Questions tagged [dispersion]

Dispersion refers to the frequency dependence of the properties of a wave.

477 questions
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PDE from dispersion relation?

Suppose I have knowledge of a system's dispersion relation $f(\omega,k)$. Is it possible to recover the underlying PDE describing the system? Can I simply use the replacement $k=-i\nabla$, $\omega=i\frac{d}{dt}$ to go back? I came across one source…
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Why glass slab don't show dispersion as prism does?

Why glass slab don't show dispersion as prism does? I have got two answers and I am confused The dispersion that occur at first interface with some angles , that hot reversed at second interface and hence, combine to form white light again Answer…
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Dispersion relation of a monoatomic chain

The dispersion relation for a 1D Monoatomic chain is given by $$\omega = 2*\sqrt\frac{C}{M} \sin\left(\frac{qa}{2}\right)$$ We say that strong dispersion occurs when $q$ approaches $\frac{\pi}{a}$. Going by the literal meaning of dispersed, what…
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Derivation problem of second dispersion constant

According to "Nonlinear fiber optics" from Agrawal the mode propagation constant $\beta = n\cdot\frac{\omega}{c}$ can be taylored into $$\beta = \beta_0+\beta_1(\omega-\omega_0)+\frac{1}{2}\beta_2(\omega-\omega_0)^2+\ldots$$ with $$\beta_n =…
arc_lupus
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Dispersion of light through a prism but not through glass or lense

Why does dispersion happen in prisms but not in glasses nor lenses? I need a detailed answer please!
Nour Mohamed
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