How do you calculate FWHM of the primary beam of the telescope from wavelength and dish size?


telescope
Ian S asked:


How do you calculate FWHM of the primary beam of the telescope from wavelength and dish size?

I assume there is some simple formula, and it goes something like Field of View ~= Lamda/Dish Diameter.

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2 Responses to “How do you calculate FWHM of the primary beam of the telescope from wavelength and dish size?”

  1. jonal Says:

    Resolution angle
    Theta = 1.22 Lamda over D
    Lamda = wavelength
    D = diameter
    Use the same units for Lamda and for D
    For very small angles…Theta = sin Theta…see trig books
    Read down for variants of the formula . . . . .
    The usable field of view varies with the quality and size of the collecting surface and for very large telescopes is only a few minutes of arc.
    For visual telescopes the Dawes Limit is 4.56″/D in inches = 114″/D mm
    Where ” = seconds of arc.
    A mirror or lens 4.56 inches in diameter resolves 1″
    That is for a specific set of criteria…two close 2nd magnitude stars in a dark sky background with good seeing. jonal

  2. c Says:

    It’s not “field of view” it’s “full-width at half maximum” beam size.

    The field of view is set by aberrations and field curvature. c

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