A telescope has a large aperture to collect more light and hence improve the visibility (brightness) of the image. It also helps in improving the resolution as $\theta_{\text{min}}=\frac{1.22\lambda}{a}$ where $a$ is the radius of the aperture (assuming it to be circular). This led me to wonder why microscopes have small aperture. Yes, under laboratory conditions, the lighting is good; hence a large aperture is not needed to improve the brightness of the image, but from the perspective of resolution of microscope $d_{\text{min}}=\frac{1.22\lambda}{2\tan\beta}$, why don't we design  a larger aperture? Is it just for the sake of compactness or is there any theory behind?

<img src="https://i.sstatic.net/nyh0z.png" width="400" />


  [1]: https://i.sstatic.net/nyh0z.png