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Interferometry: Division of Wavefront and Amplitude - Prof. James A. Mcneil, Study notes of Electromagnetism and Electromagnetic Fields Theory

Interferometry, specifically the division of wavefront and amplitude. Topics include temporal coherence, time and spatial domain interferometry, and various interferometer types such as lloyd's mirror, michelson interferometer, and sagnac interferometer. Applications include measuring optical surface quality and characterizing nonlinear self-focusing effects.

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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4) Spatial domain interferometry
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Download Interferometry: Division of Wavefront and Amplitude - Prof. James A. Mcneil and more Study notes Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

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"Class, I've got a lot of material to cover,

so to save time I won't be using vowels today.

Nw Its bgn, pis trn t pg 122."

II - Interferonletry by division of amplitude / Notion of temporal coherence

  1. Division of wavefront vs division of amplitude
  2. Temporal coherence of the source
  3. Time domain interferometry
  4. Spatial domain interferometry

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Interference by division of wavefront

Figure 3.3 Fowles

Lloyd’s mirror

Fresnel’s mirrors

Fresnel’s biprism

Add 10 μm delay on one beam

Spatial fringes taken with a CCD I(x,y)

Add 10 μm delay on one beam

The beams can’t interfere anymore, as the delay is larger than the temporal coherence of the laser

Delay = 0

Time-domain interferometry

Spatial domain interferometry

laser

laser

θ

  • (1) and (2) are overlapped
  • Integrating detector
  • One arm is delayed (and scanned)
  • Fringes in time I(t)

Photodiode Measure I at given time delay t

2D CCD

Record I(x,y)

  • (1) and (2) with different angle
  • Detector recording spatial profile
  • No delay between arms (zero delay)
  • Fringes in space I(x), I(y)

Interferometric autocorrelator Devices for measuring the intensity or field autocorrelation function of light, mostly used for determining the duration of ultrashort pulses

Wavelength

Space

Aberration-free

BS^ MR R=90%

2D Imaging Spectrometer CCD

50 fs / 1 mJ

BS R=90%

Sapphire plate

λ

r

Femtosecond laser pulse 50 fs

With nonlinear effect

Characterization of nonlinear self-focusing effect (Here at Mines. With Pr. Chip Durfee)

Spatio-spectral phase ϕ(r,λ)

Spatio-temporal laser intensity I(r,t) after nonlinear propagation