Related Experiment Video
Updated: Jun 9, 2026

09:43
Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
Published on: March 20, 2017
Heterodyne efficiency fo a partially coherent optical signal
Applied Optics
|August 25, 2010
Summary
This study explores heterodyne efficiency for partially coherent signals. Maintaining optimal efficiency requires a relationship between beam parameters and detector size, even with signal offset.
Area of Science:
- Optical Engineering
- Signal Processing
- Quantum Optics
Background:
- Heterodyne detection is crucial for signal-to-noise ratio enhancement in optical systems.
- Partially coherent signals present challenges in achieving optimal heterodyne efficiency compared to fully coherent sources.
- Gaussian amplitude distributions are common assumptions for both signal and local oscillator beams in optical analysis.
Purpose of the Study:
- To analyze heterodyne efficiency considering a partially coherent signal and a coherent local oscillator.
- To investigate the impact of an input aperture on reducing background noise.
- To establish relationships for maintaining optimal efficiency despite decreasing signal coherence and signal offset.
Main Methods:
- Theoretical analysis of heterodyne efficiency for Gaussian beams with partial coherence.
- Inclusion of an input aperture to model background noise reduction.
- Mathematical derivation of relationships between beam parameters, detector dimensions, and signal offset for optimal efficiency.
Main Results:
- Heterodyne efficiency decreases as signal partial coherence degrades.
- A defined relationship exists between beam parameters and detector dimensions to preserve optimal efficiency.
- Signal offset, modeled with Gaussian probability, alters the optimum parameters for maximum efficiency.
Conclusions:
- Optimal heterodyne efficiency can be maintained with partially coherent signals by adjusting beam and detector parameters.
- Input apertures are effective in mitigating background noise.
- Signal spatial distribution and deviation from the detector axis significantly influence the conditions for maximum heterodyne efficiency.
Related Concept Videos
Propagation Speed of Electromagnetic Waves
Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
Doppler Effect - II
The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
Doppler Effect - I
The Doppler effect and Doppler shift were named after the Austrian physicist and mathematician Christian Johann Doppler in 1842, who conducted experiments with both moving sources and moving observers. Consider an observer standing on a street corner, observing an ambulance with a siren sound passing by at a constant speed. The observer experiences two characteristic changes in the sound of the siren. Initially, the sound increases in loudness as the ambulance approaches and decreases in...
Properties of Fourier Transform I
The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
Reconstruction of Signal using Interpolation
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

