12.07.2015 Views

What is a wave? The one-dimensional wave equation

What is a wave? The one-dimensional wave equation

What is a wave? The one-dimensional wave equation

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2/3/14Absorption coefficient and skin depthF = F 0exp(− 4πνn icx) = F 0e −β a xWhere β a <strong>is</strong> known as the absorption coefficient:<strong>The</strong> quantity 1/β a gives the d<strong>is</strong>tance required for the <strong>wave</strong>’s energy to be€attenuated to e -1 or ~37% of its original value, or the absorption/skindepth. It’s a function of frequency/<strong>wave</strong>length.€4πνn i= 4πn ic λAbsorption coefficient and skin depthWithin a certain material, an EM <strong>wave</strong> with λ = 1 µm <strong>is</strong> attenuated to10% of its original intensity after propagating 1 cm. Determine theimaginary part of the refractive index n i .14

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