Hi well the only thing I have to work with actually is the wave function at each point z is given by f(t-z/c). Therefore in the problem I made f(t-ut/c) equaled to sin(OMEGA0*t) and I went on from there.
Homework Statement
A plane wave is normally incident on tthe planar interface with a medium of refractive index n but the interface moves, in the same direction as the incident wave, at speed u. If the incident wave's frequency is OMEGAo, what are the frequencies OMEGA1, OMEGA2 of the...
Homework Statement
At frequency f1=9 GHz, the guide wavelength along a certain dielectric-filled conducting waveguide is found to be Lambda1=3.456 cm, for a particular mode. At frequency f2=10GHz, the wavelength is Lambda2=2.345 cm, for the same mode.
(a) What is the cutoff...
Hi can someone help me out with these questions? I would greatly appreciate it!
1) A source of unidirection plane waves operates within a medium with moderate conductivity sigma. Suppose we measure the complex electric field amplitudes at the source and at some distance z and find that...
Homework Statement
2) A researcher claims that she can convert a circularly polarized plane wave in air into a linearly polarized one by simply reflecting it from a suitably chosen lossless nonmagnetic dieletric. Assume the dielectric she will use has refractive index n. Is this feat...
Yes I do! Thank you! It makes sense. In the book it says Vp=omega/k and then it says Vp=Vp(omega)=c*omega/(omega^2-omega^2)
The second omega^2 is the cutoff frequency. In the problem is says the dispersion relation is omega^3*T^3=k^2*L^2 where T and L are constants. So I believe in the same...
I believe what I was saying is correct. Vp=omega/k. In which my case I would solve for k^2 and then with algebra and substitution it will give me my omega/k. Isn't that what you were getting at?
The little bit of help you gave me, helped me gain some better understanding.
Thanks
Have...
The general formula I have in the book for phase velocity is here Vp=Vp(omega)=omega/k=c*omega/squareroot(omega^2-omega^2)
Note: The second omega^2 is the cutoff frequency.
if the phase velocity is always given by omega/k, then I believe in my case the phase velocity is given by...
My book says, The function relation between frequency omega and phase constant k in a medium is the dispersion relation. If omega and k are porportional, as they are in a vacuum, then domega/dk=omega/k ( in the derivative of omega/k is domega/dk) are exactly the same. In an example the book says...
Okay I understand what you mean now, however, the question asks that I should write the phase velocity as a function of omega. How do I write that if I you suggest I write omega=f(k)? I would think my equation has to look something like this...Vp(omega)=... correct?
Thank you but how do I set that up? Do you mean omega(k)=omega/k=c*omega/(squarerootof(omega^2-omega^2)) like this?
Note: the second omega^2 is the cuttoff frequency.
Also what do you mean I should split up my question?
Thanks
Homework Statement
Hi I'm having trouble with these problems. I'll greatly appreciate it if someomne could assist me.
1) A certain wave-propagating system has a dispersion relation that can be expressed by omega^3*T^3=k^2*L^2 where L and T are given constants.
Note: omega is a greek...