Читать книгу RF/Microwave Engineering and Applications in Energy Systems - Abdullah Eroglu - Страница 16

It is frequently useful to resolve vectors into components along the axial direction using general unit vectors, as given by (1.3)

(1.3)

Then

(1.4a)

(1.4b)

(1.4c)

Figure 1.1 Vector representation.

In Cartesian coordinate system, unit vectors are defined as

(1.5)

So

(1.6a)

(1.6b)

(1.6c)

In a cylindrical coordinate system, unit vectors are defined as

(1.7)

Hence

(1.8a)

(1.8b)

(1.8c)

In a spherical coordinate system, unit vectors are defined as

(1.9)

which leads to

(1.10b)

(1.10b)

(1.10c)