Angular resolution of microscope

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SUMMARY

The discussion centers on the calculation of angular resolution in microscopy, specifically using the formula θ = 1.22λ/d. The user initially calculated θ as 5.8865x10^-5 radians for a wavelength of 579 nm and a distance of 1.2 cm, but expected a result of 2x10^-3 radians. The conversation clarifies that the formula for angular resolution in microscopy may differ, and the numerical results should be verified. The numerical values and formulas discussed are critical for understanding angular resolution in optical systems.

PREREQUISITES
  • Understanding of angular resolution and its significance in microscopy.
  • Familiarity with the formula θ = 1.22λ/d for calculating angular resolution.
  • Knowledge of numerical aperture (NA) and its relationship to angular resolution.
  • Basic concepts of wavelength and distance in optical systems.
NEXT STEPS
  • Research the relationship between numerical aperture (NA) and angular resolution in microscopy.
  • Explore the implications of different wavelengths on angular resolution calculations.
  • Learn about the limitations of the formula θ = 1.22λ/d in various optical systems.
  • Investigate advanced microscopy techniques that enhance angular resolution.
USEFUL FOR

Students studying optics, microscopy researchers, and professionals involved in optical engineering who seek to deepen their understanding of angular resolution and its calculations.

kenok1216
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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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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.
 
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
 

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