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the attenuation constant of a tapered dielectric-filled rectangular transmission line

mehr66

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The attenuation constant α of a transmission line, neglecting radiation loss, is given by: 𝛼 = 𝛼d+ K*𝛼c where αd is the attenuation due to dielectric loss, K is the surface roughness coefficient, and αc is the attenuation constant due to ohmic loss per unit length:𝛼 = 𝑃𝑙/ 2𝑃10𝑃10 = 2𝜋𝑓𝜇𝑊3ℎ|𝐴10| 2 /4𝜋2 Re(𝛽)p𝑙 = 𝐾 [𝑅𝑠 ∫ |𝐽sy| 2 𝑑𝑦 + 𝑅s ∫ [|𝐽sx| 2 + |𝐽sz| 2 ]]𝑑𝑥 p10 is the power flowing through the waveguide for the TE10 mode defined. Pl is the power lost per unit length. To calculate power in tapered dielectric-filled rectangular shape structures with size variations in each section, how to determine the rate of change of attenuation constant?
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