2. Kiran is doing a summer internship in a physics lab that uses optical fibres. Their Thorlabs 1550BHP fibre has specifications listed here. To the right is a diagram of the various layers (thicknesses to scale) and the definition of the bending radius (not to scale). Kiran needs to route a beam of A = 1550 nm light through a tight mechanical setup and needs to keep the curves larger than the listed minimum bend radius (Long Term). Assume that any curves are circular (i.e. the curve makes a perfect circular arc segment) and Coating Cladding Core Cladding Coating that all the light is perfectly aligned when it enters the fibre. Bending Radius a) Draw a diagram of the situation showing the light beams, the core, and core-cladding interface of the fibre. Include a circular bend of the minimum bending radius, and the path of the light beams as they reflect. b) Based on the minimum bending radius, what is the ratio of the indices of refraction of the core and cladding material? I.e. find ncladding/ncore. c) Let's consider what happens if the light entering the fibre is not perfectly aligned. Consider a single beam entering the fibre at its midpoint. The beam is 10° off from the axis of the fibre. Draw one or more diagrams of what might happen to the beam when it gets to the bend you used in part a). Does the beam still undergo total internal reflection, or does it leak out to the cladding? You can do this part completely qualitatively, no need to do new calculations.
2. Kiran is doing a summer internship in a physics lab that uses optical fibres. Their Thorlabs 1550BHP fibre has specifications listed here. To the right is a diagram of the various layers (thicknesses to scale) and the definition of the bending radius (not to scale). Kiran needs to route a beam of A = 1550 nm light through a tight mechanical setup and needs to keep the curves larger than the listed minimum bend radius (Long Term). Assume that any curves are circular (i.e. the curve makes a perfect circular arc segment) and Coating Cladding Core Cladding Coating that all the light is perfectly aligned when it enters the fibre. Bending Radius a) Draw a diagram of the situation showing the light beams, the core, and core-cladding interface of the fibre. Include a circular bend of the minimum bending radius, and the path of the light beams as they reflect. b) Based on the minimum bending radius, what is the ratio of the indices of refraction of the core and cladding material? I.e. find ncladding/ncore. c) Let's consider what happens if the light entering the fibre is not perfectly aligned. Consider a single beam entering the fibre at its midpoint. The beam is 10° off from the axis of the fibre. Draw one or more diagrams of what might happen to the beam when it gets to the bend you used in part a). Does the beam still undergo total internal reflection, or does it leak out to the cladding? You can do this part completely qualitatively, no need to do new calculations.
University Physics Volume 3
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Chapter4: Diffraction
Section: Chapter Questions
Problem 58P: A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The...
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Transcribed Image Text:2. Kiran is doing a summer internship in a
physics lab that uses optical fibres. Their
Thorlabs 1550BHP fibre has specifications
listed here.
To the right is a diagram of the various
layers (thicknesses to scale) and the
definition of the bending radius (not to
scale).
Kiran needs to route a beam of
A = 1550 nm light through a tight
mechanical setup and needs to keep the
curves larger than the listed minimum
bend radius (Long Term). Assume that
any curves are circular (i.e. the curve
makes a perfect circular arc segment) and
Coating
Cladding
Core
Cladding
Coating
that all the light is perfectly aligned when it enters the fibre.
Bending Radius
a) Draw a diagram of the situation showing the light beams, the core, and core-cladding
interface of the fibre. Include a circular bend of the minimum bending radius, and the path
of the light beams as they reflect.
b) Based on the minimum bending radius, what is the ratio of the indices of refraction of the
core and cladding material? I.e. find ncladding/ncore.
c) Let's consider what happens if the light entering the fibre is not perfectly aligned. Consider
a single beam entering the fibre at its midpoint. The beam is 10° off from the axis of the
fibre. Draw one or more diagrams of what might happen to the beam when it gets to the
bend you used in part a). Does the beam still undergo total internal reflection, or does it
leak out to the cladding? You can do this part completely qualitatively, no need to do new
calculations.
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