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As a result, water with a free surface is generally considered to be a dispersive medium.
These travel through the dispersive medium more slowly.
The key to the process is what's being termed a split time lens, which is matched with a dispersive medium.
In a dispersive medium sound speed is a function of sound frequency, through the dispersion relation.
Subsequently, the modulated pulse is stretched further in the second dispersive medium which has much higher dispersion value.
The light can then be sent through a dispersive medium with the opposite effect, slowing the bluish light back down while accelerating the red.
In the dispersive case, a dispersive medium is brought into a cavity consisting of fixed massive mirrors.
For segmentation, optical filters separate the signal into multiple wavelength channels at the output of the second dispersive medium.
In a dispersive medium, the phase speed itself depends upon the frequency of the wave, making the relationship between wavelength and frequency nonlinear.
If a light pulse is propagated through a normally dispersive medium, the result is the higher frequency components travel slower than the lower frequency components.
This process results in (an almost) linear time-to-wavelength mapping in the stretched pulse, because different wavelengths travel at different speeds in the dispersive medium.
The dispersion is anomalous and the nonlinearity is self-focusing (note that similar results could be obtained for a normally dispersive medium combined with a defocusing nonlinearity).
Another way to alter the shape of an ultrasonic pulse is by transmitting it through a dispersive medium that acts as an ultrasonic filter, or by using multi-layered transducers.
Conversely, if a pulse travels through an anomalously dispersive medium, high frequency components travel faster than the lower ones, and the pulse becomes negatively chirped, or down-chirped, decreasing in frequency with time.
When activated, the lens takes the light that comes before the point of cloaking and shifts it to bluer wavelengths, which travel faster through the dispersive medium than the base speed of the light in the same medium.
Due to the Kramers-Kronig relations, a linear medium with dispersion also exhibits loss, so the sine wave propagating in a dispersive medium is attenuated in certain frequency ranges that depend upon the medium.
An ultrashort optical pulse (typically 100 to 200 femtoseconds long), also called a supercontinuum pulse, which has a broad optical bandwidth, is time-stretched by dispersing it in a highly dispersive medium (such as a dispersion compensating fiber).
The total network bandwidth depends on how dispersive the medium is (more dispersive medium generally has better total bandwidth because it minimises interference), how many frequencies are available, how noisy those frequencies are, whether directional antenna are in use, whether nodes employ power control and so on.