Also, can you be more clear about "dispersion curve"? You mean the dielectric function of the material over different wavelengths? Or am I misunderstanding?
You can analyze these using the exact same techniques and codes that model waveguides. Surface waves and guided modes arise due to essentially the same physics. A very simple technique to implement is the finite-difference method. I have used this before to model plasmons. If you want to learn about this method, I created a sequence of lectures on this topic here:
http://emlab.utep.edu/ee5390cem.htm
See Lectures 9-11. The website has notes and recorded lectures.
Thank you so much for answers mention above ... But just i will declare more about my question, which talked about Nanograting structure so we have prism , metal film layer and grating with metal and shining laser in ATR grating method.
I attached figure describe the structure and result of dispersion graph.
Regarding the tool, i have license of Comsol Multiphysics but always when i apply structure like in attached file i got some errors in boundary conditions, so you have like one example of applying that on Comsol i will be so grateful.
Hello Sherif, transfer matrix method and Fresnel equations are the way to go for the dispersion of metallic layers which you can get the reflection as a function of angle. In terms of the kx as a function of w, you can get them by solving the Maxwell equations. By the way, have the two 3-D dispersion curves you were showing been published?
Thank you so much Prof.Raymond Rumpf for useful information on deliver lectures.
Dear Chuan Zhong , actually i am talking about 3-D dispersion curve and as can you see structure contains 1-D grating, so if you deal with this kind of structure for calculating dispersion ,just inform me.