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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...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
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...
Quadric Surfaces01:28

Quadric Surfaces

Quadric surfaces are three-dimensional surfaces characterized by second-degree equations in the variables x, y, and z. These surfaces are smooth and continuous, and specific combinations of squared and linear terms define their shapes. The main types of quadric surfaces include ellipsoids, cones, paraboloids, and hyperboloids. Each type exhibits distinct geometric features depending on how the variables are arranged and related within the equation.Ellipsoids are closed surfaces formed when all...
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

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Related Experiment Video

Updated: Jun 12, 2026

Scanning Light Scattering Profiler (SLPS) Based Methodology to Quantitatively Evaluate Forward and Backward Light Scattering from Intraocular Lenses
06:55

Scanning Light Scattering Profiler (SLPS) Based Methodology to Quantitatively Evaluate Forward and Backward Light Scattering from Intraocular Lenses

Published on: June 6, 2017

Ray-tracing simulation method using piecewise quadratic interpolant for aspheric optical systems.

Shin-Ya Morita1, Yohei Nishidate, Takashi Nagata

  • 1VCAD System Research Program, RIKEN, Saitama 351-0198, Japan. morishin@riken.jp

Applied Optics
|June 22, 2010
PubMed
Summary

This study introduces a precise ray-tracing method for aspheric lenses, accounting for fabrication errors. The new technique significantly reduces computational resources for accurate optical simulations.

Related Experiment Videos

Last Updated: Jun 12, 2026

Scanning Light Scattering Profiler (SLPS) Based Methodology to Quantitatively Evaluate Forward and Backward Light Scattering from Intraocular Lenses
06:55

Scanning Light Scattering Profiler (SLPS) Based Methodology to Quantitatively Evaluate Forward and Backward Light Scattering from Intraocular Lenses

Published on: June 6, 2017

Area of Science:

  • Optics and Photonics
  • Computational Science
  • Materials Science

Background:

  • Aspheric lenses are crucial in optical systems but their fabrication introduces surface errors.
  • Accurate simulation of light propagation through aspheric lenses with these errors is computationally intensive.
  • Existing methods often struggle to balance precision with computational efficiency.

Purpose of the Study:

  • To develop a novel, precise, and efficient ray-tracing simulation method for aspheric lenses.
  • To incorporate the effects of mid-spectral frequency surface errors arising from fabrication.
  • To accelerate the ray-tracing process for practical applications.

Main Methods:

  • Utilizing the Nagata patch, a quadratic interpolant for surface meshes, to represent lens geometry.
  • Implementing improved algorithms for ray-patch intersection calculations.
  • Developing acceleration techniques for the ray-tracing simulation.

Main Results:

  • The Nagata patch effectively represents aspheric lens geometry with mid-spectral surface errors.
  • The proposed method achieves significant speed-up in ray-tracing simulations.
  • The technique requires substantially fewer patches compared to polygonal approximations (10^5 to 10^9 times fewer).

Conclusions:

  • The developed ray-tracing method provides precise simulation of aspheric lenses with fabrication errors.
  • This efficient technique is suitable for applications like optical disk pick-up objectives.
  • The method offers a practical solution for complex optical system design and analysis.