Fundamentals of Laser Dynamics

| 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 |