Light Scattering - Revision history

Zhaoxian Zhang at 05:21, 25 July 2022

2022-07-25T05:21:44Z

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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[https://en.wikipedia.org/wiki/Rayleigh_scattering]. When the particle size is larger, the scattering event is characterized by Mie theory[https://en.wikipedia.org/wiki/Mie_scattering] or discrete dipole approximation[https://en.wikipedia.org/wiki/Discrete_dipole_approximation] by solving Maxwell's equations.		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[https://en.wikipedia.org/wiki/Rayleigh_scattering]. This is a from of elastic scattering where scattered light does not lose energy. In Rayleigh scattering, the particles are considered to be point dipoles, and scatter light according to molecular polarizability.

			When the particle size is larger, the scattering event is more complicated and characterized by Mie theory[https://en.wikipedia.org/wiki/Mie_scattering] which have analytical solutions for scattering event with spherical scatterers, or discrete dipole approximation[https://en.wikipedia.org/wiki/Discrete_dipole_approximation] which applies to more complicated shapes, both are based on solving Maxwell's equations.

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:16, 25 July 2022

2022-07-25T05:16:17Z

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	https://en.wikipedia.org/wiki/Light_scattering		https://en.wikipedia.org/wiki/Light_scattering

	[[Category:~~Photons~~]]		[[Category:Radiation]]

Zhaoxian Zhang at 05:15, 25 July 2022

2022-07-25T05:15:29Z

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	https://en.wikipedia.org/wiki/Light_scattering		https://en.wikipedia.org/wiki/Light_scattering

	[[Category:~~Radiation~~]]		[[Category:Photons]]

Zhaoxian Zhang at 05:13, 25 July 2022

2022-07-25T05:13:35Z

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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[https://en.wikipedia.org/wiki/Rayleigh_scattering]. When the particle size is larger, the scattering event is characterized by Mie theory[~~link~~] or discrete dipole approximation[~~link~~] by solving Maxwell's equations.		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[https://en.wikipedia.org/wiki/Rayleigh_scattering]. When the particle size is larger, the scattering event is characterized by Mie theory[https://en.wikipedia.org/wiki/Mie_scattering] or discrete dipole approximation[https://en.wikipedia.org/wiki/Discrete_dipole_approximation] by solving Maxwell's equations.

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:12, 25 July 2022

2022-07-25T05:12:20Z

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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[~~link~~]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's equations]].		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[https://en.wikipedia.org/wiki/Rayleigh_scattering]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving Maxwell's equations.

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:09, 25 July 2022

2022-07-25T05:09:53Z

← Older revision		Revision as of 01:09, 25 July 2022
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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's ~~equation~~]].		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's equations]].

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:09, 25 July 2022

2022-07-25T05:09:07Z

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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's ~~equations~~]].		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's equation]].

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:08, 25 July 2022

2022-07-25T05:08:52Z

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	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving Maxwell equations~~[link~~].		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving [[Maxwell's equations]].

	==Computational Models of Scattering==		==Computational Models of Scattering==

Zhaoxian Zhang at 05:06, 25 July 2022

2022-07-25T05:06:52Z

← Older revision		Revision as of 01:06, 25 July 2022
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	'''Claimed by Zhaoxian Zhang (Summer 2022)'''		'''Claimed by Zhaoxian Zhang (Summer 2022)'''

	Light scattering is the change in momentum and energy of light when it passes through an object. Light scattering occurs because light, as a form of ~~electromagnetic wave~~[~~link~~], interacts with charge. This often happens with light interacting with [[Electric Dipole]]. dusts in the air, molecules in the air, particles in solutions, water droplets, and many other common things can form dipoles. These interactions lead to everyday phenomena like whiteness of cloud or the redness of sunset, and even governs the color of the sky.		Light scattering is the change in momentum and energy of light when it passes through an object. Light scattering occurs because light, as a form of [[Electromagnetic Radiation]], interacts with charge. This often happens with light interacting with [[Electric Dipole]]. dusts in the air, molecules in the air, particles in solutions, water droplets, and many other common things can form dipoles. These interactions lead to everyday phenomena like whiteness of cloud or the redness of sunset, and even governs the color of the sky.

	[[File:Blue_sky.PNG]]		[[File:Blue_sky.PNG]]

Zhaoxian Zhang at 05:05, 25 July 2022

2022-07-25T05:05:11Z

← Older revision		Revision as of 01:05, 25 July 2022
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	'''Claimed by Zhaoxian Zhang (Summer 2022)'''		'''Claimed by Zhaoxian Zhang (Summer 2022)'''

	Light scattering is the change in momentum and energy of light when it passes through an object. Light scattering occurs because light, as a form of electromagnetic wave[link], interacts with charge. This often happens with light interacting with [[~~electric dipole~~]]. dusts in the air, molecules in the air, particles in solutions, water droplets, and many other common things can form dipoles. These interactions lead to everyday phenomena like whiteness of cloud or the redness of sunset, and even governs the color of the sky.		Light scattering is the change in momentum and energy of light when it passes through an object. Light scattering occurs because light, as a form of electromagnetic wave[link], interacts with charge. This often happens with light interacting with [[Electric Dipole]]. dusts in the air, molecules in the air, particles in solutions, water droplets, and many other common things can form dipoles. These interactions lead to everyday phenomena like whiteness of cloud or the redness of sunset, and even governs the color of the sky.

	[[File:Blue_sky.PNG]]		[[File:Blue_sky.PNG]]

	Light scattering can be characterized into elastic or inelastic scattering, depending on how energy is exchanged during the interaction. In elastic scattering, the scattered particle conserves its original kinetic energy.		Light scattering can be characterized into elastic or inelastic scattering, depending on how energy is exchanged during the interaction. In elastic scattering, the scattered particle conserves its original kinetic energy.

	==Mathematical Models of Scattering==		==Mathematical Models of Scattering==
	In modeling scattering effects, a dimensionless parameter <math>x</math> is often used to characterize the size of the scattering particle in relation to the scattered wavelength. It is calculated with the following relation:		In modeling scattering effects, a dimensionless parameter <math>x</math> is often used to characterize the size of the scattering particle in relation to the scattered wavelength. It is calculated with the following relation:

	<math>		<math>
	x = \frac{2 \pi r}{\lambda}		x = \frac{2 \pi r}{\lambda}
	</math>		</math>

	When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving Maxwell equations[link].		When <math>x<<1</math>, or when the scattering particle is much smaller than the wavelength of scattered light, the scattering event can be characterized by Rayleigh Scattering[link]. When the particle size is larger, the scattering event is characterized by Mie theory[link] or discrete dipole approximation[link] by solving Maxwell equations[link].

	==Computational Models of Scattering==		==Computational Models of Scattering==

	==Examples of Scattering==		==Examples of Scattering==