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

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.
| 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( ? |