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Space expansion and Spline representation of magnetic field without symmetric plane

Abstract

The space expansion for each component of the magnetic field without symmetric plane is derived in Cartesian coordinate system, which is in Taylor series of z. The coefficients of the expansions are expressed with the three components of the field and their partial derivatives with respect to x and y in a given plane z = z{sub 0}. The bicubic Spline function fit of the discrete field distributions in the given plane is discussed, and the space expansions of the field represented with Spline functions are further developed.
Authors:
Naifeng, Mao; Zenghai, Li [1] 
  1. Inst. of Atomic Energy, Beijing (China)
Publication Date:
Apr 01, 1990
Product Type:
Technical Report
Report Number:
CNIC-00377; IAE-00372.
Reference Number:
SCA: 430200; PA: AIX-24:006931; SN: 93000931811
Resource Relation:
Other Information: PBD: Apr 1990
Subject:
43 PARTICLE ACCELERATORS; MAGNETIC FIELDS; SPATIAL DISTRIBUTION; SPLINE FUNCTIONS; CARTESIAN COORDINATES; CHARGED PARTICLES; ELECTROMAGNETIC ISOTOPE SEPARATORS; OPTICAL PROPERTIES; SERIES EXPANSION; 430200; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS
OSTI ID:
10118933
Research Organizations:
China Nuclear Information Centre, Beijing, BJ (China)
Country of Origin:
China
Language:
Chinese
Other Identifying Numbers:
Other: ON: DE93612175; TRN: CN9201797006931
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[6] p.
Announcement Date:
Jun 30, 2005

Citation Formats

Naifeng, Mao, and Zenghai, Li. Space expansion and Spline representation of magnetic field without symmetric plane. China: N. p., 1990. Web.
Naifeng, Mao, & Zenghai, Li. Space expansion and Spline representation of magnetic field without symmetric plane. China.
Naifeng, Mao, and Zenghai, Li. 1990. "Space expansion and Spline representation of magnetic field without symmetric plane." China.
@misc{etde_10118933,
title = {Space expansion and Spline representation of magnetic field without symmetric plane}
author = {Naifeng, Mao, and Zenghai, Li}
abstractNote = {The space expansion for each component of the magnetic field without symmetric plane is derived in Cartesian coordinate system, which is in Taylor series of z. The coefficients of the expansions are expressed with the three components of the field and their partial derivatives with respect to x and y in a given plane z = z{sub 0}. The bicubic Spline function fit of the discrete field distributions in the given plane is discussed, and the space expansions of the field represented with Spline functions are further developed.}
place = {China}
year = {1990}
month = {Apr}
}