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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- 1.
Another substitution
\( \theta - \phi = \frac{\pi }{2} - \beta \)
also seems to satisfy the condition. If this substitution is used, the exponent becomes −jn\( \beta \) + jn(ϕ + \( \pi \)/2) and the sign of jn\( \beta \) becomes negative so that (2.65) cannot be immediately applied.
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Iizuka, K. (2019). Mathematics Used for Expressing Waves. In: Engineering Optics. Springer, Cham. https://doi.org/10.1007/978-3-319-69251-7_2
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DOI: https://doi.org/10.1007/978-3-319-69251-7_2
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Online ISBN: 978-3-319-69251-7
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