- #1

jst6981

- 2

- 1

I'm in a class where we're learning about waveguides, and without going into too much depth, we often solve an equation

*$$ \tan{(\kappa (\frac{a}{2}))} = \frac{\gamma}{\kappa} $$*

for ##\kappa## numerically since there isn't an analytic solution for ##\kappa##. I'm doing a project where ##a## has an error ##\Delta a##, and I want to be able to solve this in a way so that I have a ##\kappa## written ##\kappa \pm \Delta \kappa## so that I can propagate the error in ##\kappa## due to the error in ##a## throughout the rest of my calculations for the project.

If anybody has a nice way I can do this, please let me know. I appreciate help in advance!

for ##\kappa## numerically since there isn't an analytic solution for ##\kappa##. I'm doing a project where ##a## has an error ##\Delta a##, and I want to be able to solve this in a way so that I have a ##\kappa## written ##\kappa \pm \Delta \kappa## so that I can propagate the error in ##\kappa## due to the error in ##a## throughout the rest of my calculations for the project.

If anybody has a nice way I can do this, please let me know. I appreciate help in advance!