2012:15thSESSION of ESMP...European School of Medical Physics -Archamps 11 The place of ultrasound...

180
Lecture presented in Archamps (Salève Building) by : 2012 :15th SESSION of ESMP Jean-Martial MARI (INSERM Lyon)

Transcript of 2012:15thSESSION of ESMP...European School of Medical Physics -Archamps 11 The place of ultrasound...

  • Lecture presented in Archamps (Salève Building) by :

    2012 :15th SESSION of ESMP

    Jean-Martial MARI (INSERM Lyon)

  • European School of Medical Physics - Archamps1

    Ultrasound sessionUltrasound Basic Principles

    Jean Martial Mari

    Christian Cachard

    TransducerHervé Liebgott Ultrasonic Doppler Mode

    Piero Tortoli

    Quality assurance of US equipment

    Jean Martial Mari

    40 years of medical ultrasoundNico de Jong

  • European School of Medical Physics - Archamps2

    Ultrasound sessionSpecific applications

    Contrast AgentNico de Jong

    Post Image Processing

    Hervé Liebgott

    IntraVascular UltraSoundNico de Jong

    Ultrasound ElastographyJean Martial Mari

    Therapeutic Ultrasound Jean Martial Mari

  • European School of Medical Physics - Archamps3

    Ultrasound session

    TherapeuticJean Martial Mari

    Diagnosis

    Low intensity

    High intensityEuropean School of Medical Physics - Archamps

  • European School of Medical Physics - Archamps4

    Basic Principles of

    Ultrasound

    Basic Principles of

    Ultrasound

    Christian CACHARDChristian.cachard@creatis;univ-lyon1.fr

    CREATIS

    Université Lyon 1

    European School for Medical Physics 2012

    Teresa RobinsonConsultant Clinical Scientist

    Head of the Vascular Studies Unit, United Bristol Healthcare NHS Trust

    Jean Martial [email protected]

    INSERM Lyon

  • European School of Medical Physics - Archamps5

    Basic principles of ultrasound

    1: Overview and history

    2: Sound waves

    3: Ultrasound generation

    4: Ultrasound in tissue

  • European School of Medical Physics - Archamps6

    1

    2

    3

    4

    5

  • European School of Medical Physics - Archamps7

    Ultrasound scanning

    Scanner

    Probe

  • European School of Medical Physics - Archamps8

  • European School of Medical Physics - Archamps9

    The place of ultrasound in medical imaging

    – 4 IRM

    – 8 scanners

    – 10 angiographic

    – 10 PET

    – One hundred ultrasound scanners

    Public Hospitals in Lyon (2000)

    Speci

    fic ro

    oms

  • European School of Medical Physics - Archamps10

    The place of ultrasound in medical imaging• real time imaging

    IN L

    IVE

  • European School of Medical Physics - Archamps11

    The place of ultrasound in medical imaging

    • Ultrasound has the last ten years been the fastest growing

    imaging modality for non-invasive medical diagnosis.

    • Of all the various kinds of diagnostic produced in the world,

    one of four is an ultrasound scan.

    • Reasons for this are the ability to image soft tissue and blood

    flow

    – the real time imaging capabilities,

    – the harmlessness for the patient and the physician (no radiation)

    – the low cost of the equipment.

    – no special building requirements as for X-ray, Nuclear, and Magnetic

    Resonance imaging.

    • Limitations are that ultrasound imaging cannot be done

    through bone or air (limitations on chest imaging).

  • European School of Medical Physics - Archamps12

    Diagnostic Ultrasound

    Echoes

    return

    Processed into

    picture

    Pictures

    analysed

    Sound waves

    directed into

    patient

  • European School of Medical Physics - Archamps13

    Mechanical wave

    Sound is a mechanical wave

    �Created by a vibrating object

    �Propagated through a medium

    Vacuum chamber

  • European School of Medical Physics - Archamps14

    The acoustic pressure

    Sound is a pressure wave

    The acoustic pressure is the change of pressure around the static

    (ambient) pressure

    Acoustic pressure

    amplitude

    t

    p (Pa)

    105 Ambient pressure

    • Ultrasound energy is exactly like sound

    energy, it is a variation in the pressure

    within a medium.

  • European School of Medical Physics - Archamps15

    • Ultrasound scanner work as sonar

    • Probe ⇔⇔⇔⇔ Microphone + Loudspeaker

  • European School of Medical Physics - Archamps16

    Ultrasound

    Frequency of Sound

    20 Hz

    20 000 000 Hz

    2 000 000 Hz

    20 000 HzAudible Sound

    Diagnostic Medical

    Ultrasound

    Infrasound20 Hz

    20 MHz

    2 MHz

    20 kHz

  • European School of Medical Physics - Archamps17

    target

    2

    tcd

    ⋅=

    d = ?

    c= 1500 m/s

    Timetf = 100 µs

    Depth

    or time

    d = ?

    d = 7. 5 cm

    Transducer or probe

  • European School of Medical Physics - Archamps18

    target

    2

    tcd

    ⋅=

    d

    c= 1500 m/s

    Time

    0.75 cm < depth < 15 cm

    10 µs < tf: time of flight < 200 µs

    tf

  • European School of Medical Physics - Archamps19

    Reflection and transmission

    One transmitted pulse gives rise to a train of received echoes. Time

    ⇓⇓⇓⇓Depth

    We can calculate where the echoes have come from by timing how long they take to get back.

  • European School of Medical Physics - Archamps20

    64 to 512

    Transducer elements

  • European School of Medical Physics - Archamps21

    Depth /

    timeWidth

    Amplitude

  • European School of Medical Physics - Archamps22

    Depth /

    time

    0.75 cm < depth < 15 cm

    10 µs < time of flight < 200 µs

    TPRF PRF: Pulse Repetition Frequency

    TPRF >> maximum time of flight

    PRF = 1/ TPRF

  • European School of Medical Physics - Archamps23

    Echoes from ONE pulse

    The echo

    amplitudes are

    converted to shades of grey

    A-Mode

    (amplitude)

    B-Mode

    (brightness)

    Amplitude

  • European School of Medical Physics - Archamps24

    Transducer

    One

    Frame

    One

    Frame

  • European School of Medical Physics - Archamps25

    Visible scan

    lines (48)

    Visible scan

    lines (48)

    1970’

  • European School of Medical Physics - Archamps26

    Thyroid mass

    B (Brightness) Mode Images

    Ovarian Cyst

    Popliteal artery

    Gall bladder & stone

  • European School of Medical Physics - Archamps27

    Popliteal artery Gall bladder & stone

    Linear probe Sectorial probe

  • European School of Medical Physics - Archamps28

  • European School of Medical Physics - Archamps29

    • B-mode

    � M-mode

    (or TM mode,

    Time Motion)

    time

    t

    1

    t

    2

    t

    3

  • European School of Medical Physics - Archamps30

    Imaging modes

    mode A

    mode TMmode B

    Signal enveloppe

    Time (s)

    Scan plane

    Distance (cm)

    Dep

    th (cm

    )

    Dep

    th (cm

    )

  • European School of Medical Physics - Archamps31

    Doppler

    Spectral Doppler

    ““““Ultrasonic Ultrasonic Ultrasonic Ultrasonic Doppler ModesDoppler ModesDoppler ModesDoppler Modes””””

    Piero TortoliPiero TortoliPiero TortoliPiero Tortoli

    ““““Ultrasonic Ultrasonic Ultrasonic Ultrasonic Doppler ModesDoppler ModesDoppler ModesDoppler Modes””””

    Piero TortoliPiero TortoliPiero TortoliPiero Tortoli

    Colour Doppler

  • European School of Medical Physics - Archamps32

    History of Ultrasound

    • 1794 Lazzaro Spallanzani discovered high frequency ‘ultra’sound by demonstrating ability of bats to navigate by echo reflection

    • 1876 Francis Galton invented a whistle that generated sound above the limit of human hearing

    • 1880 Pierre Currie discovered the piezo-electric effect in certain crystals.

    It was then possible for the generation

    and reception of ultrasound

    It was then possible for the generation

    and reception of ultrasound

  • European School of Medical Physics - Archamps33

    ““““Medical Medical Medical Medical Ultrasound Ultrasound Ultrasound Ultrasound

    Development over Development over Development over Development over 40 years40 years40 years40 years””””

    Nico de JongNico de JongNico de JongNico de Jong

    ““““Medical Medical Medical Medical Ultrasound Ultrasound Ultrasound Ultrasound

    Development over Development over Development over Development over 40 years40 years40 years40 years””””

    Nico de JongNico de JongNico de JongNico de Jong

  • European School of Medical Physics - Archamps34

    Intravascular Imaging

    ““““Intravascular Intravascular Intravascular Intravascular ImagingImagingImagingImaging””””Nico de JongNico de JongNico de JongNico de Jong

    ““““Intravascular Intravascular Intravascular Intravascular ImagingImagingImagingImaging””””Nico de JongNico de JongNico de JongNico de Jong

  • European School of Medical Physics - Archamps35

  • European School of Medical Physics - Archamps36

    Basic Principles of Ultrasound

    1: Overview & History

    2: Sound Waves

    3: Ultrasound generation

    4: Ultrasound in Tissue

  • European School of Medical Physics - Archamps37

    Waves

  • European School of Medical Physics - Archamps38

    Wave Motion

    Up and down

  • European School of Medical Physics - Archamps39

    Wave Motion

    Stadium wave

    Transverse wave

  • European School of Medical Physics - Archamps40

    Transverse Wave

  • European School of Medical Physics - Archamps41

    Longitudinal Wave

  • European School of Medical Physics - Archamps42

    Elastic deformable

    medium – gas, liquid

    or solid.

    Elastic deformable

    medium – gas, liquid

    or solid.

    Molecules do not travel from one

    end of the medium to the other.

    No flow of particles

    Molecules do not travel from one

    end of the medium to the other.

    No flow of particles

    Pressure amplitude

    Depth

    rare

    fact

    ion

    com

    pre

    ssio

    n

    wave velocity c

  • European School of Medical Physics - Archamps43

    At each spatial position , the material points are oscillating around their

    equilibrium position (particle velocity v)

    Molecules do not travel from one end of the medium to the other.

    At each spatial position , the material points are oscillating around their

    equilibrium position (particle velocity v)

    Molecules do not travel from one end of the medium to the other.

    Depth

    wave velocity c

  • European School of Medical Physics - Archamps44

    The Nature of a Sound Wave

    • Sound is a mechanical wave

    – Created by a vibrating object

    – Propagated through a medium

    • Sound is a longitudinal wave

    – Motion of particles is in a direction parallel to direction

    of energy transport

    • Sound is a pressure wave

    – Consists of repeating pattern of high and low pressure

    regions

  • European School of Medical Physics - Archamps45

    The Frequency of a wave

    T = 1 / fT = 1 / f

    Peak excess pressure

    =

    amplitude (A) of wave

    Peak excess pressure

    =

    amplitude (A) of wave

    ( )ftAA π2sin0=

    Wave equation

  • European School of Medical Physics - Archamps46

    Wavelength, λλλλ = c T = c / fWavelength, λλλλ = c T = c / f

    Wavelength, λ

    Time

    Period,

    T=1/f Depends on sourceDepends on source

    Depends on speed of sound, c

    (depends on material)

    Depends on speed of sound, c

    (depends on material)

    Wavelength and Frequency

    Distance

    Pressure rare

    fact

    ion

    com

    pre

    ssio

    n

  • European School of Medical Physics - Archamps47

    Air c=330m/s

    Water c=1480m/s

    If source= 3 MHz λλλλ=1480/ 3 .106= 493 µm

    European School of Medical Physics - Archamps

  • European School of Medical Physics - Archamps48

    Ultrasound Pulse

    • The majority of ultrasound is emitted as pulses

    Pressure

    Time

    Length of pulse is about 3 to 5 period

    F = 3 MHz

    1 µs < Tp < 1.66 µs

  • European School of Medical Physics - Archamps49

    t . c

    2d =

    Range Equation

    • It is possible to predict the

    distance (d) of a reflecting

    surface from the transducer

    if the time (t) between

    transmission & reception of

    the pulse is measured and the

    velocity (c) of the ultrasound

    along the path is known

    d

    c

    t

    Pulse Echo

  • European School of Medical Physics - Archamps50

    Intensity

    The intensity associated with the wave is

    defined as the power flowing through a

    unit area (measured in W/m2 or mW/cm2 )Power

    1m

    1m

    Ii (t,r)p (t,r)2

    =cρ

    • Time averaged intensity (I) for a sinusoidal wave (where

    Po is the peak-pressure amplitude)

    c

    PI

    ρ2

    2

    0=

  • European School of Medical Physics - Archamps51

    pression

    intensité

  • European School of Medical Physics - Archamps52

    Intensity

    time

    Intensity

    Isptp (Temporal

    Peak)

    Isppa (Pulse

    Average)

    Ispta (Temporal

    Average)

    PRFsppa

    spta

    TI

    I ττττ=

    TPRFτ

    ≈ 1/200

  • European School of Medical Physics - Archamps53

    Isptp

    Ispta

    Isppa

    True time axis

  • European School of Medical Physics - Archamps54

    Basic Principles of Ultrasound

    1: Overview & History

    2: Sound Waves

    3: Ultrasound Generation

    4: Ultrasound in Tissue

  • European School of Medical Physics - Archamps55

    Sources of Sound Waves

    Sound production

    requires a

    vibrating object

    Vocal chords

    Audio speaker system Collision!

    Piezoelectric Element

  • European School of Medical Physics - Archamps56

    Ultrasound Generatiom

    Pierre & Jacques Currie

    Piezoelectric Piezoelectric

    effect discovered effect discovered

    in 1880in 1880 Quartz

    +

    -Expansion

    +

    -Contraction

  • European School of Medical Physics - Archamps57

    Ultrasound Detection

    • Apply force to

    piezoelectric material

    • Result is electrical

    charge proportional to

    force

    • The frequency of the

    force applied will effect

    the frequency with

    which a voltage is

    generated

    Force

    Force

  • European School of Medical Physics - Archamps58

    Piezoelectric materials

    • Quartz is a naturally occurring piezoelectric

    material.

    • Lead Zirconate Titanate (PZT) is the

    synthetic ceramic material traditionally used

    for transducers.

    – Can be customised according to the specialist

    properties required.

  • European School of Medical Physics - Archamps59

    Transducer

    • …any device that transforms one kind of

    energy into another

    – E.g. electrical to mechanical

  • European School of Medical Physics - Archamps60

    • The information obtained from ultrasound

    scanning depends in large part on the beam

    characteristics, which in turn are governed

    by transducer design.

  • European School of Medical Physics - Archamps61

    ““““Ultrasound Ultrasound Ultrasound Ultrasound transducerstransducerstransducerstransducers””””Franco BertoraFranco BertoraFranco BertoraFranco Bertora

    ““““Ultrasound Ultrasound Ultrasound Ultrasound transducerstransducerstransducerstransducers””””Franco BertoraFranco BertoraFranco BertoraFranco Bertora

  • European School of Medical Physics - Archamps62

    Beam Shape

  • European School of Medical Physics - Archamps63

    Beam Shape

    w

    λ

    W>>λ

    w

    λ

    W

  • European School of Medical Physics - Archamps64

    Constructive

    and destructive

    interference, in

    accordance with

    Huygens’

    principle

  • European School of Medical Physics - Archamps65

    Plane Disc Source

    Near Field Far Field

    Non-uniform

    beam

    Non-uniform

    beamUniform

    beam

    Uniform

    beam

  • European School of Medical Physics - Archamps66

    Ultrasound beam from a plane disc

    source

    Continuous beam, single frequencyContinuous beam, single frequency

  • European School of Medical Physics - Archamps67

    Intensity Variation

    Intensity

    Distance from probe

    Near field Far field

    Intensity varies

    in space and

    time

    Intensity varies

    in space and

    time

  • European School of Medical Physics - Archamps68

    Intensity

    Distance from probe,z

    ( )[ ]zzrI

    I z −+=2/1222

    0

    sinλ

    π

    )12(4

    )12(4 222

    max+

    +−=

    m

    mrZ

    λ

    λ

    λ

    λ

    n

    nrZ

    2

    222

    min

    −=

    λ

    2

    max'r

    Z =

    Solve a 3D

    geometrical

    problem

    Near

    Field

    length

  • European School of Medical Physics - Archamps69

    Component elements

    PZT

    Lens

    Matching

    LayerBacking

    Layer

    Electrodes

  • European School of Medical Physics - Archamps70

    Lens

    • A narrow ultrasound beam is desirable to

    allow closely spaced targets to be resolved.

    • Improvement to the beam can be made by

    focussing

    • An acoustic lens attached to the face of a

    flat surface produces a curved wavefront by

    refractions at its outer surface.

  • European School of Medical Physics - Archamps71

  • European School of Medical Physics - Archamps72

    Multi-Element Linear Array

    Elements can be excited

    individually or in groups

    Elements can be excited

    individually or in groups

    Scan lines

  • European School of Medical Physics - Archamps73

    Different shapes & sizes

  • European School of Medical Physics - Archamps74

    Electronic Beam Steering

  • European School of Medical Physics - Archamps75

    • Spatial Resolution

    • Temporal Resolution

    • Contrast Resolution

    Imaging Resolution

  • European School of Medical Physics - Archamps76

    Spatial Resolution

    Spatial (in space)

    • axial (along the beam)

    • lateral (across the beam)

    – azimuth (in the scan

    plane)

    – elevation or slice

    thickness (perpendicular

    to the scan plane)

  • European School of Medical Physics - Archamps77

    Axial Resolution

  • European School of Medical Physics - Archamps78

    Axial Resolution

    • The minimum

    reflector spacing

    along the axis of the

    ultrasound beam that

    results in separate,

    distinguishable echoes

    on the display.

  • European School of Medical Physics - Archamps79

    Axial Resolution

    • Example 3MHz

    transducer

    • Example 10MHz

    transducer

    mmHz

    sm

    f

    c5.0

    000,000,3

    /1540===λ

    mmHz

    sm

    f

    c15.0

    000,000,10

    /1540===λ

    Pulse length =number of cycles x λPulse length =number of cycles x λ

    ra =3 x 0.5 = 1.5 mm

    ra =3 x 0.15 = 0.45 mm

  • European School of Medical Physics - Archamps80

    Lateral Resolution

  • European School of Medical Physics - Archamps81

    Lateral Resolution

    • The ability to

    distinguish two closely

    spaced reflectors that

    are positioned

    perpendicular to the

    axis of the ultrasound

    beam.

  • European School of Medical Physics - Archamps82

    Elevational Resolution

    (slice thickness)

    • Works in a direction

    perpendicular to the

    image plane.

    • Dictates the thickness

    of the section of tissue

    that contributes to

    echoes visualised on

    the image.

  • European School of Medical Physics - Archamps83

    Slice Thickness Resolution

  • European School of Medical Physics - Archamps84

    Temporal Resolution

    • The time interval between pulses

    – limits the temporal resolution

    – it is usually set so that there is sufficient time

    for the most distant echo to return to the

    transducer before the next pulse is launched

  • European School of Medical Physics - Archamps85

    Temporal Resolution

    pulse

    Interval to

    allow echoes

    to return

    Sequence of pulses from

    transducer

    Typical PRF = 5kHz

    TPRF = 0.2 ms

    Typical PRF = 5kHz

    TPRF = 0.2 ms

    Time

  • European School of Medical Physics - Archamps86

    Contrast Resolution

    The ability to display regions of differing echo size

    Low

    High

  • European School of Medical Physics - Archamps87

    Basic Principles of Ultrasound

    1: Overview & History

    2: Sound Waves

    3: Ultrasound Generation

    4: Ultrasound in Tissue

  • European School of Medical Physics - Archamps88

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps89

    Matter

    • It is helpful, for ultrasound purposes, to

    imagine that matter is composed of

    – tiny particles

    – joined together by springs

  • European School of Medical Physics - Archamps90

    Matter

  • European School of Medical Physics - Archamps91

    Properties

    • Stiffness of substance K (bulk modulus)

    – strength of the spring

    • Density of substance ρ

    – mass & separation of particles

  • European School of Medical Physics - Archamps92

    Movements

    • Each particle is connected to each of its

    neighboring particles by ‘springs’

    • A single movement of ONE particle will

    move all the others

    • Repetitive movements will move all the

    others repetitively - but after a time delay

  • European School of Medical Physics - Archamps93

    0 u

  • European School of Medical Physics - Archamps94

    0 udu

    vdu

    =dt

    particle velocity

  • European School of Medical Physics - Archamps95

    0 u

  • European School of Medical Physics - Archamps96

  • European School of Medical Physics - Archamps97

  • European School of Medical Physics - Archamps98

  • European School of Medical Physics - Archamps99

  • European School of Medical Physics - Archamps100

  • European School of Medical Physics - Archamps101

  • European School of Medical Physics - Archamps102

  • European School of Medical Physics - Archamps103

  • European School of Medical Physics - Archamps104

  • European School of Medical Physics - Archamps105

  • European School of Medical Physics - Archamps106

  • European School of Medical Physics - Archamps107

  • European School of Medical Physics - Archamps108

    x

  • European School of Medical Physics - Archamps109

    Speed of Sound

    • Low density and high stiffness

    high speed of sound

    • High density and low stiffness

    low speed of sound

  • European School of Medical Physics - Archamps110

    Mathematically…

    ρ

    kc =

    Bulk modulus

    Density

  • European School of Medical Physics - Archamps111

  • European School of Medical Physics - Archamps112

    Speed of Sound

    • Air 330m/s

    • Water 1480m/s

    • Fat 1460m/s

    • Blood 1560m/s

    • Muscle 1600m/s

    • Bone 4060m/s

    Average soft

    tissue value =

    1540m/s

    This can lead to small errors in the estimated distance travelled because of the

    variation in the speed of sound in different tissues.

    This can lead to small errors in the estimated distance travelled because of the

    variation in the speed of sound in different tissues.

    Programme the

    ultrasound

    machine with...

  • European School of Medical Physics - Archamps113

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps114

    Reflection at Boundaries

    Incident

    wave

    Transmitted wave

    Reflected

    wave

    • At the boundary

    between tissues

    ultrasound is partially

    reflected

    • The relative proportions

    of the energy reflected

    and transmitted depend

    on the acoustic

    impedance between the

    two materials

  • European School of Medical Physics - Archamps115

    Acoustic Impedance

    Small masses

    Weak springs

    Low impedance

  • European School of Medical Physics - Archamps116

    Large masses

    Strong springs

    High impedance

    Acoustic Impedance

  • European School of Medical Physics - Archamps117

    Mathematically

    Bulk modulusDensity x

    kz ρ=

  • European School of Medical Physics - Archamps118

    The Proof…

    • Acoustic Impedance

    analogous to electrical

    resistance.

    • So using Ohm’s lawP = local pressure

    v = local particle velocity v

    Pz =

  • European School of Medical Physics - Archamps119

    Similar Values

    Acoustic Impedance

    • Air 0.0004 x 106 rayls

    • Lung 0.18 x 106

    • Fat 1.34 x 106

    • Water 1.48 x 106

    • Blood 1.65 x 106

    • Muscle 1.71 x 106

    • Skull Bone 7.80 x 106

  • European School of Medical Physics - Archamps120

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps121

    Reflection

    Z1

    Z2

    Pi , vi

    Pt , vt

    Pr , vrReplace v with P/z

    112 z

    P

    z

    P

    z

    P rit −=

    rit

    rit

    vvv

    PPP

    −=

    +=

  • European School of Medical Physics - Archamps122

    112 z

    P

    z

    P

    z

    P rit −=

    ririt PPPz

    zP

    z

    zP +=−=

    1

    2

    1

    2

    riri PzPzPzPz 1122 +=−

    rrii PzPzPzPz 2112 +=−

    ( ) ( )2112 zzPzzP ri +=−

    12

    12

    zz

    zz

    P

    P

    i

    r

    +

    −= Reflection

    Coefficient

  • European School of Medical Physics - Archamps123

  • European School of Medical Physics - Archamps124

    Blood Fat

    Z1=1.65 Z2= 1.34

    10.034.165.1

    34.165.1=

    +

    −==

    i

    r

    P

    PR

    10% reflected 90% transmitted

  • European School of Medical Physics - Archamps125

    64.071.18.7

    71.18.7=

    +

    −==

    i

    r

    P

    PR

    Muscle Bone

    Z1=1.71 Z2= 7.8

    64% reflected 36% transmitted

  • European School of Medical Physics - Archamps126

    Calcification

  • European School of Medical Physics - Archamps127

    999.034.10004.0

    34.10004.0−=

    +

    −==

    i

    r

    P

    PR

    Fat Air

    Z1=1.34 Z2= 0.0004

    99.9% reflected 0.01% transmitted

  • European School of Medical Physics - Archamps128

    Bowel Gas

  • European School of Medical Physics - Archamps129

    Strong

    Reflection

    Weak

    Reflection

    Very weak

    Reflection

  • European School of Medical Physics - Archamps130

    Reflection

    • Specular reflection

    – from large flat boundaries

    • Diffuse reflection

    – from small structures

    • Rayleigh Scattering

    – from very small structures

    StrongStrong

    WeakWeak

    Very weakVery weak

  • European School of Medical Physics - Archamps131

    Non-perpendicular

    Incidence

    Specular Reflection

    θθθθi = θθθθr

    Perpendicular

    Incidence

    Reflected

    beam

    travels off

    at an angle

    Strong orientation dependenceStrong orientation dependence

  • European School of Medical Physics - Archamps132

    Diffuse Reflection

    Reflected waves

    travel in various

    directions away

    from the interface

  • European School of Medical Physics - Archamps133

    Diffuse Reflection

    Reflected waves

    travel in various

    directions away

    from the interface

    Some orientation dependenceSome orientation dependence

  • European School of Medical Physics - Archamps134

    Rayleigh Scattering

    Particles size

  • European School of Medical Physics - Archamps135

    Rayleigh Scattering

    Particles size

  • European School of Medical Physics - Archamps136

    Echo Amplitude - Beware!

    The amplitude of the echoes (image grey level)

    does not have a simple relationship with the tissue (unlike X-ray CT [Hounsfield numbers]).

    • Echo size depends on

    – relative acoustic impedances across boundary

    – shape and orientation of boundary

    – size of structure compared with λ

  • European School of Medical Physics - Archamps137

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps138

    Refraction

    θt

    θi

    • At boundaries between

    tissues with different

    velocities i.e. c1≠c2• The beam direction is

    changed (if it is not

    incident normally to the

    boundary) i.e. θi≠ θ t• Beam distortion leads to

    misregistration

    • A problem with fat and

    muscle

    C1

    C2

  • European School of Medical Physics - Archamps139

    Snell’s Law

    θt

    θi

    C1

    C2

    2

    1

    sin

    sin

    c

    c

    t

    i =θ

    θ

  • European School of Medical Physics - Archamps140

    Refraction - Snell’s Law

    C1=1600m/s

    θt

    60o

    Fat

    C2=1460m/s

    E.g. Muscle to fat with an angle

    of incidence of 60o

    o

    t

    t

    52

    1460

    1600

    sin

    60sin

    =

    =

    θ

    θMuscle

    i.e 8 degrees

    difference

    i.e 8 degrees

    difference

  • European School of Medical Physics - Archamps141

    Image Degradation

    Real path

    Real target

    Path as assumed by

    machine

    Displayed image

  • European School of Medical Physics - Archamps142

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps143

    Attenuation

    The energy of the ultrasound beam is reduced with distance

    Energy is lost from the beam by:

    Absorption (conversion into heat)

    Scattering (reflection out of beam confines,

    refraction, divergence)

  • European School of Medical Physics - Archamps144

    Attenuation in an image

    Bright

    deep to

    the cyst

    Dark

    deep to

    the defect

    in the

    phantom!

  • European School of Medical Physics - Archamps145

    Attenuation Coefficient

    The intensity, Iz, of an ultrasound beam is related

    to distance from the source, z, thus:

    Where I0 is the intensity at z = 0, the transducer face.

    Iz

    z

    z

    z eIIα−= 0

  • European School of Medical Physics - Archamps146

    Attenuation Coefficient

    Attenuation is approximately exponential,

    the slope of the logarithmic graph is constant.

    Attenuation coefficient is quoted in dB/cm

    In addition, for soft tissue,

    attenuation is proportional to frequency.

    The attenuation coefficient for soft tissue is

    0.5 - 0.7 dB/cm/MHz

    The attenuation coefficient for soft tissue is

    0.5 - 0.7 dB/cm/MHz

  • European School of Medical Physics - Archamps147

    Attenuation - compensation

    Average echo

    Amplification

    factor

    Echo train

    after compensation

    Time

    (distance)

  • European School of Medical Physics - Archamps148

    depth

    gain

  • European School of Medical Physics - Archamps149

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps150

    Non-Linear Propagation

    Under conditions of relatively high pressure amplitude

    the speed of sound is NOT CONSTANT

    but varies over the propagation path (z)

    )(2

    1)( 0 zvA

    Bczc ÷

    ++=

    c

    pv

    ρ =

  • European School of Medical Physics - Archamps151

    Non-Linear Propagation

    )(2

    1)( 0 zvA

    Bczc ÷

    ++=

    Material B/A

    water (30°C) 5.2

    blood 6.3

    liver 7.6

    spleen 7.8

    fat 11.1

  • European School of Medical Physics - Archamps152

    High pressure High pressure

    Low pressure Low pressure

  • European School of Medical Physics - Archamps153

    After a sufficient distance, the faster

    moving high-pressure parts of the wave

    catch up to the slower low-pressure parts.

    The result is a

    sawtooth wave

    The distorted wave has many harmonic frequencies

    Higher

    speed

    Higher

    speed

    Lower

    speed

    Lower

    speed

  • European School of Medical Physics - Archamps154

    Higher

    speed

    Higher

    speed

    Lower

    speed

    Lower

    speed

  • European School of Medical Physics - Archamps155

    Propagation non linéaire

  • European School of Medical Physics - Archamps156

    Harmonics

    f0

    Fundamental

    2f0

    2nd

    3rd

    3f0

    Frequency

    Amplitude

  • European School of Medical Physics - Archamps157

    Harmonic Imaging

    A relatively recent innovation in

    diagnostic ultrasound imaging is

    Tissue Harmonic Imaging

    Discovered by accident it uses the

    effects of non-linear propagation.

  • European School of Medical Physics - Archamps158

    ““““Contrast agents Contrast agents Contrast agents Contrast agents in USin USin USin US””””

    Ayache BouakazAyache BouakazAyache BouakazAyache Bouakaz

    ““““Contrast agents Contrast agents Contrast agents Contrast agents in USin USin USin US””””

    Ayache BouakazAyache BouakazAyache BouakazAyache Bouakaz

  • European School of Medical Physics - Archamps159

    • Native harmonic frequencies are used to

    improve images

    • How?

    – By tuning the receiver to the harmonic frequency (2Fo)

    rather than the transmitted frequency Fo

    • Benefits

    – Reduces clutter (noise), increases resolution at depth,

    improves sensitivity

  • European School of Medical Physics - Archamps160

  • European School of Medical Physics - Archamps161

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps162

    Safety

    • Thermal

    – tissue heating, cell death for T > 42oC

    • Mechanical

    – cavitation bubbles for pressures > threshold

    • unfortunately threshold is frequency dependent

    Possible damage from ultrasound:

  • European School of Medical Physics - Archamps163

    ““““Therapeutic US Therapeutic US Therapeutic US Therapeutic US principlesprinciplesprinciplesprinciples””””

    Remy SouchonRemy SouchonRemy SouchonRemy Souchon

    ““““Therapeutic US Therapeutic US Therapeutic US Therapeutic US principlesprinciplesprinciplesprinciples””””

    Remy SouchonRemy SouchonRemy SouchonRemy Souchon

  • European School of Medical Physics - Archamps164

    Important Intensities

    • ISPTA (spatial peak temporal average)

    – describes tissue heating potential

    • ISPTP (spatial peak temporal peak)

    – describes cellular damage potential Isptp (Temporal

    Peak)

    Isppa (Pulse

    Average)

    Ispta (Temporal

    Average)

    TPRFτ

  • European School of Medical Physics - Archamps165

    Example: Acoustical Outputs

    Mode Pr(Mpa) ISPTA(mW/cm2) ISPPA (W/cm

    2) Power(mW)

    B 1.68 18.7 174 18

    M 1.68 73 174 3.9

    PD 2.48 1140 288 30.7

    CF 2.59 234 325 80.5

  • European School of Medical Physics - Archamps166

    Mechanical and Thermal Indices

    • Thermal index

    – relates to temperature

    – potential for heating effects (metabolic rate)

    • Mechanical Index

    – relates to pressure

    – potential for bubble effects (cavitation)

  • European School of Medical Physics - Archamps167

    Thermal Index

    • TI is the ratio between:

    – the power exposing the tissue, W

    – the power required to cause a 1oC temperature

    rise, Wdeg

    TI =Wdeg

    W

  • European School of Medical Physics - Archamps168

    Mechanical Index

    • MI describes the likelihood of the negative

    pressure causing bubble activity

    MIP-d

    f

    =

    P-d is the ‘derated’ pressure at the site in the body

    f is the frequency of the pulse

    megapascals

    (megahertz) 1/2

  • European School of Medical Physics - Archamps169

    MI and TI in practice

    important not so important

    contrast agents

    lung (cardiac)

    bowel gas (abdominal)

    absence of gas bodies

    (most soft tissue studies)

    TI 1st trimester

    fetal skull and spine

    ophthalmic

    fever

    poor perfusion

    good perfusion

    (liver, spleen)

    cardiac

    vascular

    MI

  • European School of Medical Physics - Archamps170

    Guidelines

    • MI>3 Possibility of minor damage to

    neonatal lung or intestine

    • MI>0.7 Theoretical risk of cavitation.

    • TI>0.7 Restrict exposure time of a fetus

    • TI>1.0 Eye scanning not recommended

    • TI>3.0 Fetal scanning not recommeded

  • European School of Medical Physics - Archamps171

    ““““QQQQ----assurance of assurance of assurance of assurance of US equipmentUS equipmentUS equipmentUS equipment””””Chris de KorteChris de KorteChris de KorteChris de Korte

    ““““QQQQ----assurance of assurance of assurance of assurance of US equipmentUS equipmentUS equipmentUS equipment””””Chris de KorteChris de KorteChris de KorteChris de Korte

  • European School of Medical Physics - Archamps172

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Speed of Sound

    Impedance

    Impedance

    ImpedanceImpedance

    ReflectionReflectionReflectionReflection

    RefractionRefractionRefractionRefraction

    Attenuation

    Attenuation

    Attenuation

    Attenuation

    NonNonNonNon----linear effectslinear effe

    ctslinear effe

    ctslinear effe

    cts

    SafetySafetySafetySafety

  • European School of Medical Physics - Archamps173

    Scanner settings

    •Fixed settings : MI, TCG, gain

    •Adjustement: focus, sector

    size

  • European School of Medical Physics - Archamps174

  • European School of Medical Physics - Archamps175

  • European School of Medical Physics - Archamps176

  • European School of Medical Physics - Archamps177

  • European School of Medical Physics - Archamps178

    References

    • Ultrasound Imaging, Bjorn A. J. Angelsen,

    ISBN 82-995811-0-9, Emantec AS,

    Trondheim, Norway,

    www.ultrasoundbook.com

    • Ultrasound in Medecine, Institute of

    Physics, Publishing Bristol and Philadelphia

  • European School of Medical Physics - Archamps179

    It’s all over….