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聽能障礙與輔具的應用—
                                          從助聽器到電子耳




王智弘 醫師
三軍總醫院 耳鼻喉頭頸外科部
Chih-Hung Wang, MD, PhD
Department of Otolaryngology-Head and Neck Surgery
Tri-Service General Hospital, National Defense Medical Center
Taipei, TAIWAN, ROC
Auditory System = Energy Transformation System

  acoustic energy---mechanical energy---hydraulic energy---bio-electric energy

   →    Outer ear ←→ Middle ear      ←→       Inner ear         ←
How Do We Hear?
Sound waves
++++
 +++




  ++++
   +++
Anatomy of the Outer Ear
The Outer Ear:
Auricle (pinna):
 is composed of a sheet of cartilage, and this is
    continous with the cartilage which forms the
    framework of the outer 1/3 of the EAC.

Function:
 ☆ It protects the ear canal and eardrum by repelling any
   objects that strike it

 ☆ collect and capture the acoustic energy and direct it to
  the tympanic membrane

 ☆ the surface of the auricle can modify the
       spectral composition of the incoming
       sound
 ☆ localize the source of sound, using intensity and phase
  differences of signal at two ears

 ☆ beautiful to look at
Anatomy of the Ext. Ear Canal
External auditory canal:
    A narrow, slightly tortuous passage (from concha to the tympanic membrane,
        approximately 2.5~3 cm in the adult).

    The membrane is set obliquely in the depth of the canal, in such a way that the front
         (anterior) wall is longer than the back (posterior) wall. (inferior wall of EAC is longer
          than superior one)
.

          sup.

                                      pos.          ant.
           inf.         5 mm
                               ant.

                  sup                        inf.
                               pos
The ear canal reinforces sound
 Sound is directed towards the eardrum in two ways:

   ► Intensity of sound at eardrum is increased by 20 dB because of resonances from the external
         ear (concha, meatus, canal and eardrum)

   ► This increase in sound intensity is for high frequency sounds. In adults the peak freqeuncies
         are found around 2500 Hz. For children the peak intensities are at higher frequencies
Resonance
耳道的共振效應




波長: 4 x L (管長)    基礎共振頻率 first harmonic
    4 x L x 1/3   第三共振頻率 third harmonic
    4 x L x 1/5   第五共振頻率 third harmonic
Function of Ext. Ear Canal
In the adult, the outer cartilaginous portion
     of the canal runs slightly upwards and
     backwards, the inner bony portion
     running slightly downwards and
     forwards.

The skin covering the cartilaginous portion
   of the canal contains short hairs,
   ceruminous and sebaceous glands.

Two constrictions in the canal: one at the
   junction of the cartilaginous and bony
   portions; the other, the isthmus, 5 mm
   from the tympanic membrane, in the
   bony portion.

Function:                                                    cartilage   bone
  ☆Cleaning: cilia                                          Outer 1/3    Inner 2/3
  ☆Protection: cerumen, moisture
  ☆Resonance & sound amplification:             Hair               Yes     NO
      Natural frequency in EAC:                 Sebaceous gland    Yes     NO
     343m/(4x0.03) = 2834 HZ                    Ceruminous gland   Yes     NO
     2500~4000 Hz, 2x~4x intensity              Sweat gland        Yes     NO
   ☆Sound localization:
The Eardrum & The Ossicles
The Middle ear as an Impedence Transformer
☆ The middle ear acts as an
  impedence-matching device.

☆ Amplify sound pressure:
 @ Lever action: d1p1=d2p2
  malleal arm: incudal arm = 1.3: 1




@ Areal ratio of the tympanic membrane
   to the oval window
    a1p1=a2p2
 tympanic memb.: oval window = 14: 1
  → x 18.2 → 25.25 db SPL
 Exp.: Resonance in EAC: 2.5K~4k Hz: 2x ~ 4x
The Middle Ear Cleft:

 The tympanic cavity is an air-containing cavity in the
                              air-
         petrous part of the
      temporal bone and is lined with mucous membrane.
 It contains the auditory ossicles, and communicates in
                           ossicles,
         front through the E-
                           E-
      tube with the nasopharynx and behind with the mastoid
         antrum.
         antrum.

Roof:
 A thin plate of bone, the tegmen tympani, which is part of
        the petrous
     temporal bone
 It seprates the tympanic cavity from the meninges and
        temporal lobe of the
     brain in the middle cranial fossa.
                                 fossa.

Floor:
 A thin plate of bone, which may be deficient and partly
        replaced by fibrous tissue.
 It separates the tympanic cavity from the superior bulb of
        the internal jugular vein.
Schematic diagram of
the middle ear




                E-tube : 17-18 mm long at birth; 35 mm in adult
Structure of Inner Ear
Anatomical two parts:
1). Bony labyrinth: comprising a series of cavities within the bone
         labyrinth

2). Membranous labyrinth: comprising a series of membranous
            sacs and ducts contained within the bony labyrinth.
Anatomy of the Labyrinth
Bony Labyrinth:

Vestibule:
The central part of the bony labyrinth, lies posterior to
 the cochlea and ant. to the semicircular canals.
Within the vestibule are the saccule and utricle of the
 membranous labyrinth.

Semicircular canals:
 Within the canals are the semicircular ducts. Each
 canal has a swelling at one end called ampulla.
                                         ampulla.

Cochlea:
 Two and a half turns in the human, these coils(holly
  bony tube) turning around a central ‘pillar’, the
                                       pillar’
  modiolus
Membranous Labyrinth:

 Utricle: indirectly connected to the saccule by utricular duct.

 Saccule: globular in shape, saccular duct

 Semicircular ducts:

 Cochlear duct: triangular in cross section, connected to the saccule by the ductus
           reunions.
Perilymph:

•   Primarily formed by filtration from blood vessels in the inner e ar
•   Communicates with the cerebrospinal fluid (CSF) through the coch lear
      aqueduct, a narrow channel 3- 4 mm long, with its inner ear opening at
      the base of the scala tympani.
•   Resembles the extracellular fluids:
    ( high Na+ :140 mEq/liter; low K+:10 mEq/liter; Protein: 200-400 mg%,
     CSF: Na+ :152 mEq/liter; K+:4 mEq/liter; Protein: 20-50 mg% )

Endolymph:

•   Produced by the secretory cells in the stria vascularis of the cochlea and the
    dark cells of the vestibular labyrinth.
•   Re-absorption of endolymph take place in the endolymphatic sac.
•   Resenble the intracellular fluids:
    ( low Na+ :5 mEq/liter; high K+:144 mEq/liter; Protein: 126 mg%)
Chemical Composition of the
     Cochlear fluids
Blood supply of the inner ear
Basilar artery—ant. inf. cerebellar artery—labyrinthine artery

 ↗ common cochlear a. --↗main cochlear a ----------------------------- ↓
                            ↘vestibulo-cochlear a ↗cochlear ramus ↑
                                                 →post. vestibular a.↓

 ↘ ant. vestibular a.     ----------------------------------------------------------↑
Blood supply of the inner ear
Basilar artery—ant. inf. cerebellar artery—labyrinthine artery

 ↗ common cochlear a. --↗main cochlear a ----------------------------- ↓
                            ↘vestibulo-cochlear a ↗cochlear ramus ↑
                                                 →post. vestibular a.↓

 ↘ ant. vestibular a.     ----------------------------------------------------------↑
Shearing is a particular form of bending
Inner Hair Cell   Outer Hair Cell
Innervation and central connections
Two types: Afferent fibres: carrying sensory
                    fibres:
 information to the brain.
 Efferent fibres: Pass from the brain-stem to
          fibres:                brain-
 the cochlea, perhaps 1000 in number

As many as 95% of all afferent fibres make
 contact with the inner hair-cells, 5% with
                        hair-
 outer hair cells, and each inner hair-cell has
                                   hair-
 terminals from about 10~20 afferent fibres.
                                         fibres.

The vast majority of the fibres of the cochlear
 nerve (about 30,000 of them) are afferent
 and their cell bodies are in the spiral
 ganglion in the modiolus.
                  modiolus.

The modiouls contains many small canal, the
 most central of them carrying fibres from the
 apex of the cochlea, while the outermost
 canal carry fibres from the basal part of the
 cochlea.
Travelling wave:
Travelling wave:
Response to a 150 Hz tone    Response to a pulse sequence




Response to a 1.5 kHz tone
                             Low frequency traveling wave in 3-D




Response to a 15 kHz tone

                              High frequency traveling wave in 3-D
Tuning Curve
The frequency sensitivity of a hair cell can be displayed as a tuning curve
PHYSICAL PROPERTIES OF
       SOUND

                 Chih-Hung Wang, MD, PhD
Tri-Service General Hospital, National Defense Medical Center



                        王智弘


    三軍總醫院耳鼻喉部                   國防醫學院耳鼻喉學系
Nature of sound

•   The sensation of sound is determined by the
    interaction of sound waves with the hearing system.

•   The normal human ear has an auditory sensitivity
    which ranges from 20-20,000 Hz.

                                 Humans: 20- 20,000 Hz
                                 Whales: 20- 100,000 Hz
                                 Bats: 1500- 100,000 Hz
                                 Frogs: 600-    3000 Hz
                                 Fish:      20- 3000 Hz
                                 Crickets: 500- 5000 Hz
Production of sound

► Sound is a form of energy

► The vibration of an elastic body (tuning fork, piano string, vocal cords) gives rise to
    the propagation of pressure waves [ a sequence of increases (compressions)
    and decreases (rarefactions) in pressure].

►When the vibrating object is a sound source, these pressure waves are known as
  sound waves.

►Sound wave:
  Energy transmission by media
  Longitudinal wave = pressure wave

縱波: 波傳遞時,介質振動的方向與波行進方向平行

橫波:波傳遞時,介質振動的方向與傳遞方向互相垂直
At rest   Compression   Rarefaction
Characters of sound
1). Frequency: one double vibration is called a cycle. The
     frequency of sound is determined by the number of complete
     cycles per second and is expressed in hertz (Hz).
  ► Pitch: Psychoacoustics terms
  ► Octave: at twice the frequency:
  ► Fundamental frequency: the basic underlying sine wave
  ► Harmonics: the higher frequencies based on multiples of a
     fundamental frequency.
•The lowest component of the waveform is known as the FUNDAMENTAL

•The second harmonic is twice the fundamental frequency, the third harmonic is
 three times the fundamental frequency, and so forth.
2). Period: the time for one double vibration= second/ per cycle
3). Wave length: the distance for one cycle = m/sec
4). Phase: the phase of a sine wave corresponds to its
                distance form zero at the moment in which the
                vibration begins (onset) and is usually defined in
                terms of time (period) or angular measure.
interference




If you strike a tuning fork and rotate it next to your ear, you will note that the
sound alternates between loud and soft as you rotate through the angles where
 the interference is constructive and destructive.
The arrow indicates one cycle of the sound. The time it takes to complete a
cycle is the period. Frequency is the inverse of this, the number of cycles in a
second. The distance sound travels during one period is the wavelength.
             P = 1/f             λ = S/f
The upside down y is λ (lambda): wavelength
          P = period,
          f = frequency
          S = the speed of sound

 20℃、海平面上,聲音的速率: 343 m/s 溫度的變化:『v = (331 + 0.6T) m/s 』

在水中,20℃時聲音的速率: 1,482 m/s

 鋼鐵材質中則大約5,960 m/s。
Sine wave

• The waveform produced by simple harmonic
  motion is the SINE WAVE
• the simplest type of sound wave is one which
  has only one frequency and is constant in
  amplitude
Beats
    When two waves with the same amplitude but different
frequency are added together a phenomenon called "beating"
                          occurs.
Refraction 折射




▶In the first, the beam crosses the boundry between warm and cool at a right angle. All that
   happens is the wavelength changes. It gets shorter, since the speed of sound is lower in
   the cool air.
▶ Look at the beam that strikes the boundry at an angle.The wavefront that has just crossed
   actually has two wavelengths; long for the part still in the warm air, short for the part in
   the cold.This makes it skewed. All later waves just propagate off this crooked wavefront,
    in a new direction.
Resonance
5). Amplitude: The difference between normal (atmospheric)
     pressure and the pressure in the presence of a sound wave. It varies
     with time between positive and negative values and is expressed in
     pascals (newtons/m2).
     The lower limit to the hearing threshold at 1k Hz:
                   2 x 10-5 newton/m2= 20 µPa

   ► The measurement of amplitude of the sound wave:
       Pressure: Newton/m2 or dyne/cm2
       Intensity: power : watt/m2 or watt/cm2
   Exp: 1k Hz: (power) 1 x10-16 watt/cm2 =(pressure) 0.0002 dyne/cm2
     or 2 x 10-4 dyne/cm2
Intensity being proportional to the square of the amplitude of sound pressure
(I ∞ P2)
Pascal
Amplitude and waveform




•Amplitude of sounds as loudness.

•The shape of a sound is its waveform

•The shape of the curve is very important in establishing the
  timbre of the sound..
Tuninig curve of single nerve fiber
     100

dB   80

     60

     40

     20


           1      10             40
                         kHz
Normal                 Loss of OHC           Loss of IHC & OHC
sound_zh_TW.jar
Measurement of Sound
                     MKS                   CGS

        Length       m                     cm
          Mass       Kg                     g
          Time       second                 second
       sound wave
         pressure    Newton/m2             dyne/cm2

         intensity   watt/m2                watt/cm2

F=ma   Newton:             1N = 105 dyne
Bel system
   Bel system=Intensity (power) system, named
    after the scientist
      Alexander Graham Bell

       BelIL = log I/I0

 0 bel =1 x 10-12 watt/m2 (I0: a tone which is only just audible= a threshold sound)
1 bel =10 x 10-12 watt/m2
3 bel =10 x 10 x 10 x 10-12 watt/m2 (a whisper is 1000 times more powerful than
 a threshold sound = raised to the power of three)
Decibel system

 Decibel system: for clinical purposes, the bel has been broken down into
   ten smaller units known as decibels (dB)
dBeL = 10 log I/I0 I: the intensity to be measured
                   I0: threshold sound = 1 x 10-12 watt/m2 = 1 x 10-16 watt/cm2

Exp: when noise is 1 x 10-14 watt/cm2
dBeL= 10 log 1 x 10-14 watt/cm2 / 1 x 10-16 watt/cm2 =20 dB
   Similarly, a whisper (3 bels) = 30 dB = 103 x threshold sound
         A conversational voice (6 bels) = 60 dB = 106 x threshold sound
         A loud shout (9 bels) = 90 dB = 109 x threshold sound

    Loudness: Psychoacoustics terms
(I (power)∞ p2 )
Intensity being proportional to the square of the amplitude of sound pressure



              dBSPL = 20 log P/P0
                                P=power
 Exp.:
 A: 0.002 dyne/cm2: dBSPL=20 log 0.002/0.0002= 20
 B: 0.02 dyne/cm2:                           = 40
 C: 0.004 dyne/cm2:                          = 26


              BelIL = dBelIL/10 = dBSPL/20
Auditory threshold

•   1). dB SPL (sound pressure level): a value in decibels which express
    the pressure of sound in relation to a reference pressure which for
    conventional purposes is the minimum pressure required for the perception
    of a 1000-4000 Hz sine wave in the average adult.


•   2). dB HL (hearing level): the minimum intensity at which a person can
    hear at a specific frequency (e.g. 1000 Hz ) in relation to a basic value (0 dB
    HL) which represents minimum hearing in normal hearing subjects.
•
    3). dB SL (sensation level): the level of hearing in dB HL above
    threshold for the subject being tested.
基本上我們使用音量來表示聲音的強弱,但是前述兩種計算音量的方法,只是
用數學的公式來逼近人耳的感覺,和人耳的感覺有時候會有相當大的落差,為
了區分,我們使用「主觀音量」來表示人耳所聽到的音量大小。例如,人耳對
於同樣振福但不同頻率的聲音,所產生的主觀音量就會非常不一樣。若把以人
耳為測試主體的「等主觀音量曲線」(Curves of Equal Loudness)畫出來,就可
            以得到下面這一張圖:

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台科大 助聽器到電子耳 03042012 2

  • 1. 聽能障礙與輔具的應用— 從助聽器到電子耳 王智弘 醫師 三軍總醫院 耳鼻喉頭頸外科部 Chih-Hung Wang, MD, PhD Department of Otolaryngology-Head and Neck Surgery Tri-Service General Hospital, National Defense Medical Center Taipei, TAIWAN, ROC
  • 2. Auditory System = Energy Transformation System acoustic energy---mechanical energy---hydraulic energy---bio-electric energy → Outer ear ←→ Middle ear ←→ Inner ear ←
  • 3. How Do We Hear?
  • 5. ++++ +++ ++++ +++
  • 6. Anatomy of the Outer Ear The Outer Ear: Auricle (pinna): is composed of a sheet of cartilage, and this is continous with the cartilage which forms the framework of the outer 1/3 of the EAC. Function: ☆ It protects the ear canal and eardrum by repelling any objects that strike it ☆ collect and capture the acoustic energy and direct it to the tympanic membrane ☆ the surface of the auricle can modify the spectral composition of the incoming sound ☆ localize the source of sound, using intensity and phase differences of signal at two ears ☆ beautiful to look at
  • 7. Anatomy of the Ext. Ear Canal External auditory canal: A narrow, slightly tortuous passage (from concha to the tympanic membrane, approximately 2.5~3 cm in the adult). The membrane is set obliquely in the depth of the canal, in such a way that the front (anterior) wall is longer than the back (posterior) wall. (inferior wall of EAC is longer than superior one) . sup. pos. ant. inf. 5 mm ant. sup inf. pos
  • 8. The ear canal reinforces sound Sound is directed towards the eardrum in two ways: ► Intensity of sound at eardrum is increased by 20 dB because of resonances from the external ear (concha, meatus, canal and eardrum) ► This increase in sound intensity is for high frequency sounds. In adults the peak freqeuncies are found around 2500 Hz. For children the peak intensities are at higher frequencies
  • 10. 耳道的共振效應 波長: 4 x L (管長) 基礎共振頻率 first harmonic 4 x L x 1/3 第三共振頻率 third harmonic 4 x L x 1/5 第五共振頻率 third harmonic
  • 11. Function of Ext. Ear Canal In the adult, the outer cartilaginous portion of the canal runs slightly upwards and backwards, the inner bony portion running slightly downwards and forwards. The skin covering the cartilaginous portion of the canal contains short hairs, ceruminous and sebaceous glands. Two constrictions in the canal: one at the junction of the cartilaginous and bony portions; the other, the isthmus, 5 mm from the tympanic membrane, in the bony portion. Function: cartilage bone ☆Cleaning: cilia Outer 1/3 Inner 2/3 ☆Protection: cerumen, moisture ☆Resonance & sound amplification: Hair Yes NO Natural frequency in EAC: Sebaceous gland Yes NO 343m/(4x0.03) = 2834 HZ Ceruminous gland Yes NO 2500~4000 Hz, 2x~4x intensity Sweat gland Yes NO ☆Sound localization:
  • 12. The Eardrum & The Ossicles
  • 13. The Middle ear as an Impedence Transformer ☆ The middle ear acts as an impedence-matching device. ☆ Amplify sound pressure: @ Lever action: d1p1=d2p2 malleal arm: incudal arm = 1.3: 1 @ Areal ratio of the tympanic membrane to the oval window a1p1=a2p2 tympanic memb.: oval window = 14: 1 → x 18.2 → 25.25 db SPL Exp.: Resonance in EAC: 2.5K~4k Hz: 2x ~ 4x
  • 14. The Middle Ear Cleft: The tympanic cavity is an air-containing cavity in the air- petrous part of the temporal bone and is lined with mucous membrane. It contains the auditory ossicles, and communicates in ossicles, front through the E- E- tube with the nasopharynx and behind with the mastoid antrum. antrum. Roof: A thin plate of bone, the tegmen tympani, which is part of the petrous temporal bone It seprates the tympanic cavity from the meninges and temporal lobe of the brain in the middle cranial fossa. fossa. Floor: A thin plate of bone, which may be deficient and partly replaced by fibrous tissue. It separates the tympanic cavity from the superior bulb of the internal jugular vein.
  • 15. Schematic diagram of the middle ear E-tube : 17-18 mm long at birth; 35 mm in adult
  • 17. Anatomical two parts: 1). Bony labyrinth: comprising a series of cavities within the bone labyrinth 2). Membranous labyrinth: comprising a series of membranous sacs and ducts contained within the bony labyrinth.
  • 18. Anatomy of the Labyrinth Bony Labyrinth: Vestibule: The central part of the bony labyrinth, lies posterior to the cochlea and ant. to the semicircular canals. Within the vestibule are the saccule and utricle of the membranous labyrinth. Semicircular canals: Within the canals are the semicircular ducts. Each canal has a swelling at one end called ampulla. ampulla. Cochlea: Two and a half turns in the human, these coils(holly bony tube) turning around a central ‘pillar’, the pillar’ modiolus
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  • 23. Membranous Labyrinth: Utricle: indirectly connected to the saccule by utricular duct. Saccule: globular in shape, saccular duct Semicircular ducts: Cochlear duct: triangular in cross section, connected to the saccule by the ductus reunions.
  • 24. Perilymph: • Primarily formed by filtration from blood vessels in the inner e ar • Communicates with the cerebrospinal fluid (CSF) through the coch lear aqueduct, a narrow channel 3- 4 mm long, with its inner ear opening at the base of the scala tympani. • Resembles the extracellular fluids: ( high Na+ :140 mEq/liter; low K+:10 mEq/liter; Protein: 200-400 mg%, CSF: Na+ :152 mEq/liter; K+:4 mEq/liter; Protein: 20-50 mg% ) Endolymph: • Produced by the secretory cells in the stria vascularis of the cochlea and the dark cells of the vestibular labyrinth. • Re-absorption of endolymph take place in the endolymphatic sac. • Resenble the intracellular fluids: ( low Na+ :5 mEq/liter; high K+:144 mEq/liter; Protein: 126 mg%)
  • 25. Chemical Composition of the Cochlear fluids
  • 26. Blood supply of the inner ear Basilar artery—ant. inf. cerebellar artery—labyrinthine artery ↗ common cochlear a. --↗main cochlear a ----------------------------- ↓ ↘vestibulo-cochlear a ↗cochlear ramus ↑ →post. vestibular a.↓ ↘ ant. vestibular a. ----------------------------------------------------------↑
  • 27. Blood supply of the inner ear Basilar artery—ant. inf. cerebellar artery—labyrinthine artery ↗ common cochlear a. --↗main cochlear a ----------------------------- ↓ ↘vestibulo-cochlear a ↗cochlear ramus ↑ →post. vestibular a.↓ ↘ ant. vestibular a. ----------------------------------------------------------↑
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  • 32. Shearing is a particular form of bending
  • 33. Inner Hair Cell Outer Hair Cell
  • 34. Innervation and central connections Two types: Afferent fibres: carrying sensory fibres: information to the brain. Efferent fibres: Pass from the brain-stem to fibres: brain- the cochlea, perhaps 1000 in number As many as 95% of all afferent fibres make contact with the inner hair-cells, 5% with hair- outer hair cells, and each inner hair-cell has hair- terminals from about 10~20 afferent fibres. fibres. The vast majority of the fibres of the cochlear nerve (about 30,000 of them) are afferent and their cell bodies are in the spiral ganglion in the modiolus. modiolus. The modiouls contains many small canal, the most central of them carrying fibres from the apex of the cochlea, while the outermost canal carry fibres from the basal part of the cochlea.
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  • 38. Response to a 150 Hz tone Response to a pulse sequence Response to a 1.5 kHz tone Low frequency traveling wave in 3-D Response to a 15 kHz tone High frequency traveling wave in 3-D
  • 39. Tuning Curve The frequency sensitivity of a hair cell can be displayed as a tuning curve
  • 40. PHYSICAL PROPERTIES OF SOUND Chih-Hung Wang, MD, PhD Tri-Service General Hospital, National Defense Medical Center 王智弘 三軍總醫院耳鼻喉部 國防醫學院耳鼻喉學系
  • 41. Nature of sound • The sensation of sound is determined by the interaction of sound waves with the hearing system. • The normal human ear has an auditory sensitivity which ranges from 20-20,000 Hz. Humans: 20- 20,000 Hz Whales: 20- 100,000 Hz Bats: 1500- 100,000 Hz Frogs: 600- 3000 Hz Fish: 20- 3000 Hz Crickets: 500- 5000 Hz
  • 42. Production of sound ► Sound is a form of energy ► The vibration of an elastic body (tuning fork, piano string, vocal cords) gives rise to the propagation of pressure waves [ a sequence of increases (compressions) and decreases (rarefactions) in pressure]. ►When the vibrating object is a sound source, these pressure waves are known as sound waves. ►Sound wave: Energy transmission by media Longitudinal wave = pressure wave 縱波: 波傳遞時,介質振動的方向與波行進方向平行 橫波:波傳遞時,介質振動的方向與傳遞方向互相垂直
  • 43. At rest Compression Rarefaction
  • 44. Characters of sound 1). Frequency: one double vibration is called a cycle. The frequency of sound is determined by the number of complete cycles per second and is expressed in hertz (Hz). ► Pitch: Psychoacoustics terms ► Octave: at twice the frequency: ► Fundamental frequency: the basic underlying sine wave ► Harmonics: the higher frequencies based on multiples of a fundamental frequency.
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  • 46. •The lowest component of the waveform is known as the FUNDAMENTAL •The second harmonic is twice the fundamental frequency, the third harmonic is three times the fundamental frequency, and so forth.
  • 47. 2). Period: the time for one double vibration= second/ per cycle 3). Wave length: the distance for one cycle = m/sec 4). Phase: the phase of a sine wave corresponds to its distance form zero at the moment in which the vibration begins (onset) and is usually defined in terms of time (period) or angular measure.
  • 48. interference If you strike a tuning fork and rotate it next to your ear, you will note that the sound alternates between loud and soft as you rotate through the angles where the interference is constructive and destructive.
  • 49. The arrow indicates one cycle of the sound. The time it takes to complete a cycle is the period. Frequency is the inverse of this, the number of cycles in a second. The distance sound travels during one period is the wavelength. P = 1/f λ = S/f The upside down y is λ (lambda): wavelength P = period, f = frequency S = the speed of sound  20℃、海平面上,聲音的速率: 343 m/s 溫度的變化:『v = (331 + 0.6T) m/s 』 在水中,20℃時聲音的速率: 1,482 m/s  鋼鐵材質中則大約5,960 m/s。
  • 50. Sine wave • The waveform produced by simple harmonic motion is the SINE WAVE • the simplest type of sound wave is one which has only one frequency and is constant in amplitude
  • 51. Beats When two waves with the same amplitude but different frequency are added together a phenomenon called "beating" occurs.
  • 52. Refraction 折射 ▶In the first, the beam crosses the boundry between warm and cool at a right angle. All that happens is the wavelength changes. It gets shorter, since the speed of sound is lower in the cool air. ▶ Look at the beam that strikes the boundry at an angle.The wavefront that has just crossed actually has two wavelengths; long for the part still in the warm air, short for the part in the cold.This makes it skewed. All later waves just propagate off this crooked wavefront, in a new direction.
  • 54. 5). Amplitude: The difference between normal (atmospheric) pressure and the pressure in the presence of a sound wave. It varies with time between positive and negative values and is expressed in pascals (newtons/m2). The lower limit to the hearing threshold at 1k Hz: 2 x 10-5 newton/m2= 20 µPa ► The measurement of amplitude of the sound wave: Pressure: Newton/m2 or dyne/cm2 Intensity: power : watt/m2 or watt/cm2 Exp: 1k Hz: (power) 1 x10-16 watt/cm2 =(pressure) 0.0002 dyne/cm2 or 2 x 10-4 dyne/cm2 Intensity being proportional to the square of the amplitude of sound pressure (I ∞ P2)
  • 56. Amplitude and waveform •Amplitude of sounds as loudness. •The shape of a sound is its waveform •The shape of the curve is very important in establishing the timbre of the sound..
  • 57. Tuninig curve of single nerve fiber 100 dB 80 60 40 20 1 10 40 kHz Normal Loss of OHC Loss of IHC & OHC
  • 59. Measurement of Sound MKS CGS Length m cm Mass Kg g Time second second sound wave pressure Newton/m2 dyne/cm2 intensity watt/m2 watt/cm2 F=ma Newton: 1N = 105 dyne
  • 60. Bel system Bel system=Intensity (power) system, named after the scientist Alexander Graham Bell BelIL = log I/I0 0 bel =1 x 10-12 watt/m2 (I0: a tone which is only just audible= a threshold sound) 1 bel =10 x 10-12 watt/m2 3 bel =10 x 10 x 10 x 10-12 watt/m2 (a whisper is 1000 times more powerful than a threshold sound = raised to the power of three)
  • 61. Decibel system Decibel system: for clinical purposes, the bel has been broken down into ten smaller units known as decibels (dB) dBeL = 10 log I/I0 I: the intensity to be measured I0: threshold sound = 1 x 10-12 watt/m2 = 1 x 10-16 watt/cm2 Exp: when noise is 1 x 10-14 watt/cm2 dBeL= 10 log 1 x 10-14 watt/cm2 / 1 x 10-16 watt/cm2 =20 dB Similarly, a whisper (3 bels) = 30 dB = 103 x threshold sound A conversational voice (6 bels) = 60 dB = 106 x threshold sound A loud shout (9 bels) = 90 dB = 109 x threshold sound Loudness: Psychoacoustics terms
  • 62. (I (power)∞ p2 ) Intensity being proportional to the square of the amplitude of sound pressure dBSPL = 20 log P/P0 P=power Exp.: A: 0.002 dyne/cm2: dBSPL=20 log 0.002/0.0002= 20 B: 0.02 dyne/cm2: = 40 C: 0.004 dyne/cm2: = 26 BelIL = dBelIL/10 = dBSPL/20
  • 63. Auditory threshold • 1). dB SPL (sound pressure level): a value in decibels which express the pressure of sound in relation to a reference pressure which for conventional purposes is the minimum pressure required for the perception of a 1000-4000 Hz sine wave in the average adult. • 2). dB HL (hearing level): the minimum intensity at which a person can hear at a specific frequency (e.g. 1000 Hz ) in relation to a basic value (0 dB HL) which represents minimum hearing in normal hearing subjects. • 3). dB SL (sensation level): the level of hearing in dB HL above threshold for the subject being tested.