (L3) is a falcate positive lens; and the fourth lens (L4) is a biconvex positive lens; and an intermediate part of the second lens (L2) and the third lens (L3) are both convex toward a transmission direction of the laser. A proportion of the refractive index of the first, the second, the third and the fourth lenses to the abbe number is 1.476/68, with a tolerance of 5%. By means of the design of the four lenses and relative positions therebetween, astigmatism and distortion are effectively corrected, and the focusing degree of the energy is high.

Abstract: A zoom lens includes: a first lens group having a positive refractive power which is fixed while changing magnification; two or more movable lens groups that move independently from each other while changing magnification; and a final lens group having a positive refractive power which is fixed while changing magnification, provided in this order from an object side. The zoom lens satisfying Conditional Formula (1) below: 1.30<h/(Yimg·tan ?)<2.37??(1).

Abstract: A zoom lens consists of five lens groups including, in order from the object side, positive, negative, positive, positive, and positive lens groups. During magnification change, the first and fifth lens groups are fixed relative to the image plane, and the second, third, and fourth lens groups are moved to change distances therebetween. During magnification change from the wide-angle end to the telephoto end, the second lens group is moved from the object side toward the image plane side, and the fourth lens group is moved from the image plane side toward the object side. The fifth lens group includes at least two negative lenses, and satisfies the condition expression (1) below: 1.90<LABnd??(1).

Abstract: A zoom lens consists of a negative first lens group, a positive second lens group, and a positive third lens group. Upon zooming from the wide angle end to the telephoto end, the first, second, and third lens groups are moved such that distance between the first lens group and the second lens group is reduced, and distance between the second lens group and the third lens group is increased. The first lens group is composed of a negative lens and a positive lens from the object side. The zoom lens satisfies given conditional expressions related to radius of curvature, center thickness, refractive index, and Abbe number of the negative lens and refractive index of the positive lens of the first lens group, and distance from the most object side surface to the most image side surface of the first lens group on the optical axis.

Abstract: A mirror (M) of a projection exposure apparatus for microlithography configured for structured exposure of a light-sensitive material and a method for producing a mirror (M). The mirror (M) has a substrate body (B), a first mirror surface (S) and a second mirror surface (S?). The first mirror surface (S) is formed on a first side (VS) of the substrate body (B). The second mirror surface (S?) is formed on a second side (RS) of the substrate body (B), the second side being different from the first side of the substrate body (B). The mirror (M) may be embodied, in particular, such that the substrate body (B) is produced from a glass ceramic material.

Abstract: The present invention relates to apparatus and methods to provide a closed loop pointing system for the purpose of redirecting light from a source onto a target. In one aspect the present invention relates to a method of redirecting incident light, comprising the steps of: using at least one light redirecting element to redirect the incident light; providing a plurality of optical proxies that are associated with the reflecting element in a manner such that at least two of the optical proxies distribute a portion of the incident light uniquely relative to each other, wherein optical information encoded in the light distributed by the optical proxies cumulatively correlates to the aim of the light redirecting element; observing the optical information distributed by the optical proxies; and using the optical information to controllably actuate the light redirecting element in a manner that aims the redirected light onto a target.

Abstract: An optical apparatus includes: laser; objective that irradiates a sample with laser light; phase-modulation spatial light modulator that is located at a pupil conjugate position of the objective and modulates a phase of the laser light; scan unit that scans the sample with the laser light; detector that detects observation light from the sample; image generating unit that generates a sample image according to a signal from the detector and control information of the scan unit; and controlling unit that sets for the modulator a modulation amount of the phase of laser light in accordance with a pattern to be formed on the sample using the laser light. According to the pattern to be formed on the sample and a pattern of irradiation with the laser light obtained from the image generated by the image generating unit, the controlling unit corrects the modulation amount that is set for the modulator.

Abstract: Various beam selectors for selectively placing one of at least two beams of light along the same output path are disclosed. In one aspect, a beam selector receives at least two substantially parallel beams of light. The beam selector includes a plate with an aperture so that when one of the at least two beams is selected for transmission, the beam selector directs only the selected beam along an output path through the aperture. The plate can also serve to block transmission of unselected beams. The output path through the aperture is the same for each of the at least two beams when each beam is selected. Beam selectors can be incorporated into fluorescence microscopy instruments to selectively place particular excitation beams along the same path through the microscope objective lens and into a specimen to excite fluorescence of fluorescent probes attached to a particular component of the specimen.

Abstract: A method for utilizing a multi-beam confocal scanning system to generate an image of a sample, the image having an improved resolution, is provided. An array of beams may be positioned at a first location on the sample. A first plurality of images may be captured, where each of the first plurality of images is associated with a beam of the array of beams at the first location. The array of beams may be adjusted by a specific distance to a second location on the sample, the specific distance being smaller than an optical resolution limit of the multi-beam confocal scanning system. A second plurality of images may be captured, where each of the second plurality of images is associated with a beam of the array of beams at the second location.

Abstract: Provided is a microscope system that including: a plurality of image-capturing sections that are provided in a microscope to capture a plurality of lights from a specimen; a capture-condition setting section that allows a user to set an image-capturing order of the plurality of groups into which the lights are classified, and the image-capturing sections for image-capturing of the lights; and a control section that causes the microscope to perform image capturing of the lights according to contents set in the capture-condition setting section. The capture-condition setting section has a table in which an first axis indicates the groups and a second axis indicates the image-capturing sections, and a plurality of cells that are each associated with one of the groups and one of the image-capturing sections are arrayed in a matrix; and captured items that indicate image-capturing of the lights are set in the cells.

Abstract: A microscope has an objective, a light source illuminating a sample over an illumination beam path, an arrangement producing a flat illumination pattern which is structured in both spatial directions on the sample, a surface detector detecting light coming over one picture beam path, an arrangement shifting the illumination pattern on the sample in one displacement direction, and a control unit taking one picture at a time of the light which was detected by the detector as phase picture in different positions of the pattern along the displacement direction and to computationally reconstruct from these phase pictures an overall picture of the illuminated sample region. The displacement direction is oblique to the main axes of symmetry of the illumination pattern and depending on the illumination pattern is chosen such that the number of phase pictures which is necessary for the picture reconstruction corresponds to the theoretically minimally required value.

Abstract: The invention relates to an incident illumination device for a microscope, for viewing a sample (1) in the microscope (10), having a planar light source (100) for incident illumination of the sample (1), wherein the planar light source (100) comprises a panel-shaped light guide having a lower boundary surface (111), an upper boundary surface, and at least one lateral surface, as well as at least one light-emitting means that is arranged so that it irradiates light, via at least one lateral surface serving as a light entry surface, into the light guide in such a way that said light propagates in the light guide due to total reflection; wherein the total reflection is disrupted in defined fashion by an element abutting at the lower boundary surface of the light guide against a contact surface so that an outcoupling of light occurs at the upper boundary surface of the light guide.

Abstract: It is an object of the present invention to provide a microscope that is capable of precisely controlling the amount of an immersion medium held in a gap between an objective lens and a mounting part, and that is capable of observing a specimen without varying the mounting part. The microscope includes a supply port from which an immersion medium is supplied to a gap between a film-like mounting part on which a specimen is loaded and an immersion objective lens, and a suction port that is arranged so as to be able to be brought into contact with an immersion medium supplied from the supply port, and from which the immersion medium can be sucked.

Abstract: A phosphor wheel comprises a wavelength conversion portion. The wavelength conversion portion comprises a wavelength conversion material optically integrated with at least one convex surface.

Abstract: Electromechanical light modulators and backlight providing efficient, low cost and high performance displays.

Abstract: In certain embodiments, a scanning system includes optical elements and a movement system. The optical elements include an optical fiber and a gradient-index (GRIN) lens. The optical fiber has a fiber axis that extends to an imaginary fiber axis, and is configured to transmit a light ray. The GRIN lens has a GRIN perimeter and a GRIN lens optical axis, and is configured to refract the light ray. The movement system moves a first optical element relative to a second optical element in a closed path such that the GRIN lens optical axis substantially aligns with the imaginary fiber axis at at least one point of the path and the GRIN perimeter intersects the imaginary fiber axis at at least two points of the path.

Abstract: A vehicle headlight includes a light source, a wavelength converting member and a mirror mounted on a movable frame unit configured to rotate the mirror about two orthogonal axes. Light emitted by the light source is reflected by the mirror such that rotation of the mirror by the movable frame unit scans the reflected light in two directions at a substantially right angle with respect to each other and/or direct the reflected light towards the wavelength converting member to provide various color lights The movable frame unit might be actuated by an AC voltage having a low frequency.

Abstract: A camera module is provided which has a simple structure, can be easily assembled, can avoid the adverse effects of dust on imaging, and can promote heat dissipation of an imaging device. In a camera module, which includes a lens unit that has a cylindrical thread portion, a flat plate-shaped imaging device that is mounted on a printed wiring board, and a holder that holds the lens unit and the printed wiring board with maintaining the predetermined positional relationship therebetween, an imaging field of the imaging device is disposed in a space tightly closed by a first spacer that is made into a ring shape made of an elastic material the surface of which is an adhesive surface, and the adhesive surface is exposed at least in an inner peripheral wall of the first spacer. The first spacer may be made of a material that further has favorable thermal conductivity.

Abstract: A variable transparency glass and an apparatus for adjusting a transparency variable glass are provided. The transparency variable glass includes a first transparent plate that has a first electrode part formed on an inner surface thereof and a second transparent plate that has a second electrode part formed on an inner surface thereof. In addition, a variable transmission layer is disposed between the first transparent plate and the second transparent plate.

Abstract: Embodiments of an apparatus comprising a light guide including a proximal end, a distal end, a display positioned near the proximal end, an ocular measurement camera positioned at or near the proximal end to image ocular measurement radiation, a proximal optical element positioned in the light guide near the proximal end and a distal optical element positioned in the light guide near the distal end. The proximal optical element is optically coupled to the display, the ocular measurement camera and the distal optical element and the distal optical element is optically coupled to the proximal optical element, the ambient input region and an input/output optical element. Other embodiments are disclosed and claimed.

Abstract: A head-up display system and method are provided that suppress double images from a combiner by eliminating or reducing a reflection of a refracted image from the back surface of the combiner. The combiner contains a tilted axis polarizing structure that attenuates transmittance and subsequent reflection of a refracted polarized projector image but maintains high transmittance for the forward external scene imagery.

Abstract: The present invention provides a positioning module for a head-up display device, including: a positioning motor which is operated by an operating signal from a control unit; a lead screw which is connected with the positioning motor and rotated by an operation of the positioning motor; a movable link which is in threaded engagement with the lead screw and moved in an axial direction of the lead screw by the rotation of the lead screw; and a connecting member which connects a mirror unit, which is provided to be rotatable about a rotating shaft, with the movable link, and rotates the mirror unit according to the movement of the movable link, in which connection portions between the connecting member and the movable link are in surface contact with each other, thereby improving durability and positioning performance.

Abstract: A head- or face-mounted image display device includes an environmental information acquisition unit that acquires environmental information, a state information acquisition unit that acquires state information, a guidance information generation unit that generates guidance information for guidance into a state in which the influence of environment is reduced or increased based on at least one piece of environmental information acquired for each state, and a provision unit that provides the guidance information.

Abstract: An electronic device includes a band configured to be worn on the head of a user. The band has a brow portion, a nosepiece depending from the brow portion, and a temple portion extending from the brow portion. An operational unit has a display element and a housing with an arm portion affixed to the temple portion of the band and defining a longitudinal axis. An elbow portion of the housing defines a display end of the housing and supports the display element such that it extends along a display axis that is angled with respect to the longitudinal axis and such that the display element is positionable over an eye of the user. Image generating means are disposed within the housing and configured for generating an image presentable to the user on the display element.

Abstract: A first optic receives optical environment content for delivery to the see-through display. The see-through display delivers output optical content to the second optic and delivers the optical environment content to the second optic. The second optic delivers the optical output content and optical environment content to a viewing position. The first optic alters the focal vergence of the optical environment content; the second optic alters the focal vergence of the optical environment content and the focal vergence of the optical output content. The focal vergences of the optical output content and optical environment content thus are independently controllable. The first and second optics may render the focal vergence of the optical environment content after first and second optics substantially equal to optical environment content unmodified by either the first or second optics. The focal vergences of optical environment content and output content may be equal after alteration.

Abstract: An electronic eyeglass is disclosed. The electronic eyeglass includes a polarizing beam splitter (PBS) and an eyeglass frame. The eyeglass frame carries the PBS.

Abstract: A display system for a head mounted device that illuminates the peripheral regions of the user's field of view to enhance an immersive experience. The system may use peripheral light emitters to the left and right of one or more central displays. Peripheral light emitters may provide lower resolution images, or only with vertical resolution, corresponding to the user's lower resolution vision in these peripheral regions. Reflective surfaces and lenses may be used to direct peripheral light into desired shapes and patterns. Rendering of peripheral light colors and intensities at each peripheral pixel may use approximations for improved performance since users may not be sensitive to precise color values in the peripheral regions.

Abstract: Systems, methods and computer readable media are provided for rendering virtual reality content. One example system includes a housing to be attached to a head of a user using a strap that connects to the housing. Display optics are integrated in the housing and are oriented on an internal side of the housing that is configured for orientation toward eyes of the user when the housing is attached to the head of the user. Further, electronics are integrated with the housing and a holder is integrated in the housing. The holder is configured to retain a smartphone. When the smartphone is retained by the holder a screen of the smartphone is oriented toward the display optics of the housing. A connector is integrated in the housing to enable connection of the smartphone to the electronics when the smartphone is retained by the holder. The smartphone includes a camera facing away from the display optics.

Abstract: Technology for stabilizing an interaction ray based on variance in head rotation is disclosed. One aspect includes monitoring orientation of a person's head, which may include monitoring rotation about an axis of the head, such as recording an Euler angle with respect to rotation about an axis of the head. The logic determines a three-dimensional (3D) ray based on the orientation of the head. The 3D ray has a motion that precisely tracks the Euler angle over time. The logic generates an interaction ray that tracks the 3D ray to some extent. The logic determines a variance of the Euler angle over time. The logic stabilizes the interaction ray based on the variance of the Euler angle over time despite some rotation about the axis of the head. The amount of stabilizing may be inversely proportional to the variance of the Euler angle.