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.

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David

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up vote
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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.

asked 3 hours ago

David

111

New contributor

add a commentÂ |Â

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.

asked 3 hours ago

David

111

New contributor

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

asked 3 hours ago

David

111

New contributor

asked 3 hours ago

David

111

New contributor

asked 3 hours ago

David

111

New contributor

asked 3 hours ago

David

111

asked 3 hours ago

David

111

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.

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

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1 Answer
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1 Answer
1

active

oldest

votes

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.

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

63618

add a commentÂ |Â

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.

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

63618

add a commentÂ |Â

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.

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

63618

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.

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

63618

edited 16 mins ago

Phil Frost - W8II

26k142113

edited 16 mins ago

Phil Frost - W8II

26k142113

edited 16 mins ago

Phil Frost - W8II

26k142113

answered 1 hour ago

Brian K1LI

63618

answered 1 hour ago

Brian K1LI

63618

answered 1 hour ago

Brian K1LI

63618

add a commentÂ |Â

David is a new contributor. Be nice, and check out our Code of Conduct.

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