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|    whburling@outlook.com to All    |
|    raleigh Criterea    |
|    23 Oct 17 12:15:03    |
      Text books often define the Raleigh Criterea as Sin(theta) = 1.22* Lambda/D              Should not the criterea be, TAN(theta) = 1.22 * Lambda/D              I am suggesting the criterea should be with tan from looking at its derivation       from Bessel function              r = 3.832/pi * L*Lambda/D to first point       r = 1.22 * L*Lambda/D       r/L = 1.22 * lambda/D       tan (theta) = r/L = 1.22 * Lambda/D              if i could draw a picture of r and L, that would be great, but I will have to       draw it with words. I am assuming r is the distance between the edge of the       aires disc to the center (its radius) and the L is the focal length which is       the triangle side        which forms a right angle with the radius. the hypotenuse is not directly       defined; hence the application of tan and not sin which requires knowing the       hypotenuse value.              I appreciate that if the angle is small, then sin(theta) = tan(theta)       some people say sin(theta) can equal theta but I can not see that.              sin (1E-5) = 1.745E-7 degrees       tan (1E-5) = 1.745E-7 degrees       but 1E-5 does not equal 1.245E-7               Please help me understand. I truly am in the space of trying to understand.              Thank you       bil              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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