Beam Width between First Null (BWFN) of Helical Antenna Solution

STEP 0: Pre-Calculation Summary
Formula Used
Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna))
BWfn = 115*Cλ^(3/2)/(C*sqrt(S*n))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Helical Beam Width of First Null Broadside Array - (Measured in Radian) - Helical Beam Width Of First Null Broadside Array in which a number of identical parallel antennas arranged along a line perpendicular to the line of array axis is known as broadside array.
Helix Circumference - (Measured in Meter) - Helix circumference of an imaginary cylinder that the helix conductor is wound around expressed in wavelengths. The ideal value for a helical antenna is 1.0.
Operational Circumference - (Measured in Meter) - Operational circumference is expressed in millimeters according to the operational wavelength.
Turn Spacing - (Measured in Meter) - Turn Spacing in the antenna is the spacing between each turn of the antenna.
Number of Turns of Helical Antenna - Number Of Turns Of Helical Antenna is the number of identical parallel antennas are arranged along a line.
STEP 1: Convert Input(s) to Base Unit
Helix Circumference: 0.8 Meter --> 0.8 Meter No Conversion Required
Operational Circumference: 1.467 Meter --> 1.467 Meter No Conversion Required
Turn Spacing: 35.3 Meter --> 35.3 Meter No Conversion Required
Number of Turns of Helical Antenna: 6.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BWfn = 115*Cλ^(3/2)/(C*sqrt(S*n)) --> 115*0.8^(3/2)/(1.467*sqrt(35.3*6.01))
Evaluating ... ...
BWfn = 3.85104078675442
STEP 3: Convert Result to Output's Unit
3.85104078675442 Radian -->220.64838381381 Degree (Check conversion ​here)
FINAL ANSWER
220.64838381381 220.6484 Degree <-- Helical Beam Width of First Null Broadside Array
(Calculation completed in 00.004 seconds)

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Helical Antennas Calculators

Beam Width between First Null (BWFN) of Helical Antenna
​ LaTeX ​ Go Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna))
Gain of Helical Antenna
​ LaTeX ​ Go Helical Antenna Gain = 11.8+10*log10(Helix Circumference^2*Number of Turns of Helical Antenna*Turn Spacing)
Helix Circumference of Helical Antenna
​ LaTeX ​ Go Helix Circumference = Input Impedance/140
Input Impedance of Helical Antenna
​ LaTeX ​ Go Input Impedance = 140*Helix Circumference

Beam Width between First Null (BWFN) of Helical Antenna Formula

​LaTeX ​Go
Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna))
BWfn = 115*Cλ^(3/2)/(C*sqrt(S*n))

How is helical antenna constructed?

Helical antenna or helix antenna is the antenna in which the conducting wire is wound in helical shape and connected to the ground plate with a feeder line.

How to Calculate Beam Width between First Null (BWFN) of Helical Antenna?

Beam Width between First Null (BWFN) of Helical Antenna calculator uses Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna)) to calculate the Helical Beam Width of First Null Broadside Array, The Beam Width between First Null (BWFN) of Helical Antenna formula is similar to the half power beam width, except the first null angle is estimated between the points of the lowest gain around the main lobe (nulls). Helical Beam Width of First Null Broadside Array is denoted by BWfn symbol.

How to calculate Beam Width between First Null (BWFN) of Helical Antenna using this online calculator? To use this online calculator for Beam Width between First Null (BWFN) of Helical Antenna, enter Helix Circumference (Cλ), Operational Circumference (C), Turn Spacing (S) & Number of Turns of Helical Antenna (n) and hit the calculate button. Here is how the Beam Width between First Null (BWFN) of Helical Antenna calculation can be explained with given input values -> 12642.22 = 115*0.8^(3/2)/(1.467*sqrt(35.3*6.01)).

FAQ

What is Beam Width between First Null (BWFN) of Helical Antenna?
The Beam Width between First Null (BWFN) of Helical Antenna formula is similar to the half power beam width, except the first null angle is estimated between the points of the lowest gain around the main lobe (nulls) and is represented as BWfn = 115*Cλ^(3/2)/(C*sqrt(S*n)) or Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna)). Helix circumference of an imaginary cylinder that the helix conductor is wound around expressed in wavelengths. The ideal value for a helical antenna is 1.0, Operational circumference is expressed in millimeters according to the operational wavelength, Turn Spacing in the antenna is the spacing between each turn of the antenna & Number Of Turns Of Helical Antenna is the number of identical parallel antennas are arranged along a line.
How to calculate Beam Width between First Null (BWFN) of Helical Antenna?
The Beam Width between First Null (BWFN) of Helical Antenna formula is similar to the half power beam width, except the first null angle is estimated between the points of the lowest gain around the main lobe (nulls) is calculated using Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna)). To calculate Beam Width between First Null (BWFN) of Helical Antenna, you need Helix Circumference (Cλ), Operational Circumference (C), Turn Spacing (S) & Number of Turns of Helical Antenna (n). With our tool, you need to enter the respective value for Helix Circumference, Operational Circumference, Turn Spacing & Number of Turns of Helical Antenna and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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