Angular resolution of microscope

In summary, the conversation discusses the formula for calculating angular resolution and the use of NA=nsina for microscopes. The formula for theta (angular resolution) is θ =1.22λ/d, and the results are 5.8865x10^-5 degree or 1.027x10^-6 rad. The question is raised about the difference in the formula for microscopes, which uses NA=nsina, and how it relates to λ and d.
  • #1
58
1

Homework Statement


擷取1.PNG


Homework Equations


θ =1.22λ/d

The Attempt at a Solution


for (a) θ =1.22λ/d
θ =1.22(579nm)/(1.2cm)[/B]
θ =5.8865x10^-5 degree= 1.027x10^-6 rad but the answer =2x10^-3rad ,
for the micorscope, the formula of angular resolution is different?
i find that NA=nsina (but how can i link with λ and d?)
 
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  • #2
kenok1216 said:
The attempt at a solution
for (a) θ =1.22λ/d
θ =1.22(579nm)/(1.2cm)
θ =5.8865x10^-5 degree= 1.027x10^-6 rad but the answer =2x10^-3rad ,
for the micorscope, the formula of angular resolution is different?
i find that NA=nsina (but how can i link with λ and d?)

your formula for theta seems to be correct -check the results once again.
 
  • #3
drvrm said:
your formula for theta seems to be correct -check the results once again.
YES, it is right, the answer is 5.8865x10^-5 rad
 

1. What is the definition of angular resolution of a microscope?

The angular resolution of a microscope is a measure of its ability to distinguish between two closely spaced objects or features in an image. It is determined by the microscope's optical design and the wavelength of light used for imaging.

2. How is angular resolution calculated?

Angular resolution is calculated by dividing the wavelength of light used for imaging by the numerical aperture of the microscope's objective lens.

3. What factors affect the angular resolution of a microscope?

The angular resolution of a microscope is affected by the numerical aperture of the objective lens, the quality of the optics, and the wavelength of light used for imaging. Other factors such as the type of sample and the magnification of the microscope can also impact angular resolution.

4. What is the difference between angular resolution and spatial resolution?

Angular resolution refers to the ability of a microscope to distinguish between two closely spaced objects or features in an image, while spatial resolution refers to the smallest distance between two points that can be resolved in an image. Angular resolution is dependent on the optical design of the microscope, while spatial resolution is also affected by the size of the detector and the type of sample being imaged.

5. Can the angular resolution of a microscope be improved?

Yes, the angular resolution of a microscope can be improved by using a higher numerical aperture objective lens, using a shorter wavelength of light, and using higher quality optics. However, there is a limit to how much the angular resolution can be improved based on the physical properties of light and the optical design of the microscope.

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