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11. |
Two Calculating Machines for X‐Ray Crystal Structure Analysis |
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Journal of Applied Physics,
Volume 18,
Issue 7,
1947,
Page 664-666
A. D. Booth,
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摘要:
The calculation of structure factors in x‐ray structure analysis is one of the most laborious operations. Two mechanisms are described which have proved of great service in several analyses. The simpler of the devices is of general application and can be constructed with comparatively limited workshop facilities.
ISSN:0021-8979
DOI:10.1063/1.1697823
出版商:AIP
年代:1947
数据来源: AIP
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12. |
The Field of a Microwave Dipole Antenna in the Vicinity of the Horizon |
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Journal of Applied Physics,
Volume 18,
Issue 7,
1947,
Page 667-680
C. L. Pekeris,
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摘要:
In this paper a method is developed for determining the electromagnetic field produced by a microwave antenna at points on the horizon, and on either side of it, where neither the ray theory nor the normal mode theory can be used conveniently. The theory is developed for a condition of standard atmospheric refraction, by use of a space in which the earth is flattened and the rays are curved. This allows us to make a simple derivation of the ray theory, valid in the optical region, and of the normal mode theory, suited for the shadow zone. For the intermediate region centered around the horizon we use the original integral for the potential to obtain expressions for the field under the restriction of maximum absorption, which for typical ground conditions applies to wave‐lengths less than about a meter. Three cases are treated in which the transmitter, or receiver, are either situated on the ground or are elevated several natural units of height. For an elevated transmitter and receiver the Hertzian potential &psgr; due to a point source at the origin is in the vicinity of the horizon given by|&PSgr;|=[1/2(rr¯)12](2/&pgr;12)ei&pgr;/40∞ exp[−i(2&tgr;12t+t2)]dt−[(2/3)13&OHgr;/&pgr;12]e−i&pgr;/12F(p),withp=(3/2)23(x−x¯), &OHgr;2=(z1−12+z2−12),&tgr;=(x−x¯)2/&OHgr;2, x¯=z112+z212,wherexdenotes the horizontal distancerexpressed in natural units,z1andz2the heights of transmitter and receiver in natural units,r¯the distance of receiver from transmitter when the former is on the horizon.F(p) (see Eq. (68) below) has been evaluated, and is given in Table IV, while the integral in (A) can be expressed in terms of the tabulated Fresnel integrals. In the limit of very short wave‐lengths the fieldonthe horizon approaches the value 1/(2r¯) which would result from the diffraction of thedirect ray onlyby a straight edge placed at the point of tangency of the horizon with the earth. A comparison of the field obtained from (A) with exact values computed by van d. Pol and Bremmer, using the ray theory and the normal mode theory, is shown in Figs. 6 and 7.When the transmitter is at zero elevation and the receiver is elevated several units of height, the potential in the vicinity of the horizon is given by|&PSgr;v|=(3/2&pgr;ae)13&lgr;13&pgr;(rr¯)12G(p)&egr;1(&egr;1−1)12,|&PSgr;h|=(3/2&pgr;ae)13&lgr;13&pgr;(rr¯)12G(p)(&egr;1−1)12for vertical polarization and horizontal polarization, respectively. Here &egr;1denotes the complex dielectric constant,acthe effective radius of the earth, and &lgr; the wave‐length.G(p) is given in Eq. (78) and is shown in Fig. 4. A comparison of (B) with exact values obtained by van d. Pol and Bremmer is shown in Fig. 8.When both the transmitter and receiver are at zero elevation, it is found that the potential can be expressed as thesumof the surface wave appropriate for aflatground and an integral depending on the radius of the earth. At great distances, the two terms tend to cancel out. Under conditions of maximum absorption this leads to|&PSgr;v|=2r2k0&egr;12g(p′)(&egr;1−1); |&PSgr;h|=2r2k0g(p′)(&egr;1−1),p′=(3/2)23x, g(p′)=1−(2ei&pgr;/4/3&pgr;12)(p′)32H(p′).H(p′) is given in (84) andg(p′) is shown in Fig. 5, where it is compared with results obtained previously by van d. Pol and Bremmer using the normal mode theory.For pointsonthe horizon Eq. (A) reduces to|&PSgr;|=(1/2r¯)|1−(0.684−0.183i)&OHgr;|,while in (B) and (C) we put |G(0)| = 2.13.
ISSN:0021-8979
DOI:10.1063/1.1697824
出版商:AIP
年代:1947
数据来源: AIP
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13. |
Linearized Supersonic Flow through Ducts |
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Journal of Applied Physics,
Volume 18,
Issue 7,
1947,
Page 681-682
H. F. Ludloff,
F. Reiche,
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ISSN:0021-8979
DOI:10.1063/1.1697825
出版商:AIP
年代:1947
数据来源: AIP
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14. |
Rigorous Solution of Linearized Supersonic Flow Through Ducts |
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Journal of Applied Physics,
Volume 18,
Issue 7,
1947,
Page 682-683
C. E. Mack,
H. F. Ludloff,
F. Reiche,
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ISSN:0021-8979
DOI:10.1063/1.1697826
出版商:AIP
年代:1947
数据来源: AIP
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15. |
The Mechanism of Cutting Fluid Action |
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Journal of Applied Physics,
Volume 18,
Issue 7,
1947,
Page 683-683
Milton C. Shaw,
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ISSN:0021-8979
DOI:10.1063/1.1697827
出版商:AIP
年代:1947
数据来源: AIP
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