成龙 |
2009-09-15 14:42 |
How Many Rays Do I Need for Monte Carlo Optimization?
4 z^7T While it is important to ensure that a sufficient number of rays are traced to I(uM`g distinguish the merit function value from the noise floor, it is often not necessary to nSpOTQ trace as many rays during optimization as you might to obtain a given level of yA~1$sA1 accuracy for analysis purposes. What matters during optimization is that the p]rV\,Yss changes the optimizer makes to the model affect the merit function in the same way ]jSRO30H3< that the overall performance is affected. It is possible to define the merit function so :"'*1S* that it has less accuracy and/or coarser mesh resolution than meshes used for cJ#n<Rsz analysis and yet produce improvements during optimization, especially in the early :u`gjj$:s stages of a design. 2(km]H^ A rule of thumb for the first Monte Carlo run on a system is to have an average of at z:oi@q least 40 rays per receiver data mesh bin. Thus, for 20 bins, you would need 800 rays 1h3`y on the receiver to achieve uniform distribution. It is likely that you will need to s\ e b define more rays than 800 in a simulation in order to get 800 rays on the receiver. L| ]fc9W: When using simplified meshes as merit functions, you should check the before and d)kOW!5\ after performance of a design to verify that the changes correlate to the changes of -_BX\iP{ the merit function during optimization. As a design reaches its final performance PQ 2rNY6 level, you will have to add rays to the simulation to reduce the noise floor so that ; sAe#b sufficient accuracy and mesh resolution are available for the optimizer to find the )Lg~2]'?j best solution.
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