The Principles of Astronomical Telescope Design

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1 The Principles of Astronomical Telescope Design Jingquan Cheng National Radio Astronomy Observatory Charlottesville, Virginia,.USA " 4y Springer

2 Fundamentals of Optical Telescopes A Brief History of Optical Telescopes General Astronomical Requirements ' Angular Resolution, '.. ' 6 1:2.2 Light Collecting Power and Limiting Star Magnitude Field of View and Combined Efficiency..' Atmospheric Windows and Site Selection Fundamentals of Astronomical Optics Optical Systems for Astronomical Telescopes Aberrations and Their Calculations Formulas of Telescope Aberrations Field Corrector Design Ray Tracing, Spot Diagram, and Merit Function Modern Optical Theory Optical Transfer Function Wave Aberrations and Modulation Transfer Function Wavefront Error and the Strehl Ratio Image Spatial Frequency Image Property of a Segmented Mirror System 81 References 84 Mirror Design For Optical Telescopes Specifications for Optical Mirror Design...' Fundamental Requirements for Optical Mirrors ( Mirror Surface Error and Mirror Support Systems Surface Error Fitting and Slope Error Expression Lightweight Primary Mirror Design Significance of Lightweight.Mirrors for Telescopes Thin Mirror Design Honeycomb Mirror Design Multi-Mirror Telescopes 109

3 x Contents Segmented Mirror Telescopes..r.. Ill Metal and Lightweight Mirrors..../ Mirror Polishing and Mirror Supporting Material Properties of Optical Mirrors Optical Mirror Polishing Vacuum Coating... ' Mirror Supporting Mechanisms ' Mirror Seeing and Stray Light Control. y Mirror Seeing Effect Stray Light Control.., 135 References, '.'.'' Telescope Structures and Control System Telescope Mounting ' 141,3.1.1 Equatorial Mounting , Altitude-Azimuth Mounting''./ Stewart Platform Mounting/ Fixed Mirror or Fixed Altitude Mountings....; Telescope Tube and Other Structure Design Specifications for Telescope Tube Design Telescope Tube Design Support Vane Design for Secondary Mirror ' Telescope Bearing Design Structural Static Analysis....' Telescope Drive and Control Specifications of a Telescope Drive System Trends in Drive System Design Encoder Systems for Telescopes Pointing Error Corrections Servo Controland Distributed Intelligence Star Guiding Structural Dynamic Analysis Wind and Earthquake Spectrums.... : Dynamic Simulation of Telescope Structures Combined Structural and Control Simulation Structure Vibration Control "...: Telescope Foundation Design 218 References Advanced Techniques for Optical Telescopes Active and Adaptive Optics Basic Principles of Active and Adaptive Optics..: Wavefront Sensors.._ Actuators, Deformable Mirrors, Phase Correctors, and Metrology Systems

4 4.1.4, Active Optics System and Phasing Sensors :..; Curvature Sensors and Tip-Tilt Devices Atmospheric Disturbance and Adaptive Optics Compensation'...'...' Artificial Laser Guide Star and Adaptive Optics, Atmosphere Tomography and Multi-Conjugate Adaptive Optics Adaptive Secondary Mirror Design Optical Interferometers Speckle Interferometer Technique Michelson Interferometer Fizeau Interferometry Intensity Interferometer 293 ' Amplitude Interferometer 300 References 305 Space Telescope Projects and their Development Orbit Environmental Conditions Orbit Definition Orbit Thermal Conditions Other Orbit Conditions Attitude Control of Space Telescopes Attitude Sensors ' Attitude Actuators... : Space Telescope Projects Hubble Space Telescope.. : James Webb Space Telescope The Space Interferometry Mission and Other Space Programs 331 References 336 Fundamentals of Radio Telescopes Brief History of Jladio Telescopes Scientific Requirements for Radio Telescopes Atmospheric Radio Windows and Site Selection Parameters of Radio Antennas Radiation Pattern , Antenna Gain Antenna Temperature and Noise Temperature Antenna Efficiency r Polarization Properties Optical Arrangement of Radio Antennas Characteristics of Offset Antennas Radio Telescope Receivers. 374 References 375 xi

5 Radio Telescope Design.. J 'Antenna Tolerance and Homologous Design Transmission Loss of Electromagnetic Waves Antenna Tolerance Theory Antenna Homology Antenna Surface Best Fitting ' Positional Tolerances of Antenna Reflector and Feed Aperture Blockage and jground Radiation f Pickup Antenna Surface Fitting Through Ray Tracing Radio Telescope Structure Design General Types of Radio Antennas Steerable Parabolic Antenna Design..' Wind Effect on Antenna Structures Active Control of Radio Telescopes Radio Interferometers Fundamentals of Radio Interferometers ' Aperture Synthesis Telescopes Weiner-Khinchin and Van Cittert-Zernike Theorems. '...;. '...' Calibration: Active Optics After Observation Very Large Array, Expanded Very Large Array, and Square Kilometer Array.' Very Long Baseline Interferometer Space Radio Interferometers 439 References Millimeter and Submillimeter Wavelength Telescopes Thermal Effects on Millimeter Wavelength Telescopes Characteristics of Millimeter Wavelength Telescopes Thermal Conditions of Open Air Antennas Heat Transfer Formulae Panel Thermal Design Backup Structure Thermal Design Structural Design of Millimeter Wavelength Antennas Panel Requirements and Manufacture Backup Structure Design Design of Chopping Secondary Mirror Sensors, Metrology, and Optical Pointing Telescopes Active Optics Used in Millimeter Antennas Antenna Lightning Protection Carbon Fiber Composite Materials Properties of Carbon Fiber Composites Thermal Deformation of Shaped.Sandwiched Structures, CFRP-Metal Joint Design. 482

6 . xiii 8.4 Holographic Measurements and Quasi-Optics Holographic Measurements of Antenna Surfaces Surface Panel Adjusting Quasi-Optics Broadband Planar Antennas 496 References Infrared, Ultraviolet, X-Ray, and Gamma Ray Telescopes Infrared Telescopes Requirements of Infrared Telescopes Structural Properties of Infrared Telescopes Balloon-Borne and Space-Based Infrared Telescopes X-Ray and Ultraviolet Telescopes : Properties of X-Ray Radiation...: X-Ray Imaging Telescopes Space X-ray Telescopes < Microarcsecond X-ray Image Mission : Space Ultraviolet Telescopes Gamma Ray Telescopes Gamma Ray Fundamentals Gamma Ray Coded Mask Telescopes Compton Scattering and Pair Telescopes Space Gamma Ray Telescopes Air Cherenkov Telescopes Extensive Air Shower Array Major Ground-Based Gamma Ray Projects 546 References Gravitational Wave, Cosmic Ray and Dark Matter Telescopes. ' Gravitational Wave Telescopes Gravitational Wave Fundamentals Resonant Gravitational Wave Telescopes Laser Interferometer Gravitational Wave Detectors Important Gravitational Wave Telescope Projects Other Gravitational Wave and Gravity Telescopes Cosmic Ray Telescopes Cosmic Ray Spectrum Cosmic Ray EAS Array Telescopes..: Cosmic Ray Fluorescence Detectors Magnetic Spectrometer Detectors Dark Matter Detectors Cold and Hot Dark Matter Detection of Neutrinos

7 xiv Contents Status of Neutrino Telescopes.: Detection of Cold Dark Matter 581 References Review of Astronomical Telescopes Introduction Electromagnetic Wave and Atmosphere Transmission Nonelectromagnetic Telescopes Ground Astronomical Telescopes :.. / Space Astronomical Telescopes Man's Space Missions Moon Missions Mercury Missions Venus Missions. : Mars Missions. ; Jupiter Missions.,../'../ Saturn, Uranus, Neptune', and Pluto Missions Asteroids and Comet Missions Reconnaissance Telescopes : x. 604 References Appendix A 607 Appendix B. 613 Index. 615

x Contents Segmented Mirror Telescopes Metal and Lightweight Mirrors Mirror Polishing

x Contents Segmented Mirror Telescopes Metal and Lightweight Mirrors Mirror Polishing Contents 1 Fundamentals of Optical Telescopes... 1 1.1 A Brief History of Optical Telescopes.................... 1 1.2 General Astronomical Requirements..................... 6 1.2.1 Angular Resolution.............................

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