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Questions and Answers
What is the total absorption coefficient of a material composed of multiple chromophores dependent on?
What is the total absorption coefficient of a material composed of multiple chromophores dependent on?
In the context of optical absorption, which term is used to describe the probability that a photon will be absorbed during its travel?
In the context of optical absorption, which term is used to describe the probability that a photon will be absorbed during its travel?
What phenomenon describes the decrease in light intensity as it travels through an absorbing medium?
What phenomenon describes the decrease in light intensity as it travels through an absorbing medium?
What type of scattering occurs when the energy of scattered light remains the same as that of incident light?
What type of scattering occurs when the energy of scattered light remains the same as that of incident light?
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How can concentrations of chromophores in a mixture be determined using spectrophotometry?
How can concentrations of chromophores in a mixture be determined using spectrophotometry?
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What can significantly affect the optical properties of biological tissue?
What can significantly affect the optical properties of biological tissue?
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Which of the following accurately describes inelastic scattering?
Which of the following accurately describes inelastic scattering?
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What is the measurement technique known for evaluating optical absorption spectra?
What is the measurement technique known for evaluating optical absorption spectra?
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What is NOT a characteristic of elastic scattering?
What is NOT a characteristic of elastic scattering?
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What can be implied about a material that has a high total absorption coefficient?
What can be implied about a material that has a high total absorption coefficient?
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What phenomenon causes light to appear to move with a different speed when entering a medium with a different refractive index?
What phenomenon causes light to appear to move with a different speed when entering a medium with a different refractive index?
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What type of scattering is predominant in biological tissues at visible and NIR wavelengths?
What type of scattering is predominant in biological tissues at visible and NIR wavelengths?
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When a photon is reradiated after scattering, how is its energy related to the incoming photon?
When a photon is reradiated after scattering, how is its energy related to the incoming photon?
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What factor causes light to bend when it enters a medium with a different refractive index?
What factor causes light to bend when it enters a medium with a different refractive index?
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Why does the emitted electromagnetic wave during molecular scattering occur?
Why does the emitted electromagnetic wave during molecular scattering occur?
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What effect does the accumulation of scattered waves have on the original incoming wave?
What effect does the accumulation of scattered waves have on the original incoming wave?
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What property of light is altered when it travels through a medium with a different refractive index?
What property of light is altered when it travels through a medium with a different refractive index?
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In the context of scattering, what mainly affects the speed at which light appears to travel in glass compared to in a vacuum?
In the context of scattering, what mainly affects the speed at which light appears to travel in glass compared to in a vacuum?
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What causes light to refract when transitioning between two mediums?
What causes light to refract when transitioning between two mediums?
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What is the result of molecular resonance during scattering?
What is the result of molecular resonance during scattering?
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What determines the strength of scattering in relation to refractive index fluctuations?
What determines the strength of scattering in relation to refractive index fluctuations?
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How is the reduced scattering coefficient (µs') mathematically defined?
How is the reduced scattering coefficient (µs') mathematically defined?
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What does the scattering coefficient (µs) describe in scattering events?
What does the scattering coefficient (µs) describe in scattering events?
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What does the absorption cross-section represent?
What does the absorption cross-section represent?
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In a collimated beam of light, what happens to the light as it travels through a non-absorbing medium?
In a collimated beam of light, what happens to the light as it travels through a non-absorbing medium?
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What is the mean free path in the context of scattering theory?
What is the mean free path in the context of scattering theory?
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How is the molar absorption coefficient calculated?
How is the molar absorption coefficient calculated?
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What is the purpose of the reduced scattering coefficient (µs')?
What is the purpose of the reduced scattering coefficient (µs')?
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What is the unit of measurement for the absorption cross-section?
What is the unit of measurement for the absorption cross-section?
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Why is the absorption coefficient of a single molecule not sufficient in tissue optics?
Why is the absorption coefficient of a single molecule not sufficient in tissue optics?
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Which factor contributes to macroscopic scattering?
Which factor contributes to macroscopic scattering?
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What does the term 'optical scattering' relate to in the context of photonics?
What does the term 'optical scattering' relate to in the context of photonics?
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What characterizes the exponential decay of intensity in a scattered beam of light?
What characterizes the exponential decay of intensity in a scattered beam of light?
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The scattering process affects light direction in which manner?
The scattering process affects light direction in which manner?
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What role does Avogadro's number play in determining the molar absorption coefficient?
What role does Avogadro's number play in determining the molar absorption coefficient?
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In the random walk of photons, what does each step size represent?
In the random walk of photons, what does each step size represent?
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Which statement about the absorption coefficient as a probability is accurate?
Which statement about the absorption coefficient as a probability is accurate?
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What is the primary focus of spectrophotometry in this context?
What is the primary focus of spectrophotometry in this context?
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How does transmittance relate to absorbance in spectroscopic measurements?
How does transmittance relate to absorbance in spectroscopic measurements?
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What is the significance of the scattering coefficient in optical phenomena?
What is the significance of the scattering coefficient in optical phenomena?
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Study Notes
Absorption and Scattering
- The third session of the course covers absorption and scattering topics.
- Today's session content includes: absorption coefficient, absorption cross-section, molar absorption coefficient, absorption coefficient as a probability, spectrophotometry including measuring absorption spectra, transmittance and absorbance, and spectroscopic inversion.
- Optical scattering topics discussed are: optical scattering, the physical basis of scattering, molecular scattering refractive index, and scattering coefficient.
- Absorption coefficient is often given in terms of absorption cross-section.
- Absorption cross-section is the ratio of the power absorbed by the molecule and the incident Power per unit of area.
Absorption Coefficient
- Absorption coefficient is a property for describing the amount of a single molecule absorbing light.
- In tissue optics, it is necessary to describe the absorption of bulk matter consisting of many molecules.
- Molar absorption coefficient is obtained by summing up the absorption cross-sections of the molecules in one mole of substance.
- The mathematical representation of the molar absorption coefficient is α(ν) = ΝΑσ(ν), where ΝΑ = Avogadro's constant, and σ(ν) = absorption cross section.
Absorption Coefficient as a Probability
- The probability of a photon being absorbed while travelling a distance δz is μaδz where μa is the absorption coefficient.
- A plane wave of continuous light irradiating a purely absorbing, non-scattering medium also contributes to this exponential decay.
- Beer's Law describes the relationship: Φ = Φ0 exp(-μaZ) where Φ0 is the initial intensity of light
- Spectrophotometry is used to measure optical absorption spectra
- The intensity will decrease with propagation direction as light is absorbed.
Measuring Absorption Spectra
- The measurement of optical absorption spectra is spectrophotometry.
- Spectrophotometry equation is: IL(λ) = I0(λ) exp(-µa(λ)d) which describes the detected intensity and gives us the coefficient μa(λ) and α(λ).
Spectroscopic Inversion
- Given a sample with known chromophores, concentrations of each constituent can be estimated via measurements at different wavelengths.
- A sample containing multiple chromophores a, b, and c with their respective extinction coefficients εa(λ), εb(λ), εc(λ) can be analyzed.
- Measurements of absorbance are taken with a spectrophotometer at wavelengths λ1, λ2, λ3.
Optical Scattering
- Scattering is often the dominating characteristic in biological tissue.
- Scattering can be categorized as elastic, where energy is conserved and the scattered light has the same frequency and inelastic, where energy is lost or gained.
- Elastic scattering is significant in biological tissues with visible and near-infrared wavelengths.
- The scattering mechanism works because the oscillating dipole (a moving charge) radiates an electromagnetic wave.
- A photon of equal energy to the incoming photon will be reradiated in a random direction.
Refractive Index
- Light travels at a specific velocity in vacuum, and the speed in the glass is c/v.
- The refractive index is related to why light travels at slower speeds in a glass medium.
Scattering Coefficient
- The scattering coefficient (μs) describes the mean free path between scattering events and relates to tissue scattering properties.
- The reduced scattering coefficient µs' incorporates scattering coefficient μs and anisotropy g. μs' = μs(1−g).
- The mean free path refers to the average distance travelled by a moving particle (atom, molecule, or photon) between impacts.
Other Important Concepts
- Tissue optical properties can be analyzed with reduced scattering coefficient.
- A g-factor measures forward-peaked light distribution.
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Description
This quiz covers crucial concepts in optics, focusing on absorption and scattering. It includes detailed discussions on the absorption coefficient, molar absorption coefficient, and various scattering properties. Test your understanding of how these principles apply in spectrophotometry and tissue optics.