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chapter 9, Athermats

Author(s): Max J. Riedl
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Chapter Contents

  • 9.1 Introduction
  • 9.2 Focus Shift of a Refractive Element
  • 9.3 Athermalization with a Doublet
  • 9.4 Focus Shift of a Diffractive Lens
  • 9.5 Design Examples
  • 9.5.1 Athermat with two elements in an aluminum housing
  • 9.5.2 Hybrid athermat in an aluminum housing
  • 9.6 Impact of Housing Material
  • 9.7 Athermat for the CO2 Laser Line
  • 9.8 Athermalized Achromat
  • 9.8.1 Three-element athermat in an aluminum housing
  • 9.8.2 Two-element athermat in an aluminum housing
  • 9.9 Effect of Quarter-Wave Limit without

Excerpt

9.1 Introduction

Athermats are lenses that are designed to compensate for the focus shift that occurs with temperature excursions. The changing parameters of an optical element are the radius, the thickness, and the index of refraction. The spacing of the lens from the detector also changes and is a function of the coefficient of expansion of the housing material1.

9.2 Focus Shift of a Refractive Element

The power (reciprocal of the focal length f) of a thin lens is given by

math
where n = index of refraction, and R1 and R2 are the surface radii. Differentiation of Eq. (9.1) with respect to temperature yields
math

We recognize in this equation that (1/R1)(dR1/dt) = (1/R2)(dR2/dt) = αL,, the thermal coefficient of the lens material. Therefore,

math

Rearranging and making use of Eq. (9.1) results in

math



©2009 Society of Photo-Optical Instrumentation Engineers
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BOOK DATA

Print ISBN:

9780819477996

eISBN:

9780819478894

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