The Martin Puplett Interferometer

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Table of contents

1 Introduction 
2 Terahertz heterodyne receivers 
2.1 Motivation
2.2 THz heterodyne receivers in astronomy
2.2.1 Main characteristics of heterodyne receivers
2.2.2 Overview of existing THz heterodyne receivers
2.3 General principle of heterodyne receivers
2.3.1 The heterodyne principle
2.3.2 Sensitivity of heterodyne receivers
2.4 Description of the different elements of a THz heterodyne receiver
2.4.1 The mixer
2.4.2 The local oscillator
2.4.3 The diplexer
2.4.4 The IF chain and the spectrometer
2.5 Our 2.6 THz heterodyne receiver
2.5.1 Description of our 2.6 THz heterodyne receiver
2.5.2 Main aspects of this PhD
3 Stability of the heterodyne receiver 
3.1 Introduction
3.1.1 Motivation
3.1.2 Influence of the noise on the optimal integration time
3.2 The Allan variance
3.2.1 Background and theory
3.2.2 Allan variance theory
3.2.3 Total power and spectral Allan variance
3.2.4 The calculation algorithm
3.3 Stability of our heterodyne receiver
3.3.1 Warm intermediate frequency chain and DFTS
3.3.2 Stability of the bias circuit and the cryogenic amplifier
3.3.3 Stability of the local oscillator and the HEB mixer
3.4 Conclusion
4 The Martin Puplett Interferometer (MPI) 
4.1 Motivation
4.2 Gaussian beam optics
4.2.1 Context and motivation
4.2.2 Electric field distribution of a Gaussian beam
4.2.3 Gaussian beam characteristics
4.2.4 Conclusion
4.3 Description of the MPI
4.3.1 Input of the MPI
4.3.2 Detailed description of the elements of the MPI
4.3.3 The rotation of the polarization in the MPI
4.3.4 The bandwidth of the MPI
4.4 Design of our MPI
4.4.1 Calculation of the ellipsoidal mirror (MLO)
4.4.2 Calculation of the grids’ required characteristics
4.5 Test and evaluation of each individual component of the MPI
4.5.1 The ellipsoidal mirror (MLO)
4.5.2 The polarizing grids
4.5.3 Efficiency of the roof-top mirrors
4.5.4 Air absorbance
4.6 Efficiency of the whole MPI
4.6.1 Presentation of the experiment
4.6.2 Different steps of the experiment
4.6.3 Conclusion
4.7 Conclusion
5 Phase gratings 
5.1 Background and theory
5.1.1 Motivation
5.1.2 Presentation of the phase gratings
5.2 The stepped phase gratings
5.2.1 Overview of the stepped phase gratings
5.2.2 Theory of Dammann gratings
5.2.3 Test of a transmissive Dammann grating
5.3 The Fourier grating
5.4 The Global phase grating
5.4.1 General presentation
5.4.2 Numerical calculation
5.4.3 Conversion of a phase profile into a grating’s surface
5.4.4 Electromagnetic simulations
5.5 Reflective and transmissive phase grating prototypes
5.5.1 Design considerations for the two prototypes
5.5.2 Numerical calculation
5.5.3 Design of the transmissive and reflective phase gratings
5.5.4 Electromagnetic simulations
5.5.5 Mechanical design
5.5.6 Geometrical measurements of the 2 prototypes
5.5.7 Electromagnetic simulation of the manufactured reflective grating
5.5.8 Test of the 2 prototypes
5.5.9 Noise temperature measurement of the receiver with a phase grating
5.6 Conclusion
6 Conclusion

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