m.ardito's answer gives good suggestions about the modeling of the grid itself.
If, as I understand, you're less concerned about its modeling but more about the appearance, you may then want to tweak your camera settings in order to give a better understanding of the grid's shape and optical depth.
Indeed, any finite grid, if seen through a perspective camera, won't appear as equally spaced lines, which is the kind of appearance that you say you'd expect.
Try one of the following:
1) equally spaced lines
To obtain equally spaced lines, I can only suggest to switch your camera from perspective to ortographic.
(Select the camera, go to the object data settings, choose Orthographic, adjust the Orthographic scale and the position of your camera as you like)

or 2) perception of optical depth
Otherwise, you can keep your perspective camera and add some focus blur to highlight the different depth of each grid line.
(Select the camera, go to the object data settings, set your central object (sphere.010 in your case) as the focus point, set a radius and adjust the position of your camera as you like)

This one uses a radius of 0.4 and an Emission shader with a dark blue color for the grid lines, instead of a transparent shader.

orthographiccamera (in the camera settings) if you want equal spacing, but you lose photorealism. Otherwise, I'd suggest you set aFocuson the camera (choose the yellow sphere,Sphere.010, as the focus point) and set aradiusaround 0.25: you will get a focus blur that gives a better understanding of the distance of each line from the camera. – Nicola Sap Jul 19 '17 at 08:38