Wave -- from Eric Weisstein's World of Physics

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Wave

Waves are defined as disturbances which are periodic in time and space. In order to be a wave, a quantity must satisfy the wave equation. In general, waves

1. Exhibit no net transport of material,
2. Transport energy,
3. Have characteristic waveforms,
4. Propagate at uniform waveform-independent speed,
5. Have speeds dependent on medium.

Amplitude, Love Wave, P-Wave, Plane Wave, Rayleigh-Lamb Wave, S-Wave, Spherical Wave, Surface Wave, Wave Equation, Wave Impedance, Wave Vector, Wavelength, Wavenumber




References

Andronov, A. A.; Vitt, A. A.; and Khaikin, S. E. Theory of Oscillators. Oxford, England: Pergamon Press, 1966.

Antonelli, G. A. et al. Waves and Optics Simulations. New York: Wiley, 1995.

Bhatnagar, P. L. Nonlinear Waves in One Dimensional Dispersive Systems. 1979.

Bland, B. R. Wave Theory and Applications. Oxford, England: Oxford University Press, 1988.

Chernov, L. A. Wave Propagation in a Random Medium. New York: McGraw-Hill, 1960.

Chorin, A. J. and Majda, A. J. (Eds.). Wave Motion: Theory, Modeling and Computation. New York: Springer-Verlag, 1987.

Coleman, B. D. Wave Propagation in Dissipative Materials: A Reprint of Five Memoirs. Berlin: Springer-Verlag, 1965.

Coulson, C. A. Waves: A Mathematical Account of the Common Types of Wave Motion, 7th ed. Edinburgh: Oliver and Boyd, 1955.

Crawford, F. S. Jr. Waves. New York: McGraw-Hill, 1968.

Davis, J. L. Wave Propagation in Solids and Fluids. New York: Springer-Verlag, 1988.

Davis, J. L. Mathematics of Wave Propagation. Princeton, NJ: Princeton University Press, 2000.

Elmore, W. and Heald, M. Physics of Waves. New York: Dover, 1985.

Fitzmaurice, N.; Guararie, D.; McCaughan, F.; and Woyczynski, W. A. (Eds.). Nonlinear Waves and Weak Turbulence: With Applications in Oceanography and Condensed matter Physics. Boston: Birkhäuser, 1993.

French, A. P. Vibrations and Waves. New York: Norton, 1971.

Gaponov-Grekhov, A. V.; Rabinovich, M. I.; and Engelbrekht, I. K. (Eds.). Nonlinear Waves: Dynamics and Evolution, 2 vols. Berlin: Springer-Verlag, 1989.

Gaponov-Grekhov, A. V. and Rabinovich, M. I. Nonlinearities in Action: Oscillations, Chaos, Order, Fractals. Berlin: Springer-Verlag, 1992.

Gaponov-Grekhov, A. V. et al. (Eds.). Nonlinear Waves 3: Physics and Astrophysics, Proceedings of the Gorky School 1989.

Georgi, H. The Physics of Waves. Englewood Cliffs, NJ: Prentice Hall, 1993.

Haag, J. Oscillatory Motions. Wadsworth, CA, 1962.

Hayashi, C. Nonlinear Oscillations in Physical Systems. Princeton, NJ: Princeton University Press, 1985.

Knobel, R. An Introduction to the Mathematical Theory of Waves. Providence, RI: Amer. Math. Soc., 2000.

Kock, W. E. Sound Waves and Light Waves..

Lindsay, R. B. PMechanical Radiation. New York: McGraw-Hill, 1960.

Main, I. G. Vibrations and Waves in Physics, 3rd ed. Cambridge, England: Cambridge University Press, 1993.

Morse, P. M. C. Vibration and Sound, 2nd ed. New York: McGraw-Hill, 1948.

Nayfeh, A. H. and Mook, D. T. Nonlinear Oscillations. New York: Wiley, 1979.

Nettel, S. Wave Physics: Oscillations, Solitons, Chaos, 2nd ed. Berlin: Springer-Verlag, 1995.

Pain, H. J. The Physics of Vibrations and Waves, 5th ed. New York: Wiley, 1999.

Russell, J. S. The Wave of Translation in the Oceans of Water, Air, and Ether. 1895.

Sharman, R. V. Vibrations and Waves. London: Butterworths, 1963.

Stephens, R. W. B. and Bate, A. E. Wave Motion and Sound. London: Edward Arnold and Co., 1950.

Stoker, J. J. Nonlinear Vibrations in Mechanical and Electrical Systems. New York: Interscience Publishers, 1950.

Towne, D. H. Wave Phenomena. New York: Dover.

Weisstein, E. W. "Books about Waves." http://www.ericweisstein.com/encyclopedias/books/Waves.html.

Whitham, G. B. Linear and Nonlinear Waves. New York: Wiley, 1974.



© 1996-2007 Eric W. Weisstein

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