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The M2 parameter in space ---beam quality factor
Chengao Wang
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Review of the fundamental Gaussian modes in laser beams
Amplitude distribution at beam waist Amplitude distribution at any position
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Review of the fundamental Gaussian modes in laser beams
Rayleigh Range Propagation of the beam
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Review of the fundamental Gaussian modes in laser beams
In the far field, Divergence angle:
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Review of the fundamental Gaussian modes in laser beams
Rewrite the propagation of the beam using the definition of the divergence angle:
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The interpretation for “beam quality”
How the beam diverges in the far-field and how it focuses in the near-field
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Uncertainty Relationship
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Uncertainty relationship in Gaussian beams
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Uncertainty relationship in Gaussian beams
By Fourier transformation
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Uncertainty relationship in Gaussian beams
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Definition of the parameters in real laser beams
spot size Divergence angle
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The definition of M M is named as times diffraction limit number, which characterize the beam quality for a real laser beam
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Propagation function for a real laser beam
For Gaussian beam For real laser beams
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Introduction to the instrument
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Applications Quality control Process control
Product or process development
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Thanks
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