Related Experiment Video
Updated: Jun 12, 2026

10:04
Sample Drift Correction Following 4D Confocal Time-lapse Imaging
Published on: April 12, 2014
Correction function for the lidar equation and some techniques for incoherent CO(2) lidar data reduction.
Applied Optics
|June 10, 2010
Summary
This study analyzes the convolution effect in carbon dioxide (CO2) lidar signals caused by long laser pulses. A novel deconvolution technique is introduced to accurately measure atmospheric scattering and gas content.
Area of Science:
- Atmospheric physics
- Optical remote sensing
- Spectroscopy
Background:
- Laser pulse duration significantly impacts lidar signal interpretation.
- Accurate atmospheric composition measurements are crucial for climate monitoring.
- Existing lidar equations do not fully account for pulse-induced signal distortions.
Purpose of the Study:
- To analyze the convolution effect in CO2 lidar signals due to long laser pulses.
- To develop a deconvolution method for improving lidar data accuracy.
- To enable precise measurement of atmospheric scattering and gas species content.
Main Methods:
- Modified the standard lidar equation.
- Introduced a novel correction function, C(r)(R).
- Implemented a two-step iterative deconvolution procedure.
Main Results:
- Characterized the behavior of the C(r)(R) correction function.
- Successfully extracted the aerosol scattering coefficient.
- Enabled accurate determination of gas species concentration.
Conclusions:
- The developed deconvolution technique effectively corrects for pulse-induced signal convolution.
- This method enhances the accuracy of differential absorption lidar measurements.
- Improved lidar data quality supports more reliable atmospheric studies.
Related Concept Videos
Distance Corrections
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
Application of Linearization and Approximation
A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
NMR Spectrometers: Resolution and Error Correction
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
Calibration Curves: Linear Least Squares
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
For data that follow a straight line, the standard method for fitting is the linear...

