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Gradient refractive index square lenses. II. Imaging.

Aimei Liu1, Hao Lv, Jufang Tong

  • 1Department of Physics, Xiaogan University, Xiaogan 432000, China.

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Summary

This study develops a theoretical framework to measure the refractive index and focusing constant of gradient refractive index (GRIN) lenses. The imaging method accurately determines these optical properties for GRIN square and rod lenses.

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Area of Science:

  • Optics
  • Materials Science
  • Photonics

Background:

  • Gradient refractive index (GRIN) lenses offer unique optical properties due to their continuously varying refractive index.
  • Accurate characterization of GRIN lens parameters, such as central refractive index and focusing constant, is crucial for optical system design.
  • Existing methods for GRIN lens characterization can be complex and time-consuming.

Purpose of the Study:

  • To theoretically establish the relationship between lateral magnification (m) and object distance (L(0)) for GRIN square and rod lenses.
  • To develop and apply an imaging method for precise measurement of the central refractive index (n(0)) and focusing constant (alpha) of GRIN lenses.
  • To validate the accuracy of the developed measurement technique.

Main Methods:

  • Theoretical derivation of the relationship between magnification and object distance for GRIN lenses.
  • Utilizing an imaging method involving linear fitting of object distance versus the reciprocal of magnification at various image locations.
  • Experimental measurement of optical parameters for GRIN square and rod lenses.

Main Results:

  • The central refractive indices (n(0)) were determined to be 1.611 for the GRIN square lens and 1.609 for the GRIN rod lens.
  • The focusing constants (alpha) were measured as 0.0926 for the GRIN square lens and 0.100 for the GRIN rod lens.
  • The measured central refractive indices demonstrated high accuracy, precise to 10(-3).

Conclusions:

  • The established theoretical relationship and imaging method provide an effective means for characterizing GRIN lenses.
  • The determined optical parameters (n(0) and alpha) are accurate and reliable for both GRIN square and rod lens types.
  • This research contributes to the precise fabrication and application of GRIN optical components.