Related Experiment Video

Updated: Jun 12, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Automatic design of optical systems using a set of general skew ray tracing formulas

Y W Zhang, M J Chang, C W Yang

    Applied Optics
    |June 10, 2010
    PubMed

    More Related Videos

    Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station05:57

    Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station

    Published on: April 1, 2020

    Related Concept Videos

    Design Example: Traverse Angle Computations01:25

    Design Example: Traverse Angle Computations

    Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
    Design of Transmission Shafts01:16

    Design of Transmission Shafts

    The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by reconfiguring the...
    Transmission Shafts: Problem Solving01:09

    Transmission Shafts: Problem Solving

    Designing a solid shaft that transmits power from a motor to a machine tool involves a series of calculations to ensure the shaft can withstand the stresses applied by bending moments and torques. First, calculate the torque exerted on the gear, considering the power transmitted by the shaft and its rotational speed. Following this, compute the tangential forces acting on the gears, which directly relate to the torque and the gear radius.
    Next, use bending moment diagrams for the shaft to...
    Thin-Walled Hollow Shafts01:15

    Thin-Walled Hollow Shafts

    In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
    Orthogonal Trajectories01:26

    Orthogonal Trajectories

    Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
    Lines in Space01:29

    Lines in Space

    In three-dimensional analytic geometry, a line can be fully described using vector equations when both a point on the line and its direction are known. This approach has practical applications in fields such as engineering and surveying, where precise spatial modeling is essential. For instance, a laser beam from a surveying instrument directed across a construction site can be modeled mathematically as a line using vectors.Let the laser beam originate from a known point P₀, represented by the...