Giuseppe Dattoli

Giuseppe Dattoli's AcademicInfluence.com Rankings

Giuseppe Dattoli

Physics

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Giuseppe Dattoli's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Evolution operator equations: Integration with algebraic and finitedifference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory (1997) (188)
Lectures on the Free Electron Laser Theory and Related Topics (1991) (155)
Generalized polynomials, operational identities and their applications (2000) (127)
SPARC_LAB present and future (2013) (126)
Progress in the Hamiltonian picture of the free-electron laser (1981) (110)
Theory and applications of generalized Bessel functions (1996) (85)
Horizon 2020 EuPRAXIA design study (2017) (83)
Integrals of Bessel functions (2011) (73)
A note on truncated polynomials (2003) (72)
Self-amplified spontaneous emission free-electron laser with an energy-chirped electron beam and undulator tapering. (2011) (68)
Experimental and Theoretical Aspects of the Free-Electron Laser (1985) (65)
Storage ring operation of the free-electron laser: The oscillator (1980) (61)
Geometrical phase in the cyclic evolution of non-Hermitian systems (1990) (59)
Observation of time-domain modulation of free-electron-laser pulses by multipeaked electron-energy spectrum. (2013) (59)
Nonlinear harmonic generation in high-gain free-electron lasers (2005) (59)
EuPRAXIA@SPARC_LAB Design study towards a compact FEL facility at LNF (2018) (59)
Binomial states of the quantized radiation field: comment (1987) (58)
Semi-analytical model of self-amplified spontaneous-emission free-electron lasers, including diffraction and pulse-propagation effects (2004) (56)
Self-amplified spontaneous emission for a single pass free-electron laser (2011) (56)
The Sparc project: a high brightness electron beam source at LNF to drive a SASE-FEL experiment (2003) (55)
Operational methods and differential equations with applications to initial-value problems (2007) (55)
Theory of generalized Bessel functions (1990) (53)
Operational rules and arbitrary order Hermite generating functions (1998) (53)
Undulator and Cerenkov free-electron lasers: A preliminary comparison (1984) (51)
Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions (2003) (50)
Orthogonality properties of the Hermite and related polynomials (2005) (49)
Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials (2007) (49)
Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering (2005) (49)
Semi-analytical models of free electron laser saturation (2002) (48)
EuPRAXIA Conceptual Design Report (2020) (48)
Lawson-Penner limit and single passage free electron lasers performances (1984) (48)
Generalized Hermite Polynomials and Supergaussian Forms (1996) (41)
A new family of integral transforms and their applications (2006) (41)
Operation of the European storage ring FEL at ELETTRA down to 190 nm (2002) (41)
A note on harmonic numbers, umbral calculus and generating functions (2008) (39)
Undulator Radiation in a Periodic Magnetic Field with a Constant Component (2008) (39)
Operational Identities and Properties of Ordinary and Generalized Special Functions (1999) (39)
Compton Scattered X-Gamma Rays with Orbital Momentum. (2016) (37)
Special polynomials and fractional calculus (2003) (35)
The Laguerre and Legendre polynomials from an operational point of view (2001) (34)
Large-bandwidth two-color free-electron laser driven by a comb-like electron beam (2014) (34)
Generalized Bessel Functions and Generalized Hermite Polynomials (1993) (34)
On a new family of Hermite polynomials associated to parabolic cylinder functions (2003) (34)
Status of the sparc-x project (2005) (34)
The generalized Laguerre polynomials, the associated Bessel functions and application to propagation problems (2000) (33)
Two harmonic undulators and harmonic generation in high gain free electron lasers (2002) (33)
High-order-harmonic generation and superradiance in a seeded free-electron laser. (2012) (33)
Insertion Devices for Synchrotron Radiation and Free Electron Laser (2000) (33)
A multimode small signal analysis of the single pass free electron laser (1980) (32)
Time‐ordering techniques and solution of differential difference equation appearing in quantum optics (1986) (32)
Exponential operators, quasi-monomials and generalized polynomials (2000) (32)
Influence of a constant magnetic field on the radiation of a planar undulator (2009) (31)
Generalized polynomials and associated operational identities (1999) (31)
The higher-order heat-type equations via signed Lévy stable and generalized Airy functions (2013) (31)
Eigenfunctions of laguerre-type operators and generalized evolution problems (2005) (30)
Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions (1992) (30)
About the mathematical aspects of the FEL and their relationship to quantum optics (1986) (29)
Formulation of electromagnetism in a six dimensional space-time (1978) (29)
Incomplete 2D Hermite polynomials: properties and applications (2003) (29)
First lasing and initial performance of the European UV/VUV storage ring FEL at ELETTRA (2001) (29)
Bernstein polynomials and operational methods (2006) (28)
European project to develop a UV/VUV free-electron laser facility on the ELETTRA storage ring☆ (1999) (27)
Design considerations on a high-power VUV FEL (1995) (27)
Relativistic equations with fractional and pseudodifferential operators (2011) (26)
The free-electron laser: Status and perspectives (1987) (26)
Operation and performance of a free electron laser oscillator down to 190 nm (2002) (26)
Operator solutions for fractional Fokker-Planck equations. (2011) (25)
LIE ALGEBRAIC METHODS AND SOLUTIONS OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS (1990) (24)
Two-color free-electron laser with two orthogonal undulators (2014) (23)
Classical multimode theory of the free electron laser (1979) (23)
Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions (2004) (23)
Lacunary Generating Functions for Laguerre Polynomials (2013) (23)
Suppression of the sawtooth instability in a storage ring by free-electron laser: an example of nonlinear stabilization by noise. (2001) (22)
Vedic Mathematics (2020) (22)
Design considerations for x-ray free electron lasers (1999) (22)
A Note on Legendre Polynomials (2001) (22)
The free-electron laser single-particle multimode classical theory (1981) (22)
The Havriliak–Negami relaxation and its relatives: the response, relaxation and probability density functions (2016) (21)
Two-Color Radiation Generated in a Seeded Free-Electron Laser with Two Electron Beams. (2015) (21)
Evolution of non-spreading Airy wavepackets in time dependent linear potentials (2011) (21)
Limits on the single-pass higher harmonics FEL operation (1984) (21)
Theory of generalized hermite polynomials (1994) (21)
Operational methods, fractional operators and special polynomials (2003) (20)
Conceptual design of a high-brightness linac for soft X-ray SASE-FEL source (2003) (20)
Theory of two‐index Bessel functions and applications to physical problems (1994) (20)
Extreme Ultraviolet (EUV) Sources for Lithography based on Synchrotron Radiation (2001) (20)
Complex-Type Numbers and Generalizations of the Euler Identity (2011) (20)
On Ramanujan Master Theorem (2011) (19)
A novel theory of Legendre polynomials (2011) (19)
A model for the saturation of a storage ring free electron laser (1995) (19)
Quark flavour mixing and the exponential form of the Kobayashi–Maskawa matrix (2007) (19)
Generalized shift operators and pseudo-polynomials of fractional order (2003) (19)
On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions (2007) (19)
Integral transforms and Chebyshev-like polynomials (2004) (19)
Free electron lasers operating with variably polarization undulators (2000) (18)
The Ramanujan master theorem and its implications for special functions (2011) (18)
Solution of the generalised Raman-Nath equation (1983) (18)
The Airy transform and associated polynomials (2010) (17)
Laguerre and generalized hermite polynomials: the point of view of the operational method (2004) (17)
Heisenberg algebra, umbral calculus and orthogonal polynomials (2007) (17)
Inhomogeneous broadening effects in high-gain free electron laser operation: A simple parametrization (1989) (16)
Analytical treatment of the high-gain free electron laser equation (1996) (16)
Logistic function and evolution of free-electron-laser oscillators (1998) (16)
Symbolic methods for the evaluation of sum rules of Bessel functions (2012) (16)
Theory of Cerenkov free electron lasers: An analytical treatment of saturation (2005) (16)
A high frequency, high power CARM proposal for the DEMO ECRH system (2015) (16)
Parametrizing the gain dependences in a single passage FEL operating with moderate current e-beams (1989) (16)
FEL time-evolution operator (1991) (16)
Preliminary results from a microwave-driven 100 μm wavelength Cherenkov FEL experiment (1988) (16)
Evidence for multistability of light solitons in SF(6) absorption measurements. (1989) (15)
Relativistic wave equations: an operational approach (2015) (15)
Touchard like polynomials and generalized Stirling numbers (2010) (15)
Free electron laser high gain devices (2005) (15)
A bloch-like model of the free electron laser (1980) (15)
Status of the SPARC Project (2010) (15)
Unified view of free-electron laser dynamics and of higher-harmonics electron bunching (1993) (15)
Metal-grating far-infrared free-electron lasers (1985) (15)
Free electron laser oscillator efficiency (2018) (15)
Cayley–Klein parameters and evolution of two‐ and three‐level systems and squeezed states (1990) (15)
SEEDING EXPERIMENTS AT SPARC (2008) (15)
Above threshold operation of the ENEA free electron laser (1986) (15)
Free Electron coherent sources: From microwave to X-rays (2018) (14)
Relativistic harmonic oscillator, the associated equations of motion, and algebraic integration methods (2013) (14)
Bunching and exotic undulator configurations in SASE FELs (2003) (14)
Spectral properties of the undulator magnets radiation: Analytical and numerical treatment (1990) (14)
Analysis of the spherical Raman-Nath equation (1984) (14)
Free-electron laser theory (1989) (14)
An alternative point of view to the theory of fractional Fourier transform (1998) (14)
Neutrino mixing and the exponential form of the Pontecorvo–Maki–Nakagawa–Sakata matrix (2008) (14)
The UV European FEL at ELETTRA: towards compatibility of storage ring operation for FEL and synchrotron radiation (2003) (14)
Summation formulae of special functions and multivariable Hermite polynomials (2004) (14)
Symmetric q-Bessel functions (1997) (14)
Evolution of SU(2) and SU(1,1) states: A further mathematical analysis (1988) (13)
On new families of integral transforms for the solution of partial differential equations (2005) (13)
Mapping the transverse coherence of the self amplified spontaneous emission of a free-electron laser with the heterodyne speckle method. (2014) (13)
Generalized Bessel Functions and Kapteyn Series (1998) (13)
Electron beam properties and impedance characterization for storage rings used for free electron lasers (2001) (13)
Phase‐space dynamics and Hermite polynomials of two variables and two indices (1994) (13)
On the coherent states of a free electron laser (1980) (13)
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions (2013) (13)
From Hermite to Humbert polynomials (2003) (13)
An analytical solution for the Haissinski equation with purely inductive wake fields (2002) (13)
The spherical Bessel and Struve functions and operational methods (2012) (13)
Bilateral generating functions and operational methods (2002) (13)
Operational Versus Umbral Methods and the Borel Transform (2015) (13)
On integrals involving Hermite polynomials (2011) (13)
The Lamb-Bateman integral equation and the fractional derivatives (2010) (13)
Deep saturated Free Electron Laser oscillators and frozen spikes (2016) (13)
DYNAMICAL ASPECTS OF FEL INTERACTION IN SINGLE PASSAGE AND STORAGE RING DEVICES (1996) (13)
Comments on the gain calculation of a FEL operating with a linearly polarized wiggler (1982) (13)
SU(2) and SU(1,1) time‐ordering theorems and Bloch‐type equations (1987) (13)
Impact of electron beam quality on nonlinear harmonic generation in high gain free electron lasers (2002) (12)
Production and properties of two-color radiation generated by using a Free-Electron Laser with two orthogonal undulators (2014) (12)
Spontaneous emission in Ĉerenkov FEL devices: a preliminary theoretical analysis (1988) (12)
Intensity saturation mechanism in free-electron lasers (1992) (12)
Mass matrix with symmetric mixing and a new parametrization of the Cabibbo-Kobayashi-Maskawa matrix (1992) (12)
STORAGE-RING FREE-ELECTRON-LASER DYNAMICS AND HEAD-TAIL INSTABILITY (1998) (12)
Status of the Horizon 2020 EuPRAXIA conceptual design study (2019) (12)
Theory of multiindex multivariable Bessel functions and Hermite polynomials (1998) (12)
STATUS OF THE ENEA-DARTMOUTH FAR INFRARED CHERENKOV LASER EXPERIMENT (1987) (12)
Laguerrian eigenvalue problems and Wright functions (2004) (12)
Monomiality and partial differential equations (2009) (12)
The European UV/VUV storage ring FEL at ELETTRA: first operation and future prospects (2001) (12)
Two-index multidimensional Gegenbauer polynomials and their integral representations (2003) (12)
Analysis of the harmonic Raman-Nath equation (1984) (12)
Quark mixing in the standard model and space rotations (2007) (11)
Variably polarizing undulators: Spectral properties and free electron laser gain (2000) (11)
Parametrization of the electron beam induced energy spread in free electron laser dynamics (1994) (11)
IRIDE: Interdisciplinary research infrastructure based on dual electron linacs and lasers (2014) (11)
Effect of electron beam energy distribution on the wiggler - undulator brightness (1992) (11)
Fourier expansions and multivariable bessel functions concerning radiation problems (1996) (10)
Advances on the theory of generalized Bessel functions and applications to multiphoton processes (1993) (10)
MONOMIALITY , ORTHOGONAL AND PSEUDO-ORTHOGONAL POLYNOMIALS (2006) (10)
A note on multi-index polynomials of Dickson type and their applications in quantum optics (2002) (10)
The sensitivity of nonlinear harmonic generation to electron beam quality in free electron lasers (2002) (10)
A short note on the wave-undulator FEL operation (1985) (10)
Remarks on the derivation of sum rules of special functions (1985) (10)
Gain parameterization formulas in FEL optical-klystron configurations (1999) (10)
Pseudo Laguerre and pseudo Hermite polynomials (2001) (10)
Theory of generalized trigonometric functions: From Laguerre to Airy forms (2017) (10)
The fine structure constant and numerical alchemy (2010) (10)
THE HERMITE POLYNOMIALS AND THE BESSEL FUNCTIONS FROM A GENERAL POINT OF VIEW (2003) (10)
Bessel summation formulae and operational methods (2005) (10)
Storage-ring free-electron-laser amplifiers and the microwave instability (1997) (10)
FEL quantum theory: Comments on Glauber coherence, antibunching and squeezing (1984) (10)
Free-electron laser operation in the intermediate gain region (1989) (10)
Infinite-variable Bessel functions of the Anger type and the Fourier expansions (1997) (10)
FEL SASE and wave undulators (2012) (10)
The FERMI FEL project at Trieste (1995) (9)
A Unified Point of View on the Theory of Generalized Bessel Functions (1995) (9)
Hybrid Complex Numbers: The Matrix Version (2018) (9)
Two color FEL driven by a comb-like electron beam distribution (2014) (9)
Generalized Bessel Functions of the Anger Type and Applications to Physical Problems (1994) (9)
Operational Methods and Lorentz-Type Equations of Motion (2010) (9)
Motzkin numbers, central trinomial coefficients and hybrid polynomials (2008) (9)
A spinor approach to the propagation in self-focusing fibers (1990) (9)
Some Properties and Generating Functions of Generalized Harmonic Numbers (2019) (9)
A 100 μm Cherenkov laser experiment (1986) (9)
Exponential operators, generalized polynomials and evolution problems (2001) (9)
Introduction to the Physics of Free Electron Laser and Comparison with Conventional Laser Sources (2010) (9)
Fractional Derivatives, Memory Kernels and Solution of a Free Electron Laser Volterra Type Equation (2017) (9)
Matrix representation of the evolution operator for theSU(3) dynamics (1991) (9)
On the generalized Twiss parameters and Courant-Snyder invariant in classical and quantum optics (1992) (9)
Formal quantum theory of electronic rays (1992) (9)
Two color free-electron laser and frequency beating. (2013) (8)
Charged Beam Dynamics, Particle Accelerators and Free Electron Lasers (2017) (8)
Comments on the properties of Mittag-Leffler function (2017) (8)
Theory of relativistic heat polynomials and one-sided Lévy distributions (2016) (8)
Single passage FEL devices: A preliminary comparison with conventional coherent sources (1985) (8)
Free electron laser saturation: An analytical description (1995) (8)
Resonant interaction between laser and electrons undergoing betatron oscillations in the bubble regime (2015) (8)
The SPARC/X SASE-FEL Projects (2004) (8)
The stretched exponential behavior and its underlying dynamics. The phenomenological approach (2016) (8)
Symmetric decomposition of exponential operators and evolution problems (1998) (8)
FREE ELECTRON LASER GAIN : APPROXIMANT FORMS AND INCLUSION OF INHOMOGENEOUS BROADENING CONTRIBUTIONS (1995) (8)
About the sum rules of special functions (1985) (8)
Generalized truncated exponential polinomyals and applications (2002) (8)
Beam Quality Limitations to the Single Pass FEL Dynamics (1981) (8)
Dynamics of a storage-ring FEL oscillator with the inclusion of the microwave instability (1997) (8)
A review of the theory of pulse propagation in the long bunch low gain regime (1988) (8)
Analytical and numerical results onM-variable generalized Bessel functions (1992) (8)
Comments on the theory of Bessel functions with more than one index (2004) (8)
SAW-TOOTH INSTABILITY IN STORAGE RINGS : SIMULATIONS AND DYNAMICAL MODEL (1999) (7)
MISCELLANEOUS IDENTITIES OF GENERALIZED HERMITE POLYNOMIALS (1998) (7)
Exponential and Wolfenstein parametrizations of the CKM matrix (1996) (7)
Photon statistical properties of an optical-wiggler free-electron laser. Technical report No. 38, 1 October 1984-30 September 1985 (1985) (7)
Inhomogeneous broadening effects in a waveguide free-electron laser (1994) (7)
Operational Methods in the Study of Sobolev-Jacobi Polynomials (2018) (7)
The probability density function for the Havriliak-Negami relaxation (2016) (7)
A single-particle calculation of the FEL-Čerenkov gain (1988) (7)
Free electron laser oscillators with tapered undulators: Inclusion of harmonic generation and pulse propagation (2011) (7)
Symmetric-split-operator techniques and finite-difference methods for the solution of classical and quantum evolution problems (1996) (7)
CompactLight design study (2019) (7)
Weak mixing angles,CP-violating phase and exponential parametrization of the Cabibbo-Kobayashi-Maskawa matrix (1994) (7)
Transverse Gradient Undulators and FEL operating with large energy spread (2015) (7)
A Note on the Evolution of Covid-19 in Italy (2020) (7)
Free Electron Laser in the water window with plasma driven electron beams (2018) (7)
Exotic harmonic generation schemes in high-gain free-electron lasers (2002) (7)
The Hermite-Bessel functions : A new point of view on the theory of the generalized Bessel functions (1998) (7)
A simple model of gain saturation in high gain single pass free electron lasers (1997) (7)
Quasi‐Relativistic Heat Equation via Lévy Stable Distributions: Exact Solutions (2016) (7)
Status report on SPARC project (2004) (7)
THE EULER LEGACY TO MODERN PHYSICS (2010) (7)
A note on the extension of the Dirac method (2011) (7)
AN R&D PROGRAM FOR A HIGH BRIGHTNESS ELECTRON BEAM SOURCE AT LNF (2002) (7)
Phase space formalism: The generalized harmonic-oscillator functions (1995) (7)
Slice emittance, projected emittance and properties of the SASE FEL radiation (2012) (7)
Theory of multivariable Bessel functions and elliptic modular functions (1999) (7)
The bessel functions and the hermite polynomials from a unified point of view (2001) (7)
Status of the SPARX FEL project (2006) (7)
Phase‐space formalism: Generalized Hermite polynomials, orthogonal functions and creation–annihilation operators (1995) (7)
The tandem FEL dynamic behavior (1995) (7)
Monomiality principle, Sheffer-type polynomials and the normal ordering problem (2005) (7)
Comments on the solution of the spherical Raman-Nath equation (1984) (7)
EuPRAXIA – a compact, cost-efficient particle and radiation source (2019) (7)
Quantum coherence properties of the FEL (1985) (7)
SRFEL dynamics investigated with a 1-D numerical code (2002) (7)
A SIMPLE THREE-DIMENSIONAL FREE ELECTRON LASER CODE (1996) (7)
On an umbral treatment of Gegenbauer, Legendre and Jacobi polynomials (2017) (7)
FEL dynamics, electron-beam bunching and prebunching (1997) (6)
Pathway to a Compact SASE FEL Device (2015) (6)
Status of the free electron laser experiment at the ENEA Frascati center (1985) (6)
Theory of high gain free-electron lasers operating with segmented undulators (2006) (6)
Status report of the IR FEL project on the superconducting linac LISA at LNF-Frascati (1991) (6)
Multi-index polynomials and Bessel functions and applications to statistical problems (2003) (6)
Pulse propagation and nonlinear harmonic generation in free electron laser oscillators (2007) (6)
Motzkin Numbers: an Operational Point of View (2017) (6)
Oscillator-amplifier free electron laser devices with stable output power (2004) (6)
Free Electron Laser High Gain Equation and Harmonic Generation (2020) (6)
More about the FEL coherence properties (1980) (6)
Generalized Trigonometric Functions and Elementary Applications (2017) (6)
Root Operators and “Evolution” Equations (2015) (6)
The High Gain Integral Equation for CARM-FEL Devices (2015) (6)
Biunitary transformations and ordinary differential equations.—I (1991) (6)
Definite integrals and operational methods (2011) (6)
Pseudo-Bessel Functions and Applications (2002) (6)
MOPA optical klystron FELs and coherent harmonic generation (2003) (6)
Chebyshev Polynomials and Generalized Complex Numbers (2012) (6)
High gain oscillators : Pulse propagation and saturation (2007) (6)
THE GENERATING FUNCTION METHOD AND PROPERTIES OF RELATIVISTIC HERMITE POLYNOMIALS (1998) (6)
Saturation dynamics in FEL and optical-klystron FEL devices (1994) (6)
Generalized Trigonometric Functions and Matrix Parameterization (2017) (6)
Longitudinal dynamics of high gain free electron laser amplifiers (2013) (6)
Exponential operators, operational rules and evolution problems (1998) (6)
Products of Bessel functions and associated polynomials (2013) (6)
Recent results of the sparc FEL experiments (2009) (6)
Theory of the longitudinal dynamics of a storage ring FEL (1995) (6)
Mittag-Leffler function and fractional differential equations (2017) (6)
Saturation and electron-beam lifetime in a storage ring free-electron laser. (2004) (6)
LEDA-F Storage Ring Dedicated to the Free Electron Laser Operation. Preliminary Design (1979) (6)
A Simple Treatment Of The FEL Pulse-propagation Problem With The Inclusion Of Transverse-mode Dynamics (1989) (5)
A comparison between high gain Cerenkov and undulator based FELs (2002) (5)
Overview of proposed VUV and soft X-ray projects in the world (2003) (5)
The high gain optical klystron (1993) (5)
Status of the compactlight design study (2019) (5)
Cyclotron auto resonance maser and free electron laser devices: a unified point of view (2017) (5)
Pulse propagation theory for the Čerenkoa free-electron laser (1989) (5)
The Monomiality Approach to Multi-Index Polynomials in Several Variables (2007) (5)
Quasi Exact Solution of the Fisher Equation (2013) (5)
On the Theory of the Free Electron Laser (1983) (5)
Progress in the FEL Project at the C. N. E. N. Frascati Center (1981) (5)
Energy phase correlation and pulse dynamics in short bunch high gain FELs (2010) (5)
SASE FEL Storage Ring (2012) (5)
SOME FAMILIES OF MIXED GENERATING FUNCTIONS AND GENERALIZED POLYNOMIALS (2000) (5)
Note on “discrete-like diffraction dynamics in free space”: highlighting the variety of solving procedures (2014) (5)
Study of coherent synchrotron radiation effects by means of a new simulation code based on the non-linear extension of the operator splitting method (2007) (5)
The Eisentein group and the pseudo hyperbolic functions (2010) (5)
Mathematical Methods for Physicists (2019) (5)
Exponential parametrization of the Cabibbo-Kobayashi-Maskawa matrix and eigenstates of weak interactions (1992) (5)
On evaluation of integrals involving Bessel functions (2011) (5)
Linear undulator brightness : exact analytical treatment (1992) (5)
Pulse propagation and optical-klystron free-electron-laser devices. (2000) (5)
Hyperbolic and Circular Trigonometry and Application to Special Relativity (2010) (5)
Undulator design for a laser-plasma-based free-electron-laser (2021) (5)
The truncated exponential polynomials, the associated Hermite forms and applications (2006) (5)
Linear undulator brightness: inclusion of low energy corrections and of betatron motion (1992) (5)
Mid-infrared free electron laser oscillator sources and semi-analytical formulae (2005) (5)
Coupled transverse motion in charged-beam transport dynamics and generalized twiss coefficients (1992) (5)
On the Evolution of Covid-19 in Italy: a Follow up Note (2020) (5)
FEL QUANTUM ASPECTS (1983) (5)
Exponential operators and generalized difference equations. Generalized difference equations (2000) (5)
Laser wave undulators and high gain X-ray free electron lasers (1999) (5)
Double free-electron laser oscillator for photon–photon collisions (2013) (5)
Quantum statistical properties of an FEL amplifier (1985) (5)
The Pseudo-Hyperbolic Functions and the Matrix Representation of Eisenstein Complex Numbers (2010) (5)
Derivation of the Hille-Hardy type formulae and operational methods (2003) (5)
Electron beam propagation in linearly polarized undulators: The effect of the anharmonicity on the spatial and phase‐space distributions (1995) (5)
Hermite Calculus (2016) (5)
Analytical and numerical computation of undulator brightness: a comparison (1994) (5)
A simple derivation of new sum rules of bessel functions (1985) (5)
Recent results and future perspectives of the SPARC project (2008) (5)
Supermode biorthogonality in free-electron lasers: A physical interpretation (1988) (5)
Negative derivatives and special functions (2010) (5)
Solutions of integro-differential equations and operational methods (2007) (5)
Evolution of transverse modes in a high-gain free-electron laser (2004) (4)
Virtual Laboratory and Computer Aided Design for Free Electron Lasers outline and simulation (2012) (4)
High Gain Amplifiers: Power Oscillations and Harmonic Generation (2007) (4)
Eupraxia, A Step Toward A Plasma-Wakefield Based Accelerator With High Beam Quality (2019) (4)
Integral equations, fractional calculus and shift operator (2010) (4)
Longitudinal beam distribution in a storage ring with pure inductance described by the LambertW function (2002) (4)
Linear Potentials, Airy Wave Packets and Airy Transform (2010) (4)
Free-electron laser saturated regime, cavity modulation, and harmonic generation (1998) (4)
Simulation Of Free-electron-laser Gain Measurements Using An Integral Pulse-propagation Equation (1989) (4)
Repeated derivatives of composite functions and generalizations of the Leibniz rule (2011) (4)
Arbitrary-order coherent states and pseudo-hyperbolic functions (2001) (4)
A Far-infrared Quasi-optical Resonator For A Cherenkov Free Electron Laser (1989) (4)
Completion of the first phase of development of the European UV/VUV free-electron laser at Elettra (2001) (4)
Slice emittance, projected emittance and properties of the FEL SASE radiation (2010) (4)
The PROMETEO Code: A flexible tool for Free Electron Laser study (2009) (4)
Angular-gain spectrum of free-electron lasers. Rept. No. 3 (Final), 1 July 1984-28 February 1985 (1985) (4)
Free electron lasers (1987) (4)
Generating functions involving arbitrary products (2007) (4)
Sheffer and Non-Sheffer Polynomial Families (2012) (4)
Free‐electron laser intracavity light as a source of hard x‐ray production by Compton backscattering (1994) (4)
Linear undular brightness: Sextupolar magnetic-field contributions and higher-orders energy corrections for low-energy electron beams (1992) (4)
Umbral Methods and Harmonic Numbers (2017) (4)
Storage-Ring FEL longitudinal dynamics (1996) (4)
Comments on the theory of Hermite–Bessel functions (2004) (4)
Compact FEL activity at the ENEA-Frascati Research Center (1992) (4)
Pulse propagation and supermodes in Optical-Klystron FEL oscillators (2004) (4)
Future seeding experiments at SPARC (2007) (4)
Miscellaneous results on infinite series of bessel functions (1989) (4)
A simple model for the saw-tooth instability in storage rings (1999) (4)
Summation Formulae and Stirling Numbers (2009) (4)
PHASE SHIFTERS FOR THE SPARC UNDULATOR SYSTEM (2005) (4)
Progress report of the machine construction and FEL program on LISA at LNF (1992) (4)
The pulse propagation problem in free electron lasers: Gain parametrization formulae (1996) (4)
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Dirac factorization and fractional calculus (2012) (3)
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PROPOSAL TO SEARCH FOR AXION-LIKE PARTICLES WITH FEL OSCILLATORS (2021) (0)
Laser Heater and seeded Free Electron Laser (2014) (0)
Towards a wave theory of charged-beam propagation (1992) (0)
OPTICAL SYSTEMS IN THE GEOMETRICAL AND WAVE OPTICS FRAMEWORK (2000) (0)
WIGNER DISTRIBUTION AND SYNCHROTRON RADIATION SOURCES (2000) (0)
Potential well distortion saw-tooth instability and FEL dynamics (2005) (0)
Monomiality and a New Family of Hermite Polynomials (2022) (0)
Number Decomposition, Algebraic Equations and Number Derivatives (2007) (0)
Understanding the limits of the development (2017) (0)
The Role of Empirical Formulae in the Design of Complex Systems (2023) (0)
Analysis of the optical-klystron gain depression induced by inhomogeneous broadening effects (1993) (0)
Hybrid Complex Numbers: The Matrix Version (2018) (0)
Umbral-Algebraic Methods and Asymptotic Properties of Special Polynomials (2020) (0)
Effect of the incoherent emission on the FEL pulse width (1989) (0)
00 19 5 v 1 [ m at hph ] 3 0 D ec 2 01 7 Mittag-Leffler function and fractional differential equations (0)
FEL Pendulum Equation (1993) (0)
Longitudinal and transverse mode evolution in free electron laser (1995) (0)
Integrals of Special Functions and Umbral Methods (2021) (0)
Parabolic Trigonometry (2020) (0)
Control of the electron beam vertical instability using the super-ACO free electron laser (2004) (0)
Synchrotron Radiation: A Short Description (1993) (0)
A note on the «Quantum» treatment of charged-beam propagation with transverse coupling (1992) (0)
LASER HEATING AND MICROWAVE INSTABILITY IN THE SUPER-ACO FEL (2003) (0)
FREE ELECTRON LASER TRIGGERED PHOTO-CATHODE (2006) (0)
Free electron laser quantum analysis (1983) (0)
Free Electron Laser as a tool for fundamental quantum physics (2017) (0)
The Parabolic-Trigonometric Functions (2011) (0)
Synchrotron Radiation: Emission in Undulator Magnets (1993) (0)
MHD models, plasma equilibrium and instabilities (2021) (0)
The Gyratron, CARM and FEL devices: An analytical unified formulation for the small signal analysis (2014) (0)
Supermode bi-orthogonality in free electron laser: a physical interpretation (1988) (0)

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