Reflectionless Transmission Through Dielectrics And Scattering Potentials
Reflectionless Transmission Through Dielectrics And Scattering Potentials
Irvin W Kay
The book Reflectionless Transmission Through Dielectrics And Scattering Potentials was written by author Irvin W Kay Here you can read free online of Reflectionless Transmission Through Dielectrics And Scattering Potentials book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Reflectionless Transmission Through Dielectrics And Scattering Potentials a good or bad book?
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6) i-zzv^M ^^nV^M " z:pn%^"pM n •- -* n, v •- -* By Lemma 2 the a and p are positive^ therefore, (3. 6) is positive. This com- pletes the proof of Theorem 2, Finally, let us examine the asymptotic behavior of V(x), We state Theorem 3 . V(x) approaches zero exponentially as x approaches either + 00 or -oo» Proof. From the proof of Theorem 2 we have for the form of V(x) : - 10 - V(x) = - 2 . n •- -* n, v "- -"I (3. 7) n *- -• rijV •- -J -1 > • Now suppose p is the largest of the constants p • Ihe...n the term in the denomina- tor of (3»7) of largest exponential grovrth as x approaches +oo is that for which n = V = |i, that is, for which the exjjonent is 2p . This term is obviously missing from the numerator of (3e7)j thus, the denominator grows faster than the ntimera- tor, and V(x) approaches zero as x approaches +co» As x approaches -oo, V(x) obviously approaches zero. li» Example Consider the case of one constant A_ and one constant x, • The sytem (2o2) will consist of a single equation: (U.
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