| E | = ε μ | H | {\displaystyle \left|\mathbf {E} \right|={\sqrt {\varepsilon \over \mu }}\left|\mathbf {H} \right|\,\!}

Lens equation

These ratios are sometimes also used, following simply from other definitions of refractive index, wave phase velocity, and the luminal speed equation:

Lensformula

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Convexlenssimulation

2012331 — Focal length is directly involved with magnification as you indicated. A scope with a Fl twice that of another, will double the magnification for a given ...

Φ = ∬ E ν d ν ( e ^ ∠ ⋅ d A ) {\displaystyle \Phi =\iint E_{\nu }\mathrm {d} \nu \left(\mathbf {\hat {e}} _{\angle }\cdot \mathrm {d} \mathbf {A} \right)}

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1 x 1 + 1 x 2 = 1 f = 2 r {\displaystyle {\frac {1}{x_{1}}}+{\frac {1}{x_{2}}}={\frac {1}{f}}={\frac {2}{r}}\,\!}

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Converginglens

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)\,\!}

Opticallens

In astrophysics, L is used for luminosity (energy per unit time, equivalent to power) and F is used for energy flux (energy per unit time per unit area, equivalent to intensity in terms of area, not solid angle). They are not new quantities, simply different names.

At a spherical surface: I = P 0 Ω | r | 2 {\displaystyle I={\frac {P_{0}}{\Omega \left|r\right|^{2}}}\,\!}

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Magnification oflensformula

Φ = ∭ L ν d ν ( e ^ ∠ ⋅ d A ) d Ω {\displaystyle \Phi =\iiint L_{\nu }\mathrm {d} \nu \left(\mathbf {\hat {e}} _{\angle }\cdot \mathrm {d} \mathbf {A} \right)\mathrm {d} \Omega \,\!}

Lensmaker formula

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A ( r ) ∝ ∬ a p e r t u r e E i n c ( r ′ )   e i k | r − r ′ | 4 π | r − r ′ | d x ′ d y ′ {\displaystyle A\left(\mathbf {r} \right)\propto \iint _{\mathrm {aperture} }E_{\mathrm {inc} }\left(\mathbf {r} '\right)~{\frac {e^{ik\left|\mathbf {r} -\mathbf {r} '\right|}}{4\pi \left|\mathbf {r} -\mathbf {r} '\right|}}\mathrm {d} x'\mathrm {d} y'}

Image distance in a spherical mirror n 1 x 1 + n 2 x 2 = ( n 2 − n 1 ) r {\displaystyle {\frac {n_{1}}{x_{1}}}+{\frac {n_{2}}{x_{2}}}={\frac {\left(n_{2}-n_{1}\right)}{r}}\,\!}

n 1 n 2 = v 2 v 1 = λ 2 λ 1 = ε 1 μ 1 ε 2 μ 2 {\displaystyle {\frac {n_{1}}{n_{2}}}={\frac {v_{2}}{v_{1}}}={\frac {\lambda _{2}}{\lambda _{1}}}={\sqrt {\frac {\varepsilon _{1}\mu _{1}}{\varepsilon _{2}\mu _{2}}}}\,\!}

Lensmakers formula

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This article summarizes equations used in optics, including geometric optics, physical optics, radiometry, diffraction, and interferometry.

Far-field (Fraunhofer) A ( r ) ∝ e i k r 4 π r ∬ a p e r t u r e E i n c ( r ′ ) e − i k [ sin ⁡ θ ( cos ⁡ ϕ x ′ + sin ⁡ ϕ y ′ ) ] d x ′ d y ′ {\displaystyle A\left(\mathbf {r} \right)\propto {\frac {e^{ikr}}{4\pi r}}\iint _{\mathrm {aperture} }E_{\mathrm {inc} }\left(\mathbf {r} '\right)e^{-ik\left[\sin \theta \left(\cos \phi x'+\sin \phi y'\right)\right]}\mathrm {d} x'\mathrm {d} y'}

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La fase del Cutting, come abbiamo precedentemente indicato, è il periodo in cui l'obiettivo è quello di perdere la maggior quantità di grasso corporeo, ...

The AR Coating of an optical system is a dielectric thin layer typically applied to transmissive optics in order to reduce the reflectance of the light ...