Principles of astronomical telescope design

-- From EM wave, G wave, cosmic ray, to dark matter telescopes

 

 


Principles of astronomical telescope design

From EM wave, G wave, cosmic ray to dark matter telescopes

 

JINGQUAN CHENG

National Radio Astronomy Observatory

 


Dedication

This book is dedicated to those who provide help and encouragement in my thirty years pursuing of astronomical telescope knowledge

 


Table of Contents

Dedication                                                                                              v

Contributing Authors                                                                             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 Definition of the Strehl ratio

1.4.4 Image spatial frequency

1.4.5 Telescopes as linear spatial frequency filters

1.4.5 Wavefront error, Strehl ratio and image blur

1.4.6 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 supporting 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 mirrors and lightweight mirror materials

2.3 Mirror polishing and mirror supporting

2.3.1 Material properties for 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

3.2 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 system 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 Space telescope projects

5.2.1 Hubble Space Telescope

5.2.2 James Webb Space Telescope

5.2.3 Space Interferometry Mission and space UV-optical

Fizeau interferometer

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 telescope 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 Calibration: active optics after observation

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

7.3.5 Very Long Baseline Array

7.3.6 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 panel 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

8.4 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 Chopping technique for infrared observation

9.1.4 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 collimator telescopes

9.3.2 Compton scattering and pair telescopes

9.3.3 Air Cherenkov telescopes

9.3.4 Extensive air shower array

9.3.5 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 fundamental

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 waves

11.3 Ground astronomical telescopes

11.4 Space astronomical telescopes

References

 

 

Appendix                                                                                              25

Notes                                                                                                   27

References                                                                                           29

Index                                                                                                   31

 


Contributing Translators: Zhang Yong, Miao Xinli, Zheng Yi, Nanjing Institute of Astronominical Optics and Technology, China. Reviewers: Albert Greve, Institut de Radioastronomie Millimetrique, France; Larry Stepp, Thirty Meter Telescope project, Darrel Emerson, Clint Janes, Fred Schwab, Dick Thompson, Ken Kellermann, Bill Shillue, Jeffery Mangum, David Hogg, Geoff Ediss, National Radio Astronomy Observatory, US; John H. Bieging, Steward Observatory, US; James Lamb, Ovens Valley Radio Observatory, US; Antony Stark, Harvard-Smithsonian Center for Astrophysics, US; Ming Liang, National Optical Astronomy Observatory;  Language editors: Nick Emerson, Masha Bishop, Ellen Bouton, Tony Rodriguze, Jennifer Neighbours, Penny Ward

 


Preface of English edition

Progress in astronomy has been fueled by the construction of many modern astronomical telescopes. Today, astronomical telescopes image cosmic sources not only across the entire electromagnetic spectrum from 10-meter radio waves to 100 zeptometer () gamma rays, but also through cosmic ray, dark matter, and gravitational waves. Electromagnetic waves cover a wide range of energy density. However, the non-electromagnetic waves or particles have an even more extreme range of energies. Some of these particles have macroscopic energies almost a billion times those accelerated at Fermilab and some of these have energies so tiny  that they are almost beyond the detection limit. In fact, real searches are still underway for dark matter particles and weak gravitational radiation.

Over the last 400 years, the size, the wave or particle types, and the spectrum coverage of telescopes have also increased substantially. Only in the past 15 years, the total collecting area of optical telescopes around the world, with apertures as large as 10 meters, has more than tripled. At radio wavelengths, collecting area for a single telescopes is still dominated by  the 300 Arecibo one (roughly 70,000) although a 500 one is under construction in China and, for interferometers, by the VLA (roughly ). ALMA, presently being constructed, will have a collecting area of roughly 6000.  In gravitational wave detection, LIGO has its two very long laser interferometer arms, each 4 long. The sensitivity reached by this instrument is as low as . For cosmic ray detection, Pierre Auger Observatory has 30 fluorescence detectors, 1600 water Cherenkov detector stations, and covers 6000of earth surface. In the search for dark matter, detectors are located 1400 underground and under deep sea. Some of the detectors are working at an extremely low temperature of 20-40 millikelvins. At the same time, plans are underway to construct optical telescopes with diameters of 30 or even larger, radio telescope arrays with a square kilometer aperture area, space telescopes and interferometers with diameters up to 6.5, and extremely sensitive gravitational wave and dark matter telescopes. Larger apertures and greatly improved sensitivity mean more detecting power for fainter objects and even increasing clarity of 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 monitor rapid variation are also important figures of merit.

Adaptive optics was pioneered by radio interferometers. A resolution of 50 milliarcseconds was routinely obtained by the VLA array. Long baseline interferometry at millimeter wavelengths, using the VLBA, can achieve a thousand times better angular resolution. In optical field, advances in adaptive optics (AO), such as those being made by the Gemini or Keck telescopes, hold promise to transform the next generation of large aperture, ground-based, optical telescopes by correcting for the time dependent distortion caused by the Earth’s atmosphere. These techniques achieve impressive angular resolution, routinely better than those achieved by the Hubble Space Telescope. In addition, advances in spectroscopic methods and instrumentation have increased the scientific reach of today’s telescopes immensely by improving spectral precision, efficiency, and multiplexing capability. In non-electromagnetic wave detections, extremely low temperature, vibration isolation, adaptive compensation of interference, and SQUID quantum detectors are widely used for improving the sensitivity and accuracy. All these are pushing the technologies to their limiting boundaries.

To write a book on these exciting achievements and techniques is a challenge for anyone. The author’s intention is to introduce the basic principles and techniques applied to all these astronomical telescopes, especially those relevant new technologies, in a step-by-step manner. The readers can immediately get into these exciting fields. These relevant technologies include active and adaptive optics, artificial guide star, speckle, Michelson, Fizeau, intensity, and amplitude interferometer, aperture synthesis, holographic surface measurement, infrared signal modulation, optical truss, broadband planar antenna, stealth design, laser interferometer, Cherenkov fluorescence detector, wide field of view retro-reflector, wide field of view telescope, x-ray imaging, and many more. The theories behind these technologies involve many advanced physics fields. Therefore, they are presented in a manner tempered by practical applications, sometimes at the sacrifice of rigor. Telescope components are discussed in relevant chapters. However, these design principles may be used to telescopes in other wavelengths or in wave-particle formats. The early version of this book was started as lecture notes for postgraduate students in 1986 in Nanjing, China. The notes had a wide circulation and in 2003, a Chinese edition of this book was published. The Chinese version was welcomed by the astronomical community, especially postgraduate students, engineers, and astronomers who are interested in the different types of telescopes and instruments in China. Translation of this book from Chinese to English has taken more than four years of hard work. The book is intended to target postgraduate students, engineers, and scientists in astronomy, optics, particle physics, instruments, and other related fields. During the preparation of this book, many experts and friends provided great help both in contents and in language. Without this help, the book translation project would not have succeeded.

 

The author

Dec 2008

Preface of Chinese edition

This monograph provides a systematic discussion of principles and design of various astronomical telescopes. Astronomical telescopes, which serve as the most important tools in exploration of the universe, are complex systems. The development of astronomical telescopes reflect the highest design achievements of their times. Reflecting upon the application and influence of modern technical achievement, this book introduces all relevant new technology as various astronomical telescopes are discussed. These techniques include not only those which are specialized for astronomy, telecommunication, aerospace, remote sensing, military, high energy physics, and atmospheric sciences, but also those which are widely used in industry and other fields. Specialized techniques within these include active and adaptive optics, artificial guide star, speckle and amplitude interferometer, holographic surface measurement, infrared signal modulation, optical truss, broadband planar antenna, stealth design and more. Widely used techniques include optical mirror manufacture, mirror supporting, air and hydraulic bearings, Stewart platform, encoder, system simulation, vibration control, homologous design, laser ranger, laser lateral positioning, wide field retro-reflector, carbon fiber reinforced composite, tilt meter, accelerometer, precision surface manufacture, x-ray imaging, lightning protection, three dimensional measurement, etc. This book discusses the effect of wind, temperature, and earthquake on telescope performances. Last, but perhaps not least, the foundation requirements and design for telescopes are also covered.

The writing of this book took 16 years. The author tested multiple versions of the book to explore the best way to explain complicated electromagnetic wave theory. The first draft of the book was used as a lecture notes for postgraduate students in astronomical instruments field.  The notes expand as new information was gained through telescope design and research practice. The book includes all the author’s experience and knowledge. This book can be used not only by scientists, engineers, students of astronomy, communications, aerospace,