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  • American Institute of Physics (AIP)  (2)
  • Nature Publishing Group
  • 2005-2009
  • 2000-2004
  • 1995-1999
  • 1990-1994  (2)
  • 1990  (2)
Collection
Publisher
Years
  • 2005-2009
  • 2000-2004
  • 1995-1999
  • 1990-1994  (2)
Year
  • 1
    Electronic Resource
    Electronic Resource
    Tight frames of compactly supported affine wavelets (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 1898-1901 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: This paper extends the class of orthonormal bases of compactly supported wavelets recently constructed by Daubechies [Commun. Pure Appl. Math. 41, 909 (1988)]. For each integer N≥1, a family of wavelet functions ψ having support [0,2N−1] is constructed such that {ψjk(x)=2j/2ψ(2jx−k) kj,k∈Z} is a tight frame of L2(R), i.e., for every f∈L2(R), f=c∑jk 〈ψjk||f〉ψjk for some c〉0. This family is parametrized by an algebraic subset VN of R4N. Furthermore, for N≥2, a proper algebraic subset WN of VN is specified such that all points in VN outside of WN yield orthonormal bases. The relationship between these tight frames and the theory of group representations and coherent states is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528688
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    High-power Nd:glass laser transmission through optical fibers and its use in acceleration of thin foil targets (1990)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 67 (1990), S. 3297-3301 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Measurements on commercially available fused silica fibers and fiber tapers have shown that Nd:glass laser pulses of irradiance 〉3.5 GW cm−2 can be transmitted without bulk or surface damage. Optical energy at the fiber output can be used for efficient acceleration of thin metal foils. For 0.025-mm-thick aluminum coupled to a 0.2-mm-diam fiber, target foil velocities up to 2.3 km s−1 have been achieved with very modest laser energies (〈25 mJ).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.345364
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    Paper (German National Licenses)
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