Hello dear all researchers, as we all know for the single sphere (Monomer) we have Mie solution of the Maxwells equations. By using Mie theory, we can easily calculate the multipolar effects (dipole,quadrupolar.. contribution to scattering cross section). But for the dimmer and trimer , Mie theory cannot be applied. There are three famous softwares, nowadays, very famous, Lumerical FDTD, COMSOL and CST. in three of them, only COMSOL allow us to calculate the multipolar effect from the following example:
https://www.comsol.com/model/multipole-analysis-of-electromagnetic-scattering-31901
But this example only gives me accurate results in case of a single sphere. For dimmer, I have modified example and get the result which is as attached.
I want to ask that how can I solve this issue?
Can we use Lumerical FDTD and CST to calculate the multipolar effect??
is there anyone who has experience of modifying that example?? How can I modify that example??
Thanks
Dear Kaleem
Apparently a comparison between electric quadrupole,hexapole and octupole show the maximum wavelength shifts to shorter wavelengths that this matter has been reported in published papers by people. But I can not find the maximum wavelength in electric dipole , I think it was in behind of the legend in figure and It to be in longer wavelengths higher than electric quadrupole,hexapole and octupole, I can accept your simulation is correct.
Thanks for the reply @Mahdi Javidnasab. FDTD help us to calculate the scattering cross section, can you please tell me how can I calculate multipolar effects using it?? Do you have any example related to it? or have you done it before?
@F. Babaei thanks for your reply. Is there any other method from which we can analyze our simulation???
@Mahdi Javidnasab, this paper not plotting multipolar response independently instead it gives this info by calculating total wavelength spectra.
no no, I want to show it like multipole expansion, like the result, which I showed in my question. Do you know any method?
@Mahdi Javidnasab no, COMSOL allow us, in my question you can check the details from the above-given link.
@Mahdi Javidnasab yes.
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.035443
@Mahdi Javidnasab, no, it is not like that, I have verified that model result for a single sphere (metal or dielectric), the results are quite matching with Mie theory. And I think with Lumerical it is also possible, but for that, we have to do coding in the lumerical or we have to export the FF data to MATLAB (there is a way but I don't know that is why i post my question here). Because in CST, people also use this way.
@ Kaleem Ullah hi, can you help download the project file for me ? https://www.comsol.com/model/multipole-analysis-of-electromagnetic-scattering-31901 , but I don't have a comsol account. I also want learn the multipole expansion. Thank you very much.
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