Resolving Power: Difference between revisions

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==The Main Idea==
==The Main Idea==


State, in your own words, the main idea for this topic
Resolving power is the measure of an optical system's ability to differentiate between the images of objects close together or separate similar wavelengths of radiation and therefore display fine detail. In an ideal situation, this quantity is dependent on two components of the radiation, the aperture (the space through which light passes in an optical system) and wavelength (the distance between crests in a wave). However in real life applications the resolving power is limited by the effects of diffraction, the effect on a wave when it encounters an obstacle.
Electric Field of Capacitor


===A Mathematical Model===
===The Rayleigh Criterion for Minimal Image Resolution===


What are the mathematical equations that allow us to model this topic. For example <math>{\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.
Lord Rayleigh (John William Strutt) determined that, given two point light sources, the center of the image of the first source will fall on the first diffraction ring of the second source. Because of this, there is a minimum angle (in radians) between the two sources (as viewed by the system) for the two sources to be at least marginally resolvable (distinguishable).
 
''Angular limit of Resolution'' <math> = \frac{1.22λ}{D} </math>


===A Computational Model===
===A Computational Model===

Revision as of 18:50, 6 December 2015

Claimed by estaniforth3

The Main Idea

Resolving power is the measure of an optical system's ability to differentiate between the images of objects close together or separate similar wavelengths of radiation and therefore display fine detail. In an ideal situation, this quantity is dependent on two components of the radiation, the aperture (the space through which light passes in an optical system) and wavelength (the distance between crests in a wave). However in real life applications the resolving power is limited by the effects of diffraction, the effect on a wave when it encounters an obstacle.

The Rayleigh Criterion for Minimal Image Resolution

Lord Rayleigh (John William Strutt) determined that, given two point light sources, the center of the image of the first source will fall on the first diffraction ring of the second source. Because of this, there is a minimum angle (in radians) between the two sources (as viewed by the system) for the two sources to be at least marginally resolvable (distinguishable).

Angular limit of Resolution [math]\displaystyle{ = \frac{1.22λ}{D} }[/math]

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

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