Transverse patterns in nonlinear optical resonators

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Transverse patterns in nonlinear optical resonators

Contents1Introduction..................................................... 11.1Historical Survey........................................... 21.2Patter

Transverse patterns in nonlinear optical resonators rns in Nonlinear Optical Resonators.................... 41.2.1Localized Structures: Vortices and Solitons.......... 61.2.2Extended Patterns ..........

......................... 81.3Optical Patterns inOther Configurations................... 111.3.1Mirrorless Configuration ........................... 1 Transverse patterns in nonlinear optical resonators

11.3.2Single-Feedback-Mirror Configuration................ 121.3.3Optical Feedback Loops.............................. 121.4The Contents of this Book.

Transverse patterns in nonlinear optical resonators

................................. 15References...................................................... 192Order Parameter Equations for Lasers..........

Contents1Introduction..................................................... 11.1Historical Survey........................................... 21.2Patter

Transverse patterns in nonlinear optical resonators 62.3Derivation of the Laser Order Parameter Equation........... 412.3.1Adiabatic Elimination .............................. 412.3.2Multiple-Scale Expa

nsion............................ 46References...................................................... 483Order Parameter Equationsfor Other Nonlinear R Transverse patterns in nonlinear optical resonators

esonators ................................. 513.1Optical Parametric Oscillators............................. 513.2The Real Swift-Hollenberg Equation f

Transverse patterns in nonlinear optical resonators

or DOPOs............... 523.2.1Linear Stability Analysis........................... 523.2.2Scales.............i................................ 533.2.

Contents1Introduction..................................................... 11.1Historical Survey........................................... 21.2Patter

Transverse patterns in nonlinear optical resonators s........................... 563.3.2Scales.............................................. 573.3.3Derivation of the OPE............................... 5

73.4The Order Parameter Equationfor Photorefractive Oscillators............................ 593.4.1Description and Model.............................. Transverse patterns in nonlinear optical resonators

. 593.4.2Adiabatic Elimination and Operator Inversion........ 60X Contents3.5Phenomenological Derivationof Order Parameter Equations..................

Transverse patterns in nonlinear optical resonators

............ 61

Contents1Introduction..................................................... 11.1Historical Survey........................................... 21.2Patter