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## Main Question or Discussion Point

Hello everyone,

I'm having trouble understanding how to evaluate this integral. I am not sure whether there is a closed form solution.

[itex]\int_{-\infty}^\infty e^{-j\sqrt{x^2+a^2}} e^{-jkx} dx[/itex]

I am trying to express a polar wave as a summation of plane waves, and this integral drops out when solving for the amplitudes of the plane waves. Thanks very much for your help. A link to a reference, or the necessary techniques would be very helpful.

-Patrick

I'm having trouble understanding how to evaluate this integral. I am not sure whether there is a closed form solution.

[itex]\int_{-\infty}^\infty e^{-j\sqrt{x^2+a^2}} e^{-jkx} dx[/itex]

I am trying to express a polar wave as a summation of plane waves, and this integral drops out when solving for the amplitudes of the plane waves. Thanks very much for your help. A link to a reference, or the necessary techniques would be very helpful.

-Patrick