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The Principles of astronomical telescope design

 

JINGQUAN CHENG

National Radio Astronomy Observatory

Springer 2009

 

 

Dedication                                                                                              v

Contributing Reviewers                                                                         xv

Preface of English edition                                                                    xvii

Preface of Chinese edition                                                                       

Acknowledgments                                                                                23

 

Chapter 1 Fundamentals of Optical Telescopes

1.1 A brief history of optical telescopes

1.2 General astronomical requirements

1.2.1 Angular resolution

1.2.2 Light collecting power

1.2.3 Field-of-view and combined efficiency

1.2.4 Atmospheric windows and site selection

1.3 Fundamentals of astronomical optics

1.3.1 Optical systems for astronomical telescopes

1.3.2 Aberrations and their calculations

1.3.3 Formulas of telescope aberrations

1.3.4 Field corrector design

1.3.5 Ray tracing, spot diagram, and merit function

1.4 Modern optical theory

1.4.1 Optical transfer function

1.4.2 Wave aberrations and modulation transfer function

1.4.3 Wavefront error and the Strehl ratio

1.4.4 Image spatial frequency

1.4.5 Image property of a segmented mirror system

References

 

Chapter 2 Mirror Design of Optical Telescopes

2.1 Specifications for optical mirror design

2.1.1 Fundamental requirements for optical mirrors

2.1.2 Mirror surface error and support systems

2.1.3 Surface error fitting and slope error expression

2.2 Lightweight primary mirror design

2.2.1 Significance of lightweight mirrors for telescopes

2.2.2 Thin mirror design

2.2.3 Honeycomb mirror design

2.2.4 Multi-mirror telescopes

2.2.5 Segmented mirror telescopes

2.2.6 Metal and lightweight mirrors

2.3 Mirror polishing and mirror supporting

2.3.1 Material properties of optical mirrors

2.3.2 Optical mirror polishing

2.3.3 Vacuum coating

2.3.4 Mirror support mechanisms

2.4 Mirror seeing and stray light control

2.4.1 Mirror seeing effect

2.4.2 Stray light control

References

 

Chapter 3 Telescope Structures and Control System

3.1 Telescope mounting

3.1.1 Equatorial mounting

3.1.2 Altitude-azimuth mounting

3.1.3 Stewart platform mounting telescope

3.1.4 Fixed mirror or fixed altitude mountings

3.2 Telescope tube and other structure design

3.2.1 Specifications for telescope tube design

3.2.2 Telescope tube design

3.2.3 Support vane design for secondary mirror

3.2.4 Telescope bearing design

3.2.5 Structural static analysis

3.3 Telescope drive and control

3.3.1 Specifications of telescope drive system

3.3.2 Trends in drive system design

3.3.3 Encoder systems for telescopes

3.3.4 Pointing error corrections

3 3.5 Servo control and distributed intelligence

3 3.6 Star guiding

3.4 Structural dynamic analysis

3.4.1 Wind and earthquake spectrums

3.4.2 Dynamic simulation of telescope structures

3.4.3 Combined structural and control simulation

3.4.4 Structural vibration control

3.4.5 Telescope foundation design

References

 

Chapter 4 Advanced Techniques for Optical Telescopes

4.1 Active and adaptive optics

4.1.1 Basic principles of active and adaptive optics

4.1.2 Wavefront sensors

4.1.3 Actuators, deformable mirrors, phase correctors, and metrology system

4.1.4 Active optical system and phasing sensors

4.1.5 Curvature sensors and tip-tilt devices

4.1.6 Atmosphere disturbance and adaptive optics compensation

4.1.7 Artificial laser guide star and adaptive optics

4.1.8 Atmosphere tomography and multi-conjugate adaptive optics

4.1.9 Adaptive secondary mirror design

4.2 Optical interferometers

4.2.1 Speckle interferometer technique

4.2.2 Michelson interferometer

4.2.3 Fizeau interferometry

4.2.4 Intensity interferometry

4.2.5 Amplitude interferometer

References

 

Chapter 5 Space Telescopes and Their Development

5.1 Orbit environmental conditions

5.1.1 Orbit definition

5.1.2 Orbit thermal conditions

5.1.3 Other orbit conditions

5.2 Attitude control of space telescopes

 5.2.1 Attitude sensors

 5.2.2 Attitude actuators

5.3 Space telescope projects

5.3.1 Hubble Space Telescope

5.3.2 James Webb Space Telescope

5.3.3 Space Interferometry Mission and other space programs

References

 

Chapter 6 Fundamentals of Radio Telescopes

6.1 Brief history of radio telescopes

6.2 Scientific requirements for radio telescopes

6.3 Atmospheric radio windows and site selection

6.4 Parameters of radio antennas

6.4.1 Radiation pattern

6.4.2 Antenna gain

6.4.3 Antenna temperature and noise temperature

6.4.4 Antenna efficiency

6.4.5 Polarization properties

6.4.6 Optical arrangement of radio antennas

6.4.7 Characteristics of offset antennas

6.5 Radio telescope receivers

References

 

Chapter 7 Radio Telescope Design

7.1 Antenna tolerance and homologous design

7.1.1 Transmission loss of electromagnetic waves

7.1.2 Antenna tolerance theory

7.1.3 Antenna homology

7.1.4 Antenna surface best fitting

7.1.5 Positional tolerances of antenna reflector and feed

7.1.6 Aperture blockage and ground radiation pickup

7.2 Radio telescope structure design

7.2.1 General types of radio antennas

7.2.2 Steerable parabolic antenna design

7.2.3 Wind effect on antenna structures

7.2.4 Active control of radio telescopes

7.3 Radio interferometers

7.3.1 Fundamentals of radio interferometers

7.3.2 Aperture synthesis telescopes

7.3.3 Weiner-Khinchin and Van Cittert-Zernike theorems

7.3.4 Calibration: active optics after observation

7.3.5 Very Large Array, Expanded Very Large Array, and Square Kilometer Array

7.3.6 Very Long Baseline Array

7.3.7 Space radio interferometers

References

 

Chapter 8 Millimeter and Sub-millimeter Wavelength Telescopes

8.1 Thermal effects on millimeter wavelength telescopes

8.1.1 Characteristics of millimeter wavelength telescopes

8.1.2 Thermal conditions of open air antennas

8.1.3 Heat transfer formulae

8.1.4 Panel thermal design

8.1.5 Backup structure thermal design

8.2 Structural design of millimeter wavelength antennas

8.2.1 Panel requirements and manufacture

8.2.2 Backup structure design

8.2.3 Design of chopping secondary mirror

8.2.4 Sensors, metrology, and optical pointing telescopes

8.2.5 Active optics used in millimeter antennas

8.2.6 Antenna lightning protection

8.3 Carbon fiber composite materials

8.3.1 Properties of carbon fiber composites

8.3.2 Thermal deformation of shaped sandwiched structures

8.3.3 CFRP-metal joint design

8.4 Holographic measurements and quasi-optics

8.4.1 Holographic measurements of antenna surfaces

8.4.2 Surface panel adjusting

8.4.3 Quasi-optics

8.4.4 Broadband planar antennas

References

 

Chapter 9 Infrared, Ultra-violet, X-ray, and Gamma

Ray Telescopes

9.1 Infrared telescopes

9.1.1 Requirements of infrared telescopes

9.1.2 Structural properties of infrared telescopes

9.1.3 Balloon-borne and space based infrared telescopes

9.2 X-ray and ultra-violet telescopes

9.2.1 Properties of X-ray radiation

9.2.2 X-ray imaging telescopes

9.2.3 Space X-ray telescopes

9.2.4 Micro-Arc-second X-ray Image Mission

9.2.5 Space ultra-violet telescopes

9.3 Gamma ray telescopes

9.3.1 Gamma ray coded mask telescopes

9.3.2 Compton scattering and pair telescopes

9.3.3 Space gamma ray telescopes

9.3.4 Air Cherenkov telescopes

9.3.5 Extensive air shower array

9.3.6 Major ground based gamma ray telescopes

References

 

Chapter 10 Gravitational Wave, Cosmic Ray and

Dark Matter Telescopes

10.1 Gravitational wave telescopes

10.1.1 Gravitational wave fundamentals

10.1.2 Resonant gravitational wave telescopes

10.1.3 Laser interferometer gravitational wave detectors

10.1.4 Important gravitational wave telescope projects

10.1.5 Other gravitational wave and gravity telescopes

10.2 Cosmic ray telescopes

   10.2.1 Cosmic ray spectrum

   10.2.2 Cosmic ray EAS array telescopes

   10.2.3 Cosmic ray fluorescence detectors

   10.2.4 Magnetic spectrometer detectors

10.3 Dark matter detectors

10.3.1 Cold and hot dark matter

10.3.2 Detection of neutrinos

10.3.3 Status of neutrino telescopes

10.3.4 Detection of cold dark matter

References

 

Chapter 11 Review of Astronomical Telescopes

11.1 Electromagnetic wave and atmosphere transmission

11.2 Non-electromagnetic telescopes

11.3 Ground astronomical telescopes

11.4 Space astronomical telescopes

11.5 Man's space missions

11.6 Reconnaissance Telescopes

References

 

 

Appendix A: Abbreviations of telescope names                                         

Appendix B: Prefixes for standard units                                                    

Index                                                                                                      

 Preface of English Edition

Progress in astronomy has been fueled by the construction of many large classical and modern telescopes. Today, astronomical telescopes image celestial sources not only across the wide electromagnetic spectrum from 10 meter radio waves to 100 zeptometer () gamma rays, but also through other spectra in gravitational waves, cosmic rays, and dark matter. Electromagnetic and other waves or particles cover a very wide energy density range. Very high energy cosmic rays have energy a billion times greater than that accelerated at Fermilab and some light dark matter particles have tiny energies beyond the detection limit with the finest existing quantum devices. Now astronomical telescopes are very large, very expensive, and very sophisticated. They are colossal in size, extremely demanding in technology, and terribly high in cost. Due to the technology, scale of construction, and the desire of scientists to plumb the depths of the Universe, astronomy today epitomizes the oft-used expression “Big Science.”

Over the past 400 years, the size, the wave or particle types, and the spectral coverage of astronomical telescopes have increased substantially. Currently large optical telescopes have apertures as large as 10 meters (78 m2).  It is important to note that the total optical collecting area around the world in the past 20 years has more than tripled. At radio wavelengths, the largest collecting area of a single telescope is still dominated by the 300 Arecibo telescope (roughly 70,000 m2) although a 500-hundred-meter-diameter Aperture Spherical radio Telescope (FAST) is under construction in China. For interferometers, the Very Large Array (VLA, roughly 13,000 m2) located in New Mexico (USA) is currently dominant. By comparison, the Atacama Large Millimeter Array (ALMA), presently being constructed in northern Chile, will have a collecting area of roughly 6,000. In gravitational wave detection, the Laser Interferometer Gravitational wave Observatory (LIGO) has two very long laser interferometer arms, each 4  long (much longer if multi-reflection is taken into account). The sensitivity acquired by this instrument is as low as . For cosmic ray detection, the Pierre Auger Observatory has 30 fluorescence detectors and 1,600 water Cherenkov detecting stations over a surface area of 6,000on earth. In the search for dark matter particles, thousands of detectors are located between 1,400 m and 2,400 m underground at the South Pole. Detectors are also located at other underground or underwater locations all over the world. Some of these detectors are working at extremely low temperatures of 20-40 millikelvins.

At the current time, plans are underway to construct optical telescopes with apertures up to 42 , radio telescope arrays up to a square kilometer aperture area, and space telescopes of diameters up to 6.5 . Extremely sensitive gravitational wave detectors, large cosmic ray telescopes, and the most sensitive dark matter telescopes are also under construction. Larger aperture area, lower detector temperature, and sophisticated technology greatly improve the sensitivity of telescopes. This means more detecting power for fainter and far away objects and increasing clarity of star images. However, it is not just the size and accuracy of a telescope that matters; the gain in efficiency that results from performing many functions simultaneously and the ability to measure spectra and to monitor rapid variation are also important figures of merit.

Interferometry was pioneered by radio interferometers. A resolution of 50 milliarcseconds was routinely obtained by the VLA. Long baseline interferometry at millimeter wavelengths, using the Very Long Baseline Array (VLBA), can achieve a thousand times better angular resolution than that of the VLA. In the optical field, an important breakthrough has been achieved in optical interferometers. Another important achievement is the development of active and adaptive optics (AO).  Active and adaptive optics holds promise to transform a whole new generation of optical telescopes which have large aperture size as well as diffraction limited image capability, improving the angular resolution of  ground based telescopes. In non-electromagnetic wave detections, extremely low temperature, vibration isolation, adaptive compensation for interference, superconductor transition edge sensors, and SQUID quantum detectors are widely used for improving instrument sensitivity and accuracy. All of these improvements are pushing technologies in many fields to their limiting boundaries. In general, modern telescope projects are extremely different from any other comparable commercial projects as they heavily involve extensive scientific research and  state-of the-art innovative technical development.

To write a book on these exciting and multi-field telescope techniques is a real challenge. The author’s intention is to introduce the basic principles, essential theories, and fundamental techniques related to different astronomical telescopes in a step-by-step manner. From the book, the reader can immediately get into the frontier of these exciting fields. The book pays particular attention to relevant technologies such as: active and adaptive optics; artificial guide star; speckle, Michelson, Fizeau, intensity, and amplitude interferometers; aperture synthesis; holographic surface measurement; infrared signal modulation; optical truss; broadband planar antenna; stealth surface design; laser interferometer; Cherenkov fluorescence detector; wide field of view retro-reflector; wavefront, curvature, and phasing sensors; x-ray and gamma ray imaging; actuators; metrology system; and many more. The principles behind these technologies are also presented in a manner tempered by practical applications. Important telescope component design is also discussed in relevant chapters. Because many component design principles can be applied to a particular telescope design, readers should reference all relevant chapters and sections when a telescope design project is undertaken.

The early version of this book started as lecture notes for postgraduate students in 1986 in Nanjing, China. The notes had a wide circulation among the postgraduate students. In 2003, the Chinese version of this book was published. The book was well received by the Chinese astronomical community, especially by postgraduate students. With a wide circulation of the Chinese version, requests were received from English speaking students for an English language version. The translation of this book started in 2005. The basic arrangement of the book remains unchanged. The book is intended to target postgraduate students, engineers, and scientists in astronomy, optics, particle physics, instrumentation, space science, and other related fields. The book provides explanations of instruments, how they are designed, and what the restrictions are. This book is intended to form a bridge between the telescope practical engineering and the most advanced physics theories. During the translation of this English version, many experts and friends provided great help both with technical contents and the English language. Among these reviewers, Dr. Albert Greve of IRAM reviewed all chapters of this book. In the language aspect, Ms. Penelope Ward patiently reviewed the entire book. Without this help, the book translation project would not have succeeded.

 

 

 

The author

December, 2008