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Finding Real and Imaginary Parts of the complex wave number
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[QUOTE="sams, post: 5899849, member: 550794"] In Griffiths fourth edition, page 413, section 9.4.1. Electromagnetic Waves in Conductors, the complex wave number is given according to equation (9.124). [ATTACH=full]216481[/ATTACH] Calculating the real and imaginary parts of the complex wave number as in equation (9.125) lead to equations (9.126). I have done the derivation by myself and I present it here as follows: [ATTACH=full]216482[/ATTACH] Where, [I]k[/I][SUB]+[/SUB] is the real part of the complex wave number = [I]k [/I]in Griffiths. [I]k[/I][SUB]-[/SUB] is the imaginary part of the complex wave number = [I]κ [/I](kappa) in Griffiths. My question here is mathematical rather than physical, why did Griffiths took the positive sign of the first root of [I]X [/I] (since [I]X[/I] here has two roots when evaluating the polynomial of 2[SUP]nd[/SUP] degree) when finding the real part [I]k[/I][SUB]+[/SUB] of the complex wave number? Any help is deeply appreciated! Many Thanks! [/QUOTE]
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Finding Real and Imaginary Parts of the complex wave number
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