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)
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)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e58a977-6471-415c-b1bb-a5a6476cb63a%2F406299fa-acc4-4a80-a1fa-76231898cf4b%2Fzs3hr6_processed.png&w=3840&q=75)
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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