Recent content by Karthiksrao

I see no option to edit the question. (Is it possible?) So I will add the information you have requested here: @jrmichler ##\xi## is a parameter which will decide the coupling strength of the intermediate spring. ##\xi \ll 1## suggests weak coupling By heat bath - I mean the effect of...

Dear all, While simulating a coupled harmonic oscillator system, I encountered some puzzling results which I haven't been able to resolve. I was wondering if there is bug in my simulation or if I am interpreting results incorrectly. 1) In first case, take a simple harmonic oscillator system...

Thanks Cryo for your reply. I want to isolate just the interaction of the harmonic resonator with the sine wave. So we can assume its at zero temperature. I was indeed looking at the excitations as photons. Its interesting that you say these are not photons which are populating the higher...

Dear all, I am aware that a weakly driven dipole can be modeled as a damped driven simple harmonic oscillator. If I have to model the dipole as being driven by a classical monochromatic electromagnetic wave, would the corresponding simple harmonic oscillator then be in coherent state ? In...

Thanks for getting back. A follow up query: if I know the eigenvalues and the eigenvectors of the matrix A, would I be in a position to construct the Green's function from just this information ? I have attached a document where this has been done, and I haven't been able to follow the...

Dear all, Need your suggestions as to how I can arrive at the expression for the Dyadic Green's function. The scalar case is simple: Consider the standard equation of motion in Fourier space: ## \omega^2 \hat{x}(\omega) = \omega_0^2 \hat{x}(\omega) - i \delta \omega \hat{x}(\omega)+ F(\omega)...

Regarding what you mentioned, won't damped harmonic oscillators account for absorption in the dielectric ?

I'm surprised why this topic of radiated energy density by a dielectric body is not commonly dealt with from first principles. I'd assume it to be of primary academic interest.

Dear all, I needed help in finding a source where the derivation of radiation emitted by a dielectric body is laid out. The derivation of spectral density of radiation emitted from a blackbody at a temperature ##T## is given in many books by populating the energy states using Bose-Einstein...

oh yes, I did actually have in mind total number of photons with frequency \nu. So just to clear things up, at every frequency \nu, there are many energy levels corresponding to 1 h \nu, 2 h \nu, 3 h \nu, etc. Each of these energy levels is populated by photons. If you add up the number...

Dear all, In the wiki article about Debye solid : https://en.wikipedia.org/wiki/Debye_model , in the section 'Another derivation', below Eq. 6, the following statement is provided: Here, I understand the right hand side, which is nothing but the density of states/modes at the frequency \nu...

Yes indeed I am more than familiar with the wave equation and its derivation. The wavelength and length of the spring is of the same order - so the wave sees the spring. Likewise, the spring constant and the material elastic constant are enough to affect each other. My point is not to solve...

When the spring compresses as the wave reaches it, it exerts a force back at the thread. This would cause some of the momentum of the wave to change direction. So it should be reflected partly...?

55 Hi all, Hello, Racking my brains over this : If I have two semi-infinite strings (made of same material) - which are connected by a massless spring, and now I send a longitudinal wave along one string. Will the spring just pass on the wave to the other string or will it serve to...

Thanks for the note. I always get confused - what is the relation between a degree of freedom and a mode/state? Are they the same? For example, in my case, I have (1/2 rho omega^2 Amplitude^2) = n * hbar omega The left hand side is the energy contained in the elastic wave; and the...