Astrophysics optics Flashcards

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1
Q

what are the two types of lenses

A

Convex
Concave

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2
Q

what is a convex lens and focal length

A
  • In a convex lens, parallel rays of light are brought to a focus
  • This point is called the principal focus
  • This lens is sometimes referred to as a converging lens
  • The distance from the lens to the principal focus is called the focal length
  • This depends on how curved the lens is
  • The more curved the lens, the shorter the focal length
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3
Q

what is a concave lens

A

-In a concave lens, parallel rays of light are made to diverge (spread out) from a point
- This lens is sometimes referred to as a diverging lens
- The principal focus is now the point from which the rays appear to diverge from

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4
Q

Draw a diagram for a convex and concave lens

A
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5
Q

what are the two types of images produced by a lens

A

A real image
A virtual image

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6
Q

real image def

A

An image that is formed when the light rays from an object converge and meet each other and can be projected onto a screen

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7
Q

virtual image def

A

An image that is formed when the light rays from an object do not meet but appear to meet behind the lens and cannot be projected onto a screen

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8
Q

describe a real image

A

A real image is one produced by the convergence of light towards a focus
Real images are always inverted
Real images can be projected onto pieces of paper or screens
An example of a real image is the image formed on a cinema screen

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9
Q

describe a virtual image

A

A virtual image is formed by the divergence of light away from a point
Virtual images are always upright
Virtual images cannot be projected onto a piece of paper or a screen
An example of a virtual image is a person’s reflection in a mirror
Virtual images are where two dashed lines, or one dashed and one solid line crosses in ray diagrams

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10
Q

what colours in the electromagnetic spectrum have the longest or shortest wavelengths

A

Red has the longest wavelength (and the lowest frequency and energy)
Violet has the shortest wavelength (and the highest frequency and energy)

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11
Q
A
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12
Q

What kind of images does chromatic aberration create?

A

Images with coloured edges

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13
Q

what does it mean that telescopes magnify the angular size of distant objects.

A
  • The telescope produces an image which subtends a larger angle than the object
  • When viewed by the naked eye, the angle subtended by the object alpha is much less than the angle subtended by the image beta when viewed through a telescope
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14
Q

How does a refracting telescope work

A
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15
Q

Describe the use of angular magnification and its equation

A
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16
Q

what is the most common type of reflecting telescope

A

Cassegrain telescope

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17
Q
A
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18
Q

Equation for angular magnification relating f0,fe, beta and alpha angles

A
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19
Q

Describe how reflecting telescopes work through the law of reflection

A
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20
Q

Describe and draw a diagram of how a cassegrain telescope works

A
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21
Q

What are the two types of aberration that affect the quality of images produced by refractors and reflectors

A
  • chromatic aberration
  • spherical aberration
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22
Q

What happens in chromatic aberration (only in refracting telescopes)

A

Different wavelengths of light are refracted by different amounts causing the edges of an image to appear clouded
– this is due to the fact that blue light has a shorter wavelength and red light, meaning blue light is refracted more by a lens than red light. This is because blue light has a bigger refractive index
– consequently, different colours of water to focus at different points. For example, blue light focuses closer to the lens than red light, because of this greater rarefraction

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23
Q

Why does chromatic aberration not happen in reflecting telescopes

A

Because mirrors can only reflect, not refract

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24
Q

How can chromatic aberration be reduced using a second diverging lens

A
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25
Q

How is spherical aberration fixed

A
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26
Q

Describe how spherical aberration can be reduced/ eliminated in a refracting and reflecting telescope

A
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27
Q

What is spherical aberration

A

Spherical Aberration is an optical problem that occurs when all incoming light rays end up focusing at different points after passing through a spherical surface

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28
Q

Advantages of a refracting telescope

A
  • Refractors require less maintenance than reflectors
  • Refractors are not as sensitive to temperature changes as reflectors
29
Q

Disadvantages of a refracting telescope

A
  • It is difficult to make large-diameter glass lenses which are completely free from defects. Large magnifications require large objective lenses and very long focal lengths
  • Large-diameter lenses are heavy and tend to distort under their own weight
  • Refractors are heavy and difficult to manoeuvre so they have a slower response to astronomical events
  • Lenses can only be mounted and supported around their edges however, this is where they are thinnest and weakest, so it’s difficult to construct
  • Refractors suffer from both chromatic and spherical aberration
  • Refractors are only able to observe wavelengths of visible light (can’t see non-visible wavelengths)
30
Q

advantages of reflecting telescopes

A
  • The diameter of a mirror can be much larger than that of a lens so greater magnifications can be achieved
  • Large single mirrors can be made, which are light and easily supportable from behind
  • Reflectors are lighter which allows for a more rapid response to astronomical events
  • Mirrors only use the front surface for reflection, which eliminates many of the problems associated with lenses
  • Mirror surfaces can be made very thin (a few nm) which allows for greater image detail
  • Mirrors cannot produce chromatic aberration
  • Reflectors do not suffer from spherical aberration use if parabolic mirrors are used
  • Reflectors can be designed to observe wavelengths of light outside of the visible spectrum
  • Reflectors can be sent into space which eliminates light absorption due to the atmosphere
31
Q

Disadvantages of reflecting telescopes

A
  • The secondary mirror has the disadvantage of blocking some light from entering the primary mirror
  • The secondary mirror and its supports will cause some diffraction which can affect the clarity of the image
  • Mirrors in a reflecting telescope are exposed to air so they require regular maintenance
  • Light is refracted in the eyepiece lens and therefore some chromatic aberration may be introduced at this stage
32
Q

describe how an ‘airy disk’ is formed

A
  • A circular aperture, such as a lens in a telescope, is designed so that a cone of light can enter into a region behind it
  • This allows light to act like a point source once it passes through
  • When two point sources are placed near each other, or viewed from a large distance, they will appear to be a single unresolved source of light
    For example, two distant car headlights may initially appear as a single point source until the car moves close enough for your eyes to resolve them into two individual headlights
  • Light from any object passing through a circular aperture, including the human eye, will diffract and create interference fringes upon the detector inside
  • The pattern is circular and is an approximate pattern for a circular aperture
  • The large central maximum is called an Airy disc and is twice as wide as the further maxima in the pattern
33
Q

Draw a diagram of an airy disk

A
34
Q

Draw a diagram showing how an airy disk is formed

A
35
Q

What does the Rayleigh criterion state

A

Two sources will be resolved into two distinct objects if the central maximum of one diffraction pattern coincides with the first minimum of the other

36
Q

How can the resolution or resolving power of a telescope be increased

A
  • By reducing the amount the light diffracts, for example, by:

Increasing the diameter of the aperture
Operating at a shorter wavelength of light

37
Q

Draw the visual diffraction pattern and the graph (Intensity vs separation) of two sources that cannot be resolved

A
38
Q

Draw the visual diffraction pattern and the graph (Intensity vs separation) of two sources that can only just be resolved, as defined by the Rayleigh Criterion

A
39
Q

Draw the visual diffraction pattern and the graph (Intensity vs separation) of two sources that are clearly resolved

A
40
Q

What is the equation associated with Rayleigh’s criterion and draw a diagram for it

A
41
Q

What is the equation which gives the angle that minima in the pattern appear as

A
42
Q

Describe how Raleigh’s criterion can be written mathematically

A
43
Q

collecting power definition

A

A measure of the amount of light energy a telescope collects per second

This is equivalent to the power per unit area, or intensity of the incident radiation collected

44
Q

what does a higher collecting power create

A

brighter images

45
Q

How does collecting power and aperture link and why

A

The collecting power of a telescope is directly proportional to the square of the diameter of its aperture

This is because:
Intensity is proportional to surface area
The surface area of a circular object of diameter D is equal to fraction numerator straight pi D to the power of italic 2 over denominator 4 end fraction

46
Q

Why are larger aperture diameter telescopes better

A
  • They have a greater collecting power so images are brighter
  • They have a greater resolving power so images are clearer
47
Q

How can the collecting power of two telescopes be calculated

A
48
Q

How can the resolving power of two telescopes operating at the same wavelength be calculated

A
49
Q

What is an optical telescope

A

a telescope that detects wavelengths of light from the visible part of the electromagnetic spectrum

50
Q

What types of non-optical telescopes are there

A
  • Radio telescopes
  • Infrared (IR) telescopes
  • Ultraviolet (UV) telescopes
  • X-ray telescopes
51
Q

What is the operating wavelength range of a ground-based telescope limited by

A
  • the absorption of certain wavelengths by the Earth’s atmosphere
  • large ranges of wavelengths are partially, or completely, absorbed by our atmosphere
52
Q

What can a ground-based telescope observe

A
  • All visible wavelengths (although there is often some distortion)
  • Very narrow ranges of infrared wavelengths
  • Most microwave & radio wavelengths
53
Q

What can a space-based telescope observe

A

all wavelengths, making it possible to clearly observe:

  • Gamma rays, X-rays & ultraviolet rays
  • All infrared wavelengths (usually split into near-IR, mid-IR and far-IR)
54
Q

What are the 3 advantages to putting telescopes into space

A
  • There is no absorption of electromagnetic waves by the atmosphere
  • No light pollution or other sources of interference at ground level
  • No atmospheric effects, such as scattering or scintillation (i.e. twinkling) of light
55
Q

Compare radio and optical telescopes in terms of their structure, positioning and uses

A
56
Q

Compare radio and optical telescopes in terms of their resolving and collecting power

A
57
Q

Compare UV and optical telescopes in terms of their structure, positioning and uses

A
58
Q

Compare UV and optical telescopes in terms of their resolving and collecting power

A
59
Q

Compare X-ray, gamma and optical telescopes in terms of their structure, positioning and uses

A
60
Q

Compare X-ray, gamma and optical telescopes in terms of their resolving and collecting power

A
61
Q

What is a charge-coupled device (CDD)

A

a detector which is highly sensitive to photons, making it ideal for use in the detection system of modern telescopes

62
Q

How does a CDD Work

A
  • Incident photons cause electrons to be released
  • The number of electrons released is proportional to the intensity of the incident light
  • An image is formed on the CCD, which can be processed electronically to give a digital image
63
Q

Quantum efficiency def

A

The percentage of incident photons which cause an electron to be released

64
Q

Quantum efficiency equation

A
65
Q

Compare the quantum efficiency of a CDD and the eye

A

CCDs are renowned for achieving high values of quantum efficiency, generally upwards of 80%, whereas a human eye is only capable of achieving around 1%

66
Q

Describe the resolution of a CDD

A
  • The resolution of a CCD is related to the total number of pixels per unit area, and their size
  • The smaller the size of the pixel, the better the resolution, hence the clearer the image will be
  • In most cases, the overall resolution of a telescope is limited by the diameter of the aperture
  • Hence, the resolution of the CCD (or the eye) is not likely to make a difference to the final image observed
67
Q

What are the benefits of a CDD

A
  • The number of images captured in a time period and exposure time can be easily adjusted
  • The information stored on a CCD can be accessed remotely
  • The generated images can be stored and analysed digitally
  • They can detect a larger range of wavelengths, including beyond the visible spectrum
68
Q

Compare the properties of a CDD with those of the human eye.

A
69
Q

Is a higher or lower angular resolution better

A

A lower angular resolution is better because it means the closer the measurement points are resulting in “seeing” smaller objects.