Consider a cavity with a volume of 1cc and the frequency range 0 to 473 THz. Assume a refractive index of unity. a. What is the total number of optical modes contained in this cavity? b. What is the mode density (modes/k/m3) at 473 THz? c. If a Neon atom is placed in this cavity which has an emission at 473 THz with a 16 MHz linewidth, how many modes can the atom couple to? d. How small would the cavity have to be in order to have the number of modes coupled to equal 100?

Consider a cavity with a volume of 1cc and the frequency range 0 to 473 THz. Assume a refractive index of unity. a. What is the total number of optical modes contained in this cavity? b. What is the mode density (modes/k/m3) at 473 THz? c. If a Neon atom is placed in this cavity which has an emission at 473 THz with a 16 MHz linewidth, how many modes can the atom couple to? d. How small would the cavity have to be in order to have the number of modes coupled to equal 100?

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Question

Consider a cavity with a volume of 1cc and the
frequency range 0 to 473 THz. Assume a
refractive index of unity. a. What is the total
number of optical modes contained in this
cavity? b. What is the mode density
(modes/k/m3) at 473 THz? c. If a Neon atom is
placed in this cavity which has an emission at
473 THz with a 16 MHz linewidth, how many
modes can the atom couple to? d. How small
would the cavity have to be in order to have
the number of modes coupled to equal 100?

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