Wave Propagation Concordance
Wave Propagation
Section titled “Wave Propagation”Concordance status: generated from processed OCR/PDF text. Treat these as source-location aids until each passage is checked against the scan.
156 hits
Total text matches across processed Steinmetz sections.
6 sources
Sources containing at least one matched alias.
18 sections
Chapters, lectures, sections, or report divisions with matches.
Matched Aliases
Section titled “Matched Aliases”standing wave, traveling wave, travelling wave, wave front, wave propagation
Source Distribution
Section titled “Source Distribution”| Source | Hits | Sections |
|---|---|---|
| Theory and Calculation of Transient Electric Phenomena and Oscillations | 80 | 10 |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 32 | 2 |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 31 | 2 |
| General Lectures on Electrical Engineering | 8 | 1 |
| Radiation, Light and Illumination | 4 | 2 |
| Four Lectures on Relativity and Space | 1 | 1 |
Section Hits
Section titled “Section Hits”Representative Source Snippets
Section titled “Representative Source Snippets”Chapter 4: Traveling Waves - 33 hit(s)
Open source text | Open chapter workbench
CHAPTER IV. TRAVELING WAVES. 20. As seen in Chapter III, especially in electric power cir- cuits, overhead or underground, the longest existing standing wave has a wave length which is so small compared with the critical wave length — where the frequency becomes zero — that the effect of the damping constant on the frequency and the wave length is negligible. The same obviously applies also to traveling waves, ...Lecture 8: Traveling Waves - 26 hit(s)
Open source text | Open chapter workbench
... y dis- tance angle co, and at any time t, that is, time angle 0, then is p = ei, = eo^e~2"* cos (0 =F co — 7) sin (0 =F co — 7), = ^6-^«'sin2(0Ta>-7), (2) and the average power flow is Po = avg p, (3) = 0. Hence, in a stationary oscillation, or standing wave of a uni- form circuit, the average flow of power, po, is zero, and no power flows along the circuit, but there is a surge of power, of double frequency. That is, power flows first one way, during one-quarter cycle, and then in the opposite direction, dur ...Lecture 8: Traveling Waves - 26 hit(s)
Open source text | Open chapter workbench
... tance angle co, and at any time t, that is, time angle <£, then is p = ei, = e0ioe~2ut cos (</> T co — 7) sin (0 =F co — 7), = ^|V2«<sin2(c/>=Fco-7), (2) and the average power flow is Po = avg p, (3) = 0. Hence, in a stationary oscillation, or standing wave of a uni- form circuit, the average flow of power, p0, is zero, and no power flows along the circuit, but there is a surge of power, of double frequency. That is, power flows first one way, during one-quarter cycle, and then in the opposite direction, dur ...Chapter 3: Standing Waves - 15 hit(s)
Open source text | Open chapter workbench
CHAPTER III. STANDING WAVES. 14. If the propagation constant of the wave vanishes, h = 0, the wave becomes a stationary or standing wave, and the equa- tions of the standing wave are thus derived from the general equations (50) to (61), by substituting therein h = 0, which gives R2 = V(k2 - LCm2)2; (97) hence, if k2 > LCm2, R2 = tf- LCm2; and if /c2 < LCm2, R2 = LCm2'- tf. There ...Lecture 17: Arc Lighting - 8 hit(s)
Open source text | Open chapter workbench
... nner, thus giving rise (to very different wave shapes of the impulses. So some impulses may rise very rapidly, with •A. I. E. E. Transact. March, 1907: "Lightning Phenomena in Electric Circuits." LIGHTNING AND LIGHTNING PROTECTION 273 extremely steep wave front, and slowly die down. Others may rise slowly, then suddenly fall and reverse, or a series of oscillations may occur in the impulse, etc. If the lightning flash is parallel with the line, simultaneous impulses of different directions may be produced, corre ...Chapter 9: Inductive Discharges - 8 hit(s)
Open source text | Open chapter workbench
... 2 + nno 07 c 1 75 + .008 487 1 <D 78 . UUo o/O - .008 161 . 1 77 79 - .008 267 + .008 057 1 1 80 + .007 957 1 81 - .007 858 0 x> 80 j»fe 79 X sil|s=(-l) + 1 2~2 INDEX PAGE Acceleration constant of traveling wave 466 Air blast, action in oscillating-current generator 75 pressure required in oscillating-current generator 75 Alternating-current circuit and transient term of fundamental frequency 473 distribution in conductor 369 transformer operating oscillati ...Lecture 9: Oscillations Of The Compound Circuit - 6 hit(s)
Open source text | Open chapter workbench
LECTURE IX. OSCILLATIONS OF THE COMPOUND CIRCUIT. 38. The most interesting and most important application of the traveling wave is that of the stationary oscillation of a com- pound circuit, as industrial circuits are never uniform, but consist of sections of different characteristics, as the generating system, transformer, line, load, etc. Oscillograms of such circuits have been ...Chapter 4: Traveling Waves. 457 - 6 hit(s)
Open source text | Open chapter workbench
CHAPTER IV. TRAVELING WAVES. 457 20. Different forms of the equations of the traveling wave. 457 CONTENTS. xxiii PAGE 21. Component waves and single traveling wave. Attenua- tion. 459 22. Effect of inductance, as loading, and leakage, on attenu- ation. Numerical example of telephone circuit. 462 23. Traveling sine wave and traveling c ...Chapter 5: Free Oscillations - 6 hit(s)
Open source text | Open chapter workbench
... for Z = 0, thus: and if i = 0 for I = 0, thus: h = 0, sin kl0 = 0 kl — nn. (208) 0 and cos kl0 = 0, (2 n + 1) TT (209) From equations (206) to (209) it thus follows that h = 0, that is, the free oscillation of a uniform circuit is a standing wave. Also (2 n (210) if e = 0 at one, i = 0 at the other end of the circuit, and kl, - nn (211) if either e = 0 at both ends of the circuit or i = 0 at both ends of the circuit. 32. From (210) it follows that or an odd multiple thereof; that is ...Lecture 9: Oscillations Of The Compound Circuit - 5 hit(s)
Open source text | Open chapter workbench
... section must have a second exponential time decrement, s = Uq — u, (2) which represents power transfer from the section to other sections, or, if s is negative, power received from other sections. The oscil- lation of every individual section thus is a traveling wave, with a power-transfer constant s. As Uo is the average dissipation constant, that is, an average of the power-dissipation constants u of all the sections, and s = uq — u the power-transfer constant, some of the s must be positive, some negative. In a ...Chapter 2: Discussion Of General Equations - 5 hit(s)
Open source text | Open chapter workbench
... e have and (78) that is, during its passage along the circuit the wave decreases by the decrement e~ut, or at a constant rate, independent of frequency, wave length, etc., and depending merely on the circuit constants r, L, g, C. The decrement of the traveling wave in the direction of its motion is and therefore is independent of the character of the wave, for instance its frequency, etc. 11. The physical meaning of the two waves i' and e' can best be appreciated by observing the effect of the wave when travers- ...Lecture 2: Relation Of Bodies To Radiation - 3 hit(s)
Open source text | Open chapter workbench
... in the present instance. Let then Sl = speed of propagation in medium A, S2 = speed of propagation in medium W. Then, while the center of the beam moves the distance EC, the back edge, in the denser medium, a moves only the distance DI = -^EC, and the wave front of the »i back half of the beam thus changes to CI while that of the front half of the beam, which is still in the medium A, remains GC. Then, while the front edge of the beam moves from G to H, the center and the whole back half of the beam moves in t ...Chapter 2: Discussion Of General Equations. 431 - 2 hit(s)
Open source text | Open chapter workbench
... t waves and their reflected waves. Attenuation in time and in space. 431 8. Period, wave length, time and distance attenuation constants. 433 9. Simplification of equations at high frequency, and the velocity unit of distance. 434 10. Decrement of traveling wave. 436 11. Physical meaning of the two component waves. 437 12. Stationary or standing wave. Trigonometric arid logarith- mic waves. 438 13. Propagation constant of wave. 440Chapter 5: Free Oscillations. 478 - 2 hit(s)
Open source text | Open chapter workbench
CHAPTER V. FREE OSCILLATIONS. 478 28. Types of waves: standing waves, traveling waves, alter- nating-current waves. 478 29. Conditions and types of free oscillations. 478 30. Terminal conditions. 480 31. Free oscillation as standing wave. 481 32. Quarter-wave and half-wave oscillation, and their equa- tions. 482 33. Conditions under which a standing wave is a free oscilla- tion, and the power nodes of the free oscillation. 485 34. Wave length, and angular measure of distance. 487 ...Chapter 6: Transition Points And The Complex Circuit - 2 hit(s)
Open source text | Open chapter workbench
... t s of the circuit, therefore, may be called energy transfer constant, and positive s means transfer of energy from the section to the rest of the circuit, and negative s means reception of energy from other sections. This explains the vanishing of s in a standing wave of a uniform circuit, due to the absence of energy transfer, and the presence of s in the equations of the traveling wave, due to the transfer of energy along the circuit, and in the general equations of alternating-current circuits. It immediately follo ...Lecture 2: Conclusions From The Relativity Theory - 1 hit(s)
Open source text | Open chapter workbench
... troducing now the local time ^ = t ± \, the complex expression of the two variables I and t simplifies into an expression of a single variable only, the "local" time t?; that is, the time counted at every point from the moment as stai-ting point where the wave front reaches this point, in other words, the local time on the moving wave. CONCLUSIONS FROM RELATIVITY THEORY 35 The transformation equations between train and track then become: X' = w = V X w c or: X + ~IV c V IV X c w' + x' c ...Lecture 1: Nature And Different Forms Of Radiation - 1 hit(s)
Open source text | Open chapter workbench
... ery great, due to the low frequency, — 3 X 1010 a 60-cycle alternating current gives a wave length of ^ = 500 X 10" cm. or 3100 miles — the distance to which the field of the circuit extends is an insignificant fraction only of the wave length, and the wave propagation of the field thus is usually not considered. Electric waves of higher frequencies than used in wireless telegraphy are the Herzian waves, produced by electric oscilla- tors, that is, a moderately long straight conductor cut in the middle by a gap and te ...Chapter 3: Standing Waves. 442 - 1 hit(s)
Open source text | Open chapter workbench
CHAPTER III. STANDING WAVES. 442 14. Oscillatory, critical and gradual standing wave. 442 15. The wave length which divides the gradual from the oscillatory wave. 446 16. High-power high-potential overhead transmission line. Character of waves. Numerical example. General equations. 449 17. High-potential underground power cable. Ch ...