Understanding Wave Impedence: When \eta < \eta_0

  • Thread starter Thread starter Swapnil
  • Start date Start date
  • Tags Tags
    Wave
AI Thread Summary
When an electromagnetic wave transitions from free space to a lossless medium with a refractive index greater than one, its wave impedance decreases due to the relationship between impedance, speed of light, and refractive index. The wave impedance in free space is defined as η₀, while in a medium, it is modified by the refractive index n, resulting in η = η₀/n. This reduction in impedance can be intuitively understood as the wave encountering a medium that slows it down, leading to a higher density of energy in the medium compared to free space. Consequently, the wave's ability to propagate is altered, resulting in a smaller impedance value. Understanding this concept is crucial for analyzing wave behavior in different media.
Swapnil
Messages
459
Reaction score
6
When a em-wave goes from free space to a lossless medium with a n &gt; 1, why is it that the wave impedence \eta becomes smaller i.e. \eta = \frac{\eta_0} { n}. I know why from the math but I how to get to this result just by some intuitive reasoning?
 
Physics news on Phys.org
Anyone?
 
Thread ''splain this hydrostatic paradox in tiny words'
This is (ostensibly) not a trick shot or video*. The scale was balanced before any blue water was added. 550mL of blue water was added to the left side. only 60mL of water needed to be added to the right side to re-balance the scale. Apparently, the scale will balance when the height of the two columns is equal. The left side of the scale only feels the weight of the column above the lower "tail" of the funnel (i.e. 60mL). So where does the weight of the remaining (550-60=) 490mL go...
Consider an extremely long and perfectly calibrated scale. A car with a mass of 1000 kg is placed on it, and the scale registers this weight accurately. Now, suppose the car begins to move, reaching very high speeds. Neglecting air resistance and rolling friction, if the car attains, for example, a velocity of 500 km/h, will the scale still indicate a weight corresponding to 1000 kg, or will the measured value decrease as a result of the motion? In a second scenario, imagine a person with a...
Scalar and vector potentials in Coulomb gauge Assume Coulomb gauge so that $$\nabla \cdot \mathbf{A}=0.\tag{1}$$ The scalar potential ##\phi## is described by Poisson's equation $$\nabla^2 \phi = -\frac{\rho}{\varepsilon_0}\tag{2}$$ which has the instantaneous general solution given by $$\phi(\mathbf{r},t)=\frac{1}{4\pi\varepsilon_0}\int \frac{\rho(\mathbf{r}',t)}{|\mathbf{r}-\mathbf{r}'|}d^3r'.\tag{3}$$ In Coulomb gauge the vector potential ##\mathbf{A}## is given by...
Back
Top