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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