Wavefront Maps and Profiles of Seidel Aberrations

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows profile and wavefront maps for tilt, focus, and fourth-order wavefront aberrations coma, astigmatism, and spherical aberration. You can choose the wavefront map to be a density plot or one of several 3D plots, including stereo pairs of the cylindrical plot. The OPD (optical path difference) is the wavefront aberration calculated from the aberration coefficients.

Contributed by: James C. Wyant (January 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The study of wavefront aberrations is very important in the design, fabrication, and testing of all optical systems. This Demonstration helps in the study of the Seidel monochromatic aberrations, named after L. Seidel, who in 1856 gave explicit formulas for calculating them. The Seidel aberrations are of the fourth degree in the pupil variables and and the field position when expressed as wavefront aberrations, and are of the third degree when expressed as transverse ray aberrations. Because of this, these aberrations are either known as third-order or fourth-order aberrations, depending upon whether transverse ray or wavefront aberrations are being considered. The five Seidel aberrations are coma, astigmatism, spherical aberration, distortion, and field curvature. At a given field position, distortion and field curvature are simply tilt and focus (curvature), respectively. The density plot shows what an interferogram testing an optical system with the fourth-order wavefront aberrations present would look like. The various 3D plots give a representation of the wavefront shape. A three-dimensional image of the wavefront aberration can be seen by looking at the stereo pairs of the 3D plots.

References

[1] W. J. Smith, Modern Optical Engineering, 4th ed., New York: McGraw–Hill, 2008.

[2] W. T. Welford, Aberrations of Optical Systems, Bristol: Adam Hilger, 1986.

[3] V. N. Mahajan, Optical Imaging and Aberrations, Part I: Ray Geometrical Optics, Bellingham, WA: SPIE Press, 1998.

[4] J. C. Wyant and K. Creath, "Basice Wavefront Aberration Theory for Optical Metrology," Applied Optics and Optical Engineering, Vol. XI (R. R. Shannon and J. C. Wyant, eds.), New York: Academic Press, 1992, pp. 11–53.

[5] J. C. Wyant. "webMathematica and LiveGraphics3D." (Dec 22, 2011) wyant.optics.arizona.edu/math.htm.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send