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Title: ON HELMHOLTZ'S THEOREM IN FINITE REGIONS

Technical Report ·
DOI:https://doi.org/10.2172/4273371· OSTI ID:4273371

The splitting of a continuous vector function into a gradient plus a curl is possible in an infinite number of ways. Two particular uniquely determined splittings called electric and magnetic are dealt with. Eigenvector expansions suitable for these splittings are examined, and the application of these expansions to the calculation of the various terms of the splitting is considered. (auth)

Research Organization:
Midwestern Universities Research Assn., Madison, Wis.
DOE Contract Number:
AT(11-1)-384
NSA Number:
NSA-13-005658
OSTI ID:
4273371
Report Number(s):
MURA-440
Resource Relation:
Other Information: Orig. Receipt Date: 31-DEC-59
Country of Publication:
United States
Language:
English