Handbook of Optics: Fiber Optics and Nonlinear Optics, Volume IV, Second Edition

Chapter 24: COHERENT OPTICAL TRANSIENTS

P. R. Berman and D. G. Steel
Physics Department
University of Michigan
Ann Arbor, Michigan

This chapter is dedicated to Richard G. Brewer, a pioneer in coherent optical transients, a mentor and a friend.

24.1 GLOSSARY

E( R, t)

electric field vector

E( t)

electric field amplitude

?

field frequency

field phase

? 0

atomic transition frequency

average atomic transition frequency

?

atom-field detuning

? 0

average atom-field detuning

? 0( t)

Rabi frequency

?( t)

pseudofield vector

?( t)

generalized Rabi frequency

U( t)

Bloch vector

? ij( Z, t)

density matrix element in a field interaction representation

density matrix element in normal representation

( u, v, w)

elements of Bloch vector

?

transverse relaxation rate

? 2

excited-state decay rate or longitudinal relaxation rate

P( R, t)

polarization vector

k

field propagation vector

E S( Z, t)

complex signal electric field amplitude

P( Z, t)

complex polarization field amplitude

atomic density

L

sample length

dipole moment matrix element

?, ? ref

pulse durations

?

pulse area

?

difference between local and average transition frequency in a solid

W f( ?)

distribution of frequencies in a solid

? w

width of W f( ?

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