# Array Gain Calculator

Are you tired of manually calculating your array gain every time you make a change to your antenna system? Look no further than this user-friendly and efficient tool! Say goodbye to hours of tedious calculations and hello to increased accuracy and ease in your antenna system design. Our calculator provides you with customized solutions to optimize your signal strength and reduce interference. Whether you're an experienced engineer or a newcomer to antenna design, this tool will save you time and effort. Say goodbye to guesswork and hello to peak performance with our array gain calculator.

## Array Gain Calculator

Calculate the gain and directivity of an antenna array.

MHz
meters
meters
Array Gain Calculator Results
Frequency0
Distance0
Antenna ElementHalf-Wave Dipole
Number of Antenna Elements0
Spacing Between Elements0
Gain0
Directivity0

For antenna design and analysis, our array gain calculator is a useful tool. It complements the antenna gain calculator, offering insights into antenna array performance.

## How to Use the Array Gain Calculator

The Array Gain Calculator is a powerful tool designed to calculate the gain and directivity of an antenna array. Antenna arrays are essential components in various applications, including telecommunications, radar systems, and wireless communication. By understanding the performance characteristics of antenna arrays, engineers and technicians can optimize their designs for better signal reception and transmission.

## Instructions for Utilizing the Calculator

To effectively use the Array Gain Calculator, follow these steps:

1. Fill in the Required Input Fields

• Frequency: Enter the operating frequency of the antenna array in megahertz (MHz).
• Distance: Provide the distance between the antenna array and the target in meters.
• Antenna Element: Select the type of antenna element from the available options, which include Half-Wave Dipole, Quarter-Wave Dipole, Yagi, and Phased Array.
• Number of Antenna Elements: Specify the total number of antenna elements in the array.
• Spacing Between Elements: Enter the distance between adjacent antenna elements in meters.

2. Interpret the Output Fields Once you submit the input data, the calculator will generate the following results:

• Gain: This field indicates the gain of the antenna array in decibels relative to an isotropic radiator (dBi). It quantifies the concentration of radiation in a particular direction.
• Directivity: The directivity value represents the ability of the antenna array to focus its radiation in a specific direction. It is also measured in decibels (dB).

## Array Gain Calculator Formula

The calculation of gain and directivity in the Array Gain Calculator is based on the following formula:

Gain = Calculated Gain Value

The formula for gain varies depending on the selected antenna element. Below are the specific formulas used for each element:

• Half-Wave Dipole:
• Gain = 1.64 * Number of Antenna Elements
• Directivity = 1.76 * Number of Antenna Elements
• Quarter-Wave Dipole:
• Gain = 1.81 * Number of Antenna Elements
• Directivity = 1.85 * Number of Antenna Elements
• Yagi:
• Gain = 8.1 + 5 * log10(Number of Antenna Elements * Spacing Between Elements / Wavelength)
• Directivity = 10.9 + 5 * log10(Number of Antenna Elements * Spacing Between Elements / Wavelength)
• Phased Array:
• Gain = 10 * log10(Number of Antenna Elements^2)
• Directivity = 10 * log10(Number of Antenna Elements^2)

## Illustrative Example

Let's consider an example to demonstrate the usage of the Array Gain Calculator. Suppose we have an antenna array operating at a frequency of 900 MHz. The distance between the array and the target is 100 meters. The array consists of 8 half-wave dipole elements spaced 0.5 meters apart.

By inputting these values into the calculator, we obtain the following results:

• Gain: 13.12 dBi
• Directivity: 14.08 dB

These values indicate that the antenna array has a gain of 13.12 decibels relative to an isotropic radiator and a directivity of 14.08 decibels. These figures provide insights into the performance of the array and can help in optimizing its functionality.

## Illustrative Table Example

Frequency (MHz)

Distance (m)

Antenna Element

Number of Antenna Elements

Spacing Between Elements (m)

Gain (dBi)

Directivity (dB)

900100Half-Wave Dipole80.513.1214.08
1500200Quarter-Wave Dipole40.810.7211.4
2400150Yagi120.313.4814.5

In the table above, we present multiple rows of example data. Each row represents different input values for the calculator, showcasing the flexibility of the tool in various scenarios. The gain and directivity values are calculated based on the provided inputs.

The Array Gain Calculator is a valuable tool for engineers and technicians working with antenna arrays. By inputting the appropriate values, users can determine the gain and directivity of their arrays, allowing for optimized performance. Understanding these parameters is crucial for achieving efficient signal transmission and reception in telecommunications and other applications. Utilize this calculator to enhance your antenna array designs and improve overall system performance. 