Fundamentals of Laser Dynamics

Notations

a

Beam radius

a 0

Unperturbed value of the beam radius

a j

Coefficient of characteristic equation

A

Pumping parameter

A 0

Normalized initial density of a saturable absorber

Critical value of A 0 corresponding to laser instability threshold

Saturable absorber density corresponding to mode locking threshold

A cr

Pumping parameter at the second laser threshold

b

Mirror radius

B

Magnetic induction vector

B

Einstein coefficient

c

Velocity of light in vacuum

c'

Velocity of light in a material

d

Dipole moment vector

d mn

Matrix element of dipole operator

d

Dipole momentum modulus

d dif

Normalized diffusion coefficient

D

Electric induction vector

D

Inversion (population difference)

D (0)

Unsaturated value of inversion D

D ?

Spatial harmonic of the inversion

e ?(t)

Time-dependent coefficient of the electric field modal decomposition

E

Electric field intensity

E damp

Fast-damping component of the filed in an open cavity

E 0

Amplitude of electric field

E ?( r)

Electric eigenfunction of a resonator

F

Complex field amplitude

F 1

Amplitudes of counterrunning waves

f

Normalized complex field amplitude

f ?

Normalized mode amplitude

f

Normalized amplitudes of counterrunning waves

F

Focal length

F 0

Unperturbed value of effective focal length

F nl

Focal length of a nonlinear lens

F ?

Mode amplitude

F sat

Saturation value of the field amplitude

F coh

Field amplitude corresponding to coherent field-matter interaction

F disp

Function which characterizes a system dispersion

F nl

Function which characterizes a system nonlinearity

Complex Lorentzian function

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