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Field Pattern of Broadside Array Formula

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Field Pattern refers to the angular dependence of the strength of the radio waves from the antenna or other source. Check FAQs

E = \cos (π \cdot \frac{\cos (Φ s)}{2})

E - Field Pattern?Φ_s - Phase Shift?π - Archimedes' constant?

Field Pattern of Broadside Array Example

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Here is how the Field Pattern of Broadside Array equation looks like with Values.

Here is how the Field Pattern of Broadside Array equation looks like with Units.

Here is how the Field Pattern of Broadside Array equation looks like.

0.9762 = \cos (3.1416 \cdot \frac{\cos (278)}{2})

0.9762 = \cos (3.1416 \cdot \frac{\cos (278°)}{2})

0.9762 = \cos (3.1416 \cdot \frac{\cos (278)}{2})

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Field Pattern of Broadside Array Solution

Follow our step by step solution on how to calculate Field Pattern of Broadside Array?

FIRST Step Consider the formula

E = \cos (π \cdot \frac{\cos (Φ s)}{2})

Next Step Substitute values of Variables

∴

E = \cos (π \cdot \frac{\cos (278°)}{2})

Next Step Substitute values of Constants

∴

E = \cos (3.1416 \cdot \frac{\cos (278°)}{2})

Next Step Convert Units

∴

E = \cos (3.1416 \cdot \frac{\cos (4.852rad)}{2})

Next Step Prepare to Evaluate

∴

E = \cos (3.1416 \cdot \frac{\cos (4.852)}{2})

Next Step Evaluate

∴

E = 0.976199282686783

LAST Step Rounding Answer

∴

E = 0.9762

Field Pattern of Broadside Array Formula Elements

Variables

Constants

Functions

Field Pattern

Field Pattern refers to the angular dependence of the strength of the radio waves from the antenna or other source.

Symbol: E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Field Pattern

Phase Shift

The phase shift is the difference in the phase angle of the transmitting and receiving waves.

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Shift

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Array Antennas category

Go Beam Width between First Null (BWFN) Broadside Array

BWFN = \frac{2 \cdot λ b}{d \cdot N}

Go Beam Width between First Null (BWFN) Endside Array

BW end = 2 \cdot \sqrt{\frac{2 \cdot λ b}{N \cdot d}}

How to Evaluate Field Pattern of Broadside Array?

Field Pattern of Broadside Array evaluator uses Field Pattern = cos(pi*cos(Phase Shift)/2) to evaluate the Field Pattern, The Field Pattern of Broadside Array formula is defined as a one or two dimensional array in which the direction of radiation of the radio waves is perpendicular to the plane of the antennas. To radiate perpendicularly, the antennas must be fed in phase. Field Pattern is denoted by E symbol.

How to evaluate Field Pattern of Broadside Array using this online evaluator? To use this online evaluator for Field Pattern of Broadside Array, enter Phase Shift (Φ_s) and hit the calculate button.

FAQs on Field Pattern of Broadside Array

What is the formula to find Field Pattern of Broadside Array?

The formula of Field Pattern of Broadside Array is expressed as Field Pattern = cos(pi*cos(Phase Shift)/2). Here is an example- 0.976199 = cos(pi*cos(4.85201532054332)/2).

How to calculate Field Pattern of Broadside Array?

With Phase Shift (Φ_s) we can find Field Pattern of Broadside Array using the formula - Field Pattern = cos(pi*cos(Phase Shift)/2). This formula also uses Archimedes' constant and Cosine (cos) function(s).

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