Gain of a Gasdynamic Laser Utilizing Products of Liquid C6H6 and Gaseous O2 Combustion

SATO, Soei; Watanuki, Tadaharu; Matsuzaka, M.; Yamaguchi, Masahiro; Kubota, Hirotoshi

doi:10.1007/978-3-642-71859-5_46

Cited by 2 publications

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“…Finally, if 2 and 3 vanish simultaneously on an interval, then we face singularity and hence u cannot be determined directly. In this case, using Equation (20) and its ÿrst and second derivatives with respect to z, the optimal control u can be determined at each point of singularity as a function of the state variable x, i.e. u = u s (x) with u60 and h(z; x; u; L)60 (see Appendix C for detail).…”

Section: Gain Optimization With Respect To the Nozzle Shapementioning

confidence: 99%

A simplified quasi‐two‐dimensional model for gain optimization in carbon dioxide gasdynamic lasers (GDL)

Bahrampour

Farrahi

Radjabalipour

2002

Numerical Methods in Fluids

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SUMMARYIn this paper a simpliÿed quasi-two-dimensional model for small signal gain optimization in gasdynamic laser is introduced. In order to obtain a homogeneous medium with maximum optical gain in the active medium, by nozzle shape formation, the shock occurrence position is controlled and is postponed to some point behind the laser active medium. Then the method of calculus of variation is used to ÿnd the supersonic part of the nozzle of a gasdynamic laser with maximum gain in the active medium. The interesting result is that the supersonic part of such a nozzle consists of a wedge as the accelerating part of the nozzle, a smooth surface for the uniformization, and ÿnally a channel for the relaxation of the medium. (The middle section is characterized as the geometrical locus of points whose characteristic curves are concurrent at a certain point.) It is also shown that, overlooking a minor di erence in the gain, the nozzle can be chosen to be a shock free one with the ultimate optical uniformity.

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Section: Gain Optimization With Respect To the Nozzle Shapementioning

confidence: 99%