Simple Optic Resolution Problem/ Rayleigh's Criterion

In summary, the conversation discusses how to determine the smallest diameter of an objective lens needed to see astronauts on the moon. The conversation mentions using Rayleigh's Criterion and the equation θmin = 1.22λ/D to calculate the minimum resolvable angle. The person asking for help is unsure how to apply the equation and is seeking assistance.
  • #1
bmb2009
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Homework Statement




Suppose you wanted to be able to see astronauts on the moon. What is the smallest diameter of the objective lens required to resolve a 0.68 m object on the moon?

Homework Equations



I was told to use Rayleigh's Criterion but i do not see how to relate the equation
θmin = 1.22λ/D where theta is the minimum resolvable angle, lambda is the wavelength and D is diameter?


The Attempt at a Solution



Didn't even know where to start, any help would be greatly appreciated! thanks
 
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  • #2
How far away is the moon? What angle would a 0.68m wide object on the moon subtend at the telescope on Earth? What wavelength would be appropriate?
 

Related to Simple Optic Resolution Problem/ Rayleigh's Criterion

What is the Simple Optic Resolution Problem?

The Simple Optic Resolution Problem, also known as Rayleigh's Criterion, is a measure of the minimum distance between two objects that can be resolved by an optical system. It takes into account factors such as the wavelength of light and the aperture size of the system.

What is the significance of Rayleigh's Criterion?

Rayleigh's Criterion is important because it determines the limit of the resolution of an optical system. It helps scientists and engineers design and improve optical instruments, such as telescopes and microscopes, to achieve better resolution.

How is Rayleigh's Criterion calculated?

Rayleigh's Criterion is calculated by taking the wavelength of light and dividing it by the aperture size of the optical system. The result is the minimum distance between two objects that can be resolved by the system.

What is the relationship between aperture size and resolution?

The larger the aperture size of an optical system, the better the resolution will be. This is because a larger aperture allows more light to enter the system, resulting in a smaller diffraction pattern and better separation of objects.

What factors can affect the resolution of an optical system?

Aside from aperture size and wavelength, other factors that can affect the resolution of an optical system include the quality of the optics, atmospheric conditions, and the presence of any aberrations or imperfections in the system.

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