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Updated: Jul 9, 2026

08:39
Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
Summary
The Gouy phase shift in focused beams arises from spatial confinement, affecting transverse momentum and axial propagation. This study provides a general expression for this phase shift, explaining related diffraction integral phenomena.
Area of Science:
- Optics and Photonics
- Quantum Mechanics
Background:
- The Gouy phase shift is a well-known phenomenon in beam propagation.
- Its physical origin has been a subject of theoretical interest.
Purpose of the Study:
- To explicitly demonstrate the origin of the Gouy phase shift.
- To provide a general expression for the Gouy phase shift.
Main Methods:
- Analysis of focused beams considering transverse spatial confinement.
- Application of the uncertainty principle to relate spatial confinement and momentum spread.
- Derivation of a general expression for the Gouy phase shift.
Main Results:
- The Gouy phase shift originates from transverse spatial confinement.
- Transverse confinement leads to a spread in transverse momenta.
- A general expression for the Gouy phase shift is derived in terms of transverse momentum squared expectation values.
Conclusions:
- Spatial confinement is the fundamental cause of the Gouy phase shift.
- The derived expression unifies understanding of the Gouy phase shift and diffraction integrals.
- This work offers a deeper insight into wave propagation phenomena.
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