Analytic method for evaluation of the field of a charge traversing a geometric discontinuity

Banna, S.; Scha¨chter, L.
April 2002
Applied Physics Letters;4/22/2002, Vol. 80 Issue 16, p2842
Academic Journal
An analytic time-domain method is developed for the electromagnetic field generated by a charge traversing a geometric discontinuity. The essence of the method employed here is to use the linear independence of the exponential functions, that control the temporal behavior of the field. As a result, we avoid the large (“infinite”) matrix inversion necessary for a frequency-domain solution. This method was utilized for the investigation of the wake generated by electrons in an optical accelerator as well as evaluation of the emittance growth and energy spread. © 2002 American Institute of Physics.


Related Articles

  • A Modification of Newton's Method for Analytic Mappings Having Multiple Zeros. Kravanja, P.; Haegemans, A. // Computing;1999, Vol. 62 Issue 2, p129 

    We propose a modification of Newton's method for computing multiple roots of systems of analytic equations. Under mild assumptions the iteration converges quadratically. It involves certain constants whose product is a lower bound for the multiplicity of the root. As these constants are usually...

  • Beurling's analyticity theorem. Neuberger, J.W. // Mathematical Intelligencer;Summer93, Vol. 15 Issue 3, p34 

    Describes the real variable result and implications of Beurling's analyticity theorem. Theorem's root in the author's paper `A quasi-analyticity condition in terms of finite differences'; Connections with the study of quasi-analyticity; Relationships with the study of semigroups of linear...

  • The Maclaurin Series for Performance Functions of Markov Chains. Cao, Xi-Ren // Advances in Applied Probability;Sep98, Vol. 30 Issue 3, p676 

    Investigates a study which shows how a Maclaurin series for the performance measures is obtained for Markov chains. Details of the Maclaurin series for irreducible Markov chains; Consideration of Markov chains which consist of transient states of closed irreducible set; Conclusion.

  • Some Criteria for Multivalently Starlikeness. Yang, Dinggong // Southeast Asian Bulletin of Mathematics;2000, Vol. 24 Issue 3, p491 

    Abstract. Let S[sub n](p)(p, n is an element of N) be the class of functions f(z) = z[sup p] + a[sub p+n] z[sup p+n] + ... which are p-valently starlike in the unit disk. Some sufficient conditions for a function f(z) to be in the class S[sub n] (p) are given.

  • Analytic Independence of an Ideal Relative to Certain Injective Module Over a Commutative Noetherian Ring. Ansari-Toroghy, H. // Southeast Asian Bulletin of Mathematics;2002, Vol. 25 Issue 4, p571 

    In this paper we will introduce the concepts of analytic independence and analytic spread for ideals relative to certain injective module over a commutative Noetherian ring.

  • Un crit�re de Darboux d'existence d'int�grale premi�re pour les 1-formes diff�rentielles analytiques. Lion, Jean-Marie // Boletim da Sociedade Brasileira de Matematica;Jul2000, Vol. 31 Issue 2, p145 

    Presents a hypothesis considering a germ of analytic differential one form. Existence of an infinitely separatrix in algebraic surfaces of bounded degree; Presence of an algebraic first integral; List of examples explaining the necessity of the hypothesis.

  • Rigid analytic flatificators. Schoutens, H // Quarterly Journal of Mathematics;Sep99, Vol. 50 Issue 199, p321 

    Verifies the existence of universal flatificators in the setting of rigid analytical geometry. Use of surgective families in testing flatness over reduced quasi-compact rigid analytic varieties; Introduction of the Berovich spaces; Investigation on the behavior of a blowing up map with center a...

  • Off-diagonal orthorhombic-symmetry elastic constants. Sudook Kim // Applied Physics Letters;12/5/1994, Vol. 65 Issue 23, p2949 

    Derives analytical expressions for off-diagonal elastic stiffnesses C[sub 12], C[sub 13] and C[sub 23] in terms of measurable diagonal elastic stiffness and Young moduli. Consideration of several materials from different symmetry classes; Estimation of the errors in elastic stiffness;...

  • Analytic framework for the modeling of effective media. Diaz, Rodolfo E.; Merrill, William M. // Journal of Applied Physics;12/15/1998, Vol. 84 Issue 12, p6815 

    Discusses a study which developed a generalized framework through which the analytic properties of all binary mixture of effective medium theory (EMT) can be deduced and compared. Derivation of the analytic model; Application of the model to the cataloguing of EMT; Generalization to arbitrary...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics