(a) From the use of Green's theorem in two dimensions show that the TM and modes...
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(a) From the use of Green's theorem in two dimensions show that the TM and ТЕ modes in a waveguide defined by the boundary-value problems (8.34) and (8.36) are orthogonal in the sense that ∫A EzλEzμda = 0 for λ ≠ μ for TM modes, and a corresponding relation for Hz for ТЕ modes.
(b) Prove that the relations (8.131)-(8.134) form a consistent set of normalization conditions for the fields, including the circumstances when λ is a TM mode and μ is а ТЕ mode.
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a For the TEM mode both the electric and magnetic f...View the full answer
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