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
|
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|
JINGQUAN CHENG |
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National Radio
Astronomy Observatory |
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
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 6000
of 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,