MFS
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Related Articles from SNS
The Whitney method of fundamental solutions with Lusin wavelets
Announce Type: replace Abstract: We establish the theoretical foundation for a variant of the method of fundamental solutions (MFS), where the source points $\{q_j\}_{j=1}^\infty$ accumulate towards the domain in a Whitney fashion, meaning that their separation is proportional to the distance to the domain. We prove that the normalized Lusin wavelets $\psi_j(w) = b_j(w-q_j)^{-2}$ constitute a generalized basis, known as a frame, for the Hardy subspace of $L_2$-traces of holomorphic functions...
Transformation of a three-tone phase modulated CW laser field into sequence of short pulses
arXiv:2605.30933v1 Announce Type: new Abstract: This paper presents generation of Fourier-limited pulses from a periodically phase-modulated CW laser field by phase manipulation of its spectral components. Phase modulation in the form of modulus function of sine (MFS) is considered. It allows to produce pedestal-free pulses with controllable repetition rate and duty cycle.