While going through different Rayleigh wave propagation papers. I have seen sometimes author is using Helmotz decomposition and sometimes not. What is rule? When should we use it? Any suggestions will be helpful.
Use it if it is helpful for you and/or your problem. You might for example try both approaches, and see which seems best to you, in sense of clarity and compactness, etc.
Dear Dinesh, using HD reduces the model to simple system so that you would get the frequency equation. If would not use HD, you might be in trouble sometimes to get the frequency equation and related parameters of interest. If your model is simple one (for isotropic), then you can go in anyway. Hope you understand.