baldassarri baronchelli barrat caglioti castellano cattuto complexity dattoli evolutionary_dynamics granular_media granular_media herrmann information_theory innovation_dynamics kreyon language_dynamics loreto mari mukherjee petri pietronero puglisi quantum_optics self_organization servedio statistical_physics techno_social_systems tria zapperi zippers
1992 |
Dattoli, Giuseppe; Giannessi, Luca; Cabrini, Stefano; Loreto, Vittorio Gain saturation in bunched free electrons lasers Journal Article PHYSICAL REVIEW A, 45 , pp. 8842–8845, 1992. Abstract | Links | BibTeX | Tag: cabrini, dattoli, giannessi, loreto, mari, quantum_optics @article{b, title = {Gain saturation in bunched free electrons lasers}, author = {Giuseppe Dattoli and Luca Giannessi and Stefano Cabrini and Vittorio Loreto}, url = {http://link.aps.org/doi/10.1103/PhysRevA.45.8842, http://www.scopus.com/inward/record.url?eid=2-s2.0-0008760169&partnerID=65&md5=2da9957ef0ea338cb9c72159a32160a3 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1992JA21400064&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1992}, date = {1992-01-01}, journal = {PHYSICAL REVIEW A}, volume = {45}, pages = {8842--8845}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {We propose a model of gain saturation in free-electron lasers operating with a bunched electron beam. A simple method to evaluate the steady-state intensity as a function of the optical cavity length is given and the result is in close agreement with the intensity measured in the Los Alamos free-electron-laser experiment [B. E. Newnam et al., Nucl. Instrum. Methods A 237, 187 (1985)].}, keywords = {cabrini, dattoli, giannessi, loreto, mari, quantum_optics}, pubstate = {published}, tppubtype = {article} } We propose a model of gain saturation in free-electron lasers operating with a bunched electron beam. A simple method to evaluate the steady-state intensity as a function of the optical cavity length is given and the result is in close agreement with the intensity measured in the Los Alamos free-electron-laser experiment [B. E. Newnam et al., Nucl. Instrum. Methods A 237, 187 (1985)]. |
Dattoli, Giuseppe; Cabrini, Stefano; Giannessi, Luca; Loreto, Vittorio; Mari, Carlo Gain saturation in free-electron lasers Journal Article NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH. SECTION A, ACCELERATORS, SPECTROMETERS, DETECTORS AND ASSOCIATED EQUIPMENT, 318 , pp. 495–499, 1992. Abstract | Links | BibTeX | Tag: cabrini, dattoli, giannessi, loreto, mari, quantum_optics @article{b, title = {Gain saturation in free-electron lasers}, author = {Giuseppe Dattoli and Stefano Cabrini and Luca Giannessi and Vittorio Loreto and Carlo Mari}, url = {http://www.sciencedirect.com/science/article/pii/016890029291105I http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1992JD76700094&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1992}, date = {1992-01-01}, journal = {NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH. SECTION A, ACCELERATORS, SPECTROMETERS, DETECTORS AND ASSOCIATED EQUIPMENT}, volume = {318}, pages = {495--499}, publisher = {ELSEVIER SCIENCE, AMSTERDAM}, abstract = {We propose a model of gain saturation in a free-electron laser, drawing a parallel with the dynamics of saturation in a conventional laser. The results achieved are then extended phenomenologically to bunched-beam operations and the results has been compared to that measured in the experiments at Los Alamos.}, keywords = {cabrini, dattoli, giannessi, loreto, mari, quantum_optics}, pubstate = {published}, tppubtype = {article} } We propose a model of gain saturation in a free-electron laser, drawing a parallel with the dynamics of saturation in a conventional laser. The results achieved are then extended phenomenologically to bunched-beam operations and the results has been compared to that measured in the experiments at Los Alamos. |
1991 |
Dattoli, Giuseppe; Loreto, Vittorio; Mari, Carlo; Richetta, Maria; Torre, Amalia Biunitary transformations and ordinary differential equations - I Journal Article LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA, 106B , pp. 1357–1374, 1991. Abstract | Links | BibTeX | Tag: dattoli, loreto, mari, quantum_optics, richetta, torre @article{b, title = {Biunitary transformations and ordinary differential equations - I}, author = {Giuseppe Dattoli and Vittorio Loreto and Carlo Mari and Maria Richetta and Amalia Torre}, url = {http://dx.doi.org/10.1007/BF02728366, http://www.scopus.com/inward/record.url?eid=2-s2.0-51249174048&partnerID=65&md5=71e6cba395d9f74b6cdd9da971d3c6e0 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1991HE48800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1991}, date = {1991-01-01}, journal = {LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA}, volume = {106B}, pages = {1357--1374}, publisher = {Italian Physical Society}, abstract = {We reformulate the theory of ordinary differential equations of arbitrary order with nonconstant coefficients, using the formalism of non-Hermitian operators. In particular, exploiting the technique of dissipative quantum mechanics, we show that the solution of the equations can be written in terms of a nonunitary evolution operator. Furthermore, we point out that the solution of the adjoint equations can be derived from an associated biunitary operator. We show that a number of invariants, not previously discussed, exhists. Finally, we prove that the method allows the search for approximate solutions that can be used in many physical problems.}, keywords = {dattoli, loreto, mari, quantum_optics, richetta, torre}, pubstate = {published}, tppubtype = {article} } We reformulate the theory of ordinary differential equations of arbitrary order with nonconstant coefficients, using the formalism of non-Hermitian operators. In particular, exploiting the technique of dissipative quantum mechanics, we show that the solution of the equations can be written in terms of a nonunitary evolution operator. Furthermore, we point out that the solution of the adjoint equations can be derived from an associated biunitary operator. We show that a number of invariants, not previously discussed, exhists. Finally, we prove that the method allows the search for approximate solutions that can be used in many physical problems. |
Dattoli, Giuseppe; Loreto, Vittorio; Mari, Carlo; Richetta, Maria; Torre, Amalia Biunitary transformations and ordinary differential equations - II Journal Article LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA, 106 , pp. 1375–1390, 1991. Abstract | Links | BibTeX | Tag: dattoli, loreto, mari, quantum_optics, richetta, torre @article{b, title = {Biunitary transformations and ordinary differential equations - II}, author = {Giuseppe Dattoli and Vittorio Loreto and Carlo Mari and Maria Richetta and Amalia Torre}, url = {http://rd.springer.com/article/10.1007/BF02728367, http://www.scopus.com/inward/record.url?eid=2-s2.0-51249177614&partnerID=65&md5=2b85bcbf36039a33533f9e968c2e627e http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1991HE48800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1991}, date = {1991-01-01}, journal = {LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA}, volume = {106}, pages = {1375--1390}, publisher = {EDITRICE COMPOSITORI BOLOGNA, VIA STALINGRADO 97/2, I-40128 BOLOGNA, ITALY}, abstract = {We use the results of a recent reformulation of the theory of arbitrary-order differential equations in terms of non-Hermitian operators to show that the invariant binorm is associated to a generalized Courant-Snyder invariant. Furthermore, we indicate the existence of higher-order invariants associated to the Casimir operators of the group, utilized to treat higher-order equations. We also discuss the intrinsic supersymmetric nature of the theory developed. Finally, we show the relevance of the proposed mathematical technique to the design of fiber-optics transport systems.}, keywords = {dattoli, loreto, mari, quantum_optics, richetta, torre}, pubstate = {published}, tppubtype = {article} } We use the results of a recent reformulation of the theory of arbitrary-order differential equations in terms of non-Hermitian operators to show that the invariant binorm is associated to a generalized Courant-Snyder invariant. Furthermore, we indicate the existence of higher-order invariants associated to the Casimir operators of the group, utilized to treat higher-order equations. We also discuss the intrinsic supersymmetric nature of the theory developed. Finally, we show the relevance of the proposed mathematical technique to the design of fiber-optics transport systems. |
Dattoli, Giuseppe; Loreto, Vittorio; Mari, Carlo; Richetta, Maria; Torre, Amalia Biunitary transformations and ordinary differential equations - III Journal Article LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA, 106 B , pp. 1391–1399, 1991. Abstract | Links | BibTeX | Tag: dattoli, loreto, mari, quantum_optics, richetta, torre @article{b, title = {Biunitary transformations and ordinary differential equations - III}, author = {Giuseppe Dattoli and Vittorio Loreto and Carlo Mari and Maria Richetta and Amalia Torre}, url = {http://rd.springer.com/article/10.1007/BF02728368, http://www.scopus.com/inward/record.url?eid=2-s2.0-51249177364&partnerID=65&md5=84b216f43701ba80b3ce08d77b98f277 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1991HE48800004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1991}, date = {1991-01-01}, journal = {LA RIVISTA DEL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA}, volume = {106 B}, pages = {1391--1399}, publisher = {EDITRICE COMPOSITORI BOLOGNA}, abstract = {In two previous papers, the authors have introduced the concept of binormal differential equations. It has been shown that invariants of the Courant-Snyder type are associated to the scalar products of the column vector associated to an ordinary differential equation and to its binormal. In this paper, we show the equivalence of the above invariant and the Lewis form. We also introduce a density matrix for a second-order differential equation and clarify the geometrical meaning of the Twiss parameters. The importance of the above results in the analysis of quantum problems such as, e.g., the evolution of squeezed states is finally stressed.}, keywords = {dattoli, loreto, mari, quantum_optics, richetta, torre}, pubstate = {published}, tppubtype = {article} } In two previous papers, the authors have introduced the concept of binormal differential equations. It has been shown that invariants of the Courant-Snyder type are associated to the scalar products of the column vector associated to an ordinary differential equation and to its binormal. In this paper, we show the equivalence of the above invariant and the Lewis form. We also introduce a density matrix for a second-order differential equation and clarify the geometrical meaning of the Twiss parameters. The importance of the above results in the analysis of quantum problems such as, e.g., the evolution of squeezed states is finally stressed. |
Dattoli, Giuseppe; Giannessi, Luca; Loreto, Vittorio; Mari, Carlo Cavity lenght adjustment and output FEL intensity optimization Journal Article IEEE JOURNAL OF QUANTUM ELECTRONICS, 27 , pp. 2370–2372, 1991. Abstract | Links | BibTeX | Tag: dattoli, giannessi, loreto, mari, quantum_optics @article{b, title = {Cavity lenght adjustment and output FEL intensity optimization}, author = {Giuseppe Dattoli and Luca Giannessi and Vittorio Loreto and Carlo Mari}, url = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=100874 http://www.scopus.com/inward/record.url?eid=2-s2.0-0026258699&partnerID=65&md5=550a698360dc171a27534fcac1e9f659 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1991GN87900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1991}, date = {1991-01-01}, journal = {IEEE JOURNAL OF QUANTUM ELECTRONICS}, volume = {27}, pages = {2370--2372}, abstract = {The authors reconsider in more quantitative detail the possibility of enhancing the output intensity of a free electron laser (FEL) oscillator operating with bunched electron beam and finite macropulse duration, adjusting the cavity length while the signal grows. In a forthcoming publication G. Dattoli et al. point out that the output power can be enhanced by moving the cavity mirrors while the intercavity signal grows in such a way that the system is operating at the value of the cavity length providing the maximum gain. Practical solutions to realize the mirror movements will also be discussed. The authors complete the analysis to be published by presenting simple formulas which allow a straightforward evaluation of the power enhancement.}, keywords = {dattoli, giannessi, loreto, mari, quantum_optics}, pubstate = {published}, tppubtype = {article} } The authors reconsider in more quantitative detail the possibility of enhancing the output intensity of a free electron laser (FEL) oscillator operating with bunched electron beam and finite macropulse duration, adjusting the cavity length while the signal grows. In a forthcoming publication G. Dattoli et al. point out that the output power can be enhanced by moving the cavity mirrors while the intercavity signal grows in such a way that the system is operating at the value of the cavity length providing the maximum gain. Practical solutions to realize the mirror movements will also be discussed. The authors complete the analysis to be published by presenting simple formulas which allow a straightforward evaluation of the power enhancement. |
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