Lenses: Difference between revisions
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==The Main Idea== | ==The Main Idea== | ||
Index of refraction depends on the wavelength. Thus, light of different wavelengths is bent, or deflected, by different amounts as it passes through a | Index of refraction depends on the wavelength. Thus, light of different wavelengths is bent, or deflected, by different amounts as it passes through a lens. The shape of a lens, either concave or convex, also play a role in the deflection pattern of light. [[File:Converging.png|200px|thumb|center|Converging]] [[File:diverging.png|200px|thumb|center|Diverging]] The images above show that how these two prisms are placed together determines the behavior of the light rays. Placed base to base, the prisms represent what is called a "converging" lens, through which incoming light rays come together, or converge. Placed tip to tip, the prisms represent a "diverging" lens, through which incoming light rays "diverge". The angle at which light rays converge or diverge is called the deflection angle. Deflection angles for thin lenses will be modeled mathematically in the following section. Thin lenses are lenses where the y position of a light ray does not change very much as the light ray travels through it. | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
Revision as of 20:54, 24 November 2015
Lenses are found in a huge array of optical instruments, ranging from a simple magnifying glass to the eye to a camera’s zoom lens. Law of refraction is used to explore the properties of lenses and how they form images.
The Main Idea
Index of refraction depends on the wavelength. Thus, light of different wavelengths is bent, or deflected, by different amounts as it passes through a lens. The shape of a lens, either concave or convex, also play a role in the deflection pattern of light.
The images above show that how these two prisms are placed together determines the behavior of the light rays. Placed base to base, the prisms represent what is called a "converging" lens, through which incoming light rays come together, or converge. Placed tip to tip, the prisms represent a "diverging" lens, through which incoming light rays "diverge". The angle at which light rays converge or diverge is called the deflection angle. Deflection angles for thin lenses will be modeled mathematically in the following section. Thin lenses are lenses where the y position of a light ray does not change very much as the light ray travels through it.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
Examples
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