ZEMAX Users' Knowledge Base - http://www.zemax.com/kb
Why is the Optical Performance Sometimes Different at the Image Surface Versus a Co-Located Surface?
http://www.zemax.com/kb/articles/131/1/Why-is-the-Optical-Performance-Sometimes-Different-at-the-Image-Surface-Versus-a-Co-Located-Surface/Page1.html
By Andrew Locke
Published on 1 September 2006
 
This article explains why you may see very different results at two co-located surfaces that are at the same location in space, when one of the surfaces is the image surface.

 


Introduction

There are many analysis features in ZEMAX that allow you to evaluate optical performance both at the defined image surface as well as intermediate surfaces. This capability makes it easy to evaluate intermediate image locations in an optical system. Here is just a few of the features that support such evaluation:

  • Ray fans
  • OPD fans
  • Wavefront maps
  • PSF plots
  • MTF plots

You can even optimize at surfaces other than the defined image surface using the IMSF operand.  For information on using this operand, please see the Knowledge Base article “How to Optimize at Intermediate Surfaces”.

Care must be taken when evaluating performance at intermediate surfaces.  There are a number of assumptions that ZEMAX makes when performing intermediate surface evaluation.  For full details on these assumptions, please see the section entitled “Fans”, sub-section “Ray Aberration”, sub-section “Evaluating results at intermediate surfaces” in the “Analysis Menu” chapter of the ZEMAX manual. The next page describes a very important consequence.


Focal mode evaluation

Most analysis features in focal mode will only make sense if they are evaluated at a surface which is at a focus. Therefore, for most analysis features in focal mode, ZEMAX will apply a paraxial marginal ray height solve prior to the intermediate surface being used for evaluation.  This solve removes any defocus that may be present at the intermediate surface.  Depending upon the system being evaluated, this can have a significant impact on analysis results.

To demonstrate this, open the Cooke triplet ZEMAX sample file:  {zemaxroot}/Samples/Sequential/Objectives/Cooke 40 degree field.zmx.

With this sample file open, open the Wavelength Data dialog and observe that wavelength #2 is the primary wavelength:

Wavelength Data dialog showing primary wavelength (wavelength 2)

Next, insert a surface prior to the image surface in the Lens Data Editor. Once you have done so, the dummy surface that you inserted should be surface 7 and the image surface should be surface 8.  With a Thickness of 0 on surface 7, the dummy surface and the image surface are at the same location in space:

Lens Data Editor showing 0 thickness on surface 7 indicating it is co-located with the image surface

Open the menu option, “Reports > Prescription Data” and scroll down to the Global Vertex Coordinates section.  Observe that surfaces 7 and 8 (the image surface) are at the same location in space with the same orientation:

Header of Global Vertex data in Prescription Data report
Global Vertex data for surface 7 and image surface showing they are co-located

Open a ray fan plot (menu option, “Analysis > Fans > Ray Aberration” or “Ray” button on the button bar) and modify the settings to only show the data for the on-axis field at the primary wavelength.  Also notice that you are looking at a ray fan at the defined image surface:

Ray Fan settings for the image surface
You can see from the resulting ray fan that this optical system is clearly not at paraxial focus given the large slope through the origin:

Ray Fan for the defined image surface showing large amount of defocus

Now, open the settings for the ray fan and adjust them so that you are analyzing at surface 7, the surface prior to the image surface:

Ray Fan settings for surface 7

Observe from the zero slope of the resulting ray fan that the optical system is now at paraxial focus:

Ray Fan at surface 7 showing paraxial focus

The ray fan has changed even though surface 7 and the image surface are at the same location in space with the same orientation.  Since surface 7 is an intermediate surface, ZEMAX applies a paraxial marginal ray height solve prior to this surface for evaluation purposes.  This solve effectively removes the focus error, zeroing the slope of the ray fan.  No such adjustment is made when evaluating at the defined image surface.


Summary
This article has demonstrated the capability of ZEMAX to evaluate optical performance at intermediate surface locations.  You must be careful in interpreting the results of analyses performed at intermediate surfaces, always keeping in mind the assumptions that ZEMAX uses for such evaluations.  One important assumption made for focal mode optical systems is that many analysis features only make sense if the intermediate surface is at a focus.  These analysis features apply a paraxial marginal ray height solve to locate the intermediate surface at paraxial focus.