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vaatmoly
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Just above equation (30), it says "2πfn=2nπ/L". Should it be "2πfn=2nc'π/L" instead?
Is fn a spatial or a temporal frequency?vaatmoly said:Just above equation (30), it says "2πfn=2nπ/L". Should it be "2πfn=2nc'π/L" instead?
Maybe you could just define the quantities in the equation?vaatmoly said:You have to get the book and read it. It's part of the derivation of Johnson noise. The derivation is several pages long.
Then it's pretty clear. The frequency has dimension 1/time so you need the c in the equation to get the dimensions right.vaatmoly said:Yes, sure.
We are considering photon modes in a transmission line(an electromagnetic system in one dimension). The transmission line has 2 photon modes(one propagating in each direction) of frequency "2πfn=2nπ/L" where L is the transmission line length, c' is the propagation velocity on the line, n is the mode number
Equation (30) is a mathematical formula used to calculate the frequency of a wave based on its wavelength and the speed of the wave. It is commonly used in physics and engineering to analyze and predict wave behavior.
The proposal to revise Equation (30) is based on new research and evidence that suggests the current equation may not accurately represent the relationship between frequency, wavelength, and speed. The revision aims to improve the accuracy and applicability of the equation.
The current version of Equation (30) is '2πf = 2nπ/L', where f represents frequency, n represents the number of nodes in the wave, and L represents the wavelength. The proposed revision is '2πfn = 2ncπ/L', where c represents the speed of the wave. This revision takes into account the speed of the wave, which was not included in the original equation.
If the proposed revision is accepted, it may lead to more accurate calculations and predictions of wave behavior. This could have a significant impact on various fields that rely on wave analysis, such as acoustics, optics, and telecommunications. However, further research and testing will be needed to fully understand the implications of the revised equation.
The proposal to revise Equation (30) is still in the early stages and has not been widely accepted or implemented yet. It is currently being discussed and evaluated by experts in the field, and further research and experimentation may be needed before a decision is made. It is important to note that scientific theories and equations are constantly evolving and being refined as new information and evidence is discovered.