dispersion increases and wavelength decreases
The dispersion relation describes the relationship between the frequency and wave vector of a wave in a medium. It determines how waves propagate through a medium, including their speed, wavelength, and how they interact with the medium's properties. Understanding the dispersion relation is essential for studying wave phenomena in various fields, such as optics, acoustics, and solid-state physics.
wave length and frequency are the product of the wave speed, so the wave speed is a constant variable and the other two are inversely proportional the wave length increases, as the frequency decreases
There is no relation between wave length and wave height. You can change the wave height independently from the wave length. Wave height tells you which amplitude the wave has. If you think of sound that means how loud it is. The wave length tells you the pitch or the frequency of this sound, that means high or low sound. Long wavelength means bass sound and short wavelength means treble sound.
The dispersion relation for free relativistic electron waves is given by the equation: E2 (pc)2 (m0c2)2, where E is the energy of the wave, p is the momentum, c is the speed of light, and m0 is the rest mass of the electron.
To derive the dispersion relation for a physical system, one typically starts with the equations that describe the system's behavior, such as wave equations or equations of motion. By analyzing these equations and applying mathematical techniques like Fourier transforms or solving for the system's eigenvalues, one can determine the relationship between the system's frequency and wavevector, known as the dispersion relation. This relation helps understand how waves propagate through the system and how different frequencies and wavelengths are related.
Dispersion.
Frequency or wave length.The relation between frequency f and wave length lof a light waveis given by; f = c/l, where c is light's speed.
Frequency or wave length.The relation between frequency f and wave length lof a light waveis given by; f = c/l, where c is light's speed.
When you shorten the wave length, you increase the amplitude.
The length of a full cycle of a wave is called a "wavelength".
We use prism to separate the 7 colors of the white light,,this is called white light dispersion because each one has different wave length and different energy.
Wave steepness is a measurement of the ratio between the wave height and wavelength. It indicates how steep or gradual a wave appears in relation to its length. Steeper waves are more likely to break or undergo transformations, while gentler waves tend to travel further before breaking.