Sumários

Frequency behaviour. The Power Recycling Cavity

3 Maio 2024, 09:00 José Manuel Rebordão


Temporal response of LIGO, modelling the GW disturbance on the end mirrors. Poles. Bandwidth and tunability.

Brief overview of the LIGO laser system.

The Power Recycling Cavity (PRC): functions, implementation using a composite FP cavity with 3 mirrors.

Concatenation of 2 FP cavities; reflectance and transmittance. Resonance and anti-resonant conditions.

PRC gain and operational conditions

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Signal Recycling cavity (SRC)

Fabry-Perot cavities

29 Abril 2024, 14:00 José Manuel Rebordão


Analysis of general 2 mirror FP cavities, reflection and transmittance, power cavity gain.

Increased sensitivity due to the huge phase amplification of the reflected wave at resonances.

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LIGO Power Recycling Cavity (PRC)

Reviews. Scattering matrix

26 Abril 2024, 09:00 José Manuel Rebordão


Reviews: Fabry-Perot interferometer, gaussian waves, ressonant cavities.

Layered media: Wave transfer amd scattering matrix approaches. Applications to cascades systems. Lossless and reciprocal systems. Application to the Fabry-Perot case.


Wavefront metrology (class 3 in 3)

24 Abril 2024, 15:00 Alexandre Pereira Cabral


A Shack-Hartmann wavefront sensor was built based on an array of lenses that divide / sample the incoming wavefront into small sub-apertures, focusing independently the light from each lens in a 2D sensor that captures the focal plane pattern. This pattern was processed in order to obtain the position of each focus point from each individual lens.

 

An incident plane wave was created using a spatial filter and a collimated lens to produce a grid of equidistant focal points, the reference position, while several distorted waves (corresponding to a point source from an optical fibre in controlled positions) result in an uneven distribution of points that were referenced to the ideal plan wave situation in order to determine with the sensor the position of the fibre tip, using the Shack-Hartman sensor to measure an unknown wavefront based of the focus shifts from the calibration.

LIGO - overview

22 Abril 2024, 14:00 José Manuel Rebordão


LIGO overview. GW observatories. Main subsystems.

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Review of basic concepts of waves and resonant cavities