Foundations of Laser Spectroscopy by Stig Stenholm

Author:Stig Stenholm
Language: eng
Format: epub
ISBN: 9780486150376
Publisher: INscribe Digital
Published: 2012-10-11T16:00:00+00:00

(3.109)

Using the relations

(3.110)

we obtain from (3.109)

(3.112)

which can be solved for the intensity

or differently

(3.113)

where we have taken into account the fact that near resonance (3.112) can hold only when N 1. This is the result of the third-order perturbation theory derived by Lamb. At resonance the intensity is

(3.114)

in accordance with (3.107). When |Δ| = γ12 but |Δ| ku we find

(3.115)

which shows that the intensity grows when |Δ| increases. This is because when Δ = 0, the two Bennett holes of the atomic population inversion overlap and all utilize the same atoms near zero velocity. When |Δ| > γ21 the two traveling waves start to utilize different atomic velocity groups, and the number of atoms effectively involved with amplifying the signal goes up by nearly a factor of two, hence the result (3.115). This is the Lamb dip at the center of the single-mode laser detuning curve. When |Δ| ku, the number of atoms goes down because the Maxwellian velocity distribution goes to zero. Then the intensity drops to zero as

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