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20 EHFHGHKH@ihemqZ_fke_^mxs__\ujZ`_ gb_hij_^_eyxs__w\hexpbxkbkl_fu −1 & & ( Ω Iˆ − Hˆ eff ) a = t , ]^_ t & -\_dlhjhij_^_eyxsbci_j_oh^ubahkgh\gh]hkhklhygby ⎛ ES −VS,P− 1 −VS,P+ 1 ⎞ ⎜ ⎟ Hˆ eff = ⎜−VP −1,S EP− 1 0 ⎟ ⎜ ⎟ ⎝−VP + 1,S 0 EP+ 1 ⎠ A^_kv E LM = ELM −( i 2) Γ LM -dhfie_dkgu_d\Zabwg_j]bbkhklhygbcoZjZdl_jbamxsZy h^gh\j_f_gghiheh`_gb_ELM brbjbgmΓLM khklhygbcZ V S , P± 1 -fZljbqgucwe_ f_gli_j_oh^Zih^^_ckl\b_fkbevgh]hiheyf_`^mkhhl\_lkl\mxsbfbkhklhygbyfb IhdZaZgh qlh ijb ex[hc iheyjbaZpbb kbevgh]h ihey kms_kl\m_l mgblZjgh_ ij_h[jZah\Zgb_ ijb\h^ys__ fZljbpm wnn_dlb\gh]h ]ZfbevlhgbZgZ d kbkl_f_ ^\mo k\yaZgguokhklhygbcbh^gh]hg_k\yaZggh]hK_q_gb_nhlhbhgbaZpbbkbkl_fu©Zlhf kbevgh_ihe_ªijh[gufihe_fkwg_j]b_ckhhl\_lkl\mxs_ch[eZklbi_j_dju\Zxsbo kyj_ahgZgkh\kmq_lhfbgl_jn_j_gpbhgguownn_dlh\hdZau\Z_lky\hafh`gufij_^ klZ\blv\ZgZeblbq_kdhf\b^_\\b^_kmffuihkhklhygbyfkbkl_fu©Zlhfihe_ªIZ jZf_ljZfbmijZ\eyxsbfbbg^mpbjh\Zgghcbgl_jn_j_gpbhgghckljmdlmjhcy\eyxlky bgl_gkb\ghklbqZklhluiheyjbaZpbbihe_c σ & & T = 1− Im( t ( ΩIˆ − Hˆ eff ) t) . σ d M]eh\h_jZkij_^_e_gb_nhlhwe_dljhgh\fh`ghihemqblvba\ujZ`_gby^ey\_ jhylghklb\ue_lZnhlhwe_dljhgh\\_^bgbpm\j_f_gb\gZijZ\e_gbb k & hij_^_ey_fhc 2 d dZd a & ∫ dE : Ek dt dσ σ 2 = sin ( Θ) ( 1+ Acos( 2ϕ + ϕ0 ) dΩ 2π ]^_ ( 2) −1 ( ) 1 ( ˆ ˆ & 2 − ) ( ˆ ˆ & ⎛ ⎞ ⎜ ( ) −1 ( ) −1 ∑ ΩI −H eff t j∑ ΩI −H eff ) t ij ij' j' ⎜ ( Ωˆ− ˆ & 2 ) ( Ωˆ− ˆ & 2 ∑ I H eff t j∑ I H eff ) t ij ij' j' j j' j j' A = 2 ϕ = arg⎜ 2 2 ( 2) −1 ( ˆ ˆ & ⎜ ( 2) −1 ∑ ΩI −H eff ) t ( ) ij j ⎜ ∑ Ωˆ− ˆ & I H eff t j ⎟ ⎟⎟⎟⎟⎟ ij j , ⎝ j ⎠. >ey^ZgghcaZ^Zqb^bnn_j_gpbZevgh_k_q_gb_nhlhwe_dljhgh\\aZ\bkbfhklbhl wg_j]bb\lhqghklbih\lhjy_lihegh_k_q_gb_nhlhbhgbaZpbb
Ih^k_dpbyZlhfghcby^_jghcnbabdb 21 >ey pbjdmeyjgh iheyjbah\Zggh]h ijh[gh]h ihey k_q_gb_ h[eZ^Z_l ZdkbZevghc kbff_ljb_chlghkbl_evghhkb z H^gZdh_kebiheyjbaZpbyiheylZdh\ZqlhaZk_eyxlky ih^mjh\gb 1 P kjZagufbagZq_gbyfb M lh\k_q_gbbihy\ey_lkyaZ\bkbfhklvhlih eyjgh]h m]eZ Kl_i_gv iheyjghc Zkbff_ljbb aZ\bkbl hl iheyjbaZpbhgguo oZjZdl_jb klbdihe_cbwg_j]bb\ha[m`^_gbyijh[gufihe_f 1. Mies F.H., Phys. Rev. 175 164 (1968). 2. =_ee_jXB@WLN 3. Heller Y.I., Phys. Lett. 82A 4 (1981). 4. Bachau H., Phys. Rev. A 34 4785 (1986). 5. Karapanagioti N.E., Phys. Rev. A 53 2587 (1996). 6. Magunov A.I., Rotter I., Strakhova S.I. J. Phys. B: At. Mol. Opt. Phys., 32, 1669 (1999). 7. Fano U., Phys. Rev 178 131 (1969). M>D BKKE>H1 (n - bn e –dhgp_gljZpbyhljbpZl_evguobhgh\bwe_dljh gh\khhl\_lkl\_gghwlhijb\h^bldaZf_lghfmbaf_g_gbxiZjZf_ljh\ieZafuaZjy^h \uckhklZ\NJWWIhwlhfmijbfh^_ebjh\ZgbbieZafuwe_dljhhljbpZl_evguo]Zah\ g_h[oh^bfh ijZ\bevgh hibku\Zlv ijhp_kku jZajmr_gby hljbpZl_evguo bhgh\ Zdlb\ gufb g_cljZeZfb b bf_lv lhqgu_ agZq_gby dhgklZgl kdhjhkl_c wlbo ijhp_kkh\ G_ kfhljy gZ lh qlh ieZafZ qbklh]h dbkehjh^Z y\ey_lky h^gbf ba gZb[he__ bamq_gguo h[t_dlh\ bf_xsb_ky \ ebl_jZlmj_ ^Zggu_ ih dhgklZglZf kdhjhkl_c ]b[_eb hljbpZ l_evguobhgh\gZf_lZklZ[bevguofhe_dmeZoO 2 (a 1 û g kms_kl\_gghjZaebqZxlky>@ hlebqb_khklZ\ey_lhdhehh^gh]hihjy^dZWlhk\yaZghkljm^ghklyfbbaf_j_gbydZd fhe_dme O 2 (a 1 û g lZd b hljbpZl_evguo bhgh\ L_f g_ f_g__ dhgp_gljZpby f_lZklZ 21
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20<br />
EHFHGHKH@ihemqZ_fke_^mxs__\ujZ`_<br />
gb_hij_^_eyxs__w\hexpbxkbkl_fu<br />
−1 & &<br />
( Ω Iˆ − Hˆ<br />
eff<br />
) a = t ,<br />
]^_ t & -\_dlhjhij_^_eyxsbci_j_oh^ubahkgh\gh]hkhklhygby<br />
⎛ ES<br />
−VS,P−<br />
1<br />
−VS,P+<br />
1<br />
⎞<br />
⎜<br />
⎟<br />
Hˆ<br />
eff<br />
= ⎜−VP<br />
−1,S<br />
EP−<br />
1<br />
0 ⎟<br />
⎜<br />
⎟<br />
⎝−VP<br />
+ 1,S<br />
0 EP+<br />
1 ⎠<br />
A^_kv E LM = ELM<br />
−( i 2) Γ LM -dhfie_dkgu_d\Zabwg_j]bbkhklhygbcoZjZdl_jbamxsZy<br />
h^gh\j_f_gghiheh`_gb_ELM<br />
brbjbgmΓLM<br />
khklhygbcZ V<br />
S , P±<br />
1<br />
-fZljbqgucwe_<br />
f_gli_j_oh^Zih^^_ckl\b_fkbevgh]hiheyf_`^mkhhl\_lkl\mxsbfbkhklhygbyfb<br />
IhdZaZgh qlh ijb ex[hc iheyjbaZpbb kbevgh]h ihey kms_kl\m_l mgblZjgh_<br />
ij_h[jZah\Zgb_ ijb\h^ys__ fZljbpm wnn_dlb\gh]h ]ZfbevlhgbZgZ d kbkl_f_ ^\mo<br />
k\yaZgguokhklhygbcbh^gh]hg_k\yaZggh]hK_q_gb_nhlhbhgbaZpbbkbkl_fu©Zlhf<br />
kbevgh_ihe_ªijh[gufihe_fkwg_j]b_ckhhl\_lkl\mxs_ch[eZklbi_j_dju\Zxsbo<br />
kyj_ahgZgkh\kmq_lhfbgl_jn_j_gpbhgguownn_dlh\hdZau\Z_lky\hafh`gufij_^<br />
klZ\blv\ZgZeblbq_kdhf\b^_\\b^_kmffuihkhklhygbyfkbkl_fu©Zlhfihe_ªIZ<br />
jZf_ljZfbmijZ\eyxsbfbbg^mpbjh\Zgghcbgl_jn_j_gpbhgghckljmdlmjhcy\eyxlky<br />
bgl_gkb\ghklbqZklhluiheyjbaZpbbihe_c<br />
σ & &<br />
T<br />
= 1−<br />
Im( t ( ΩIˆ<br />
− Hˆ<br />
eff<br />
) t)<br />
.<br />
σ<br />
d<br />
M]eh\h_jZkij_^_e_gb_nhlhwe_dljhgh\fh`ghihemqblvba\ujZ`_gby^ey\_<br />
jhylghklb\ue_lZnhlhwe_dljhgh\\_^bgbpm\j_f_gb\gZijZ\e_gbb k & hij_^_ey_fhc<br />
2<br />
d<br />
dZd a &<br />
∫ dE :<br />
Ek<br />
dt<br />
dσ<br />
σ 2<br />
= sin ( Θ) ( 1+<br />
Acos( 2ϕ<br />
+ ϕ0<br />
)<br />
dΩ<br />
2π<br />
]^_<br />
( 2)<br />
−1<br />
( )<br />
1<br />
( ˆ ˆ<br />
&<br />
2<br />
−<br />
) ( ˆ ˆ<br />
&<br />
⎛<br />
⎞<br />
⎜<br />
( )<br />
−1<br />
( )<br />
−1<br />
∑ ΩI<br />
−H<br />
eff<br />
t<br />
j∑<br />
ΩI<br />
−H<br />
eff<br />
) t<br />
ij<br />
ij'<br />
j'<br />
⎜<br />
( Ωˆ−<br />
ˆ<br />
&<br />
2<br />
) ( Ωˆ−<br />
ˆ<br />
&<br />
2<br />
∑ I H<br />
eff<br />
t<br />
j∑<br />
I H<br />
eff<br />
) t<br />
ij<br />
ij'<br />
j'<br />
j<br />
j'<br />
j<br />
j'<br />
A = 2<br />
ϕ = arg⎜<br />
2<br />
2<br />
( 2)<br />
−1<br />
( ˆ ˆ<br />
&<br />
⎜<br />
( 2)<br />
−1<br />
∑ ΩI<br />
−H<br />
eff<br />
) t<br />
( )<br />
ij j<br />
⎜ ∑ Ωˆ−<br />
ˆ<br />
&<br />
I H<br />
eff<br />
t<br />
j<br />
⎟ ⎟⎟⎟⎟⎟ ij<br />
j<br />
, ⎝<br />
j<br />
⎠.<br />
>ey^ZgghcaZ^Zqb^bnn_j_gpbZevgh_k_q_gb_nhlhwe_dljhgh\\aZ\bkbfhklbhl<br />
wg_j]bb\lhqghklbih\lhjy_lihegh_k_q_gb_nhlhbhgbaZpbb
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