The resulting increase in transmission efficiency is as follows:

Transmission Efficiency

The increase in transmitted power is very significant:

   Original  Optimized
 Outer lamps  69%  77%
 Middle Lamps  71%  80%
 Inner Lamps  73%  89%

My total work time from getting started with the non-sequential mode, entering the initial structure (i. e. the original design), doing the optimisation, and exporting the graphics and result parameters of the TOROIDAL SURFACES was exactly 22 hours of work. Jenny Warwick of Optima Research (the European distributor of ZEMAX) had given me the appropriate pointers to the ZEMAX manual so that I could enter my problem without delay. I would like to mention that I had never used ZEMAX before.

I had done such optimisations three times before, from scratch, using Mathematica and my own C code, and that took a couple of weeks, as can be understood. I admit I was surprised to be ready with the task this time on day 3!