Une présentation mathématique de la méthode de Cagniard-de Hoop Partie I En dimension deux
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Une présentation mathématique de la méthode de Cagniard-de Hoop Partie I En dimension deux Julien Diaz — Patrick Joly. N° 5824 Février 2006. N 0249-6399. ISRN INRIA/RR--5824--FR. Thème NUM. apport de recherche.
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(115)
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(146)
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(173)
(174) Dρ = {p ∈ D | |p| < ρ} ,
(175)
(176)
(177)
(178) Γρ = {p ∈ Γ | |p| < ρ} ,
(179)
(180)
(181)
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(184) |misunqeoeiwj@giZLeF` usynm A+ykXmoZ<;$ZehgjdkXZ#X Z Z Z 9 :y§ u< ; Ξ(p)dp + Ξ(p)dp + Ξ(p)dp = 0. ¹¶ wy®|wnxXZLmiY[WLe^Zj@wgpy{fk+ l A+Z2j+X n©ginsyj{fZ wmiwy|njXZ|wumomilZp@kXZjXsyk+e^wKysuj+eG|}UXsunqeznZZgGxXkXnqeipyk+Z x < 0 suj¨ylmiBn A+Z ezn =m(p) ≥ 0 Zg <(p) 6= 0 <e(|y| 1 + p + ipx) > 0 Zg^{fsujI|p@kXZyfxIsykXm
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(188) K :. D(. =m(p). i Γ−. Γ+ −i cos θ D. <e(p). −i. nykXmoZ,7eX:vZxXmilLeoZj@giwgonsuj¡{fZ Γ Zg Γ {Xwuj+eVZ/xXwuj|suY[xXZ¦fZ +. −. !_"$#.
(189)
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(200)
(201)
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(209) L :. D(. {Xsuj+| Z. e. – » 1 − sc |y|(1+p2 ) 2 +ipx. dp = −. Z. ". +∞. # 1 dγ + (t) dγ − (t) −st − e dt. 1 1 (1 + γ + (t)2 ) 2 dt (1 + γ − (t)2 ) 2 dt 1. £ j+Z/moZehgiZx+k+e^pyk3® ªlOwukXZLm
(210) w[p@k+wujygin©gil . 1. Γ. (1 + p2 ) 2. r c. dγ ± (t) , dt (1 + γ ± (t)2 ) 1. x8suk+m|ZqwsujkfgonneoZ{ ® w8sum}{ 9 :u§^:L;KX. 1 2. 1 + γ ± (t)2. eosungLfZLj¡kfgonnqeiwj@g
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