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Thermal-Wave Fields in Spherical Coordinates

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Diffusion-Wave Fields
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Abstract

This chapter begins with spherical thermal-wave fields generated by a point source, spatially spherically asymmetric distributions, as well as azimuthally symmetric sources. The experimentally important Gaussian photothermal source distribution is then examined in some detail in cases of optically opaque and absorbing spheres. Spherically symmetric sources and hollow spheres are then treated in the spirit of Theorem 7.1. Finally, the chapter closes with the derivation of thermal-wave fields in spherical cones.

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References

  • M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards Appl. Math. Ser. 55, Washington, DC, 1964).

    MATH  Google Scholar 

  • P. S. Belton, R. H. Wilson, and A. M. Saffa, Anal. Chem. 59, 2378 (1987).

    Article  Google Scholar 

  • R. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, New York, 1965).

    MATH  Google Scholar 

  • J. J. Freedman, R. M. Friedman, and H. R. Reichard, J. Phys. Chem. 84, 315 (1980).

    Article  Google Scholar 

  • I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (English Translation) (A. Jeffrey, ed.) (Academic, Orlando, FL, 1980).

    Google Scholar 

  • R. N. Hall, J. Appl. Phys. 20, 925 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • J. D. Jackson, Classical Electrodynamics, 2nd Ed. (Wiley, New York, 1975).

    MATH  Google Scholar 

  • J.-P. Monchalin, L. Bertrand, G. Rousset, and F. Lepoutre, J. Appl. Phys. 56, 190 (1984).

    Article  ADS  Google Scholar 

  • P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. I (McGraw-Hill, New York, 1953).

    MATH  Google Scholar 

  • H. K. Wickramasinghe, Sci. Am. (Oct. 1989), p. 98.

    Google Scholar 

  • H. K. Wicramasinghe, J. Vac. Sci. Technol. A 8, 383 (1990).

    Article  ADS  Google Scholar 

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Mandelis, A. (2001). Thermal-Wave Fields in Spherical Coordinates. In: Diffusion-Wave Fields. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3548-2_9

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  • DOI: https://doi.org/10.1007/978-1-4757-3548-2_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2888-7

  • Online ISBN: 978-1-4757-3548-2

  • eBook Packages: Springer Book Archive

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