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Related Experiment Video

Updated: Jul 8, 2026

The Rodent Model of Nonarteritic Anterior Ischemic Optic Neuropathy (rNAION)
06:49

The Rodent Model of Nonarteritic Anterior Ischemic Optic Neuropathy (rNAION)

Published on: November 20, 2016

Distortion in a gradient-index rod.

E W Marchand1

  • 1University of Rochester, Institute of Optics, Rochester, New York 14627, USA.

Applied Optics
|February 1, 1983
PubMed
Summary
This summary is machine-generated.

An algebraic formula quantifies fifth-order distortion in GRIN-rod lenses. Measuring this distortion allows for precise determination of the lens profile formula coefficients.

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Area of Science:

  • Optics
  • Lens design
  • Materials science

Background:

  • Gradient-index (GRIN) rod lenses offer unique optical properties.
  • Accurate characterization of lens aberrations is crucial for optical system performance.
  • Fifth-order aberrations can significantly impact image quality in complex optical designs.

Purpose of the Study:

  • To derive an algebraic formula for the fifth-order distortion specific to GRIN-rod lenses.
  • To establish a method for determining GRIN-rod lens profile coefficients through distortion measurement.

Main Methods:

  • Derivation of a new algebraic formula based on optical principles.
  • Experimental measurement of optical distortion in GRIN-rod lenses.
  • Correlation of measured distortion with the derived algebraic formula.

Main Results:

  • Successful derivation of a fifth-order distortion formula for GRIN-rod lenses.
  • Demonstration that measured distortion directly relates to specific profile coefficients.
  • Validation of the formula's predictive capability for lens performance.

Conclusions:

  • The derived algebraic formula provides a novel tool for analyzing GRIN-rod lens distortion.
  • Distortion measurement offers a practical method for characterizing GRIN-rod lens profiles.
  • This work contributes to the precise design and manufacturing of gradient-index optical components.