Eigenfunctions of the curl operator, rotationally invariant Helmholtz theorem, and applications to electromagnetic theory and fluid dynamics / H.E. Moses.
Air Force Requirements, such as the knowledge of the upper atmosphere environment of vehicles and the knowledge of the propagation characteristics of radio and radar signals, require the solutions of the equations of motion of fluid dynamics and of electromagnetic theory which are often very complic...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | Government Document Book |
| Language: | English |
| Published: |
L.G. Hanscom Field, Mass. :
Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force,
1970.
|
| Series: | AFCRL ;
70-320. Physical sciences research papers (Air Force Cambridge Research Laboratories (U.S.)) ; no. 419. |
| Subjects: |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | b8855584 | ||
| 003 | CoU | ||
| 008 | 090505e197005 maua bt f000 0 eng d | ||
| 005 | 20231211211802.4 | ||
| 035 | |a (OCoLC)ocn320248836 | ||
| 035 | |a (OCoLC)320248836 | ||
| 040 | |a LHL |b eng |c LHL |d FUG |d OCLCF |d OCLCQ |d COD | ||
| 049 | |a COD9 | ||
| 086 | 0 | |a D 301.45/40:419 | |
| 088 | |a AFCRL 70-320 | ||
| 088 | |a AD 0707825 | ||
| 100 | 1 | |a Moses, H. E. | |
| 245 | 1 | 0 | |a Eigenfunctions of the curl operator, rotationally invariant Helmholtz theorem, and applications to electromagnetic theory and fluid dynamics / |c H.E. Moses. |
| 260 | |a L.G. Hanscom Field, Mass. : |b Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, |c 1970. | ||
| 300 | |a v, 47 pages, 2 unnumbered pages ; |c 28 cm. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a unmediated |b n |2 rdamedia. | ||
| 338 | |a volume |b nc |2 rdacarrier. | ||
| 490 | 1 | |a Physical Sciences Research Papers ; |v No. 419. | |
| 490 | 1 | |a AFCRL ; |v 70-320. | |
| 500 | |a "May 1970." | ||
| 500 | |a AD0707825 (from http://www.dtic.mil) | ||
| 500 | |a Aeronomy Laboratory Project 7635. | ||
| 500 | |a Research supported by the Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, L.G. Hanscom Field, Bedford, Massachusetts. | ||
| 504 | |a Includes bibliographical references (page 47) | ||
| 520 | |a Air Force Requirements, such as the knowledge of the upper atmosphere environment of vehicles and the knowledge of the propagation characteristics of radio and radar signals, require the solutions of the equations of motion of fluid dynamics and of electromagnetic theory which are often very complicated. This report presents a new mathematical approach to the obtaining of such solutions. The vector field is represented in such a form that new techniques may be used to find the appropriate solutions. Some problems of fluid dynamics and electromagnetic theory are solved as an illustration of the new approach. In this report, eigenfunctions of the curl operator are introduced. The expansion of vector fields in terms of these eigenfunctions leads to a decomposition of such fields into three modes, one of which corresponds to an irrotational vector field, and two of which correspond to rotational circularly polarized vector fields of opposite signs of polarization. Under a rotation of coordinates, the three modes which are introduced in this fashion remain invariant. Hence the Helmholtz decomposition of vector fields has been introduced in an irreducible, rotationally invariant form. These expansions enable one to handle the curl and divergence operators simply. As illustrations of the use of the curl eigenfunctions, four problems are solved. | ||
| 583 | 1 | |a committed to retain |c 20230101 |d 20480101 |5 CoU |f Alliance Shared Trust |u https://www.coalliance.org/shared-print-archiving-policies. | |
| 650 | 0 | |a Vector analysis. |0 http://id.loc.gov/authorities/subjects/sh85142449. | |
| 650 | 0 | |a Fluid dynamics. |0 http://id.loc.gov/authorities/subjects/sh85049376. | |
| 650 | 0 | |a Boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh85016102. | |
| 650 | 0 | |a Equations of motion. |0 http://id.loc.gov/authorities/subjects/sh85044524. | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912. | |
| 650 | 0 | |a Electromagnetic theory. |0 http://id.loc.gov/authorities/subjects/sh85042178. | |
| 650 | 7 | |a Boundary value problems. |2 fast |0 (OCoLC)fst00837122. | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484. | |
| 650 | 7 | |a Electromagnetic theory. |2 fast |0 (OCoLC)fst00906570. | |
| 650 | 7 | |a Equations of motion. |2 fast |0 (OCoLC)fst00914500. | |
| 650 | 7 | |a Fluid dynamics. |2 fast |0 (OCoLC)fst00927973. | |
| 650 | 7 | |a Vector analysis. |2 fast |0 (OCoLC)fst01164651. | |
| 710 | 2 | |a Air Force Cambridge Research Laboratories (U.S.) |0 http://id.loc.gov/authorities/names/n81133515 |1 http://isni.org/isni/0000000121678046. | |
| 830 | 0 | |a AFCRL ; |v 70-320. |0 http://id.loc.gov/authorities/names/no2008179587. | |
| 830 | 0 | |a Physical sciences research papers (Air Force Cambridge Research Laboratories (U.S.)) ; |v no. 419. |0 http://id.loc.gov/authorities/names/no2008179573. | |
| 907 | |a .b88555847 |b 03-19-20 |c 09-23-16 | ||
| 998 | |a pas |b 09-23-16 |c r |d m |e - |f eng |g mau |h 0 |i 1 | ||
| 907 | |a .b88555847 |b 10-11-17 |c 09-23-16 | ||
| 944 | |a MARS - RDA ENRICHED | ||
| 907 | |a .b88555847 |b 12-30-16 |c 09-23-16 | ||
| 907 | |a .b88555847 |b 09-23-16 |c 09-23-16 | ||
| 948 | |a gro16/17:cjg | ||
| 999 | f | f | |i e407222d-0c8f-5369-b424-03fe7338c2fe |s 34b7cf10-1d99-52d0-916a-e4c7cbaad804 |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Boulder Campus |c Offsite |d PASCAL Offsite |e D 301.45/40:419 |h Superintendent of Documents classification |i document |m P106271915031 |n 1 |