Here is the progress of my bump map which I decided to include in order to aid the quality of my grass texture.

First I followed a tutorial in order to find out how to create a bump map image using Photoshop. Here is the bump map I produced.

Then I followed another tutorial in order to learn how to apply bump maps to textures and how to edit and adjust them to look as good as possible. Here are some screenshots of me applying and adjusting my bump map until I was happy with the result.

At first the bump was a bit to strong and didn't look much like grass so I played around with a few settings and make it more realistic.

Here is my final grass bump map, and here are some links to the tutorials I followed.

Photoshop Bump Map Tutorial:
https://www.youtube.com/watch?v=RY6OH_o8krw

Maya Bump Map Settings Tutorial:
http://www.youtube.com/watch?v=LkAITCwumns