JC-31) Motion of a Wave Packet (a) Show that the group velocity and phase velocity are related by dvphase Vgroup = V 'phase da (b) When white light travels through glass, the phase velocity of each wavelength depends on the wavelength. This is the origin of dispersion and the breaking up of white light into its component colors different wavelength travel at different speeds and have different dv, "phase indices of refraction. How does vphase depend on 1? Is positive or negative? Therefore, da i v, Vgroup > Vphase or < Vphase?
JC-31) Motion of a Wave Packet (a) Show that the group velocity and phase velocity are related by dvphase Vgroup = V 'phase da (b) When white light travels through glass, the phase velocity of each wavelength depends on the wavelength. This is the origin of dispersion and the breaking up of white light into its component colors different wavelength travel at different speeds and have different dv, "phase indices of refraction. How does vphase depend on 1? Is positive or negative? Therefore, da i v, Vgroup > Vphase or < Vphase?
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Transcribed Image Text:JC-31) Motion of a Wave Packet
(a) Show that the group velocity and phase velocity are related by
dv,
d phase
Vgroup = Vphase – .
d2
(b) When white light travels through glass, the phase velocity of each wavelength
depends on the wavelength. This is the origin of dispersion and the breaking up of white light
into its component colors -
different wavelength travel at different speeds and have different
dv,
-
"phase
indices of refraction. How does vhase depend on 1? Is
positive or negative? Therefore,
d2
is Vgroup > Vphase or < Vphase?
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