Bernstein, Ira B.
Overview
Works:  37 works in 60 publications in 1 language and 159 library holdings 

Roles:  Author 
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 51 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 51 WorldCat member libraries worldwide
Improved calculations on cascade shower theory by
Ira B Bernstein(
)
5 editions published between 1950 and 1951 in English and held by 24 WorldCat member libraries worldwide
5 editions published between 1950 and 1951 in English and held by 24 WorldCat member libraries worldwide
Exact nonlinear plasma oscillations by
Ira B Bernstein(
Book
)
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
An energy principle for hydromagnetic stability problems by
Ira B Bernstein(
Book
)
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
An energy principle for hydromagnetic stability problems by
Ira B Bernstein(
Book
)
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
Waves in a plasma in a magnetic field by
Ira B Bernstein(
Book
)
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 8 WorldCat member libraries worldwide
A rapid numerical procedure for determining axisymmetric transverse electric electromagnetic fields via boundary integrals by
Ira B Bernstein(
Book
)
3 editions published in 1988 in English and held by 6 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)
3 editions published in 1988 in English and held by 6 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)
Plasma oscillations with diffusion in velocity space by
Andrew Lenard(
Book
)
2 editions published in 1958 in English and held by 6 WorldCat member libraries worldwide
A model of plasma oscillations in the presence of small angle collisions is presented which admits of exact analytic solution. Certain features of the true collsion terms are preserved. Namely, the effect of collisions is represented by a diffusion in velocity space, which makes the distribution function tend to the Maxwell distribution, and which conserves the number of particles. In the limit of infrequent collisions the results of Landau are recovered
2 editions published in 1958 in English and held by 6 WorldCat member libraries worldwide
A model of plasma oscillations in the presence of small angle collisions is presented which admits of exact analytic solution. Certain features of the true collsion terms are preserved. Namely, the effect of collisions is represented by a diffusion in velocity space, which makes the distribution function tend to the Maxwell distribution, and which conserves the number of particles. In the limit of infrequent collisions the results of Landau are recovered
Kinetic theory of waves in plasmas by
Ira B Bernstein(
Book
)
4 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1963 in English and held by 5 WorldCat member libraries worldwide
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
Transport techniques for describing the elastic scattering of energetic electrons : memorandum report by
D. J Strickland(
Book
)
3 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
An equation of transfer for elastic scattering, and the corresponding FokkerPlanck equation are solved for strongly forwardpeaked scattering. The cross sections employed are appropriate to kilovolt electrons scattering off light nuclei. Results are shown for which the backscattered flux calculated with the transfer equation is sensitive to the cross section at large angles, indicating that single largeangle scattering can be important even though the cross section for it many contribute but a small fraction of the total cross section. Solutions of the FokkerPlanck equation agree well with those of the counterpart integral equation, provided sufficient scatters are present to make multiple small angle scattering dominant. For thin systems, the FokkerPlanck results for backscatter fall below the integralequation results. The integral equation of transfer has been solved both numerically and in terms of its eigenfunctions and eigenvalues. Solutions by the two distinct methods agree to at least three significant places, thereby establishing the accuracy of the applied numerical techniques
3 editions published in 1975 in English and held by 3 WorldCat member libraries worldwide
An equation of transfer for elastic scattering, and the corresponding FokkerPlanck equation are solved for strongly forwardpeaked scattering. The cross sections employed are appropriate to kilovolt electrons scattering off light nuclei. Results are shown for which the backscattered flux calculated with the transfer equation is sensitive to the cross section at large angles, indicating that single largeangle scattering can be important even though the cross section for it many contribute but a small fraction of the total cross section. Solutions of the FokkerPlanck equation agree well with those of the counterpart integral equation, provided sufficient scatters are present to make multiple small angle scattering dominant. For thin systems, the FokkerPlanck results for backscatter fall below the integralequation results. The integral equation of transfer has been solved both numerically and in terms of its eigenfunctions and eigenvalues. Solutions by the two distinct methods agree to at least three significant places, thereby establishing the accuracy of the applied numerical techniques
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
Numerical simulation of tokamak electron dynamics by
William Harvey Miner(
Book
)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
In a tokamak, the electron distribution deviates from a Maxwellian. This is because the magnetically untrapped electrons moving parallel to the applied electric field tend to run away. Because of the presence of trapped electrons, the distribution also departs from the ChapmanEnskog solution of the weak electric field problem. Previous analytic and numerical methods have treated this distortion in the limit of vanishingly small electric fields, a vanishing small number of trapped electrons, or both. We present a numerical method which relaxes these limitations, and illustrate the distribution functions which result from it. (Author)
2 editions published in 1981 in English and held by 2 WorldCat member libraries worldwide
In a tokamak, the electron distribution deviates from a Maxwellian. This is because the magnetically untrapped electrons moving parallel to the applied electric field tend to run away. Because of the presence of trapped electrons, the distribution also departs from the ChapmanEnskog solution of the weak electric field problem. Previous analytic and numerical methods have treated this distortion in the limit of vanishingly small electric fields, a vanishing small number of trapped electrons, or both. We present a numerical method which relaxes these limitations, and illustrate the distribution functions which result from it. (Author)
Hydromagnetic instabilities caused by runaway electrons by
J. M Dawson(
)
1 edition published in 1958 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1958 in English and held by 2 WorldCat member libraries worldwide
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
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
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
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)
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
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)
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Princeton University Plasma Physics Laboratory
 Book, D. L. (David Lincoln) 1939 Author
 Naval Research Laboratory (U.S.). Plasma Dynamics Branch
 U.S. Atomic Energy Commission New York Operations Office
 U.S. Atomic Energy Commission
 Kruskal, Martin D. (Martin David) 19252006
 Brookhaven National Laboratory
 Frieman, E. A.
 Project Matterhorn
 U.S. Atomic Energy Commission Technical Information Service
Useful Links
Associated Subjects
Boundary element methods Bremsstrahlung Cascade shower Differential equations Diffusion Elastic scattering Electrodynamics Electromagnetic fields Electron distribution Electrons ElectronsScattering Electron transport Ionization Ionization of gases Isothermal transformation diagrams Kinetic theory of gases Magnetic fields Magnetohydrodynamic instabilities Nuclear physics Numerical analysis Oscillations Pair production Plasma (Ionized gases) Plasma oscillations Similarity (Physics) Smallangle scattering Trappedparticle instabilities Waves
Alternative Names
Ira B. Bernstein Amerikaans natuurkundige
Ira B. Bernstein amerikansk fysikar
Ira B. Bernstein amerikansk fysiker
Ira B. Bernstein físico estadounidense
Ira B. Bernstein physicien américain
Ira B. Bernstein USamerikanischer Physiker
ایرا بی برنشتین فیزیکدان آمریکایی
Languages