Related Experiment Video
Updated: Nov 20, 2025

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
22.2K
Experimental evaluation of spectral efficiency from a circular array antenna producing a Laguerre-Gauss mode
Ben Allen1,2, Timothy D Drysdale3, Chris Stevens1
1Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK.
Royal Society Open Science
|January 25, 2021
Summary
This study measured electromagnetic fields from a circular antenna array producing Laguerre-Gauss (LG) modes. Results show sufficient mode purity for efficient data transmission using Quadrature Amplitude Modulation (QAM) schemes.
Area of Science:
- Electromagnetics
- Antenna Theory
- Optical Communications
Background:
- Laguerre-Gauss (LG) modes offer potential for multiplexing data streams in radio systems, enhancing spectral efficiency.
- Characterizing the electromagnetic field is crucial for designing advanced communication and radar systems.
Purpose of the Study:
- To present four-dimensional volumetric electromagnetic field measurements of a circular antenna array designed for LG mode generation.
- To evaluate the far-field LG mode purity and spectral efficiency achievable with the antenna array.
- To determine the suitability of the generated LG modes for supporting various Quadrature Amplitude Modulation (QAM) schemes.
Main Methods:
- Utilized four-dimensional volumetric electromagnetic field measurements (x, y, z, frequency).
- Designed and analyzed an 8-element circular antenna array to produce a Laguerre-Gauss (LG) mode (l = +1) from 9-10 GHz.
- Evaluated far-field LG mode purity and spectral efficiency in terms of supported QAM modulation.
Main Results:
- The circular antenna array demonstrated sufficient LG mode purity to support Binary Phase Shift Keying (BPSK) or Quadrature Phase Shift Keying (QPSK) over a 0.3 GHz bandwidth, yielding a spectral efficiency of 1.5 b/s/Hz per mode.
- Near the array's design frequency, 256-QAM modulation was supported over a 0.05 GHz band, achieving a spectral efficiency of 11 b/s/Hz per mode.
- The measurements provide practical insights into the performance of LG modes in radio frequency applications.
Conclusions:
- The characterized electromagnetic fields and demonstrated mode purity confirm the feasibility of using LG modes for spectrally efficient data transmission.
- The findings support the application of LG modes in advanced radio systems, including multiplexing and radar enhancement.
- This research contributes practical data for the successful design and implementation of future communication systems utilizing orbital angular momentum (OAM).
Related Concept Videos
Gauss's Law: Spherical Symmetry
8.6K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
8.6K
Time and frequency -Domain Interpretation of Phase-lag Control
195
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
195
Generating Electromagnetic Radiations
5.7K
The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
5.7K

