Laser Age in Optics

Tarasov, L. V.; Gilbert, B. L.

doi:10.1119/1.2341229

Cited by 4 publications

(4 citation statements)

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“…Luckily among the integrable cases are the so-called quadratic Hamiltonians that attracted substantial attention over the years in view of their great importance to many advanced quantum problems. Examples can be found in quantum and physical optics [34], [74], [114], [116], physics of lasers and masers [128], [142], [131], [148], molecular spectroscopy [41], quantum chemistry, quantization of mechanical systems [31], [45], [46], [47], [50], [75], [77] and Hamiltonian cosmology [9], [51], [52], [58], [64], [114], [124], [125], [126]. They include coherent states [95], [96], [97], [74] and Berry's phase [7], [8], [18], [57], [84], [105], asymptotic and numerical methods [54], [68], [78], [103], [107], charged particle traps [94] and motion in uniform magnetic fields [26], [29], [39],…”

Section: An Introductionmentioning

confidence: 99%

Quantum integrals of motion for variable quadratic Hamiltonians

2010

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We construct integrals of motion for several models of the quantum damped oscillators in a framework of a general approach to the timedependent Schrödinger equation with variable quadraticHamiltonians. An extension of the Lewis-Riesenfeld dynamical invariant is given. The time-evolution of the expectation values of the energy-related positive operators is determined for the oscillators under consideration. A proof of uniqueness of the corresponding Cauchy initial value problem is discussed as an application.

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Section: An Introductionmentioning

confidence: 99%

Quantum integrals of motion for variable quadratic Hamiltonians

2010

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“…Analytical and numerical aspects (with or without the use of computers), regarding issues and problems of a general or specific nature and the application of a particular type of laser are the subjects of many references [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][34][35][36][37][38][39][40][41][42]. In Figs.…”

Section: Program Packages For the Design − Characteristics Of Quantum Generatorsmentioning

confidence: 99%

“…Unified Algorithms and Beam Propagation Methods (MPS) determine the shape and non-Gaussian modes and simulate the properties in various representation or optimization tasks. The LASCAD software package, developed by Micro Systems Design (MSD), and Daimler-Benz, supports simulations for integrated and diode-pumped lasers on solid objects -DPLCT and various optical effects [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][50][51][52]. It runs under the Windows operating system and has developed software for the application on the thermal model, monitors the AM distortion, the design of microchips and more powerful lasers on the solid state LCR.…”

Section: Program Packages For the Design − Characteristics Of Quantum Generatorsmentioning

confidence: 99%

Formalisms, Analysis, Results and Accomplishments With Population Inversion of Materials

Srećković

Ионин

Janićijević

et al. 2017

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During six decades of quantum electronics, a vast majority of new types of quantum generators have been developed. Although the principle of population inversion has united different ranges of electromagnetic spectra (and respective quantum generators), the existence of the title laser without the population inversion, makes that the exception had confirmed the rule, i. e. that this title deserves to be discussed further. Developing of formalisms describing the operation of quantum generators, by now have produced several approaches, which must have a quantum mechanics base. For the practical reasons, negative coefficient of absorption is acquired using classic electromagnetics as well, however for the population purposes, quantum representation must be entered. A few levels of formalisms will be set in this paper, linked to quantum generators accenting the optical portion of the spectra. The lowest level descriptions are based on lumped circuits. This could be expanded to equivalents of other physical problems, using program packages developed for the electrical engineering application purposes (Spice, etc.). Schematics are defined at the macro as well as micro equivalent levels (atomic – electronic levels). The kinetic equations with simpler approach will be considered as well as simplified laser equations based on quantum/ semi-quantum approach. The use of Fourier analysis or other appropriate transformations leads to formulating the main five laser equations which serve as the base for various working regimes of quantum generators and amplifiers (free generation regime, Q switch, synchronization, operation with filters, two modes regime, regime with losses, etc.). The Lyapunov stability theorem has to be included here, etc. For some of the chosen types of quantum generator, analytical modeling will be analyzed as well as the results of program packages developed for the lasers dynamics, regimes and parameters. The systems pumped with electronic beams (relativistic) will be considered and the nuclear physics statements discussed which must be included at the beginning, in order to consider further necessary parts of the condensed – solid state theory and laser techniques, after slowing down towards thermal energies. Existing program packages provide fast modeling and visualization of laser energy distribution, temperature, modes, etc. in active material with or without the resonator. A modeling will be performed for the specified geometries and a temperature distribution in active material will be captured during operation of a chosen laser system. Different pump geometries will be compared. Contemporary lasers with the shortest existing pulse durations demand new formalisms. Areas of nonlinear optics and quantum electrody-namics, Glauber states and similar, are areas that have to be included. Two main formalisms thermodynamical and quantum mechanical with transition probabilities using perturbation methods and secondary quantization naturally had to be complemented if the Brillouin, Raman, Compton, soliton, fiber and other lasers are included more generally.

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“…There are three beams: I 9.6 , I + , and I − , where I 9.6 is the pump intensity, I + is the laser intensity in the cavity in the direction of the x-axis, and I − is the laser intensity in the opposite direction of the x-axis. In the model, the governing equation of the 16 µm laser beam is as follows (defining I p (t, z) to be the averaged value of (I + + I − ) along the cavity) [43]:…”

Section: The Gasdynamic Lasermentioning

confidence: 99%

Power extraction problem in the externally pumped 16 m gasdynamic lasers: modelling and optimization

Bahrampour

Farrahi

2002

J. Phys. D: Appl. Phys.

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Power extraction problem in the gasdynamic lasers is studied by developing a quasi-one-dimensional model. Flow variables and characteristic parameters of the 16 μm output beam are obtained by numerical calculations. It is shown numerically that this type of the gasdynamic lasers can deliver a large amount of energy in high repetition rate. Based on this model, the output energy of the laser is optimized by employing the variational method. The most important parameter, the optimal nozzle-shape, is obtained by defining the family of optimal shapes. It is shown that the supersonic part of each member of this family consists of an acceleration part, an uniformization part which is a curved surface and is smoothly connected to the first part, and a relaxation duct. Finally, numerical optimization with respect to several parameters is carried out.

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Laser Age in Optics

Cited by 4 publications

References 0 publications

Quantum integrals of motion for variable quadratic Hamiltonians

Quantum integrals of motion for variable quadratic Hamiltonians

Formalisms, Analysis, Results and Accomplishments With Population Inversion of Materials

Power extraction problem in the externally pumped 16 m gasdynamic lasers: modelling and optimization

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