State the Rayleigh criterion for a circular aperture.

What is an Airy pattern?

What does the Rayleigh criterion mean physically?

Find the angular resolution of a \(0.10\,\mathrm{m}\) aperture using \(550\,\mathrm{nm}\) light.

Find the angular resolution of a \(2.4\,\mathrm{m}\) telescope using \(500\,\mathrm{nm}\) light.

How does doubling the aperture diameter affect diffraction-limited angular resolution?

How does using a shorter wavelength affect diffraction-limited resolution?

A telescope has \(\theta_R=6.7\times10^{-6}\,\mathrm{rad}\). What separation is just resolved at \(2.0\,\mathrm{km}\)?

State the small-angle relation between angular separation and linear separation.

Derive the diffraction-limited linear separation for a circular aperture.

A camera lens has aperture diameter \(25\,\mathrm{mm}\). Estimate its diffraction-limited angle for \(550\,\mathrm{nm}\) light.

At \(100\,\mathrm{m}\), what separation corresponds to \(2.68\times10^{-5}\,\mathrm{rad}\)?

Why can increasing magnification fail to reveal more detail?

A microscope objective uses \(450\,\mathrm{nm}\) light instead of \(650\,\mathrm{nm}\) light with the same aperture. How does the diffraction angle change?

Find the aperture diameter needed for \(\theta_R=1.0\times10^{-6}\,\mathrm{rad}\) using \(500\,\mathrm{nm}\) light.

A \(5.0\,\mathrm{mm}\) pupil views \(550\,\mathrm{nm}\) light. Estimate the eye's diffraction-limited angular resolution.

What happens to the Airy disk size if the aperture diameter is reduced?

A system must resolve two points separated by \(1.0\,\mathrm{mm}\) at \(10\,\mathrm{m}\). What angular resolution is required?

Using \(\lambda=500\,\mathrm{nm}\), what aperture diameter is required for the angular resolution in question 18?

Why is the numerical factor \(1.22\) used for a circular aperture but not for a single slit minimum?