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Least-squares fitting of the phase map obtained in phase-shifting electronic speckle pattern interferometry
Optics Letters
|October 28, 2009
Summary
A novel method effectively removes noise from deformation phase maps in phase-shifting electronic speckle pattern interferometry. This technique achieves precise phase measurements, reducing fluctuations to below 0.05 rad while preserving critical phase jumps.
Area of Science:
- Optical Metrology
- Experimental Mechanics
- Interferometry
Background:
- Phase-shifting electronic speckle pattern interferometry (PS-ESPI) is susceptible to noise in deformation phase maps.
- Existing noise reduction methods can obscure important phase details like sawtooth jumps.
Purpose of the Study:
- To develop a new, robust method for noise reduction in PS-ESPI deformation phase maps.
- To improve the accuracy of phase measurements without losing critical deformation information.
Main Methods:
- A novel least-squares fitting approach is employed, directly estimating noise-free phase values from intensity differences of four interference patterns.
- A 5 x 5 pixel fitting window was utilized to analyze the intensity distributions.
Main Results:
- The developed method significantly reduces phase fluctuations in uniform deformation areas to less than 0.05 radians.
- Sharp sawtooth phase jumps, often lost in other methods, are accurately preserved.
Conclusions:
- The new method offers a superior approach to noise reduction in PS-ESPI.
- It enables more accurate deformation analysis by maintaining phase map integrity and precision.

