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

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Special Antennas

Antenna Theory Parameters

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✖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.ⓘ Helix Circumference [C_λ]			+10% -10%
✖Operational circumference is expressed in millimeters according to the operational wavelength.ⓘ Operational Circumference [C]			+10% -10%
✖Turn Spacing in the antenna is the spacing between each turn of the antenna.ⓘ Turn Spacing [S]			+10% -10%
✖Number Of Turns Of Helical Antenna is the number of identical parallel antennas are arranged along a line.ⓘ Number of Turns of Helical Antenna [n]			+10% -10%

✖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.ⓘ Beam Width between First Null (BWFN) of Helical Antenna [BW_fn]

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Formula

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Beam Width between First Null (BWFN) of Helical Antenna

Formula

`"BW"_{"fn"} = 115*"C"_{"λ"}^(3/2)/("C"*sqrt("S"*"n"))`

Example

`"220.6484°"=115*("0.8m")^(3/2)/("1.467m"*sqrt("35.3m"*"6.01"))`

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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))
BW_fn = 115*C_λ^(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

BW_fn = 115*C_λ^(3/2)/(C*sqrt(S*n)) --> 115*0.8^(3/2)/(1.467*sqrt(35.3*6.01))

Evaluating ... ...

BW_fn = 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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Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 7 Helical Antennas Calculators

Beam Width between First Null (BWFN) of Helical Antenna

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

Go Helical Antenna Gain = 11.8+10*log10(Helix Circumference^2*Number of Turns of Helical Antenna*Turn Spacing)

Half-Power Beamwidth of Helical Antenna

Go Half Power Beam Width = 52/(Helix Circumference*sqrt(Number of Turns of Helical Antenna*Turn Spacing))

Pitch Angle of Helical Antenna

Go Pitch Angle = arctan(Turn Spacing/(pi*Helix Diameter))

Axial Ratio of Helical Antenna

Go Axial Ratio = ((2*Number of Turns of Helical Antenna)+1)/(2*Number of Turns of Helical Antenna)

Helix Circumference of Helical Antenna

Go Helix Circumference = Input Impedance/140

Input Impedance of Helical Antenna

Go Input Impedance = 140*Helix Circumference

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

Helical Beam Width of First Null Broadside Array = 115*Helix Circumference^(3/2)/(Operational Circumference*sqrt(Turn Spacing*Number of Turns of Helical Antenna))
BW_fn = 115*C_λ^(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 BW_fn 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 (C_λ), 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 BW_fn = 115*C_λ^(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 (C_λ), 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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