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(Solved): 2 2. In Lorentz model for a lossy dielectric assume 0j=0 and j= for all j 's. (a) F ...
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2. In Lorentz model for a lossy dielectric assume and for all 's. (a) Find the zeroes of the complex permittivity . (b) Find all singularities of the complex permittivity (i.e. all 's for which is infinite) (c) Can the complex permittivity vanish or become infinite? Explain.
Expert Answer
In the Lorentz model for a lossy dielectric with the assumptions and for all j's, the complex permittivity is given by: where ?? is the static permittivity, ?? is the oscillator strength, ?? is the resonance frequency, ? is the angular frequency, and ? is the damping coefficient.(a) To find the zeroes of the complex permittivity ?~(?), we need to solve the equation ?~(?) = 0. Setting ?~(?) equal to zero, we have: Multiplying both sides by (??² - ?² - i??), we get: