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A wave tracing

    https://en.wikipedia.org/wiki/Ray_tracing_(physics)#:~:text=In%20physics%2C%20ray%20tracing%20is%20a%20method%20for,change%20direction%2C%20or%20reflect%20off%20surfaces%2C%20complicating%20analysis.
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Geometrical Optics 101: Paraxial Ray Tracing Calculations

    https://www.edmundoptics.com/knowledge-center/application-notes/optics/geometrical-optics-101-paraxial-ray-tracing-calculations/
    PARAXIAL RAY TRACING STEPS: CALCULATING BFL OF A PCX LENS. Step 1: Enter Known Values. To begin, enter the known dimensional values of #49-849 into the ray-tracing sheet (Figure 2). Surface 0 is the object ... Step 2: Add a Marginal Ray to the System. Step 3: Calculate BFL with Equations and the Ray ...

Lecture 17: Lenses and ray tracing - Physics

    https://physicscourses.colorado.edu/phys1230/phys1230_fa18/lectures/Lecture17_Lenses_and_Ray_Tracing_fa18.pdf
    1) A ray parallel to the axis is deflected through the focus on the other side 2) A ray through the center of the lens continues undeviated 3) A ray coming from the focus on one side goes out parallel to the axis on the other. F F’ 1 2 3 3 foci. focal length. Thin convex (converging) lens: Ray tracing rules. 18.

Ray tracing (physics) - Wikipedia

    https://en.wikipedia.org/wiki/Ray_tracing_(physics)
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Geometrical Optics 101: Paraxial Ray Tracing Calculations

    https://www.edmundoptics.co.uk/knowledge-center/application-notes/optics/geometrical-optics-101-paraxial-ray-tracing-calculations/
    Ray tracing involves two primary equations in addition to the one for calculating power. Equations 2 – 3 are necessary for any ray-tracing calculations. (2)y′ = y+u′t′ y ′ = y + u ′ t ′ (3)n′u′ = nu−yΦ n ′ u ′ = n u − y Φ where an apostrophe denotes the subsequent surface, angle, thickness, etc.

Ray Tracing Basics

    https://web.cse.ohio-state.edu/~shen.94/681/Site/Slides_files/basic_algo.pdf
    p(t) = e+ t (s-e) (now you know how to get s and e) •Typically weoffset the ray by half of the pixel width and height, i.e, cast the ray from the pixel center e s s-e incrementing (i,j) (0,0) Put it all together •We can represent the ray as a 3D parametric …

Lens approximations and equations - Opto E

    https://www.opto-e.com/basics/lens-approximations-and-equations
    The thin lens approximation requires the lens thickness to be considerably smaller than the radii of curvature of the lens surfaces: it is thus possible to ignore optical effects due to the real thickness of the lenses and to simplify ray-tracing calculations. Furthermore, assuming that both object and image space are in the same medium (e.g ...

Ray Diagrams for Lenses - Georgia State University

    http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/raydiag.html
    A ray from the top of the object proceeding parallel to the centerline perpendicular to the lens. Beyond the lens, it will pass through the principal focal point. For a negative lens, it will proceed from the lens as if it emanated from the focal point on the near side of the lens. A ray through the center of the lens, which will be undeflected.

Section 9 Paraxial Raytracing - University of Arizona

    https://wp.optics.arizona.edu/jgreivenkamp/wp-content/uploads/sites/11/2019/01/201-202-09-Paraxial-Raytracing.pdf
    Paraxial Raytrace Equations - System Refraction at an optical system effectively occurs at the principal planes of the system. The ray emerges from the rear principal plane at the same height, but with a different angle. The transfer distance t’ allows the ray height y’ …

2.4 Thin Lenses - University Physics Volume 3 | OpenStax

    https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses
    Lenses. Step 1. Determine whether ray tracing, the thin-lens equation, or both would be useful. Even if ray tracing is not used, a careful sketch is always very useful. Write symbols and values on the sketch. Step 2. Identify what needs to be determined in …

Thick lenses Analytical ray tracing Aberrations

    https://www.physics.purdue.edu/webapps/index.php/course_document/index/phys322/1727/25/15290
    Compound thick lens Can use two principal points (planes) and effective focal length f to describe propagation of rays through any compound system Note: any ray passing through the first principal plane will emerge at the same height at the second principal plane For 2 lenses (above): 1 2 1 2 1 1 1 f f d f f f 22 2 1 11 1 2 H H fd f H H fd f

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