Question

Design a single lens Digital Optical Microscope (diffraction not sensor limited) with the following specifications

1. Microscope is telecentric in the object space.
2. Resolution is at least 2.0 micron at 500nm.
3. FOV should be minimum 500 microns (size of the recorded image)
4. Camera’s pixel size is 3.3 microns Determine system’s magnification and necessary number of pixels to provide above field.

Choose the focal length of the objective lens, find the working distance, and the location of the system stop.
Determine the diameter of the system stop and the NA of the objective.

Answer 1

To design a single lens Digital Optical Microscope with the given specifications, follow these steps: calculate magnification and number of pixels, choose the focal length of the objective lens, find the working distance and location of the system stop, determine the diameter of the system stop, and calculate the NA of the objective.

Step-by-step explanation:

In order to design a single lens Digital Optical Microscope with the given specifications, we need to determine the magnification, number of pixels, focal length of the objective lens, working distance, and location of the system stop. Here are the steps to achieve this:

1. To calculate the magnification, we can use the formula:
2. magnification = (NA * pixel size) / (2 * resolution)
3. Next, we can calculate the necessary number of pixels for the given field of view using the formula:
4. number of pixels = field of view / pixel size
5. To choose the focal length of the objective lens, we need to consider the desired magnification and the resolution:
6. focal length = (2 * resolution * working distance) / (magnification * wavelength)
7. The working distance can be determined by subtracting the focal length from the distance between the objective lens and the system stop.
8. The location of the system stop can be determined by adding the focal length of the objective lens to the working distance.
9. The diameter of the system stop can be calculated using the formula:
10. diameter = (2 * wavelength * focal length) / (NA * pixel size)
11. Finally, the numerical aperture (NA) of the objective can be calculated using the formula:
12. NA = (2 * resolution) / (magnification * wavelength)