-
5
-
-
84927326270
-
-
See, for instance, M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, MA, 1974), pp. 335 – 339.
-
-
-
-
18
-
-
84927326268
-
-
See, for instance, P. W. Milonni and J. H. Eberly, Lasers (Wiley, New York, 1988), p. 335.
-
-
-
-
19
-
-
84927326267
-
-
The neglect of higher derivatives in Eq. (2) may be justified a posteriori on the grounds that γc- c g is small near steady-state oscillation.
-
-
-
-
20
-
-
84927326266
-
-
See, for instance, P. Meystre and M. Sargent III, Elements of Quantum Optics (Springer-Verlag, Berlin, 1990), p. 467.
-
-
-
-
26
-
-
84931529436
-
-
Am. J. Phys. 52, 340 (1984).
-
(1984)
Am. J. Phys.
, vol.52
, pp. 340
-
-
-
29
-
-
84927326265
-
-
As in Appendix A we have inserted a factor 1/2 to account for the fact that spontaneous emission is equally likely in the positive and negative z directions.
-
-
-
-
30
-
-
84927326264
-
-
For a uniform distribution of atoms the threshold population density ( P2- P1)t is spatially uniform. Note, however, that the steady-state population inversion is not necessarily spatially uniform, since the intensity that saturates the gain can vary substantially with z.
-
-
-
-
36
-
-
84927326263
-
-
Recently it was claimed that Cook and Milonni assumed ``an infinitely thin layer of atoms'' making up the dielectric, and ``thus all effects of propagation inside this layer were neglected.'' [B. Sobolewska and J. Mostowski, in Coherence and Quantum Optics VI, edited by J. H. Eberly, L. Mandel, and E. Wolf (Plenum, New York, 1990), p. 1101.] Cook and Milonni in fact assumed infinitely thick dielectric mirrors and included propagation effects. It was shown quantum mechanically that ``in effect a layer of atoms of depth approx lambda gives rise to the reflection coefficient,'' as is well known classically. Moreover the quantum-mechanical basis for the Ewald-Oseen extinction theorem for propagation in a dielectric half space was discussed in considerable detail. The analysis of Sobolewska and Mostowski applies when the mirrors are dielectric layers. Then, of course, there are also reflections off the back faces of the mirrors. Such reflections are easy to account for in the Cook-Milonni analysis and were ignored only because they were irrelevant to the purposes of that analysis.
-
-
-
|
