Biophotonics and Waveguides Fundamentals
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Questions and Answers

Which of the following concepts is NOT included in the topics to be covered in photonics?

  • Planar waveguides
  • Fibre optics
  • Loss mechanisms
  • Light interaction with sound (correct)

John Tyndall was the first to demonstrate light guided by total internal reflection in a glass fibre.

False (B)

What phenomenon allows light to be guided through optical fibres?

Total internal reflection

The modern equivalent of the light pipe is the flexible ________ cable.

<p>glass fibre optic</p> Signup and view all the answers

Match the following types of loss mechanisms with their descriptions:

<p>Absorption = Energy loss due to conversion into heat Scattering = Deflection of light due to imperfections Bending = Loss of light due to changing curvature Dispersion = Separation of light into its component wavelengths</p> Signup and view all the answers

What type of waveguide is best described as a structure with two parallel mirrors?

<p>Planar waveguide (B)</p> Signup and view all the answers

A monochromatic TEM plane wave propagates in the xy plane when discussing wave propagation in a planar waveguide.

<p>False (B)</p> Signup and view all the answers

What application allows delivering light inside the body during procedures?

<p>Endoscopes</p> Signup and view all the answers

What is the primary characteristic of waves that fulfill the self-consistency condition in the waveguide?

<p>They reproduce themselves after reflection. (A)</p> Signup and view all the answers

The angle of incidence must be acute for all modes to be achievable in the waveguide.

<p>False (B)</p> Signup and view all the answers

What term is used to describe the waves that maintain the same transverse distribution and polarization along the waveguide?

<p>Modes</p> Signup and view all the answers

To determine the maximum number of modes, the condition is set that sinθm must be less than _____ to ensure valid angles.

<p>1</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Modes = Waves that reproduce themselves after reflection Waveguide = Structure that confines and guides waves Total Internal Reflection = Phenomenon that allows light to be guided along the waveguide E-field = Electric field that can be polarized in a specified direction</p> Signup and view all the answers

What occurs to rays at angles less than the critical angle when they encounter an interface?

<p>They reflect and refract but lose some power. (B)</p> Signup and view all the answers

What happens to a plane wave as it bounces between the top and bottom mirrors?

<p>It zigzags at an angle. (A)</p> Signup and view all the answers

Evanescent waves have zero field distribution at the dielectric boundaries.

<p>False (B)</p> Signup and view all the answers

Only two distinct plane waves can exist simultaneously in a waveguide.

<p>True (A)</p> Signup and view all the answers

What is required for waves to regenerate in a waveguide?

<p>Self-consistency condition</p> Signup and view all the answers

What mechanism ensures that light is guided along the middle block of the waveguide?

<p>Total internal reflection</p> Signup and view all the answers

The number of TE modes can only have a maximum value denoted as mmax, which has to be increased to the nearest __________.

<p>integer</p> Signup and view all the answers

Match the following terms with their corresponding descriptions:

<p>Critical Angle = Angle for total internal reflection Evanescent Waves = Waves that decay exponentially into the material TE Modes = Transverse electric modes in waveguides Self-Consistency Condition = Requirement for wave regeneration</p> Signup and view all the answers

In a waveguide, what is the result when the thickness of the dielectric is very thin?

<p>Only one mode is allowed. (C)</p> Signup and view all the answers

The profiles of the fields in a dielectric slab are identical to those in a two mirror waveguide.

<p>True (A)</p> Signup and view all the answers

What do we call the waves that travel into n2 and decay exponentially?

<p>Evanescent Waves</p> Signup and view all the answers

Flashcards

Refraction

The bending of light as it passes from one medium to another, such as from air to water.

Total Internal Reflection

A phenomenon where light traveling in a denser medium strikes a boundary with a less dense medium at an angle greater than the critical angle, causing it to reflect back into the denser medium.

Optical Fiber

A guided wave that travels within a cylindrical waveguide, typically made of glass or plastic.

Acceptance Angle

The angle at which light entering a waveguide is most effectively guided.

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Numerical Aperture

A measure of the light-gathering ability of an optical fiber, related to the acceptance angle.

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Dispersion

The phenomenon by which light of different wavelengths travels at different speeds within a material, causing the signal to spread.

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Material Dispersion

A type of dispersion that occurs due to the material properties of the waveguide.

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Chromatic Dispersion

Change of refractive index with wavelength which causes spreading of the optical pulses in the waveguide.

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Waveguide Mode

A wave pattern that repeats itself after reflecting off the top and bottom mirrors of a waveguide.

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Self-Consistency Condition

The condition where the wave's phase shift after traveling from point A to point B is equal to or differs by a whole number multiple of 2Ï€ compared to traveling from A to C.

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Bounce Angle

The angle at which the wave bounces off the mirrors, determining the path the wave takes within the waveguide.

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Maximum Bounce Angle (θm)

The maximum angle at which a mode can exist within the waveguide, determined by the refractive indices of the waveguide and its surroundings.

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Number of Modes

The limited number of possible wave patterns that can exist within a waveguide, determined by the waveguide's geometry and the wavelength of the light.

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Polarization

The direction of the electric field in an electromagnetic wave, determining its orientation.

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X-Polarized E-Field

A specific configuration of the electric field that is constant in a specific direction (e.g., x-polarized) and maintains this orientation throughout the waveguide.

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Critical Angle

The angle at which light traveling from a denser medium to a less dense medium is reflected back into the denser medium. This prevents light from escaping the waveguide.

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Evanescent Waves

Waves that decay exponentially as they travel into a less dense medium. These waves are present in the cladding of a waveguide.

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TEM Wave

A type of electromagnetic wave where the electric and magnetic fields are perpendicular to both the direction of propagation and each other. This type of wave is commonly used in waveguides.

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Forward Velocity of a Mode

The speed at which a particular mode travels within a waveguide. It's related to the refractive index of the waveguide material.

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Modes in Waveguides

The light travels in defined paths within a waveguide, each path is known as a mode. Each mode is restricted to a specific angle and frequency.

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Refractive Index

The material's resistance to the transmission of light. It affects the speed and direction of light as it travels through the material.

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Study Notes

Module Structure

  • Fundamentals of light
  • Propagation of light in waveguides
  • Light interaction with matter
  • Lasers
  • Photobiology basics
  • Biophotonics applications
  • Bioimaging
  • Tissue engineering

Topics to be Covered

  • Planar waveguides (mirror and dielectric), number of modes, field distribution
  • Fibre optics (circular waveguides), fibre types, number of modes, acceptance angle, numerical aperture
  • Dispersion (material, modal, waveguide)
  • Loss mechanisms (absorption, scattering, bending)

The Origin of the "Light Pipe"

  • In 1854, John Tyndall first demonstrated light guided by total internal reflection within a curved dielectric cylinder (a water stream).
  • Light focused on the exit hole of the water stream was guided by total internal reflection and illuminated the collection bowl.
  • The modern equivalent is the flexible glass fiber optic cable, revolutionizing communications and used in biophotonics.
  • Applications include endoscopes for internal body procedures, delivering and collecting light from biosensors, and laser surgery.

Wave Propagation in a Planar Waveguide

  • Fibre optic cables are complex.
  • Two parallel mirrors are simpler and easier.
  • Dielectrics relate more closely to fibre optics.

EM Wave Propagating Between Two Perfect Mirrors

  • Ray optics is insufficient to explain light propagation between two mirrors.
  • Wave optics (monochromatic TEM plane wave) is used to understand how the light propagates along the yz plane, with the E-field polarized in the x direction, zig-zagging between the mirrors at an angle θ.
  • A self-consistency condition is needed for waves to reproduce themselves after reflection from the mirrors, leading to modes.

EM Wave Propagating Between Two Perfect Mirrors - 2

  • The phase difference between a wave travelling from A to B and a wave travelling from A to C must be an integer multiple of the phase difference to fulfill the self-consciousness condition.
  • This condition is only satisfied at specific angles, resulting in waveguide modes.

Number of Modes

  • Only specific angles result in modes between two mirrors, thus, a limited number of modes.
  • The maximum number of modes is determined by sin θm < 1.
  • The result for m must be the nearest integer.

Field Distribution

  • Standing waves propagate in the y direction and z direction.
  • Field amplitude is constant for fixed y values.
  • Odd modes have maxima at the middle and even modes have minima at the middle.
  • Zero field occurs at the mirror surfaces.

Mode Velocity

  • Oblique modes move slower due to longer zigzag paths.

Planar Dielectric Waveguides

  • Light guidance occurs in dielectric blocks surrounded by a medium with a lower refractive index.
  • Total internal reflection guides light along the middle of the block.
  • Rays that refract at an angle less than the critical angle lose power at each interface and vanish.

EM Wave Propagating in a Dielectric Slab

  • TEM waves are used in a similar fashion to two-mirror waveguides, and a self-consistency condition is required for wave propagation.
  • Factors include the refractive index of the materials, phase shift at material interfaces, and total internal reflections via critical angle.

Number of Modes (2)

  • The number of TE modes is given by a formula.
  • The resulting value for mmax has to be rounded up to the nearest integer.
  • When only one mode is allowed, irrespective of thickness, a m=0 mode will exist in the waveguide (a single-mode waveguide).

Field Distribution (2)

  • Unlike two-mirror waveguides, fields at dielectric boundaries are not zero.
  • Waves decay exponentially as they travel into the medium with a lower refractive index (evanescent waves).
  • Field profiles inside the higher-index medium resemble those in two-mirrors waveguides and for each mode there are m zero points and m + 1 maxima.

Summary

  • Light travels in modes in waveguides, and light wave fronts reinforcing each other propagate through the waveguide at specific angles.
  • The maximum number of modes in two parallel mirror waveguides is determined by a formula; the forward velocity for a given mode is calculable; the maximum number of modes in a waveguide can be determined.
  • Energy in the cladding is due to evanescent waves.

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Explore the core principles of biophotonics and optical waveguides. This quiz covers light propagation, interaction with matter, and various applications in bioimaging and tissue engineering. Test your knowledge on key topics including fibre optics and dispersion mechanisms.

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