2004
DOI: 10.1103/physreva.69.053807
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Wave representation of geometrical laser beam trajectories in a hemiconfocal cavity

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Cited by 56 publications
(59 citation statements)
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“…Note that all the discussion corresponding to the off-axis pumping with (∆x, 0) can be applied to the case of (0, ∆y) for the degenerate family in terms of ψ (HG) 0,m 0 +Q·K,s 0 −P ·K (x, y, z). The wave-packet patterns of the coherent states ψ M n 0 (x, y, z; φ 0 ) are verified to manifest the RWD, and the phase factor φ 0 can be used to link to the starting ray of the geometric periodic orbits [31]. When M = 0 in Eq.…”
Section: A Frequency-degenerate Resonatormentioning
confidence: 82%
See 1 more Smart Citation
“…Note that all the discussion corresponding to the off-axis pumping with (∆x, 0) can be applied to the case of (0, ∆y) for the degenerate family in terms of ψ (HG) 0,m 0 +Q·K,s 0 −P ·K (x, y, z). The wave-packet patterns of the coherent states ψ M n 0 (x, y, z; φ 0 ) are verified to manifest the RWD, and the phase factor φ 0 can be used to link to the starting ray of the geometric periodic orbits [31]. When M = 0 in Eq.…”
Section: A Frequency-degenerate Resonatormentioning
confidence: 82%
“…The optical resonator satisfying a degenerate state is called frequency-degenerate cavity (FDC). Without loss of generality, we consider a plano-concave laser cavity with the length of L, comprised of a gain medium, a concave spherical mirror with the radius of curvature of R, and a planar output coupler [30,31].…”
Section: A Frequency-degenerate Resonatormentioning
confidence: 99%
“…where M +1 is the number of Hermite-Gaussian (HG) modes in frequency-degenerate family of ψ (HG) n0+Q·K,0,s0−P ·K (x, y, z). Therein, n 0 and s 0 represent the minimum transverse and maximum longitudinal orders in the degenerate family, respectively; the phase factor φ 0 links to the ray trajectory of classical geometric periodic orbits [15]. When M = 0 in Eq.…”
Section: B Diffraction Of Vortex Su(2) Wave-packetmentioning
confidence: 99%
“…However, the casting process is involved with many problems such as the rather low cooling rate, the large temperature difference between the exterior and the interior, the high internal stress, and limited ingot sizes [5][6][7][8][9][10]. The problems mentioned above can be overcome by the crucible movable spray deposition technology [11,12]. However, the as-deposited performs, usually with the porosity up to 5-15 vol%, are not proper for structural applications due to the relatively inferior mechanical properties.…”
Section: Introductionmentioning
confidence: 99%