Orienting polymers : proceedings of a workshop held at the by J L Ericksen; University of Minnesota. Institute for

By J L Ericksen; University of Minnesota. Institute for Mathematics and Its Applications

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Extra resources for Orienting polymers : proceedings of a workshop held at the IMA, University of Minnesota, Minneapolis, March 21-26, 1983

Sample text

Which expresses electron density conservation, must hold together with the conservation of the electron flux along z, Jz = Ii(Bolaol 2 + ,81IalI 2 )/mo. If the two electron waveguides are identical, an electron wavefunction incident at z = 0 in one waveguide is totally transferred to the other waveguide after a propagation length Lc = 7f / (,80 - ,81) called the complete transfer length. , the effects of temperature and other random dephasing collisions, can be found in Sarangan and Huang (1994).

21c) In this periodic dielectric medium, specific solid-state concepts such as Bloch waves, allowed and forbidden bands, and Brillouin zones can be introduced for electromagnetic wave propagation, similarly to the case of electron propagation in crystalline solids (Yeh, 1988). 11) = 2 implies that the Bloch waves are evanescent and cannot propagate in the medium.

17) Here nb and nw are the refractive indices of the electromagnetic waves in the dielectric barrier and well regions, respectively, and a = n~mw/(n~mb) with Vb, Vw and mb, mw the potential energies and electron effective masses in the quantum barrier and well regions. 1) equal 0 and -1, respectively. 17). The allowed interval for N variation, between nw and nb, matches the variation of E from Vw to Vb, and corresponds to a change in W from Wo to wo/ a 1 / 2 . The respective dependencies on E and N of the transmittance T 32 2 Analogies Between Ballistic Electrons and Electromagnetic Waves o log'l'(s) _ ~ ~ ,-- -10 o (a) ............

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