Phase-shifting coronagraph

E n tra n c e. W a v e. -fro n t. W. Focal. Plane. Pupil. Plane. Pupil. Plane. T. T. Spatial. Filter. Phase-. Shifting. Device. MACH-ZEHNDER. INTERFEROMETER. 1 ...
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Phase-shifting coronagraph

Phase-shifting coronagraph

François Hénault, Alexis Carlotti, Christophe Vérinaud Institut de Planétologie et d’Astrophysique de Grenoble Université Grenoble-Alpes Centre National de la Recherche Scientifique BP 53, 38041 Grenoble – France

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

San Diego, 08-10-17

1

Phase-shifting coronagraph

Plan of presentation • • • •

Goal of the study Principle Optical design Numerical model – Simulation of measures intensities – Wavefront reconstruction procedure

• Numerical simulations – Three different phase-shifting schemes – Three types of phase mask coronagraphs – Two typical wavefront errors (to be measured)

• Interpretation of the results • Conclusion

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

San Diego, 08-10-17

2

Phase-shifting coronagraph

Goal of the study • Evaluate the measurement accuracy of wavefront sensing phase-shifting methods from inside a coronagraph • Put the phase-shifting device as far as possible within the coronagraph to compensate for Non common path aberrations (NCPA) • Compare phase-shifting in the pupil plane with phaseshifting in the image plane • Evaluate validity range: – Limited to weak aberrations or only by 2π-ambiguity [-λ/2,+λ/2] ? – Real or low-order wavefront sensor ?

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

San Diego, 08-10-17

3

Phase-shifting coronagraph

A brief history of phase-shifting telescopes Primary Mirror

Entrance Wave-front W

Focal Plane

Secondary Mirror

Spatial Filter T

Pupil Plane PhaseShifting Device

1

Entrance Wave-front W

Secondary Mirror

Auxiliary Optics

Primary Mirror

TELESCOPE Focal Plane

Cylinder PZT

F. Hénault, Optics Communications (2006)

Focal Plane

Secondary Mirror

α Auxiliary Optics

Single Mode Optical Fiber

F. Hénault, Applied Optics (2005)

Entrance Wave-front W

TELESCOPE

Primary Mirror

Pupil Plane

R. Angel, Nature (1994)

3

TELESCOPE

2

MACH-ZEHNDER INTERFEROMETER

T

Entrance Wave-front W

TELESCOPE

Primary Mirror

ZERNIKE WAVEFRONT SENSOR Focal Plane

Secondary Mirror

4

Relay Optics

PhaseShifting Device

Parabolic Mirror

Pupil Plane

J. K. Wallace et al, Proc. SPIE (2011)

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

San Diego, 08-10-17

4

Phase-shifting coronagraph

Principle • Three different phase-shifting schemes: Image mask plane

Lyot stop plane

T

T

O

T

1

T2

T O

O”’

O”

O’

3 - In coronagraph image plane

O”’

LOWFS

2 - In Lyot stop plane

O”

O’

T

1

- In telescope pupil plane

Coronagraphic plane

T

Phase-shifting device

Pupil plane

3

T

T

L1

L2

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

Pupil plane

T

L3 San Diego, 08-10-17

5

Phase-shifting coronagraph

Optical design Phase-shifting in Pupil/Lyot stop plane

Phase-shifting in coronagraph image plane

Sensing in image plane

Phaseshift φm

L1

Phase mask

L2

Beam splitter

Sensing in pupil plane

L’5

M’2

M’1

Phaseshift φm

L1

Pick-off mirror

Phase mask

L2

Beam splitter

L4

M1

M’1

Pick-off mirror

M’2

M1

M2

T

Lyot stop

T

T

Combining mirror M3

T

L5 Lyot stop

M2

L3

Detectors in pupil plane

L6 Coronagraph image plane

BS2

L3

Detector in image plane

Conf. 10400 – Techniques and Instrumentation for Detection of Exoplanets VIII

Coronagraph image plane

San Diego, 08-10-17

6

Phase-shifting coronagraph

Numerical model • Module 1: Complex amplitude propagation from plane to plane via Fourier transforms (see next slides) • Module 2: Simplified WFE reconstruction procedure using two Dirac “Delta” approximations D d

Phaseshifting area

d’

Delta approximation

Delta approximation

in pupil plane d / D