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Decibel

Background

 

The requirement is to understand what is decibel and what it is used for

 

Initial questions

 
  1. What is decibel?
 

    2. How to measure it?

    3. How to use it in optical fiber ?

 

Selected problem

 

All questions were selected to answer in detail.

 

My explanation

 
  1. Decibel is a universal unit to measure sound level, but it is also used in electronics, signals and communications.
  2. On the decibel scale, the smallest audible sound (near total silence) is 0 dB. A sound 10 times more powerful is 10 dB. A sound 100 times more powerful than near total silence is 20 dB.
  3. In my opinion, decibel is used to measure signal loss in transmission in optical fiber.
 

Critical evaluation

 

More details and reading as well as reasoning that need to be provided.

 Finding more information  

Looking for more info about Decibel and also how to use it in fiber optic

Final theory:

The decibel (dB) is used to measure sound level but it is also used widely in communications, electronics and signals. In communications, the decibel is a logarithm way of describing a ratio between two signal power, such as power, sound pressure, voltage, or current levels The decibel is a common measurement used in the field of electronics to determine loss or gain in a system. 

Suppose we have 2 signals, signal 1 has a power of P1 watts, signal 2 has a power of P2 Watts, then the difference in decibels between 2 signals is defined to be:

                                       10log(P2/P1)dB   where the log is base 10

 

In order to measure optical loss, you can use two units, namely, dBm and dB. While dBm is the actual power level represented in milliwatts, dB (decibel) is the difference between the powers.

Figure 4 – How to Measure Optical Power

 

db_290008.gif

Figure 1: How to measure optical power [1]

Light loss, L(dB), is a commonly used specification for fiber optic attenuation. For example, to determine the light loss of an optical fiber in a cable, a light source is connected to one end of the fiber cable (input). The light output power of the source is known to be 0.1 mW. When an optical power meter is connected to the opposite end of the fiber optic cable under test (output), the meter measures 0.05 mW. Using the decibel power loss formula, the optical fiber loss can be calculated as follows:

4.jpg

Figure 2: How to measure fiber loss [2]
2(1).jpg
 

The light power loss of this optical fiber is 3 dB 

The dB unit is a logarithmic ratio of input and output levels and is therefore not absolute (i.e., has no units). An absolute measure of power in decibels can be made in the dBm form. The dBm unit is a logarithmic ratio of the measured power to 1 mW of reference power

Reference

  1. Introduction to optical fibers, dB, Attenuation and measurement:
    http://www.cisco.com/c/en/us/support/docs/optical/synchronous-digital-hierarchy-sdh/29000-db-29000.html
  2. Optical Power loss measurement in db- how to measure it fast and correct
    http://www.ad-net.com.tw/?id=474

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Frequency


Background 

The requirement is to understand what factors and dependencies cause attenuation in fiber optic.

 

Initial questions

How is attenuation dependent on frequency?
 
 

Selected problem

All questions were selected to answer in detail.
 
 

My explanation

Attenuation has relation in increasing with frequency, which means the higher the frequency the higher the attenuation.

 

Critical evaluation 

More details and reading as well as reasoning that need to be provided.

 

Finding more information 

More information is obtained by reading books and searching for online information.

 

Final theory

Attenuation is a loss of intensity in an energy beam as it passes through a substance or object or the energy loss of signal transmission through a given mediumCoefficient is a quantitative measure of either an effect or a property. It is the ratio by which a change in one property will change another property. The attenuation coefficient is thus a ratio comparing the loss of intensity to the distance that the energy beam passes through the material. The units used to express the intensity will depend on the precise energy beam. 

The attenuation coefficient is also used in ultrasound. When ultrasound waves propagate in a medium, energy is removed from the ultrasound waves by two main processes, absorption and scattering.The mechanism that removes energy from the ultrasound waves is called “attenuation”. Ultrasound is absorbed by the medium if part of the wave energy is converted into other forms of energy, such as heat. The absorption is frequency dependence. When ultrasound waves propagate, they not only become smaller in amplitude but they also change shape. Absorption in the body has a major effect on the penetration depth. It would limit the detectable penetration of the ultrasound waves in the body or the maximum depth at which tissues can be imaged. The attenuation of ultrasound in a material could be described by the attenuation coefficient in the units of decibels per centimetre per megahertz (dB/cm/MHz). 

Attenuation always serves as a measurement parameter that leads to the formation of theories to explain physical or chemical phenomenon, which decreases the ultrasonic intensity. Attenuation is generally proportional to the square of sound frequency. Quoted values of attenuation are often given for a single frequency, or an attenuation value averaged over many frequencies may be given. The attenuation coefficient (α) can be used to determine total attenuation in dB in the medium using the following formula:

Image Added

α: attenuation coefficient
 ℓ: medium length
 ƒ: frequency of the incident ultrasound beam

The attenuation coefficients of common biological materials at a frequency of 1 MHz are listed below:

Materialα(dB/(MHz·cm))
Air1.64 (20°C)
Blood0.2
Bone, cortical6.9
Bone, trabecular9.94
Brain0.6
Breast0.75
Cardiac0.52
Connective tissue1.57
Dentin80
Enamel120
Fat0.48
Liver0.5
Marrow0.5
Muscle1.09
Tendon4.7
Soft tissue (average)0.54
Water0.0022

Figure 1. Diffuse reflection. Copied from [1]


Reference
  1. Culjat, Martin O.; Goldenberg, David; Tewari, Priyamvada; Singh, Rahul S. (2010). "A Review of Tissue Substitutes for Ultrasound Imaging". Ultrasound in Medicine & Biology 36 (6): 861–873.
  2. Tole, Nimrod M. (2005). Basic physics of ultrasonographic imaging. 
    Chapter 3: http://www.isradiology.org/isr/docs_books/basic/Chapter3.pdf