Dipole antenna radiation field equation

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Can anybody provide me with an idealised formula that describes the radiation pattern of an omnidirectional dipole antenna?



In particular I am interested in the formula that creates a plot similar to the following:



enter image description here



Note: I am looking for a simplified closed-form equation, not a full field simulation.






antenna dipole radiation-pattern







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    up vote
    2
    down vote

    favorite












    Can anybody provide me with an idealised formula that describes the radiation pattern of an omnidirectional dipole antenna?



    In particular I am interested in the formula that creates a plot similar to the following:



    enter image description here



    Note: I am looking for a simplified closed-form equation, not a full field simulation.






    antenna dipole radiation-pattern







    share|improve this question







    New contributor




    David is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.





















      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      Can anybody provide me with an idealised formula that describes the radiation pattern of an omnidirectional dipole antenna?



      In particular I am interested in the formula that creates a plot similar to the following:



      enter image description here



      Note: I am looking for a simplified closed-form equation, not a full field simulation.






      antenna dipole radiation-pattern







      share|improve this question







      New contributor




      David is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Can anybody provide me with an idealised formula that describes the radiation pattern of an omnidirectional dipole antenna?



      In particular I am interested in the formula that creates a plot similar to the following:



      enter image description here



      Note: I am looking for a simplified closed-form equation, not a full field simulation.






      antenna dipole radiation-pattern




      antenna dipole radiation-pattern






      share|improve this question







      New contributor




      David is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      David is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          The antenna you describe is "omnidirectional" only in the xy-plane; it has zero radiation along the z-axis. Thus, your dipole is mounted vertically; i.e., x=0 and y=0 for all segments.



          According to Antennas by John Kraus, the far E-field for a center-fed $lambda/2$ dipole in free space is:



          $$E = fraccosleft(piover 2costhetaright)sintheta$$



          In the case of a vertically mounted antenna, $theta$=0 at the horizon of the plot.






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            1 Answer
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            1 Answer
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            up vote
            4
            down vote













            The antenna you describe is "omnidirectional" only in the xy-plane; it has zero radiation along the z-axis. Thus, your dipole is mounted vertically; i.e., x=0 and y=0 for all segments.



            According to Antennas by John Kraus, the far E-field for a center-fed $lambda/2$ dipole in free space is:



            $$E = fraccosleft(piover 2costhetaright)sintheta$$



            In the case of a vertically mounted antenna, $theta$=0 at the horizon of the plot.






            share|improve this answer


























              up vote
              4
              down vote













              The antenna you describe is "omnidirectional" only in the xy-plane; it has zero radiation along the z-axis. Thus, your dipole is mounted vertically; i.e., x=0 and y=0 for all segments.



              According to Antennas by John Kraus, the far E-field for a center-fed $lambda/2$ dipole in free space is:



              $$E = fraccosleft(piover 2costhetaright)sintheta$$



              In the case of a vertically mounted antenna, $theta$=0 at the horizon of the plot.






              share|improve this answer
























                up vote
                4
                down vote










                up vote
                4
                down vote









                The antenna you describe is "omnidirectional" only in the xy-plane; it has zero radiation along the z-axis. Thus, your dipole is mounted vertically; i.e., x=0 and y=0 for all segments.



                According to Antennas by John Kraus, the far E-field for a center-fed $lambda/2$ dipole in free space is:



                $$E = fraccosleft(piover 2costhetaright)sintheta$$



                In the case of a vertically mounted antenna, $theta$=0 at the horizon of the plot.






                share|improve this answer














                The antenna you describe is "omnidirectional" only in the xy-plane; it has zero radiation along the z-axis. Thus, your dipole is mounted vertically; i.e., x=0 and y=0 for all segments.



                According to Antennas by John Kraus, the far E-field for a center-fed $lambda/2$ dipole in free space is:



                $$E = fraccosleft(piover 2costhetaright)sintheta$$



                In the case of a vertically mounted antenna, $theta$=0 at the horizon of the plot.







                share|improve this answer














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                edited 16 mins ago









                Phil Frost - W8II

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                answered 1 hour ago









                Brian K1LI

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