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  • 42.50  (2)
  • Key words. Steady states, existence, uniqueness.  (1)
  • Springer  (3)
  • American Geophysical Union
  • Oxford University Press
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Keywords
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  • Springer  (3)
  • American Geophysical Union
  • Oxford University Press
Years
  • 1
    Electronic Resource
    Electronic Resource
    Relationship between temporal coherence and laser parameters in a two-longitudinal-mode HeNe laser (1996)
    Springer
    Applied physics 63 (1996), S. 8-11 
    Details
    ISSN: 1432-0649
    Keywords: 42.40 ; 43.55.Lt ; 42.50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The relationship between the temporal coherenceg (1) (τ) and laser parameters - the output relative intensity (I 1/I 2) and the frequency widthδϕ h of the longitudinal mode in a two-longitudinal-mode HeNe laser - is studied experimentally. The experimental results show that both the relative output intensity and the frequency width of the longitudinal mode have a great influence on the temporal coherenceg (1) (τ). Moreover, the spectral line-shape function of each longitudinal mode in a two-longitudinal mode HeNe laser is a Lorentzian function, with a frequency width of about 18.2 MHz. A model of the power spectrum with Gaussian amplitude distribution and equal frequency width of the longitudinal mode in a multi-longitudinal-mode gas laser is employed in the theoretical analysis. Good agreement between theory and experiment is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01112829
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  • 2
    Electronic Resource
    Electronic Resource
    Relationship between coherence length and output power of a multi-longitudinal-mode Ar+ laser (1995)
    Springer
    Applied physics 61 (1995), S. 111-115 
    Details
    ISSN: 1432-0649
    Keywords: 42.40 ; 42.55.Lt ; 42.50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The relationship between the temporal coherence (i.e., the coherence length) and the output power of a multi-longitudinal-mode Ar+ laser operated near the threshold current is studied. The experimental measurements show that the coherence length is a hyperbola as a function of the output power. A simple model of the multimode equal-amplitude power spectrum is employed in the theoretical analysis. Good agreement between theory and experiment is obtained. It is shown that for a multi-longitudinal-mode Ar+ laser, the product of coherence length and the output power is almost a constant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01090980
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  • 3
    Electronic Resource
    Electronic Resource
    Steady states of radially symmetric diffusion processes (1999)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 50 (1999), S. 849-859 
    Details
    ISSN: 0044-2275
    Keywords: Key words. Steady states, existence, uniqueness.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract. This note is concerned with the steady states of some diffusion processes arising from some physical problems. We are interested in the discussion of radially symmetric steady states, which lead to a degenerate and singular equation. Under some natural structural condition, we obtain the existence and uniqueness of nonnegative solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000330050183
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