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The dispersion function is adjustable from positive to negative.
Typically, a dispersion function is minimized as compact territories are sought.
A particular generalization of the plasma dispersion function, which is linked to the regular plasma dispersion function via recurrence relations is discussed.
A pole-free dispersion function, efficiently computable from the FEM stiffness matrix, is derived.
The dispersion function can be zero along the whole circumference when (1+1/γ02 E→=−(v→0×B→).
Using various optimizations and an efficient implementation of the regular plasma dispersion function, further speed up is obtained.
Similar(38)
Dispersion functions are obtained from boundary conditions in an analytical form of functional determinants for each value of the generalized wave number.
Existing literature reveals that practically all the works on commercial districting use center-based dispersion functions.
By virtue of multiparametric perturbation techniques, sensitivity analyses are performed to achieve an analytical asymptotic approximation of the dispersion functions.
The exact dispersion functions are compared with explicit – although approximate – dispersion relations, obtained from asymptotic perturbation solutions of the eigenproblem governing the Floquet Bloch theory.
In the first case the propagation of harmonic waves and the dispersion functions have been obtained by the discrete Floquet Bloch approach.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com