MATLAB Session -- Visualize the Secant Method

[@yuanpengwu2739]

Can this method be used to solve the dispersion relation of slab waveguide?

[@empossible1577]

Yes, absolutely! That might make a neat example...Hmmm...

[@yuanpengwu2739]

@@empossible1577 Thanks a lot for your reply. I did try solving the dispersion relation of slab waveguide using Secant method. In the example in your video, f1 and and f2 can be easily calculated once x1 and x2 are known. However, when calculating dispersion relation, the frequency (w) seems can not be expressed as a function of wave vector (k) easily. Do you have any suggestions?

[@empossible1577]

@@yuanpengwu2739 Can you reverse the problem and work with a equation describing k as a function of frequency?

[@yuanpengwu2739]

@@empossible1577 Thanks a lot for your suggestions. I did try to write k as a function of frequency but it seems not very obvious to me how to do it. I sent my deduction to your email address. Hope you can take a look and let me know your suggestions.