Skip to main content
CalcPro

Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator

Easily calculate and compute phased array antenna factor (af) & beam steering phase shift calculator with accurate equations, live formulas, and expert guidance.

Number of radiating elements.

Normalized spacing between adjacent elements (0.5 avoids grating lobes).

Steering angle off broadside (0° is broadside, 90° is end-fire).

Calculated Result
-103.2 °

Element Progressive Phase Shift (Δφ)

Element Progressive Phase Shift (Δφ)

-103.2 °

Progressive Phase Shift Deg

-103.2

Array Directivity Gain Db

12

Scanned Beamwidth Hpbw Deg

7.7

Broadside Beamwidth Deg

6.3

-103.2 — °

Calculation Breakdown

  1. Applied FormulaDetermines the progressive electronic phase shift required per antenna element to steer phased array radar and 5G beamforming lobes without physical dish motion.\Delta\phi = -k d \sin\theta_0, \quad HPBW(\theta_0) = \frac{0.886\lambda}{N d \cos\theta_0}

Phased Array Beam Steering Metric Output

Interactive visualization based on your current inputs

Calculated Value
-103.2-77.2-51.1-25.01.0Element Progressive Phase Shift (Δφ)

What Is the Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator?

This tool computes phased array antenna factor (af) & beam steering phase shift calculator with high precision arithmetic.

How Does the Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator Work?

Determines the progressive electronic phase shift required per antenna element to steer phased array radar and 5G beamforming lobes without physical dish motion.

Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Δϕ=−kdsin⁡θ0,HPBW(θ0)=0.886λNdcos⁡θ0\Delta\phi = -k d \sin\theta_0, \quad HPBW(\theta_0) = \frac{0.886\lambda}{N d \cos\theta_0}

Determines the progressive electronic phase shift required per antenna element to steer phased array radar and 5G beamforming lobes without physical dish motion.

How to Use the Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Phased Array Antenna Factor (AF) & Beam Steering Phase Shift Calculator Example

Input Values:

numberOfElementsN:16
elementSpacingOverWavelengthD:0.5
desiredSteeringAngleThetaDeg:35
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required °.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.