Publications and Reports

Task A: Nonlinear Dynamics and Computation of Charged Particle Beam Transport

Papers

TRAPPED ORBITS IN A MAGNETIC DIPOLE FIELD, Rev. Geophys. 3: 255-98 (1965).

CLASSIFICATION OF THREE PARTICLE STATES ACCORDING TO SU(3), J. Math. Phys. 6: 533-53 (1965).

RELATIVISTIC THREE-PARTICLE SU(3) STATES, J. Math. Phys. 6: 1621-25 (1965).

NEW THEOREMS ABOUT SPHERICAL HARMONIC EXPANSIONS AND SU(2), with B. Beers, J. of Math. Phys. 11: 2313-2328 (1970).

ROTATIONAL ANALYTICITY OF THE S-MATRIX, with G. Sterman, Phys. Rev. D10: 2, 663-674 (1974).

INSOLUBILITY OF TRAPPED PARTICLE MOTION IN A MAGNETIC DIPOLE FIELD, with J. Finn, J. Geophys. Res., 81: 2327-2340 (1976).

LIE SERIES AND INVARIANT FUNCTIONS FOR ANALYTIC SYMPLECTIC MAPS, with J. Finn, J. Math. Phys. 17: 2215-2227 (1976).

NORMAL FORM FOR MIRROR MACHINE HAMILTONIANS, with J. Finn, J. Math. Physics, 20, 2649-2660, (1979).

A METHOD OF TRANSFER MAPS FOR LINEAR AND NONLINEAR BEAM ELEMENTS, IEEE Transactions on Nuclear Science, NS-26, No. 3, 3601-3603, (1979).

TRANSFER MAP APPROACH TO THE BEAM-BEAM INTERACTION, Nonlinear Dynamics and the Beam-Beam Interaction, pp. 143-157, M. Month and J. Herrera, Edit., American Institute of Physics Proceedings #57, (1979).

ANALYSIS OF THE BEAM-BEAM INTERACTION USING TRANSFER MAPS, with O. Jakubowicz. Proceedings of SLAC Symposium on the Beam-Beam Interaction, SLAC-PUB-2624, Stanford University, Stanford, California, (1980).

EXACT NUMERICAL CALCULATION OF CHROMATICITY IN SMALL RINGS, IEEE Transactions on Nuclear Science, NS-28, p. 2627 (1981).

CHARGED PARTICLE BEAM TRANSPORT USING LIE ALGEBRAIC METHODS, with D. Douglas, IEEE Transactions on Nuclear Science, NS-28, p. 2522 (1981).

A LIE ALGEBRAIC THEORY OF GEOMETRICAL OPTICS AND OPTICAL ABERRATIONS, J. Opt. Sci. Am. 72, p. 372 (1982).

EXACT NUMERICAL CALCULATION OF CHROMATICITY IN SMALL RINGS, Particle Accelerators 12, pp. 205-218 (1982).

LECTURES ON NONLINEAR ORBIT DYNAMICS, published in Physics of High Energy Particle Accelerators, American Institute of Physics Conference Proceedings No. 87, R.A. Carrigan et al., editors (1982).

LIE ALGEBRAIC METHOD FOR CHARGED PARTICLE BEAM TRANSPORT AND PARTICLE TRACKING, with D. Douglas, published in Proceedings of the Brookhaven Conference on Accelerator Orbit and Particle Tracking Programs, Brookhaven National Laboratory Report BNL-31761 (1982).

COMPUTATION OF NONLINEAR BEHAVIOR OF HAMILTONIAN SYSTEMS USING LIE ALGEBRAIC METHODS, with E. Forest, J. Math. Physics 24, p. 2734 (1983).2734 (1983).

MARYLIE, THE MARYLAND LIE ALGEBRAIC BEAM TRANSPORT AND PARTICLE TRACKING PROGRAM, with D. Douglas, IEEE Trans. Nuc. Sci., NS-30, p. 2442 (1983).

LIE ALGEBRAIC METHODS FOR PARTICLE TRACKING CALCULATIONS, with D. Douglas, Proceedings of the 12th International Conference on High-Energy Accelerators, F.T. Cole and R. Donaldson, Edit., Fermilab (1983).

PARTICLE TRACKING USING LIE ALGEBRAIC METHODS, with D. Douglas, Computing in Accelerator Design and Operation, W. Busse and R. Zelazny, Edit., Lecture Notes in Physics 215, Springer-Verlag (1984).

NONLINEAR LATTICE FUNCTIONS, Proceedings of 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado, R. Donaldson and J. Morfin, edit., published by the Division of Particles and Fields of the American Physical Society (1985).

AN EXPERIMENTAL PROPOSAL TO USE THE TEVATRON AS AN AID TO SSC DESIGN BY TESTING OUR UNDERSTANDING OF EFFECTS CONTROLLING DYNAMIC APERTURE, with T. Collins et al., Proceedings of 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado, R. Donaldson and J. Morfin, edit., published by the Division of Particles and Fields of the American Physical Society (1985).

MARYLIE 3.0 - A PROGRAM FOR NONLINEAR ANALYSIS OF ACCELERATOR AND BEAMLINE LATTICES, with L. Healy et al., IEEE Transactions on Nuclear Science, NS-32,p. 2311 (1985).

FOUNDATIONS OF A LIE ALGEBRAIC THEORY OF GEOMETRICAL OPTICS, with E. Forest and K. Wolf, published in Lie Methods in Optics, J.S. Mondragon and K.B. Wolf, editors, Springer-Verlag (1986).

LIE ALGEBRAIC THEORY OF CHARGED PARTICLE OPTICS AND ELECTRON MICROSCOPES, with E. Forest, Advances in Electronics and Electron Physics, vol. 67, P. Hawkes, edit., Academic Press (1986).

ELEMENTARY AND ADVANCED LIE ALGEBRAIC METHODS WITH APPLICATIONS TO ACCELERATOR DESIGN, ELECTRON MICROSCOPES, AND LIGHT OPTICS, Nuclear Instruments and Methods in Physics Research A258, 339 (1987).

INFLUENCE OF STRONGLY CURVED LARGE-BORE SUPERCONDUCTING BENDING MAGNETS ON THE OPTICS OF STORAGE RINGS, with H. Moser, Nucl. Instrum. Meth. Phys. Res. B24/25, p. 877 (1987).

SCALING LAWS FOR ABERRATIONS IN MAGNETIC QUADRUPOLE LENS SYSTEMS, with R. Moses et al., Proceedings of the 1987 IEEE Particle Accelerator Conference, Vol. 3,p. 1764 (1987).

LIE ALGEBRAIC TREATMENT OF SPACE CHARGE, with R. Ryne, Proceedings of the 1987 IEEE Particle Accelerator Conference, Vol. 2, p. 1063 (1987).

NUMERICAL COMPUTATION OF TRANSFER MAPS USING LIE ALGEBRAIC METHODS, with R. Ryne, Proceedings of the 1987 IEEE Particle Accelerator Conference, Vol. 2, p. 1081 (1987).

LIE ALGEBRAIC METHODS FOR TREATING LATTICE PARAMETER ERRORS IN ACCELERATORS, with L. Healy, Proceedings of the 1987 IEEE Particle Accelerator Conference, Vol. 2, p. 1060 (1987).

NONLINEAR BEAM OPTICS WITH REAL FIELDS IN COMPACT STORAGE RINGS, with H. Moser, Nucl. Instrum. Meth. Phys. Res. B30, p. 105 (1988).

LIE ALGEBRAIC METHODS FOR CHARGED PARTICLE OPTICS, AIP Conference Proceedings 177, C. Eminhizer, edit. (1988).

LIE ALGEBRAIC TREATMENT OF LINEAR AND NONLINEAR BEAM DYNAMICS, with F. Neri et al., Annual Review of Nuclear and Particle Science 38, p. 455 (1988).

ANALYSIS OF TRACKING DATA USING NORMAL FORMS, with F. Neri, proceedings of the Rome Accelerator Conference (1988).

CONCATENATION OF LIE ALGEBRAIC MAPS, with L. Healy, Lecture Notes in Physics 352: Lie Methods in Optics II, Springer Verlag (1989).

THEORY OF EMITTANCE INVARIANTS, with R. Gluckstern et al., Lecture Notes in Physics 343: Proceedings of the Joint US-CERN Capri School on Accelerator Physics, Springer Verlag (1989).

GENERALIZED EMITTANCE INVARIANTS, with G. Rangarajan et al., Proceedings of the IEEE Accelerator Conference, p. 1280 (1989).

SOLVABLE MAP REPRESENTATION OF A NONLINEAR SYMPLECTIC MAP, with G. Rangarajan et al., Particle Accelerators 28, p. 119 (1990).

RELEASE OF MARYLIE 3.0, with F. Neri et al., Proceedings of the IEEE Accelerator Conference, p. 1283 (1989).

NUMERICAL THIRD-ORDER TRANSFER MAP FOR SOLENOID, Nuclear Instruments and Methods A298, p. 441 (1990).

ANALYTIC THIRD-ORDER TRANSFER MAP FOR COMBINED-FUNCTION QUADRUPOLE, with J. van Zeijts et al., to be submitted to Nuclear Instruments and Methods (1990).

NUMERICAL THIRD-ORDER TRANSFER MAP FOR SOLENOID, Nuclear Instruments and Methods A298, p. 441 (1990).

MAGNETIC OPTICS CALCULATIONS FOR CYLINDRICALLY SYMMETRIC BEAMS WITH SPACE CHARGE, with R. Ryne, Particle Accelerators 35, p. 129 (1991).

COMPUTATION OF ERROR EFFECTS IN NONLINEAR HAMILTONIAN SYSTEMS USING LIE ALGEBRAIC METHODS, with L. Healy et al., J. Math. Phys. 33, p. 1948 (1992).

GENERAL MOMENT INVARIANTS FOR LINEAR HAMILTONIAN SYSTEMS, with F. Neri et al., Physical Review A, 45, p. 2572 (1992).

COMMENT ON ROUND-OFF ERRORS AND ON ONE-TURN TAYLOR MAPS, with Y. Yan et al., Nonlinear Problems in Future Particle Accelerators, W. Scandale and G. Turchetti, Ed., World Scientific (1991).

KICK FACTORIZATION OF SYMPLECTIC MAPS, with I.M. Gjaja and G. Rangarajan, Proceedings of the IEEE Accelerator Conference, p. 1621 (1991).

INVARIANT METRICS FOR HAMILTONIAN SYSTEMS, with G. Rangarajan and F. Neri, Proceedings of the IEEE Accelerator Conference, p. 1630 (1991).

JOLT FACTORIZATION OF SYMPLECTIC MAPS, with D.T. Abell, Int. J. Mod. Phys. A (Proc. Suppl.) 2B, p. 1019 (World Scientific, 1993).

A COMPARISON OF METHODS FOR LONG-TERM TRACKING USING SYMPLECTIC MAPS, with I. Gjaja and D.T. Abell, Proceedings of the Berlin Workshop on Nonlinear Problems in Accelerator Physics , Institute of Physics Conference Series Number 131, M. Berz, S. Martin, and K. Ziegler, Edit. (Institute of Physics, Bristol and Philadelphia, 1993).

TAYLOR SERIES MAPS AND THEIR DOMAIN OF CONVERGENCE, with D.T. Abell, Stability of Particle Motion in Storage Rings, AIP Conference Proceedings No. 292, M. Month, A. Ruggiero, and W. Weng, Edit. (American Institute of Physics, 1994).

THE MODERN APPROACH TO SINGLE PARTICLE DYNAMICS FOR CIRCULAR RINGS, with E. Forest et al., Stability of Particle Motion in Storage Rings, AIP Conference Proceedings No. 292, M. Month, A. Ruggiero, and W. Weng, Edit. (American Institute of Physics, 1994).

SYMPLECTIC MAPS AND COMPUTATION OF ORBITS IN PARTICLE ACCELERATORS, with D.T. Abell, Integration Algorithms and Classical Mechanics, eds. J.E. Marsden, G.W. Patrick, and W.F. Shadwick, Fields Institute Communications, Vol. 10, American Mathematical Society (Providence, RI, 1996).

CREMONA SYMPLECTIFICATION OF TAYLOR MAPS, with D.T. Abell, University of Maryland Physics Department preprint (1995).

A LIE CONNECTION BETWEEN HAMILTONIAN AND LAGRANGIAN OPTICS, to be published electronically by CompSciNet (1997).

COMPUTATION OF MAPS BY SCALING, SPLITTING, AND SQUARING, Phys. Rev. Lett. 75, p. 1946 (1995).

DESIGN FEATURES OF A SMALL ELECTRON RING FOR STUDY OF RECIRCULATING SPACE-CHARGE DOMINATED BEAMS, with M. Reiser et al., Fusion Engineering and Design, 32-33, (1996).

INJECTOR AND MATCHING SECTION DESIGN FOR A MODEL ELECTRON RING, with S. Bernal et al., University of Maryland Physics Department preprint (1995).

SINGLE-PARTICLE DYNAMICS STUDY FOR THE UNIVERSITY OF MARYLAND ELECTRON RING, with M. Venturini et al., Fusion Engineering and Design, 32-33, 283 (1996).

SUMMARY OF THE WORKING GROUP ON MAPS, Particle Accelerators, p. 253 (1996).

DESIGN OF OPTIMAL TRUNCATED POWER SERIES ALGEBRA ROUTINES: I. MONOMIAL INDEXING SCHEMES AND LINKED LISTS, with D.T. Abell and H. Ye, University of Maryland Physics Department preprint (1996).

DESIGN OF OPTIMAL TRUNCATED POWER SERIES ALGEBRA ROUTINES: II. COMPUTING SUMS AND ORDINARY AND LIE PRODUCTS OF POLYNOMIALS USING MONOMIAL INDEXING OR LINKED LISTS, with M. Venturini, University of Maryland Physics Department preprint (1996).

LIE ALGEBRAIC METHODS FOR RAY AND WAVE OPTICS, University of Maryland Physics Department preprint (1998).

MAP COMPUTATION FROM MAGNETIC FIELD DATA AND APPLICATIONS TO THE LHC HIGH GRADIENT QUADRUPOLES, with M. Venturini and D. Abell, Proceedings of the 1998 International Computational Accelerator Physics Conference (1998).

TAYLOR MAPS, with J. Irwin, Handbook of Accelerator Physics and Engineering, A. Chao and M. Tigner, Edit., World Scientific (1999).

LIE MAPS, Handbook of Accelerator Physics and Engineering, A. Chao and M. Tigner, Edit., World Scientific (1999).

COMPUTING TRANSFER MAPS FROM MAGNETIC FIELD DATA, with M. Venturini, Proceedings of the 1999 International Particle Accelerator Conference (1999).

ACCURATE COMPUTATION OF TRANSFER MAPS FROM MAGNETIC FIELD DATA, with M. Venturini, Nuclear Instruments and Methods, A427, p. 387 (1999).

COMPUTATION OF CHARGED-PARTICLE TRANSFER MAPS FOR GENERAL FIELDS AND GEOMETRIES USING ELECTROMAGNETIC BOUNDARY-VALUE DATA, with P. Walstrom et al., submitted to Physical Review Special Topics (2000).

Reports

NOTES ON THE POINCARE GROUP, U. OF MD. DEPT. OF PHYS. AND ASTR. TR #700 (36pp) (1967).

LECTURE NOTES ON THE POINCARE GROUP AND S-MATRIX THEORY (160pp) (1968).

STABILITY OF CHARGED PARTICLE MOTION IN A MAGNETIC DIPOLE FIELD: A PRELIMINARY REPORT OF NUMERICAL STUDIES, with John Finn, U. of Md. Dept. of Phys. and Astron. TR #73-074 (23pp) (1972).

LECTURES ON LIE GROUPS (37 pp) (1972).

LECTURES ON CLASSICAL MECHANICS (140 pp of finished text + 420 pp of less formal notes) (1981).

ABERRATIONS OF GENERAL LENS SYSTEMS WITH AXIAL SYMMETRY, (10 pp.) (1982).

LECTURES ON LIE GROUPS (37pp) (1972).

USE OF MARYLIE TO COMPUTE SECOND- AND THIRD-ORDER ABERRATIONS, with R. Ryne (1986).

A COMPARISON OF THIRD-ORDER GEOMETRIC ABERRATIONS AND SECOND- AND THIRD-ORDER CHROMATIC ABERRATIONS FOR QUADRUPOLE SYSTEMS AS COMPUTED BY MARYLIE, GIOS, AND TRANSPORT (1986).

MARYLIE 3.0, A PROGRAM FOR CHARGED PARTICLE BEAM TRANSPORT BASED ON LIE ALGEBRAIC METHODS, with R. Ryne, D. Douglas et. al., 500 pp. (1995).

OPTIMZATION OF MULTIPLE OCTUPOLE STRENGTHS FOR CORRECTION OF TELESCOPE ABERRATIONS, with C.T. Mottershead (1989).

REVIEW OF THE SLAC FINAL FOCUS TEST BEAM FACILITY (1990).

CHROMATICITY OF THE LOS ALAMOS NATIONAL LABORATORY PROTON STORAGE RING (1992).

LECTURES ON NONLINEAR DYNAMICS AND LIE METHODS WITH APPLICATIONS TO ACCELERATOR PHYSICS (500 pp.) (1997).

DESIGN OF OPTIMAL TRUNCATED POWER SERIES ALGEBRA ROUTINES: I. MONOMIAL INDEXING SCHEMES AND LINKED LISTS (1996).

DESIGN OF OPTIMAL TRUNCATED POWER SERIES ALGEBRA ROUTINES: II. COMPUTING SUMS AND ORDINARY AND LIE PRODUCTS OF POLYNOMIALS USING MONOMIAL INDEXING SCHEMES OR LINKED LISTS (1996).

REVIEW OF THE FERMILAB RECYCLER PROJECT (1997).

Task B: Computation of Electromagnetic Fields and Beam-Cavity Interactions

Papers

ELECTRON CAPTURE AND LOSS BY IONS IN GASES, Phys. Rev. 98, 1817 (1955).

FOCUSING IN LINEAR ION ACCELERATORS, with L. Smith, Rev. of Sci. Instr. 26, 220 (1955).

MOTT-SCATTERING ANALYSIS OF LONGITUDINAL POLARIZATION OF ELECTRONS FROM Co60, with J.S. Greenberg, D.P. Malone and V.W. Hughes, Phys. Rev. 120, 1393 (1960).

RELATIVISTIC ELECTRODYNAMICS, McGraw-Hill Encyclopedia of Science and Technology, Vol. IIm 427 (1960).

HEAVY-ION LINEAR ACCELERATOR, with E.L. Hubbard, W.R. Baker, K.W. Ehlers, H.S. Gordon, R.M. Main, N.J. Norris, R. Peters, L. Smith, C.M. Van Atta, F. Voelker, C.E. Anderson, R. Beringer, W.J. Knox, M.S. Malkin, A.R. Quinton, L. Schwarcz and G. W. Wheeler, Rev. of Sci. Instr. 32, 621 (1969).

UNCERTAINTIES IN TRACK MOMENTUM AND DIRECTION, DUE TO MULTIPLE SCATTERING AND MEASUREMENT ERRORS, Nuclear Instruments and Methods 24, 381 (1963).

DETERMINATION OF BUBBLE DENSITY, Nuclear Instruments and Methods 45, 166 (1966).

EFFECT OF MULTIPLE SCATTERING ON MEASUREMENT OF TRACK MOMENTUM AND DIRECTION, Nuclear Instruments and Methods 56, 145 (1967).

NONLINEAR EFFECTS, Linear Accelerators, North Holland Publishing Co., Amsterdam, Chapter 1.2d, pp. 797-804 (1970).

SPACE CHARGE EFFECTS, Linear Accelerators, North Holland Publishing Co., Amsterdam, Chapter 1.3d, pp. 827-836 (1970).

EMITTANCE, ENTROPY AND INFORMATION, with J.D. Lawson, and P.M. Lapostolle, Particle Accelerators, Vol. 5, pp. 61-65 (1973).

EFFECT OF BEAM WIDTH ON THE INCOHERENT TUNE-SHIFT DUE TO IMAGE FORCES, with M. Month, Particle Accelerators, Vol. 6, pp. 19-26 (1974).

DISTRIBUTION OF THE MAXIMUM ORBIT DISTORTION FOR RANDOMLY DISTRIBUTED MISALIGNMENTS, Particle Accelerators, Vol. 8, p. 203 (1978).

HIGHER-ORDER TERMS IN A PERTURBATION EXPANSION FOR THE IMPEDANCE OF A CORRUGATED WAVEGUIDE, with S. Krinsky, IEEE Transactions on Nuclear Science, Vol. NS-28, 2621 (1981).

CLOSED ORBIT DISTORTION AND BEAM TILT DUE TO CUMULATIVE DEFLECTION BY RF CAVITIES, with K. Hirata and T. Suzuki, Nuclear Instruments and Methods, 227, 420 (1984).

CUMULATIVE BEAM BREAKUP IN RF LINACS, with R.K. Cooper and P.J. Channell, Particle Accelerators, 16, 125 (1985).

CUMULATIVE BEAM BREAKUP WITH RANDOMLY FLUCTUATING PARAMETERS, with F. Neri and R.K. Cooper, Particle Accelerators 23, 37 (1988).

CUMULATIVE BEAM BREAKUP WITH SMOOTHLY VARYING PARAMETERS, with F. Neri and R.K. Cooper, Particle Accelerators 23, 53 (1988).

BEAM BREAKUP WITH COUPLING BETWEEN CAVITIES, with F. Neri, Particle Accelerators, 25, 11 (1989).

HIGH FREQUENCY BEHAVIOR OF THE LONGITUDINAL IMPEDANCE FOR A CAVITY OF GENERAL SHAPE, Phys. Rev. D, 39, 2773 (1989).

LONGITUDINAL IMPEDANCE OF A PERIODIC STRUCTURE AT HIGH FREQUENCY, Phys. Rev. D, 39, 2780 (1989).

ELECTRIC POLARIZABILITY AND MAGNETIC SUSCEPTIBILITY OF SMALL HOLES IN A THIN SCREEN, with R. Li and R.K. Cooper, IEEE Transactions in Microwave Theory and Techniques, Vol. 38, No. 2., 186 (1990); see also Vol. 38, No. 10 (1990), pp.1529-1530.

CALCULATION OF UNIVERSAL SCALING FUNCTION FOR FREE ELECTRON LASER GAIN, with L.H. Yu and S. Krinsky, Phys. Rev. Letters, 64, 3011 (1990).

PENETRATION OF FIELDS THROUGH A CIRCULAR HOLE IN A WALL OF FINITE THICKNESS, with J.A. Diamond, IEEE Transactions in Microwave Theory and Techniques, Vol. 39, No. 2, 274 (1991).

ANALYSIS OF COAXIAL WIRE MEASUREMENT OF LONGITUDINAL COUPLING IMPED
ANCE, with Rui Li, Particle Accelerators 29, 159 (1990).

SLOTTED CYLINDRICAL SHELL FOR USE AS A COMPACT WIGGLER, Phys. Rev. A15, 44, 3889 (1991).

THE EFFECT OF WIGGLER ERRORS ON FEL GAIN, with L.H. Yu, S. Krinsky, and J.B.J. van Zeijts, Phys. Rev. A15, 45, 1163 (1992).

COUPLING IMPEDANCE OF A SINGLE HOLE IN A THICK WALL BEAM PIPE, Phys. Rev. A15, 46, 1106 (1992).

COUPLING IMPEDANCE OF MANY HOLES IN A LINER WITHIN A BEAM PIPE, Phys. Rev. A15, 46, 1110 (1992).

VARIATIONAL FORMULATION FOR LINEAR OPTICS IN A PERIODIC FOCUSSING SYSTEM, with F. Ruggiero, Particle Accelerators, 39, 125 (1992).

THE TRANSVERSE WAKEFIELD OF A DETUNED X-BAND ACCELERATOR STRUCTURE, with K.L.F. Bane, Particle Accelerators, 42, 123 (1993).

COUPLING IMPEDANCE OF BEAM PIPES OF GENERAL CROSS SECTION, with J. van Zeijts and B. Zotter, Phys. Rev. E, 47, 656 (1993).

AN ANALYSIS OF THE SATURATION OF A HIGH GAIN FEL, with S. Krinsky and H. Okamoto, Physical Review E, 47, 4412 (1993).

SYNCHROBETATRON-COUPLING EFFECTS IN ALTERNATING PHASE FOCUSSING LINACS, with W-H Cheng and H. Okamoto, Phys. Rev E, 48, 4689 (1993).

DESIGN AND SIMULATION OF ACCELERATING STRUCTURES FOR FUTURE LINEAR COLLIDERS, with K.A. Thompson et al., Particle Accelerators, 47, 65 (1994).

ANALYTIC MODEL FOR HALO FORMATION IN HIGH CURRENT ION LINACS, Phys. Rev. Letters 73. 1247 (1994).

LONGITUDINAL AND TRANSVERSE IMPEDANCE OF AN IRIS IN A BEAM PIPE, with H. Okamoto and S. Jiang, Phys. Rev. E 50, 1501 (1994).

PENETRATION OF ELECTROMAGNETIC FIELDS THROUGH AN ELLIPTICAL HOLE IN A WALL OF FINITE THICKNESS, with B. Radak, IEEE Trans. on Microwave Theory and Techniques, 43, 194 (1995).

TRANSVERSE STABILITY OF BUNCH TRAINS, R.L. Gluckstern, H. Okamoto, B. Zotter, , Phys. Rev. E 52, 1026 (1995).

FREQUENCY DEPENDENCE OF THE PENETRATION OF ELECTROMAGNETIC FIELDS THROUGH A SMALL COUPLING HOLE IN A THICK WALL, W-H. Cheng, A.V. Fedotov and R.L. Gluckstern, Phys. Rev. E 52. 3127 (1995).

THE COUPLING IMPEDANCE OF PERIODIC IRISES IN A BEAM PIPE, S. Jiang, R.L. Gluckstern and H. Okamoto, Particle Accelerators 52, 179 (1996).

COUPLING IMPEDANCES OF SMALL DISCONTINUITIES: A GENERAL APPROACH, S.S. Kurennoy, R.L. Gluckstern and G.V. Stupakov, Phys. Rev. E 52, 4354 (1995).

STABILITY OF A UNIFORM-DENSITY BREATHING BEAM WITH CIRCULAR CROSS SECTION, R.L. Gluckstern, Wen-Hao Cheng and Huanchun Ye, Phys. Rev. Letters 75, 2835 (1995).

FREQUENCY DEPENDENCE OF THE PENETRATION OF ELECTROMAGNETIC FIELDS THROUGH AN ELLIPTICAL HOLE IN A THIN METALLIC WALL, A.V. Fedotov and R.L. Gluckstern, Phys. Rev. E 54. 1930 (1996).

STABILITY AND HALO FORMATION OF A BREATHING AXISYMMETRIC UNIFORM-DENSITY BEAM, R.L. Gluckstern, W-H., Cheng, S.S. Kurennoy, and H-C. Ye, Phys. Rev. E 54, 6788 (1996).

LONGITUDINAL WAKEFIELD FOR AN ELECTRON MOVING ON A CIRCULAR ORBIT, J. Murphy, S. Krinsky, and R.L. Gluckstern, in Particle Accelerators.

COUPLING IMPEDANCES OF AZIMUTHALLY SYMMETRIC OBSTACLES OF SEMI-ELLIPTIC SHAPE IN A BEAM PIPE, R.L. Gluckstern and S.S. Kurennoy, in Phys. Rev. E (1997).

ANALYTIC AND NUMERICAL ANALYSIS OF THE LONGITUDINAL COULPING IMPEDANCE OF A RECTANGULAR SLOT IN A THIN COAXIAL LINER, A.V. Fedotov and R.L.Gluckstern, Phys. Rev. E, Vol. 56, (1997).

IMPEDANCE AND RESONANCE ISSUES FOR A LONG RECTANGULAR SLOT IN A COAXIAL LINER, A.V. Fedotov and R.L.Gluckstern, Phys. Rev. E, Vol. 56, (1997).

LONGITUDINAL COUPLING IMPEDANCE OF A SMALL HOLE IN A COAXIAL LINER NEAR THE CUTOFF FREQUENCIES, A.V. Fedotov and R.L.Gluckstern, Phys. Rev. ST Accel. Beams 1, 024401, (1998).

HALO FORMATION IN 3-D BUNCHES, R.L.Gluckstern, A.V. Fedotov, S.S.Kurennoy and R.D.Ryne, Phys. Rev. E, Vol. 58, 4977, (1998).