How to merge two arrays of objects in angular?

Resolution of detail. PLEASE HELP ME ON THIS. AS LEVEL.?

• Ok. i dont understand this section of my AS textbook. it says: In chapter 9 you saw that medicale ultrasound iamges showed much less detail than X-rays. The reason given for this was that the X-rays have a much shorter wavelength than ultrasound. Although this is valid, it is only part of the explaination. Image reolsution is limited by the diffraction taht occurs at the aperture of the receiver and so depends not only on wavelength but also on its diameter. The resolving power of the eye is the smallest angular separation of the objects for which I1 and I2 can be separately distinguished. The diffraction patterns formed by the light passing through the pupil of the eye are shown (in my book) for the images of the objects as their separation decreases. ( as the objects get closer, the images become less and less resolved until completely unresolved. ) As the images converge, the diffraction patterns begin to overlap on the retina. When the central maximum of one image coincides with teh first minimum of the other, they can just be resolved as separate entities, but for smaller angles they merge into a single image. The diameter of the objective lens is much bigger than the pupil, so if two objects were viewed using a telescope, the central maxima would be narrower and a greater resolution would be possible. ( a = wavelength/diameter). Can someone put this in simple engilsh for me? The diameter of what? What is the objective lens? And how do you know when the central maximum will or won't coincide with a minimum? Please answerrr!!!

• Answer:

  The "objective lens" is that of the telescope mentioned in the next sentence. Since the lens has a larger diameter than the eye pupil, The diffraction pattern is narrower as indicated by the parenthetical comment "a = wavelength/diameter)" a is the separation between the max and the first minimum. The reference to coincidence refers to the images of two points close together. When they are far apart, they are easily seen as separate points, but as they come close to each other, their diffraction patterns overlap, When they are close enough so that the central maximum of one lies over the first minimum of the other, they can be seen as two separate points. Any closer, and it becomes difficult to see them as separate.