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Page: ECE 4270 Antennas 2 of 2 Quiz 3 Tuesday, 16 October 2012 A list of some useful equations and identities I. Rectangular to Spherical Transformation II. Spherical to Rectangular Transformation A r A θ A φ θ φ cos sin θ φ sin sin θ cos θ φ cos cos θ φ sin cos θ sin – φ sin – φ cos 0 A x A y A z = A x A y A z θ φ cos sin θ φ cos cos φ sin – θ φ sin sin θ φ sin cos φ cos θ cos θ sin – 0 A r A θ A φ =

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  • Page: ECE 4270 Antennas

    2 of 2Quiz 3Tuesday, 16 October 2012

    A list of some useful equations and identities

    I. Rectangular to Spherical Transformation

    II. Spherical to Rectangular Transformation

    ArAA

    cossin sinsin cos coscos sincos sin

    sin cos 0

    AxAyAz

    =

    AxAyAz

    cossin coscos sin sinsin sincos coscos sin 0

    ArAA

    =


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