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About the DCL - Optical Design

Assumptions and Constraints
Design Notes
Optical Design Prescription (PDF)

Schematic ray diagram of DCL's Offner Optical layout
Schematic ray diagram of DCL's Offner Optical layout

Offner layout rendering
Computer-Aided Design rendering of Offner layout showing optical mechanical mounts, mirrors, integrating spheres, dewar, positioning stages, light source and monochromator.

Offner layout rendering
Scale rendering of non-imaging optical setup, showing light source, monochromator, filter wheel, integrating sphere, and dewar; one of several non-imaging setups within the DCL.

Encircled Energy Curve
Encircled Energy curve of the Optical Design

Ensquared Energy curve
Ensquared Energy curve of the Optical Design

Spot Diagram
Spot diagram of the Optical Design


Assumptions and Constraints

  • Maximum ensquared energy in a 15 micron pixel, using 500 nm light.
  • 61.44 mm x 61.44 mm output image size (4096 15 micron pixels).
  • System housed on a 4'x6' table.
  • 3 or fewer powered mirrors for simplicity.
  • Maximum 12" diameter mirrors for COTS mounts.
  • 2" clearance outside of clear aperture for COTS mounts.

Design Notes

The best choice for achieving this field size, and to have sufficient aperture for a small diffraction spot, is a modified Offner, 3 mirror system. The unmodified system is corrected for all third-order aberrations (spherical, coma, astigmatism, field curvature, and distortion). A few modifications are made to introduce some third-order aberration in order to compensate for the dominant residual fifth-order astigmatism.

After satisfying the field size requirement and other constraints, the f/number has been adjusted to optimize the ensquared energy. At slower f/numbers, the system is diffraction limited, but the diffraction point spread function is large. At faster f/numbers, the point spread function is dominated by geometrical aberrations. The optimal speed for this set of constraints is f/9. The ensquared energy achieved is 86.3% in a 15 micron pixel, averaged over the field. The center of the field sees slightly better performance 88.2%.

The other typical performance indicators are:

  • The geometrical rms spot radius: 2.9 microns average, 1.9 microns in the field center (these numbers should be rss-ed with the diffraction spot size of 1.22*f/9*500 nm).
  • The rms wavefront error: 0.044 microns average, .028 microns in the center.
  • The Strehl ratio at 500 nm: 0.73 average, 0.88 in the center (0.8 is diffraction limited).

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Contact: webmaster@dcl.gsfc.nasa.gov, Global Science & Technology, Inc.
Last Updated: July 8, 2003