Bernstein, Ira B.
Overview
Works:  37 works in 44 publications in 1 language and 96 library holdings 

Roles:  Author 
Classifications:  QC621 N235 NO. 3745, 
Publication Timeline
.
Most widely held works by
Ira B Bernstein
Linear stability of selfsimilar flow by
D. L Book(
Book
)
3 editions published in 1978 in English and held by 49 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 49 WorldCat member libraries worldwide
A rapid numerical procedure for determining axisymmetric transverse electric electromagnetic fields via boundary integrals by
Ira B Bernstein(
Book
)
2 editions published in 1988 in English and held by 5 WorldCat member libraries worldwide
An important engineering problem is the determination of the electromagnetic fields in microwave systems, for example tapered waveguides, horns, scatterers, close cavities, and open resonators. Consider the case of axisymmetric transverse electric modes. Such problems for monochromatic radiation can be reduced to consideration of an elliptic partial differential equation similar to the Helmholtz equation. Methods have been developed for the direct numerical solution of the partial differential equation. Variational principles have been used to optimally determine approximate values of object of interest like reflection and transmission coefficients. An alternative approach is the reduction of the problem to consideration of an integral equation defined on the metallic walls defining the object (the boundary integral method). These have been solved for the case of scalar fields described by the Helmholtz equation. The boundary integral equation method is feasible when the Greens function is known in a computationaly convenient form, and is very often much more computationaly efficient than its competitors, particularly when the geometry is complex. The theory and effective numerical implementation are described of such a boundary integral equation approach for the case of an axisymmetric transverse electric electromagnetic field. The technique is readily generalizable to arbitrary axisymmetric fields. (JHD)
2 editions published in 1988 in English and held by 5 WorldCat member libraries worldwide
An important engineering problem is the determination of the electromagnetic fields in microwave systems, for example tapered waveguides, horns, scatterers, close cavities, and open resonators. Consider the case of axisymmetric transverse electric modes. Such problems for monochromatic radiation can be reduced to consideration of an elliptic partial differential equation similar to the Helmholtz equation. Methods have been developed for the direct numerical solution of the partial differential equation. Variational principles have been used to optimally determine approximate values of object of interest like reflection and transmission coefficients. An alternative approach is the reduction of the problem to consideration of an integral equation defined on the metallic walls defining the object (the boundary integral method). These have been solved for the case of scalar fields described by the Helmholtz equation. The boundary integral equation method is feasible when the Greens function is known in a computationaly convenient form, and is very often much more computationaly efficient than its competitors, particularly when the geometry is complex. The theory and effective numerical implementation are described of such a boundary integral equation approach for the case of an axisymmetric transverse electric electromagnetic field. The technique is readily generalizable to arbitrary axisymmetric fields. (JHD)
WaveParticle Interactions on Relativistic Electron Beams(
Book
)
3 editions published between 1980 and 1983 in English and held by 3 WorldCat member libraries worldwide
Summaries are provided on the following topics: Linearized Theory including Axial Magnetic Field; NonLinear Theory; QuasiLinear Theory; and Single Particle Theory for Free Electron Laser with a strong Axial Field
3 editions published between 1980 and 1983 in English and held by 3 WorldCat member libraries worldwide
Summaries are provided on the following topics: Linearized Theory including Axial Magnetic Field; NonLinear Theory; QuasiLinear Theory; and Single Particle Theory for Free Electron Laser with a strong Axial Field
Theory of Electrostatic Probes in a Low Density Plasma by
Ira B Bernstein(
Book
)
2 editions published between 1958 and 1959 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1958 and 1959 in English and held by 2 WorldCat member libraries worldwide
Exact nonlinear plasma oscillations by
Ira B Bernstein(
Book
)
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Ion wave instabilities by
Ira B Bernstein(
Book
)
2 editions published between 1959 and 1960 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1959 and 1960 in English and held by 2 WorldCat member libraries worldwide
An energy principle for hydromagnetic stability problems by
Ira B Bernstein(
Book
)
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Waves in a plasma in a magnetic field by
Ira B Bernstein(
Book
)
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
An energy principle for hydromagnetic stability problems by
Ira B Bernstein(
Book
)
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Stability of SelfSimilar Flow. 6. Uniform Implosion of an Ablatively Driven Shell(
Book
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
The linear stability of a uniformly imploding shell, modeled as an ideal polytropic fluid, is investigated. Two types of unstable modes are found: incompressible irrotational perturbations localized at the outer surface, ascribable to RayleighTaylor instability, and compressible modes, associated with convective instability. KIDDER'S (1976) result for the RayleighTaylor modes is shown to hold independently of the form of the shell density profile. By means of a variational principle it is shown that the criterion for convective instability is the existence of a region within which the differential of p times rho to the negative gamma power in respect to r>0. Analytic solutions for both spatial and temporal dependence of the perturbations are presented, and the results applied to pellets imploded by the action of a laser or chargedparticle beam. (Author)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
The linear stability of a uniformly imploding shell, modeled as an ideal polytropic fluid, is investigated. Two types of unstable modes are found: incompressible irrotational perturbations localized at the outer surface, ascribable to RayleighTaylor instability, and compressible modes, associated with convective instability. KIDDER'S (1976) result for the RayleighTaylor modes is shown to hold independently of the form of the shell density profile. By means of a variational principle it is shown that the criterion for convective instability is the existence of a region within which the differential of p times rho to the negative gamma power in respect to r>0. Analytic solutions for both spatial and temporal dependence of the perturbations are presented, and the results applied to pellets imploded by the action of a laser or chargedparticle beam. (Author)
Parallel Concepts in the Derivation of the Classical and Quantum Boltzmann Equations(
Book
)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
The kinetic equation describing a spacially inhomogeneous dilute gas is derived from the appropriate hierarchy equations according to both classical and quantum mechanics. In the former case one obtains the Boltzmann equation, in the latter the UehlingUhlenbeck equation. The derivations in the two cases are completely parallel and assume only that twoparticle correlation functions factor into products of oneparticle functions when the two particles are separated by distances greater than the range lambda of the interaction potential, and that terms of order n(lambda cubed) <<1, where n is the particle density, may be dropped compared with terms of order unity in equations of motion. (Author)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
The kinetic equation describing a spacially inhomogeneous dilute gas is derived from the appropriate hierarchy equations according to both classical and quantum mechanics. In the former case one obtains the Boltzmann equation, in the latter the UehlingUhlenbeck equation. The derivations in the two cases are completely parallel and assume only that twoparticle correlation functions factor into products of oneparticle functions when the two particles are separated by distances greater than the range lambda of the interaction potential, and that terms of order n(lambda cubed) <<1, where n is the particle density, may be dropped compared with terms of order unity in equations of motion. (Author)
Linear Stability of SelfSimilar Flow: 1. Isothermal Cylindrical Implosion and Expansion(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
A soluble model of the development of the RayleighTaylor instability in perturbations about a timevarying state of a compressible medium is presented. A Lagrangian description is employed to rederive the equations for the selfsimilar motion of an ideal fluid and to obtain the linearized equations of motion for perturbations about a general timevarying basic state. The resulting formalism is applied in cylindrical geometry to calculate the growth of flutelike RayleighTaylor modes associated with a similarity solution modeling the implosion and expansion of a liquid liner. A complete solution is obtained for the perturbed motion. The only modes for which the perturbation amplitudes grow faster than the unperturbed linear radius are divergence and curlfree. Numerical and analytical results are obtained for these and shown to reduce in the short wavelength limit to those previously for incompressible timeindependent basic states. (Author)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
A soluble model of the development of the RayleighTaylor instability in perturbations about a timevarying state of a compressible medium is presented. A Lagrangian description is employed to rederive the equations for the selfsimilar motion of an ideal fluid and to obtain the linearized equations of motion for perturbations about a general timevarying basic state. The resulting formalism is applied in cylindrical geometry to calculate the growth of flutelike RayleighTaylor modes associated with a similarity solution modeling the implosion and expansion of a liquid liner. A complete solution is obtained for the perturbed motion. The only modes for which the perturbation amplitudes grow faster than the unperturbed linear radius are divergence and curlfree. Numerical and analytical results are obtained for these and shown to reduce in the short wavelength limit to those previously for incompressible timeindependent basic states. (Author)
Improved calculations on cascade shower theory by
Ira B Bernstein(
Book
)
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
1 edition published in 1950 in English and held by 1 WorldCat member library worldwide
Numerical simulation of tokamak electron dynamics by
William Harvey Miner(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
A multiple bounce theory for the expansion and retardation of a cold plasma explosion bubble by
Ira B Bernstein(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Linear Stability of SelfSimilar Flow. 8. Imploding Cylindrical and Spherical Shocks in the CCW Approximation(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Analytical and computational techniques are developed to investigate the stability of converging shock waves in cylindrical and spherical geometry. The linearized ChesterChisnellWhitham (CCW) equations describing the evolution of an arbitrary perturbation about an imploding shock wave in an ideal fluid are solved exactly in the strongshock limit for a density profile rho(r) approx (r to the q power). All modes are found to be relatively unstable (i.e., the ratio of perturbation amplitude to shock radius diverges as the latter goes to zero), provided that q is not too large. The nonlinear CCW equations are solved numerically for both moderate and strong shocks. The smallamplitude limit agrees with the analytical results, but some forms of perturbation which are stable at small amplitude become unstable in the nonlinear regime. The results are related to the problem of pellet compression in experiments on inertial confinement fusion. (Author)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Analytical and computational techniques are developed to investigate the stability of converging shock waves in cylindrical and spherical geometry. The linearized ChesterChisnellWhitham (CCW) equations describing the evolution of an arbitrary perturbation about an imploding shock wave in an ideal fluid are solved exactly in the strongshock limit for a density profile rho(r) approx (r to the q power). All modes are found to be relatively unstable (i.e., the ratio of perturbation amplitude to shock radius diverges as the latter goes to zero), provided that q is not too large. The nonlinear CCW equations are solved numerically for both moderate and strong shocks. The smallamplitude limit agrees with the analytical results, but some forms of perturbation which are stable at small amplitude become unstable in the nonlinear regime. The results are related to the problem of pellet compression in experiments on inertial confinement fusion. (Author)
Electron Distribution Functions in Weakly Ionized Plasma by
Ira B Bernstein(
Book
)
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
1 edition published in 1968 in English and held by 1 WorldCat member library worldwide
StartUp of a Pulsed Beam Free Electron Laser (FEL) Oscillator(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
A onedimensional linear analysis is presented of the startup of an FEL oscillator. The model treats electron beam pulses of arbitrary shape and many significant three dimensional effects are included heuristically. A closed equation is derived for the ensemble averaged electromagnetic energy density matrix which contains the spontaneous emission as a source, and which represents the small gain per pass and losses via coefficient matrices. Numerical solutions are compared with the Stanford experimental results. (Author)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
A onedimensional linear analysis is presented of the startup of an FEL oscillator. The model treats electron beam pulses of arbitrary shape and many significant three dimensional effects are included heuristically. A closed equation is derived for the ensemble averaged electromagnetic energy density matrix which contains the spontaneous emission as a source, and which represents the small gain per pass and losses via coefficient matrices. Numerical solutions are compared with the Stanford experimental results. (Author)
Runaway electrons in an ideal Lorentz plasma by
Ira B Bernstein(
Book
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
On the explosion of a supernova into the interstellar magnetic field  Part II by
Ira B Bernstein(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Book, D. L. (David Lincoln) 1939 Author
 Naval Research Laboratory (U.S.). Plasma Dynamics Branch
 Princeton University Plasma Physics Laboratory
 Naval Research Laboratory (U.S.)
 U.S. Atomic Energy Commission
 U.S. Atomic Energy Commission Technical Information Service
 Rokhlin, V.
 NAVAL RESEARCH LAB WASHINGTON DC
 Book, David L.
 Hirshfield, J. L.
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Associated Subjects
Boundary element methods Bremsstrahlung Cascade shower Differential equations Diffusion Electrodynamics Electromagnetic fields Electron distribution Ionization Ionization of gases Isothermal transformation diagrams Magnetic fields Nuclear physics Numerical analysis Oscillations Pair production Plasma (Ionized gases) Similarity (Physics) Trappedparticle instabilities Waves
Alternative Names
Ira B. Bernstein amerikansk fysikar
Ira B. Bernstein amerikansk fysiker
Ira B. Bernstein physicien américain
Ira B. Bernstein USamerikanischer Physiker
ایرا بی برنشتین فیزیکدان آمریکایی
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