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Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
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Second Harmonic Generation Electric Field Triplet Interferometry for Absolute Phasing.

Raiden Speelman1, Nicole M Gonzalez1, Camille M Bridgewater1

  • 1Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60202, United States.

The Journal of Physical Chemistry Letters
|January 29, 2026
PubMed
Summary
This summary is machine-generated.

We developed a new method called second harmonic generation (SHG) electric field triplet interferometry. This technique precisely measures signal phase and calibrates sample intensity without needing external references.

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Area of Science:

  • Nonlinear optics
  • Ultrafast spectroscopy
  • Surface science

Background:

  • Second harmonic generation (SHG) is a key nonlinear optical process.
  • Accurate phase and intensity measurements are crucial for SHG spectroscopy.
  • Existing methods often require external reference materials.

Purpose of the Study:

  • To introduce a novel SHG electric field triplet interferometry technique.
  • To enable internal calibration of SHG intensity and precise signal phase determination.
  • To overcome limitations of traditional SHG measurement protocols.

Main Methods:

  • Utilizing three mutually coherent ultrafast pulses (Sample Signal, Reference Oscillator, Local Oscillator).
  • Employing a common-path interferometer with controllable relative phases.
  • Subtracting a ROLO phase from the SIROLO interferogram to obtain the signal phase.
  • Internally calibrating SHG intensity using reflected fundamental light field.

Main Results:

  • Successfully measured the signal phase (ϕSI) with high accuracy.
  • Demonstrated on-the-fly calibration of SHG intensity, independent of experimental fluctuations.
  • Validated the method against standard materials (z-cut α-quartz, fused silica, hematite nanolayers) across multiple interferometers.

Conclusions:

  • The developed SHG electric field triplet interferometry offers a robust and self-calibrating approach.
  • This method eliminates the need for sample exchange with reference materials.
  • The technique is broadly applicable to other second-order nonlinear spectroscopies like sum-frequency generation.