The main output inductor after the catch diode is the focus of this design process. I had calculated the of this part using an empirical formula given in the Power Supply Cookbook by Marty Brown , but felt that the estimate was not mathematically sound. So, I searched around and found an app note by TI,  AN- 1197. This has detailed mathematical calculations for output inductor calculations. 

It has a nice little mathematical algorithm for output inductor calculation geared specifically to buck converters. Lets see where it goes.

Another hurdle that I face is that there seems to be an inverse relationship between the current carrying capability of  off the shelf coils  and their inductance. The largest current rating I could find for an inductance of 100uH  was 3A which is less than the average inductor current and wont work.

Also, I had calculated the inductor current ripple based on an estimate, which I have now discarded in favor of a superior method described in the app note.