Приближение заданного распределения поверхностного тока для расчета прямоугольных микрополосковых антенн. Нечаев Ю.Б. - 7 стр.

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       BaemqZ_fhfm \ k\h[h^gh_ ijhkljZgkl\h ihex khhl\_lkl\m_l lZd gZau\Z_fZy

\b^bfZy h[eZklv ijhkljZgkl\Z >@ \ dhlhjhc χ r2 < k 2  GZ iehkdhklb χ x , χ y ) – wlh

djm] S χ jZ^bmkZ k kp_gljhf\gZqZe_dhhj^bgZlLZdbfh[jZahffhsghklvbaemq_gby

\k\h[h^gh_ijhkljZgkl\hhij_^_ey_lkybgl_]jZehfih\b^bfhch[eZklb χ

                                                  ∫ Q (χ x , χ y ) dχ x dχ y ,
                                15
                       PR = −      Re                                                                              (21)
                                πk                Sχ

                          (         )
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                                k 2π                                        π 2 2π

             ∫   Q dχ x dχ y = ∫        ∫   Q χ r d χ r dϕ =                    ∫ ∫ Qk       sin θ cos θ dθ dϕ ,
                                                                                         2

           Sχ                   0       0                                       0   0

]^_m]he θ hlkqblu\Z_lkyhlhkb Oχ z Zm]he ϕ -\iehkdhklb χ x Oχ y hlhkb Oχ x <

j_amevlZl_ihemqZ_f PR \\b^_ ^Ze__iheZ]Z_lky µ = 1 ) [10]
                                             π 2 2π
                                PR =          ∫ ∫ f (θ , ϕ ) sin θ dθ dϕ                     ,                     (22)
                                              0        0

]^_
                                                     ~ 2
                        15 k 2                       J⊥
           f (θ , ϕ ) =                                                             +

                                
                                                   (          
                                                                        )
                          π  cos 2 θ + ε − sin 2 θ ctg 2  k h ε − sin 2 θ 
                                                                                
                                                                                 
                                                                                                              -    (23)
                                        ~ 2
                                        J ′′ ε − sin 2 θ   (                )
                                                                             
              +                                                               cos θ
                                                                                  2

                      (             )
                       ε − sin 2 θ + ε 2 cos 2 θ ctg 2  k h ε − sin 2 θ  
                                                                          
^bZ]jZffZgZijZ\e_gghklbfbdjhihehkdh\hcZgl_gguihfhsghklb
             ~     ~           ~           ~      ~           ~
             J ⊥ = J x sin ϕ − J y cos ϕ , J ′′ = J x cos ϕ + J y sin ϕ                                   .

Dhwnnbpb_glgZijZ\e_ggh]h^_ckl\byZgl_ggujZkkqblu\Z_lkyihnhjfme_
                                                               f (θ , ϕ )max
                                            D = 4π                                  .                              (24)
                                                                   PR