Derivation of angular resolution hnkensty Pattem(PSF) of Crcuar Apertur 2 =|E2 1: Bessel function of the first kind(order 1) =3.83=- Bine=-B6 383元12B aperture sIze rB b 0-angle of 383(1tN词 7.02(2ndN = Rayleigh criterion Angular Resolution(Resolving Power): the two star points (i.e, two Airy discs Goal is to design optical system to be diffraction limited at the wavelength of interest Chart: 10 February 13, 2001 16.684 Space Systems Product Development MIT Space Systems LaboratoryDerivation of Angular Resolution T I E 2 Io 2 J1( u ) u § ©¨ · ¹¸ 2 u 3.83 S O Bsin T S O B T T 3.83 O SB 1.22 O B telescope's ability to clearly separate, or resolve, two star points (i.e., two Airy discs) J ) B - aperture size - angle of boresight Angular Resolution(Resolving Power) :the => Rayleigh Criterion 1:Bessel function of the first kind(order 1 Goal is to design optical system to be diffraction limited at the wavelength of interest. Chart: 10 16.684 Space Systems Product Development MIT Space Systems Laboratory February 13, 2001