By Geyi Wen

The e-book offers a accomplished assurance of the basic themes in microwave engineering, antennas and wave propagation, and electromagnetic compatibility, together with electromagnetic boundary worth difficulties, waveguide thought, microwave resonators, antennas and wave propagation, microwave circuits, ideas of electromagnetic compatibility designs, info conception and systems.

bargains systematically with basic difficulties in radio frequency engineering, this significant quantity offers an up to date therapy of radio frequency thought and strategies.

The ebook can be utilized as a one-semester path for senior and first-year graduate scholars or as a reference for radio frequency engineers and utilized physicists.

Readership: teachers, researchers, postgraduates and undergraduates in electric & digital engineering and utilized physics.

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**Additional resources for Foundations for Radio Frequency Engineering**

**Example text**

55) page 24 January 28, 2015 11:5 Foundations for Radio Frequency Engineering - 9in x 6in Solutions of Electromagnetic Field Problems b1914-ch01 page 25 25 where Γ(α) is the gamma function deﬁned by ∞ xα−1 e−x dx, Γ(α) = α > 0. 0 If p is not an integer, a second independent solution is J−p (µz). If p = n is an integer, J−n (µz) is related to Jn (µz) by J−n (z) = (−1)n Jn (z). 56) and the Bessel functions of the third (Hankel function of the ﬁrst kind) and fourth kind (Hankel function of the second kind) are deﬁned by (1) Hp (µz) = Jp (µz) + jNp (µz), (2) Hp (µz) = Jp (µz) − jNp (µz).

66) can be expressed as ˆ −1 f (r), u(r) = L ˆ and is often represented by an integral ˆ −1 stands for the inverse of L where L operator whose kernel is the Green’s function. 67) page 28 January 28, 2015 11:5 Foundations for Radio Frequency Engineering - 9in x 6in b1914-ch01 Solutions of Electromagnetic Field Problems page 29 29 ˆ to both sides of the above equation yields Applying L ˆL ˆ −1 f (r) = f (r) = − L ˆ LG(r, r )f (r )dV (r ). 68) where δ denotes the delta function. 66). 1 Green’s Functions for Helmholtz Equation Let ρ = (x, y), r = (x, y, z) and v be a constant.

S January 28, 2015 11:5 Foundations for Radio Frequency Engineering - 9in x 6in b1914-ch01 Foundations for Radio Frequency Engineering 20 This is the familiar form of Huygens’ principle. The electromagnetic reciprocity theorem can also be generalized to an anisotropic medium (Kong, 1990; Tai, 1961; Harrington, 1958). Let us consider a special case where the region V does not contain any sources. We denote the ﬁelds inside the region V by (E1 , H1 ) or (E2 , H2 ) when it is endowed with medium ↔t ↔t ↔ ↔ parameters ( µ , ε ) or with transposed medium parameters ( µ , ε ).