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{{A}_{n}}\left( {{x}^{i}} \right)=\frac{\exp \left( ikr \right)}{cr}\int{{{d}^{3}}x'{{j}_{n}}\left( x{{'}^{i}} \right)}-\frac{\exp \left( ikr \right)}{r}\int{{{d}^{3}}x'{{j}_{n}}\left( x{{'}^{i}} \right){{k}_{j}}x{{'}^{j}}}

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A n ( x i ) = exp ⁡ ( i ⁢ k ⁢ r ) c ⁢ r ∫ d 3 x ′ j n ( x ) ′ i - exp ⁡ ( i ⁢ k ⁢ r ) r ∫ d 3 x ′ j n ( x ) ′ i k j x j ′ fragments subscript 𝐴 𝑛 fragments ( superscript 𝑥 𝑖 ) 𝑖 𝑘 𝑟 𝑐 𝑟 superscript 𝑑 3 superscript 𝑥 ′ subscript 𝑗 𝑛 fragments ( x superscript superscript ) 𝑖 ′ 𝑖 𝑘 𝑟 𝑟 superscript 𝑑 3 superscript 𝑥 ′ subscript 𝑗 𝑛 fragments ( x superscript superscript ) 𝑖 ′ subscript 𝑘 𝑗 x superscript superscript absent 𝑗 ′ {\displaystyle{\displaystyle{{A}_{n}}\left({{x}^{i}}\right)=\frac{\exp\left(% ikr\right)}{cr}\int{{{d}^{3}}x^{\prime}{{j}_{n}}\left(x{{{}^{\prime}}^{i}}% \right)}-\frac{\exp\left(ikr\right)}{r}\int{{{d}^{3}}x^{\prime}{{j}_{n}}\left(% x{{{}^{\prime}}^{i}}\right){{k}_{j}}x{{{}^{\prime}}^{j}}}}}

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An(xi)=exp⁡(ikr)cr∫d3x′jn(x'i)−exp⁡(ikr)r∫d3x′jn(x'i)kjx'j

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