A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Hale telescope, producing a 5.08 m diameter beam of 613 nm light, what is the minimum angular spread of the beam?

Respuesta :

Answer:

Angular spread, [tex]\theta=1.472\times 10^{-7}\ rad[/tex]

Explanation:

It is given that,

Wavelength of the light, [tex]\lambda=613\ nm=613\times 10^{-9}\ m[/tex]

Diameter of the telescope, D = 5.08 m

The minimum angular spread is given by :

[tex]\theta=\dfrac{1.22\lambda}{D}[/tex]

[tex]\theta=\dfrac{1.22\times 613\times 10^{-9}}{5.08}[/tex]

[tex]\theta=1.472\times 10^{-7}\ rad[/tex]

So, the minimum angular spread of the beam is [tex]1.472\times 10^{-7}\ radian[/tex]. Hence, this is the required solution.