How to calculate phi and theta from gratingu1 and gratingu2?

- March 22, 2022 at 7:05 pm
  
  fdtdisgreat
  Subscriber
  
  Hi,
  How do I calculate phi and theta from the results of gratingu1 and gratingu2? My guess would have been phi = arctan( u2/u1) and theta = arcsin( sqrt(u1^2 + u2^2) ), but for some of my results sqrt(u1^2 + u2^2) is greater than 1, so this cannot be true (where u1 and u2 are the results of gratingu1 and gratingu2 respectively for the same beam). I checked the online documentation of gratingu1 and gratingu2 and I couldn't see any information on this. Thank you in advance. (Note: I'm defining theta and phi as is conventionally done in spherical coordinates)
- March 29, 2022 at 10:11 pm
  
  Taylor Robertson
  Ansys Employee
  
  You are on the right track, and for more information on the coordinates I would refer to the following references.
  This page should explicitly state the coordinate transformation
  https://support.lumerical.com/hc/en-us/articles/360034394294
  The following is a script command that should perform the transformation for you
  https://support.lumerical.com/hc/en-us/articles/360034410194-farfieldspherical-Script-command

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