We present here a web application for diffraction limited imaging parameters solution in paraxial space based on relations presented in paper: General relations for optical design parameters under diffraction limited paraxial imaging.

You can find the web application under link Web Application.

If you have any questions or comments you can contact me on: Jan.Hosek@fs.cvut.cz

• Refractive index N = n/n' represents the ratio of the refractive index of the object space n and the refractive index of the image space n'. The minimum reasonable value N = 0.6 coresponds to the imaging between vacuum (n = 1) in the object space and an immersion liquid (n' = 1.666) in the image space.
• Wavelength can be any positive value in nanometers.
• HH'distance is the distance between principle planes. It has no influence on the numerical result. But, it does affect the graphical presentation, as it separates the object and the image spaces.

• You can select one of the eight optical system design approaches presented in our paper. The approach selection determines the parameters that will be displayed in the Inputs section.

• Here you input the values of the four input parameters selected in Inputs selection. Keep in mind that the parameters input fields vary according to your Inputs selection.
  If the graphical result does not meet your expectation, check if you add desired value to the input field indicated with actually selected parameter.

• By clicking the Compute button you perform the diffraction limited imaging parameters computation. It also draws Graphical solution and fills Numerical solution tables in the Results presentation section.

• The graphical solution is a ray diagram produced to scale, with indications of positions of the imaging optics' pupils and focal and principal positions.
• Focal planes F and F' are reperesented by black dashed lines. The back focal plane is a black and green dashed line.
• Principal planes H and H' are reperesented by cyan dot-and-dashed lines.
• Pupils' opennings D and D' are reperesented by black dotted lines. Pupils' parts blocking the light are represented by thick solid lines. Black indicates the positive height and blue indicates the negative height.
• Object resolution w is reperesented by a thick red vertical line.
• Image resolution d is reperesented by a thick green vertical line.
• Blue rays are rim rays. These rays represent the numerical solution of the imaging problem.
• Dotted blue rays reperesent extended rays, typically in between the principle planes and from the object and image edge to the optical axis or the pupil rim.
• Green and magenta rays reperesent the geometrical solution based on the properties of the rays' propagation through the focal points indicated by red x and green x crosses on optical axis. This solution is independent of the numerical solution. The correctness of the result is assured if the blue, green and magenta rays meet at a single point of the image.
• Cyan dotted rays reperesent the geometrical solution based on the properties of the rays' propagation from the focal plane points. This solution is independent of the numerical solution. The correctness of the result is assured if the blue rays in image space are parallel with the cyan dotted rays, meeting at the back focal point indicated with green cross x on optical axis.
• Distance between red crosses + on the optical axis reperesent the range of the Depth of Field DF.
• Distance between green crosses + on the optical axis reperesent range of the Depth of Focus DI.

• Table under the Graphical solution contains all twelve parameters meeting the diffraction limited imaging in paraxial space for desired values of the four input parameters.

• The height of the real positive lens image has the opposite sign to that of the object height sign. If the user uses the same sign for the object resolution w > 0 and the image resolution d > 0 it results in a solution for negative lens. To prevend an undesired solution, the solver computes both possibilities - one in Plot w,d tab and the second in Plot w,-d tab.
• In the case w > 0, and d > 0, the pupils are outside the space between the lens' focal planes. Also, the exit exit pupil is inverted (D' < 0), what is indicated by the opposite positions of pupil's black and blue colors.

• The app shows actual numerical results in a single line table bellow the Graphical solution.
• All solutions within the actual session are attached to the second table called List of results.
• Individual solutions are in rows, where the first column indicates the design Input selection arranged in order as in the paper:

  	Design #306	(g, w, g', d) =	1
  	Design #307	(g, DF, g', d) =	2
  	Design #312	(g, w, d, DI) =	3
  	Design #261	(D, g, g', d) =	4
  	Design #220	(f', g, w, g') =	5
  	Design #10	(f', D, x0, g) =	6
  	Design #2	(f', D, x0, D') =	7
  	Design #105	(f', x'0, g', d) =	8

• Next columns represent the values of all twelve imaging problem parameters, and F/#_max value.
• Remaining two columns represents values of the environmental constants N and wavelength wav.