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Questions and Answers
What happens to the ordinary and extraordinary waves at normal incidence in a crystal?
What happens to the ordinary and extraordinary waves at normal incidence in a crystal?
- They interfere destructively, canceling each other out.
- They travel in parallel directions with different velocities. (correct)
- They separate into two distinct beams.
- They merge into a single beam with no path difference.
Which equation represents the extraordinary ray's amplitude in terms of the incident amplitude and phase difference?
Which equation represents the extraordinary ray's amplitude in terms of the incident amplitude and phase difference?
- x = A sin(𝜃) sin(ωt)
- x = A cos(𝜃) sin(ωt)
- x = A cos(𝜃) sin(ωt + δ) (correct)
- x = A sin(𝜃) sin(ωt + δ)
How is the amplitude of the ordinary ray expressed in the content?
How is the amplitude of the ordinary ray expressed in the content?
- A cos(θ) cos(ωt)
- A cos(𝜃) sin(ωt + δ)
- A sin(𝜃) sin(ωt) (correct)
- A sin(θ) cos(ωt)
What is the relationship between x and y based on the equations provided?
What is the relationship between x and y based on the equations provided?
What effect does the angle θ have on the amplitudes of the ordinary and extraordinary rays?
What effect does the angle θ have on the amplitudes of the ordinary and extraordinary rays?
In the derived equations for x and y, what represents the phase difference?
In the derived equations for x and y, what represents the phase difference?
What characteristic of polarized light is utilized in quarter wave and half wave plates?
What characteristic of polarized light is utilized in quarter wave and half wave plates?
What is denoted as A in the context of the incident plane polarized light?
What is denoted as A in the context of the incident plane polarized light?
What is 'unpolarised light' characterized by?
What is 'unpolarised light' characterized by?
Which method of polarization involves Malus's discovery?
Which method of polarization involves Malus's discovery?
What happens to unpolarised light when it passes through crystal A?
What happens to unpolarised light when it passes through crystal A?
When unpolarised light passes through a series of thin glass plates, what percentage of vibrations typically reflects?
When unpolarised light passes through a series of thin glass plates, what percentage of vibrations typically reflects?
What is indicated by the term 'ordinary ray' in double refraction?
What is indicated by the term 'ordinary ray' in double refraction?
In the context of polarization, what is the 'plane of vibration'?
In the context of polarization, what is the 'plane of vibration'?
Which of the following methods does not lead to polarization?
Which of the following methods does not lead to polarization?
What is the result of polarization by double refraction?
What is the result of polarization by double refraction?
What does the tangent plane CO represent in the context of the O-ray?
What does the tangent plane CO represent in the context of the O-ray?
Which equation represents the relationship between the velocities of the ordinary ray and extraordinary ray?
Which equation represents the relationship between the velocities of the ordinary ray and extraordinary ray?
What occurs when O and E waves coincide at all instants under normal incidence?
What occurs when O and E waves coincide at all instants under normal incidence?
In the case where the optic axis is perpendicular to the refracting surface, what happens during oblique incidence?
In the case where the optic axis is perpendicular to the refracting surface, what happens during oblique incidence?
What direction does the line AP represent in the oblique incidence scenario?
What direction does the line AP represent in the oblique incidence scenario?
How do the O and E rays behave in the case where the optic axis is parallel to the refracting face under oblique incidence?
How do the O and E rays behave in the case where the optic axis is parallel to the refracting face under oblique incidence?
Which plane represents the wave front of the E waves intersecting at point E?
Which plane represents the wave front of the E waves intersecting at point E?
What is indicated by the tangent planes OOl and EEl in normal incidence?
What is indicated by the tangent planes OOl and EEl in normal incidence?
What does a beam passing through a quarter wave plate and subsequently an N-prism indicate if it extinguishes completely twice during rotation?
What does a beam passing through a quarter wave plate and subsequently an N-prism indicate if it extinguishes completely twice during rotation?
What is the characteristic behavior of elliptically polarized light when passed through a rotating N-prism?
What is the characteristic behavior of elliptically polarized light when passed through a rotating N-prism?
What further phase difference do the O-ray and E-ray undergo when elliptically polarized light passes through a quarter wave plate?
What further phase difference do the O-ray and E-ray undergo when elliptically polarized light passes through a quarter wave plate?
What is the purpose of the Babinet's compensator?
What is the purpose of the Babinet's compensator?
What condition should be avoided when light is incident on a QWP to ensure it emerges elliptically polarized?
What condition should be avoided when light is incident on a QWP to ensure it emerges elliptically polarized?
After passing elliptically polarized light through a quarter wave plate, if the beam remains elliptically polarized, what does that imply?
After passing elliptically polarized light through a quarter wave plate, if the beam remains elliptically polarized, what does that imply?
How can you distinguish between circularly polarized light and unpolarized light after passing through a quarter wave plate?
How can you distinguish between circularly polarized light and unpolarized light after passing through a quarter wave plate?
In the context of light polarization, what indicates that a beam is partially polarized when observed through an N-prism?
In the context of light polarization, what indicates that a beam is partially polarized when observed through an N-prism?
What is the least thickness of the quartz plate required for plane polarized light to emerge plane polarized?
What is the least thickness of the quartz plate required for plane polarized light to emerge plane polarized?
How is the thickness of a calcite plate for circularly polarized light calculated?
How is the thickness of a calcite plate for circularly polarized light calculated?
What is the required thickness of a calcite plate to convert plane polarized light into circularly polarized light?
What is the required thickness of a calcite plate to convert plane polarized light into circularly polarized light?
What is the optical path difference produced by a crystal plate if the thickness is 1.5 × 10−5 m?
What is the optical path difference produced by a crystal plate if the thickness is 1.5 × 10−5 m?
For circularly polarized light, what is the formula for calculating the thickness of a plate?
For circularly polarized light, what is the formula for calculating the thickness of a plate?
What is the rotation of the plane of polarization in a substance if the wavelength is 5890 × 10−10 m?
What is the rotation of the plane of polarization in a substance if the wavelength is 5890 × 10−10 m?
Which of the following factors affects the optical path difference in a crystal plate?
Which of the following factors affects the optical path difference in a crystal plate?
What determines whether a light beam will become circularly polarized when passing through a material?
What determines whether a light beam will become circularly polarized when passing through a material?
What is the relationship between phase difference and path difference in a wave?
What is the relationship between phase difference and path difference in a wave?
How is the wavelength calculated from phase difference and path difference?
How is the wavelength calculated from phase difference and path difference?
When given a concentration of a solution and the length of the polarimeter tube, how is the rotation of the plane of polarization calculated?
When given a concentration of a solution and the length of the polarimeter tube, how is the rotation of the plane of polarization calculated?
If a polarimeter tube produces an optical rotation of 240 with a specific rotation of S, what quantity is needed to determine S?
If a polarimeter tube produces an optical rotation of 240 with a specific rotation of S, what quantity is needed to determine S?
What is the phase difference when the path difference is 5890 x 10-10 and the thickness of the material is 2m in given conditions?
What is the phase difference when the path difference is 5890 x 10-10 and the thickness of the material is 2m in given conditions?
In the case of a sugar solution with a concentration of 100 kgm-3, what does the specific rotation of the sugar represent?
In the case of a sugar solution with a concentration of 100 kgm-3, what does the specific rotation of the sugar represent?
When calculating the rotation of the plane of polarization in a polarimeter, what incorrectly describes the process?
When calculating the rotation of the plane of polarization in a polarimeter, what incorrectly describes the process?
If a solution has a specific rotation of 0.750 kg-1m2 and its concentration is given, what information would not change the calculation of the plane rotation?
If a solution has a specific rotation of 0.750 kg-1m2 and its concentration is given, what information would not change the calculation of the plane rotation?
Flashcards
Unpolarized light
Unpolarized light
Light with vibrations in all directions.
Polarized light
Polarized light
Light with vibrations in one direction.
Plane of vibration
Plane of vibration
The plane containing the direction of light wave vibrations.
Plane of polarization
Plane of polarization
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Polarization by reflection
Polarization by reflection
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Polarization by refraction
Polarization by refraction
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Polarization by double refraction
Polarization by double refraction
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Ordinary ray
Ordinary ray
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Extraordinary ray
Extraordinary ray
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Selective Absorption
Selective Absorption
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Transverse nature of light
Transverse nature of light
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Double Refraction (Birefringence)
Double Refraction (Birefringence)
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Ordinary Ray (O-ray)
Ordinary Ray (O-ray)
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Extraordinary Ray (E-ray)
Extraordinary Ray (E-ray)
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Wavefront
Wavefront
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Optic Axis
Optic Axis
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Normal Incidence
Normal Incidence
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Oblique Incidence
Oblique Incidence
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Refractive Index
Refractive Index
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Normal Incidence
Normal Incidence
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Phase Difference (𝛿)
Phase Difference (𝛿)
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Extraordinary Ray Amplitude
Extraordinary Ray Amplitude
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Ordinary Ray Amplitude
Ordinary Ray Amplitude
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Plane Polarized Light
Plane Polarized Light
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Optic Axis
Optic Axis
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Equation for Extraordinary ray (x)
Equation for Extraordinary ray (x)
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Equation for Ordinary ray (y)
Equation for Ordinary ray (y)
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Elliptically polarized light
Elliptically polarized light
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Plane polarized light
Plane polarized light
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Circularly polarized light
Circularly polarized light
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N-prism
N-prism
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Quarter-wave plate
Quarter-wave plate
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Babinet's compensator
Babinet's compensator
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Intensity variation
Intensity variation
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Quartz plate thickness for plane polarized light
Quartz plate thickness for plane polarized light
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Quartz plate thickness for circularly polarized light
Quartz plate thickness for circularly polarized light
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Calcite plate for circularly polarized light
Calcite plate for circularly polarized light
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Optical path difference
Optical path difference
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Plate thickness from path difference
Plate thickness from path difference
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Rotation of polarization
Rotation of polarization
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Phase Difference
Phase Difference
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Path Difference
Path Difference
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Phase Difference Equation
Phase Difference Equation
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Refractive Index Difference
Refractive Index Difference
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Specific Rotation (θ)
Specific Rotation (θ)
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Concentration (C)
Concentration (C)
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Polarimeter Tube Length (l)
Polarimeter Tube Length (l)
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Specific Rotation (S)
Specific Rotation (S)
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Study Notes
Polarization of Light
- Polarization is a property of waves, specifically light waves, indicating the direction of their oscillations
- Light waves exhibit transverse nature, meaning vibrations are perpendicular to the direction of travel
- Unpolarized light has vibrations in all directions, while polarized light has vibrations in a specific direction
- Techniques for obtaining polarized light include reflection, refraction, double refraction, and selective absorption.
Double Refraction in Uniaxial Crystals
- Uniaxial crystals have one optic axis, a line along which no double refraction occurs
- These crystals, like calcite and quartz, transmit light as two rays: ordinary (obeying Snell's law) and extraordinary (not obeying Snell's law)
- The ordinary ray's speed is constant in all directions, while the extraordinary ray's speed varies with the direction relative to the optic axis
- The direction along which no double refraction takes place is called optic axis.
Positive and Negative Crystals
- Positive crystals: The extraordinary ray travels slower than the ordinary ray
- Negative crystals: The extraordinary ray travels faster than the ordinary ray
Principal Refractive Indices
- In uniaxial crystals, two principal refractive indices exist: one for the ordinary ray (μo) and one for the extraordinary ray (μe)
- μo represents the refractive index for the ordinary ray, which is the same in all directions
- μe represents the refractive index for the extraordinary ray, which varies with the direction relative to the optic axis
Plane, Circularly, and Elliptically Polarized Light
- Plane-polarized light vibrates in a single plane
- Circularly-polarized light vibrates in a circle
- Elliptically-polarized light vibrates in an ellipse
Quarter-Wave Plate
- Used to convert plane-polarized light into circularly-polarized light
- Introduces a phase difference of π/2 between ordinary and extraordinary rays
Half-Wave Plate
- Used to convert plane-polarized light into plane-polarized light with the polarization plane rotated
- Introduces a phase difference of π between ordinary and extraordinary rays
Babinet Compensator
- An optical device for producing and analyzing elliptically polarized light
- Allows for the introduction of variable phase differences between ordinary and extraordinary rays
Optical Activity
- Certain substances (like sugar solutions) rotate the plane of polarization of light passing through them
- Dextrorotatory substances rotate the plane of polarization clockwise, while levorotatory substances rotate the plane of polarization counterclockwise
- Fresnal's explanation: optical rotation arises from the different speeds of right-handed and left-handed circularly polarized light
Specific Rotation
- A measure of the degree of optical rotation for a given substance
- Depends on the length and concentration of the solution, the wavelength of light, and temperature
Laurent's Half-shade Polarimeter
- Used to measure the specific rotation of optically active substances
- Uses a half-shade device to compensate for differences in light intensity, enabling precise measurements of rotation.
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