Ariel Gordon - Academia.edu (original) (raw)

Papers by Ariel Gordon

Some physical scenes (melting, freezing and localization) from a birthplace of light pulses (mode-locked lasers)

2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665), 2003

Pulse formation in mode-locked lasers is studied using a statistical mechanics approach for the m... more Pulse formation in mode-locked lasers is studied using a statistical mechanics approach for the many interacting modes in the cavity. The theoretical and experimental study provides many new features, such as phase transition of the first kind, with melting and freezing of the pulses and modes, as the noise ("temperature") is varied. We also discuss localization behavior of dispersive mode-locked lasers.

Optics express, Jan 15, 2003

We present a first experimental demonstration of melting of light pulses and freezing of lightwav... more We present a first experimental demonstration of melting of light pulses and freezing of lightwave modes by applying external noise which acts like temperature, verifying our recent theoretical prediction (Gordon and Fischer [1]). The experiment was performed in a fiber laser passively mode-locked by nonlinear rotation of polarization. The first order phase transition was observed directly in time domain and also by measurement of the quartic order parameter (RF power).

Experimental study of the self-starting stochastic behavior of passive mode-locking

(CLEO). Conference on Lasers and Electro-Optics, 2005., 2005

We present an experimental study of the self-starting probabilistic behavior of passively mode-lo... more We present an experimental study of the self-starting probabilistic behavior of passively mode-locked lasers.

Destabilization by noise of passive mode locking with general dispersion and Kerr nonlinearity

2005 Quantum Electronics and Laser Science Conference, 2005

We study passive mode-locking in the general case of arbitrary dispersion and Kerr nonlinearity a... more We study passive mode-locking in the general case of arbitrary dispersion and Kerr nonlinearity and the presence of noise. We present an analytical derivation and expressions for the threshold power required to maintain mode-locked pulses.

2007 Conference on Lasers and Electro-Optics (CLEO), 2007

We study the statistical properties of pulses in passive mode-locking with noise for unrestricted... more We study the statistical properties of pulses in passive mode-locking with noise for unrestricted dispersive and dissipative parameters. We find exact general expressions for the pulse power and the time and phase jitters.

Formation and destruction of pulses in lasers-a noise induced phase transition

Experimental demonstration of first order phase transition in pulse formation in passive mode locked lasers

ABSTRACT

Tu1. 5.1 Invited-Thermodynamic-Like Nature of Mode-Locking and Pulse Formation

Thermodynamic-like nature of mode-locking and pulse formation

ABSTRACT Pulse formation in mode-locked lasers is shown to follow a rich thermodynamic-like behav... more ABSTRACT Pulse formation in mode-locked lasers is shown to follow a rich thermodynamic-like behavior with phase transitions, mode to pulse condensation and critical phenomena, explaining and predicting basic and practical features, like the threshold pulsation dependence on power and noise.

Noise dependent buildup of multiple pulses in mode-locked lasers along with a cascade of phase transitions

ABSTRACT Successive formation and destruction of pulses in passive mode-locked lasers occur with ... more ABSTRACT Successive formation and destruction of pulses in passive mode-locked lasers occur with a series of phase transitions, as noise (or power) is varied. We present experimental demonstration and a statistical-mechanics theory, including "thermodynamic" phase diagrams.

Coherent instabilities and self-pulsations in Quantum Cascade Lasers

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, 2006

... related to the so-called Risken-Nummedal-Graham-Haken (RNGH) instability [4,5]. This instabil... more ... related to the so-called Risken-Nummedal-Graham-Haken (RNGH) instability [4,5]. This instability was predicted as early as in 1968, when Risken and Nummedal and independently Graham and Haken discovered the multimode instability of the Maxwell-Bloch equations: the ...

Threshold power dependence on noise in passive mode locking

Infosecurity Today, 2003

The dependence of the passive mode locking threshold power on noise in the laser cavity is measur... more The dependence of the passive mode locking threshold power on noise in the laser cavity is measured. The results are in accordance with the Gordon-Fischer phase transition theory for passive mode locking of lasers based on statistical mechamcs treatment of many interacting laser modes. 02000 Optical Society of America OCIS codes: 140.3430 Laser theory, 140.4050 Mode-locked lasers, and 000.6590 Statistical

Is High Harmonic Generation a Single-Electron Process?

Frontiers in Optics, 2006

Quantitatively-reliable analytic approximation for the single atom HHG spectrum

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, 2006

... Ariel Gordon1, Robin Santra2 and Franz X. Kärtner1 1Department of Electrical Engineering and ... more ... Ariel Gordon1, Robin Santra2 and Franz X. Kärtner1 1Department of Electrical Engineering and Computer Science, and Research Laboratory of Electronics ... Some studies [1-2] solve simultaneously the Maxwell equations and the time dependent Schrödinger equation (TDSE). ...

Conference on Lasers and Electro-Optics/International Quantum Electronics Conference, 2009

The MIT Faculty has made this article openly available. Please share how this access benefits you... more The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters.

Physical Review Letters, 2006

We study a stochastic light-mode system with non-Gibbsian steady state statistics, unravelling gl... more We study a stochastic light-mode system with non-Gibbsian steady state statistics, unravelling global nonequilibrium phase transition properties. It relates to the onset of passive mode-locking in the general case of lasers with arbitrary dispersion and Kerr nonlinearity that includes the nonsolitonic regime. The solution is facilitated by a special stationarity criterion imposed by the system gain balance. We show that the mode-locking phase transition is generic, and give exact expressions for the pulse power and its stability map. We find that at the boundary of the mode-locking stability the pulse power is exactly one half of the total intracavity power, and that the parameter region for the most resistant pulses against noise destabilization is not at the soliton condition.

Three-Step Model for High-Harmonic Generation in Many-Electron Systems

Physical Review Letters, 2006

The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecul... more The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecular many-electron systems. Using many-body perturbation theory, corrections to the standard TSM due to exchange and electron-electron correlations are derived. It is shown that canonical Hartree-Fock orbitals represent the most appropriate set of one-electron states for calculating the HHG spectrum. To zeroth order in many-body perturbation theory, a HHG experiment allows direct access, in general, to a combination of occupied Hartree-Fock orbitals rather than to the highest occupied molecular orbital by itself.

Role of Many-Electron Dynamics in High Harmonic Generation

Physical Review Letters, 2006

High harmonic generation (HHG) in many-electron atoms is studied theoretically. The breakdown of ... more High harmonic generation (HHG) in many-electron atoms is studied theoretically. The breakdown of the frozen-core single active electron approximation is demonstrated, as it predicts roughly the same radiation amplitude in all noble gases. This is in contradiction with experiments, where heavier noble gases are known to emit much stronger HHG radiation than lighter ones. This experimental behavior of the noble gases can be qualitatively reproduced when many-electron dynamics, within a simple approximation, is taken into account.

Physical Review Letters, 2005

Light is shown to exhibit critical and tricritical behavior in passively mode-locked lasers with ... more Light is shown to exhibit critical and tricritical behavior in passively mode-locked lasers with externally injected pulses. It is a first and unique example of critical phenomena in a one-dimensional many-body light-mode system. The phase diagrams consist of regimes with continuous wave, driven parapulses, spontaneous pulses via mode condensation, and heterogeneous pulses, separated by phase transition lines that terminate with critical or tricritical points. Enhanced non-Gaussian fluctuations and collective dynamics are present at the critical and tricritical points, showing a mode system analog of the critical opalescence phenomenon. The critical exponents are calculated and shown to comply with the mean field theory, which is rigorous in the light system.

Physical Review Letters, 2004

We present a theoretical and experimental study of multiple pulse formation in passively modelock... more We present a theoretical and experimental study of multiple pulse formation in passively modelocked (PML) lasers. Following a statistical mechanics approach, the study yields a thermodynamiclike "phase diagram" with boundaries representing cascaded first order phase transitions. They correspond to abrupt creation or annihilation of pulses and a quantized RF power behavior, as system parameters (noise and/or pumping levels) are varied, in excellent accordance with the experiments. Remarkably, individual pulses carry an almost constant quantum of energy.

Some physical scenes (melting, freezing and localization) from a birthplace of light pulses (mode-locked lasers)

2003 European Quantum Electronics Conference. EQEC 2003 (IEEE Cat No.03TH8665), 2003

Pulse formation in mode-locked lasers is studied using a statistical mechanics approach for the m... more Pulse formation in mode-locked lasers is studied using a statistical mechanics approach for the many interacting modes in the cavity. The theoretical and experimental study provides many new features, such as phase transition of the first kind, with melting and freezing of the pulses and modes, as the noise ("temperature") is varied. We also discuss localization behavior of dispersive mode-locked lasers.

Optics express, Jan 15, 2003

We present a first experimental demonstration of melting of light pulses and freezing of lightwav... more We present a first experimental demonstration of melting of light pulses and freezing of lightwave modes by applying external noise which acts like temperature, verifying our recent theoretical prediction (Gordon and Fischer [1]). The experiment was performed in a fiber laser passively mode-locked by nonlinear rotation of polarization. The first order phase transition was observed directly in time domain and also by measurement of the quartic order parameter (RF power).

Experimental study of the self-starting stochastic behavior of passive mode-locking

(CLEO). Conference on Lasers and Electro-Optics, 2005., 2005

We present an experimental study of the self-starting probabilistic behavior of passively mode-lo... more We present an experimental study of the self-starting probabilistic behavior of passively mode-locked lasers.

Destabilization by noise of passive mode locking with general dispersion and Kerr nonlinearity

2005 Quantum Electronics and Laser Science Conference, 2005

We study passive mode-locking in the general case of arbitrary dispersion and Kerr nonlinearity a... more We study passive mode-locking in the general case of arbitrary dispersion and Kerr nonlinearity and the presence of noise. We present an analytical derivation and expressions for the threshold power required to maintain mode-locked pulses.

2007 Conference on Lasers and Electro-Optics (CLEO), 2007

We study the statistical properties of pulses in passive mode-locking with noise for unrestricted... more We study the statistical properties of pulses in passive mode-locking with noise for unrestricted dispersive and dissipative parameters. We find exact general expressions for the pulse power and the time and phase jitters.

Formation and destruction of pulses in lasers-a noise induced phase transition

Experimental demonstration of first order phase transition in pulse formation in passive mode locked lasers

ABSTRACT

Tu1. 5.1 Invited-Thermodynamic-Like Nature of Mode-Locking and Pulse Formation

Thermodynamic-like nature of mode-locking and pulse formation

ABSTRACT Pulse formation in mode-locked lasers is shown to follow a rich thermodynamic-like behav... more ABSTRACT Pulse formation in mode-locked lasers is shown to follow a rich thermodynamic-like behavior with phase transitions, mode to pulse condensation and critical phenomena, explaining and predicting basic and practical features, like the threshold pulsation dependence on power and noise.

Noise dependent buildup of multiple pulses in mode-locked lasers along with a cascade of phase transitions

ABSTRACT Successive formation and destruction of pulses in passive mode-locked lasers occur with ... more ABSTRACT Successive formation and destruction of pulses in passive mode-locked lasers occur with a series of phase transitions, as noise (or power) is varied. We present experimental demonstration and a statistical-mechanics theory, including "thermodynamic" phase diagrams.

Coherent instabilities and self-pulsations in Quantum Cascade Lasers

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, 2006

... related to the so-called Risken-Nummedal-Graham-Haken (RNGH) instability [4,5]. This instabil... more ... related to the so-called Risken-Nummedal-Graham-Haken (RNGH) instability [4,5]. This instability was predicted as early as in 1968, when Risken and Nummedal and independently Graham and Haken discovered the multimode instability of the Maxwell-Bloch equations: the ...

Threshold power dependence on noise in passive mode locking

Infosecurity Today, 2003

The dependence of the passive mode locking threshold power on noise in the laser cavity is measur... more The dependence of the passive mode locking threshold power on noise in the laser cavity is measured. The results are in accordance with the Gordon-Fischer phase transition theory for passive mode locking of lasers based on statistical mechamcs treatment of many interacting laser modes. 02000 Optical Society of America OCIS codes: 140.3430 Laser theory, 140.4050 Mode-locked lasers, and 000.6590 Statistical

Is High Harmonic Generation a Single-Electron Process?

Frontiers in Optics, 2006

Quantitatively-reliable analytic approximation for the single atom HHG spectrum

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, 2006

... Ariel Gordon1, Robin Santra2 and Franz X. Kärtner1 1Department of Electrical Engineering and ... more ... Ariel Gordon1, Robin Santra2 and Franz X. Kärtner1 1Department of Electrical Engineering and Computer Science, and Research Laboratory of Electronics ... Some studies [1-2] solve simultaneously the Maxwell equations and the time dependent Schrödinger equation (TDSE). ...

Conference on Lasers and Electro-Optics/International Quantum Electronics Conference, 2009

The MIT Faculty has made this article openly available. Please share how this access benefits you... more The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters.

Physical Review Letters, 2006

We study a stochastic light-mode system with non-Gibbsian steady state statistics, unravelling gl... more We study a stochastic light-mode system with non-Gibbsian steady state statistics, unravelling global nonequilibrium phase transition properties. It relates to the onset of passive mode-locking in the general case of lasers with arbitrary dispersion and Kerr nonlinearity that includes the nonsolitonic regime. The solution is facilitated by a special stationarity criterion imposed by the system gain balance. We show that the mode-locking phase transition is generic, and give exact expressions for the pulse power and its stability map. We find that at the boundary of the mode-locking stability the pulse power is exactly one half of the total intracavity power, and that the parameter region for the most resistant pulses against noise destabilization is not at the soliton condition.

Three-Step Model for High-Harmonic Generation in Many-Electron Systems

Physical Review Letters, 2006

The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecul... more The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecular many-electron systems. Using many-body perturbation theory, corrections to the standard TSM due to exchange and electron-electron correlations are derived. It is shown that canonical Hartree-Fock orbitals represent the most appropriate set of one-electron states for calculating the HHG spectrum. To zeroth order in many-body perturbation theory, a HHG experiment allows direct access, in general, to a combination of occupied Hartree-Fock orbitals rather than to the highest occupied molecular orbital by itself.

Role of Many-Electron Dynamics in High Harmonic Generation

Physical Review Letters, 2006

High harmonic generation (HHG) in many-electron atoms is studied theoretically. The breakdown of ... more High harmonic generation (HHG) in many-electron atoms is studied theoretically. The breakdown of the frozen-core single active electron approximation is demonstrated, as it predicts roughly the same radiation amplitude in all noble gases. This is in contradiction with experiments, where heavier noble gases are known to emit much stronger HHG radiation than lighter ones. This experimental behavior of the noble gases can be qualitatively reproduced when many-electron dynamics, within a simple approximation, is taken into account.

Physical Review Letters, 2005

Light is shown to exhibit critical and tricritical behavior in passively mode-locked lasers with ... more Light is shown to exhibit critical and tricritical behavior in passively mode-locked lasers with externally injected pulses. It is a first and unique example of critical phenomena in a one-dimensional many-body light-mode system. The phase diagrams consist of regimes with continuous wave, driven parapulses, spontaneous pulses via mode condensation, and heterogeneous pulses, separated by phase transition lines that terminate with critical or tricritical points. Enhanced non-Gaussian fluctuations and collective dynamics are present at the critical and tricritical points, showing a mode system analog of the critical opalescence phenomenon. The critical exponents are calculated and shown to comply with the mean field theory, which is rigorous in the light system.

Physical Review Letters, 2004

We present a theoretical and experimental study of multiple pulse formation in passively modelock... more We present a theoretical and experimental study of multiple pulse formation in passively modelocked (PML) lasers. Following a statistical mechanics approach, the study yields a thermodynamiclike "phase diagram" with boundaries representing cascaded first order phase transitions. They correspond to abrupt creation or annihilation of pulses and a quantized RF power behavior, as system parameters (noise and/or pumping levels) are varied, in excellent accordance with the experiments. Remarkably, individual pulses carry an almost constant quantum of energy.