Optical fibers utilize total internal reflection (TIR) to confine and guide light. They are typically used in materials processing as a means of delivering light from a laser source to a processing head. Other applications include telecommunications, spectroscopy, illumination and sensors.  A particularly common form of optical fiber is a step-index fiber, shown in Figure 1. Step-index fibers have an inner core made from a material with a refractive index (ncore) that is higher than the surrounding cladding layer (nclad). Within the fiber, a critical angle of incidence (θcrit) exists such that light will reflect off the core/cladding interface by TIR, as opposed to refracting into the fiber cladding. To fulfil the conditions for TIR to occur, the angle of incidence of light launched into the fiber must be less than a certain angle, which is defined as the acceptance angle (θacc).  The critical angle for TIR in a given fiber can be calculated on the basis of the refractive indices of the fiber cladding and core materials according to Snell’s law. The acceptance angle is related to the numerical aperture (NA) of the fiber, a dimensionless quantity used by fiber manufacturers to specify the acceptance angle of an optical fiber. The acceptance angle in a given medium of refractive index n can be calculated. Laboratory exercise For this assessment, you will collect experimental data as part of a group, which will form the basis of an individual submission. Laser source • Type: Diode (U22000, 3B Scientific) • Wavelength: 650 nm  • Beam profile: See additional information provided • Initial beam diameter: See additional information provided  Launch configuration • Single plano-convex focussing optic with effective focal length of 50 mm  Fiber optic • Type: SMA connectorized patch cable  • Core diameter: 200 µm  • Refractive index of core: 1.47 • Refractive index of cladding: 1.4543 • Maximum power density at air-glass interface: 1 GW/cm2 (based on peak power, determined at a wavelength of 1064 nm and a pulse duration of 10 ns)  Questions 1) Considering all information provided regarding the laser source, launch configuration and fiber optic, determine whether or not the entirety of the incident beam is launched effectively into the fibre optic. You may use any additional measurements from the laboratory session to support your answer to this question.  2) Using an LBA camera, profile, describe and comment on the intensity distribution of the beam exiting the fiber relative to the beam from the laser source.  3) Taking measurements at various distances from the fiber exit, determine the quality of the exit beam.  4) This fiber optic is to be used for delivery of a short-pulsed laser beam as part of a laser ignition experiment, utilising a TEM00 operating at 532 nm wavelength, 4.5 ns pulse duration, <180 mJ pulse energy and 10 Hz repetition rate. Appraise the suitability of this fiber optic for this purpose. lab results   Beam diameter (mm)   z (cm) Beam profile 1(mm) Beam profile 2(mm)   15 1.47 2.81   20 1.39 2.72   25 1.34 2.59   30 1.27 2.49   35 1.23 2.41

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...
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Optical fibers utilize total internal reflection (TIR) to confine and guide light. They are typically 
used in materials processing as a means of delivering light from a laser source to a 
processing head. Other applications include telecommunications, spectroscopy, illumination 
and sensors. 
 
A particularly common form of optical fiber is a step-index fiber, shown in Figure 1. Step-index 
fibers have an inner core made from a material with a refractive index (ncore) that is higher than 
the surrounding cladding layer (nclad). Within the fiber, a critical angle of incidence (θcrit) exists 
such that light will reflect off the core/cladding interface by TIR, as opposed to refracting into 
the fiber cladding. To fulfil the conditions for TIR to occur, the angle of incidence of light 
launched into the fiber must be less than a certain angle, which is defined as the acceptance 
angle (θacc).  
The critical angle for TIR in a given fiber can be calculated on the basis of the refractive 
indices of the fiber cladding and core materials according to Snell’s law. 
The acceptance angle is related to the numerical aperture (NA) of the fiber, a dimensionless 
quantity used by fiber manufacturers to specify the acceptance angle of an optical fiber. The 
acceptance angle in a given medium of refractive index n can be calculated.
 
Laboratory exercise 
For this assessment, you will collect experimental data as part of a group, which will form the 
basis of an individual submission. 
Laser source 
• Type: Diode (U22000, 3B Scientific) 
• Wavelength: 650 nm 
 
• Beam profile: See additional information provided 
• Initial beam diameter: See additional information provided 
 
Launch configuration 
• Single plano-convex focussing optic with effective focal length of 50 mm 
 
Fiber optic 
• Type: SMA connectorized patch cable  
• Core diameter: 200 µm  
• Refractive index of core: 1.47 
• Refractive index of cladding: 1.4543 
• Maximum power density at air-glass interface: 1 GW/cm2 (based on peak power, 
determined at a wavelength of 1064 nm and a pulse duration of 10 ns) 
 
Questions 
1) Considering all information provided regarding the laser source, launch configuration and 
fiber optic, determine whether or not the entirety of the incident beam is launched effectively 
into the fibre optic. You may use any additional measurements from the laboratory session 
to support your answer to this question. 
 
2) Using an LBA camera, profile, describe and comment on the intensity distribution of the 
beam exiting the fiber relative to the beam from the laser source. 
 
3) Taking measurements at various distances from the fiber exit, determine the quality of the 
exit beam. 
 
4) This fiber optic is to be used for delivery of a short-pulsed laser beam as part of a laser 
ignition experiment, utilising a TEM00 operating at 532 nm wavelength, 4.5 ns pulse duration, 
<180 mJ pulse energy and 10 Hz repetition rate. Appraise the suitability of this fiber optic 
for this purpose.

lab results

 

Beam diameter (mm)

 

z (cm)

Beam profile 1(mm)

Beam profile 2(mm)

 

15

1.47

2.81

 

20

1.39

2.72

 

25

1.34

2.59

 

30

1.27

2.49

 

35

1.23

2.41

 

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