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pro vyhledávání: '"V. Tratnik"'
Akademický článek
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Publikováno v:
Archaeometry. 57:704-719
This study deals with the mineralogical and chemical characterization of archaeometallurgical material from the Roman archaeological site of Castra (Ajdovscina, western Slovenia). Samples were initially analysed via optical microscopy and X-ray powde
Akademický článek
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Publikováno v:
Optics letters. 12(4)
We show that the instability threshold for a laser in which both polarizations are active can be much lower than the Haken second threshold and does not require the bad-cavity limit.
Autor:
M. V. Tratnik
Publikováno v:
Journal of Mathematical Physics. 32:2337-2342
A multivariable generalization is presented for all the discrete families of the Askey tableau. This significantly extends the multivariable Hahn polynomials introduced by Karlin and McGregor. The latter are recovered as a limit case from a family of
Autor:
M. V. Tratnik
Publikováno v:
Journal of Mathematical Physics. 32:2065-2073
A multivariable generalization is presented for all the continuous families of the Askey tableaux. This significantly extends some previously known multivariable Jacobi polynomials. The latter are recovered as a limit case from a family of multivaria
Autor:
D. David, M. V. Tratnik
Publikováno v:
Physica D: Nonlinear Phenomena. 51:308-315
A family of solitary waves is found which satisfy the coupled nonlinear Schrodinger equations governing optical pulse propagation in an elliptical core optical fiber. These are polarization modulated pulses which are bound states of two solitons whic
Publikováno v:
SIAM Journal on Mathematical Analysis. 22:272-294
The Laplace–Beltrami eigenvalue equation $H\Phi = \lambda \Phi $ on the n-sphere is studied, with an added vector potential term motivated by the differential equations for the polynomial Lauricella functions $F_A $. The operator H is self adjoint
Autor:
M. V. Tratnik
Publikováno v:
Journal of Mathematical Physics. 31:1559-1575
Several families of multivariable, biorthogonal, partly continuous and partly discrete, Wilson polynomials are presented. These yield limit cases that are purely continuous in some of the variables and purely discrete in the others, or purely discret
Autor:
M. V. Tratnik
Publikováno v:
Optics Letters. 17:917
The coupled nonlinear Schrödinger equations governing optical pulse propagation in birefringent fibers are shown to have solitonlike solutions that mix the two polarizations. These are essentially governed by the scalar nonlinear Schrödinger equati