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Functional equations and a theoretical model of DLTS. (English) Zbl 0848.39005

The author offers an account of an application of the Pexider equation \(C(v+ w)= D(v) C(w)\) and of homogeneous functions of degree \(p\) (if \(p=0\), he calls them just “homogeneous functions”) to deep level transient spectroscopy.
(Note: With every solution \(C\) of author’s equation (11) (essentially the above Pexider equation), also \(KC\) is a solution with any constant \(K\). Thus also \(C(u)= K \exp (-ku)\) (\(K>0\), \(k>0\) arbitrary; the author has \(K=1\)) is a decreasing positive solution. It is easy to see that this is the general such solution).

MSC:

39B22 Functional equations for real functions
78A55 Technical applications of optics and electromagnetic theory
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References:

[1] J. Aczél: Lectures on Functional Equations and Their Applications. Academic Press, New York and London, 1966. · Zbl 0139.09301
[2] F. Neuman: Global Properties of Linear Ordinary Differential Equations. Academia, Praha, 1991. · Zbl 0784.34009
[3] D.V. Lang: Deep-level transient spectroscopy-A new method to characterize traps in semiconductors. J. App. Phys. 45 (1974), no. 7, 3014-3023.
[4] C.R. Crowel, S. Alipanahi: Transient distortion and \(n\)-th order filtering in depth level transient capacitance spectroscopy. Solid-State Electronics 24 (1981), 25-36.
[5] I. Thurzo, K. Gmucová: Simple DLTS korelator with improved selectivity. Czechoslovak J. Phys. A 34 (1984), 272-279.
[6] J. Thurzo: Research DLTS replay through Walsh-Fourier transformation and synthese DLTS through the filter of highest grades. Czechoslovak J. Phys. A 41 (1991), 354-368.
[7] P. Janovský: Possibilities of interpretation of anomalous behavior of DLTS spectra. PhD. thesis, Technical University of Brno - FE, 1989, pp. 112.
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