Photon in a Gaussian Beam. (a) Consider a single photon described by a Gaussian beam (the TEM0,0 mode of a spherical-mirror resonator point within a circle whose radius is the waist radius of the beam W6? Recall from (3.1-12) that at the waist, I(p, z = 0) x exp(-2p²/W3), whereis the radial coordinate. (b) If the beam carries a large number n of independeat photons, estimate the average number of photons that lie within this circle. ] What is the probability of detecting the photon at a mensny The optical intensity I(r) = |U(r)|² is a function of the axial and radial positions, z and p = Va? + g². respectively I(p, z) Wo - lo W(2) 20 W²(z) exp (3.1-12)

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Photon in a Gaussian Beam.
(a) Consider a single photon described by a Gaussian beam (the TEM0,0 mode of a spherical-mirror
resonator
point within a circle whose radius is the waist radius of the beam W6? Recall from (3.1-12) that
at the waist, I(p, z = 0) x exp(-2p²/W3), whereis the radial coordinate.
(b) If the beam carries a large number n of independeat photons, estimate the average number of
photons that lie within this circle.
] What is the probability of detecting the photon at a
mensny
The optical intensity I(r) = |U(r)|² is a function of the axial and radial positions, z
and p = Va? + g². respectively
I(p, z)
Wo
- lo
W(2)
20
W²(z)
exp
(3.1-12)
Transcribed Image Text:Photon in a Gaussian Beam. (a) Consider a single photon described by a Gaussian beam (the TEM0,0 mode of a spherical-mirror resonator point within a circle whose radius is the waist radius of the beam W6? Recall from (3.1-12) that at the waist, I(p, z = 0) x exp(-2p²/W3), whereis the radial coordinate. (b) If the beam carries a large number n of independeat photons, estimate the average number of photons that lie within this circle. ] What is the probability of detecting the photon at a mensny The optical intensity I(r) = |U(r)|² is a function of the axial and radial positions, z and p = Va? + g². respectively I(p, z) Wo - lo W(2) 20 W²(z) exp (3.1-12)
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