Abstract
Spherical waves, cylindrical waves and plane waves are the most basic wave forms. In general, more complicated wave forms can be expressed by the superposition of these three waves. In the present chapter, these waves are described phenomenologically while leaving the more rigorous expressions for later chapters. The symbols which are frequently used in the following chapters are summarized.
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References
C. L. Andrews: Optics of the Electromagnetic Spectrum (Prentice-Hall, Englewood Cliffs, NJ 1960).
J. W. Goodman: Introduction to Fourier Optics (McGraw-Hill, New York 1968).
R. Bracewell: The Fourier Transform and its Applications (McGraw-Hill, New York 1965).
M. L. Boas: Mathematical Methods in the Physical Sciences (Wiley, New York 1966).
A. Papoulis: Systems and Transforms with Applications in Optics (McGraw-Hill, New York 1968).
Additional Reading
Barakat, R.: In The Computer in Optical Research, ed. by R. Frieden, Topics Appl. Phys., Vol. 41 (Springer, Berlin, Heidelberg 1980).
Churchill, R. V.: Operational Mathematics (McGraw-Hill, New York 1958).
Erdelyi, A., Magnus, W., Oberhattinger, F., Tricomi, F.: Tables of Integral Transforms, Vol. 1 and 2 (McGraw-Hill, New York 1954).
Lighthill, M. J.: Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, London 1958).
Sneddon, I. N.: Fourier Transforms (McGraw-Hill, New York 1951).
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© 1987 Springer-Verlag Berlin Heidelberg
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Iizuka, K. (1987). Mathematics Used for Expressing Waves. In: Engineering Optics. Springer Series in Optical Sciences, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36808-3_2
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DOI: https://doi.org/10.1007/978-3-540-36808-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17131-7
Online ISBN: 978-3-540-36808-3
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