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Aniseikonia is an ocular condition where there is a significant difference in the perceived size of images. It can occur as an overall difference between the two eyes, or as a difference in a particular meridian. [1] If the ocular image size in both eyes are equal, the condition is known as iseikonia. [2]
The formula for iseikonic lenses (without cylinder) is: Magnification = 1 ( 1 − ( t n ) P ) ⋅ 1 ( 1 − h F ) {\displaystyle {\textrm {Magnification}}={\frac {1}{(1-({\frac {t}{n}})P)}}\cdot {\frac {1}{(1-hF)}}}
The formula for iseikonic lenses would benefit from an example. Though I'm not an expert, I started drafting an example based partly upon general knowledge, and partly upon on default values for an online calculator. However, I ran into trouble trying to typeset the mathematical formula.
Lens focal length from refraction indices 1 f = ( n l e n s n m e d − 1 ) ( 1 r 1 − 1 r 2 ) {\displaystyle {\frac {1}{f}}=\left({\frac {n_{\mathrm {lens} }}{{n}_{\mathrm {med} }}}-1\right)\left({\frac {1}{r_{1}}}-{\frac {1}{r_{2}}}\right)\,\!}
which is the lens equation. Take the Poisson's equation for 3D potential Φ ( ξ → ) = − ∫ d 3 ξ ′ ρ ( ξ → ′ ) | ξ → − ξ → ′ | {\displaystyle \Phi ({\vec {\xi }})=-\int {\frac {d^{3}\xi ^{\prime }\rho ({\vec {\xi }}^{\prime })}{|{\vec {\xi }}-{\vec {\xi }}^{\prime }|}}}
A Luneburg lens (original German Lüneburg lens) is a spherically symmetric gradient-index lens. A typical Luneburg lens's refractive index n decreases radially from the center to the outer surface. They can be made for use with electromagnetic radiation from visible light to radio waves .