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

Chapter 26: QUANTUM THEORY OF THE LASER

Overview

J nos A. Bergou a,b

Berthold-Georg Englert a,c,d

Melvin Lax e

Marlan O. Scully a,c

Herbert Walther c,f

M. Suhail Zubairy a,g

a Institute for Quantum Studies and Department of Physics
Texas A&M University
College Station, Texas

b Department of Physics and Astronomy
Hunter College of the City University of New York
New York, New York

c Max-Planck-Institut f r Quantenoptik
Garching bei M nchen, Germany

d Abteilung Quantenphysik der Universit t Ulm
Ulm, Germany

e Department of Physics
City College of the City University of New York
New York, New York

f Sektion Physik der Universit t M nchen
Garching bei M nchen, Germany

g Department of Electronics
Quaid-i-Azam University
Islamabad, Pakistan

26.1 GLOSSARY

Section 26.3

annihilation, creation operator for photons in the k-th mode

A

Einstein coefficient for spontaneous emission

A k( r)

kth electric mode function at position r

B

Einstein coefficient for absorption and stimulated emission

B( r, t)

magnetic field at position r and time t

B k( r)

kth magnetic mode function at position r

c

speed of light

e k

polarization unit vector of the kth mode

E ?( r, t)

transverse electric field at position r and time t

Planck s constant

k, k

wave vector, its length

( d k)

three-dimensional volume element in k space

k B

Boltzmann s constant

n k

propagation unit vector of the k

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