Field Pattern Of Broadside Array Calculator

Field Pattern Formula:

\[ E = \cos\left(\frac{\pi \cdot \cos(\Phi_s)}{2}\right) \]

Field Pattern (E):

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1. What is Field Pattern of Broadside Array?

The Field Pattern of a Broadside Array describes the angular dependence of the radiation strength from the antenna array. It determines how the radio waves are distributed in space around the array structure.

2. How Does the Calculator Work?

The calculator uses the field pattern formula:

\[ E = \cos\left(\frac{\pi \cdot \cos(\Phi_s)}{2}\right) \]

Where:

\( E \) — Field Pattern (dimensionless)
\( \pi \) — Archimedes' constant (≈3.14159)
\( \Phi_s \) — Phase Shift in radians
\( \cos \) — Cosine trigonometric function

Explanation: The formula calculates the field pattern based on the phase shift between array elements, showing how the radiation pattern changes with different phase relationships.

3. Importance of Field Pattern Calculation

Details: Accurate field pattern calculation is crucial for antenna design, beamforming, signal directionality control, and optimizing wireless communication systems.

4. Using the Calculator

Tips: Enter the phase shift value in radians. The calculator will compute the corresponding field pattern value using the trigonometric formula.

5. Frequently Asked Questions (FAQ)

Q1: What is a broadside array?
A: A broadside array is an antenna array where the maximum radiation occurs perpendicular to the axis of the array, creating a broad radiation pattern.

Q2: What does the field pattern represent?
A: The field pattern represents the relative strength of the radiated field in different directions around the antenna array.

Q3: How does phase shift affect the field pattern?
A: Phase shift between array elements controls the direction and shape of the radiation pattern, allowing beam steering and pattern shaping.

Q4: What are typical values for field pattern?
A: Field pattern values range from 0 to 1, where 1 represents maximum radiation strength and 0 represents minimum or null radiation.

Q5: When is this calculation most useful?
A: This calculation is essential for antenna engineers designing communication systems, radar arrays, and any application requiring controlled radiation patterns.