| Key
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| a = input angle in air |
b = output angle in air |
an = input angle in medium
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| bn = output angle in medium |
f0 = spatial frequency = 1/d |
λ = wavelength
|
| n = index of refraction |
Δn = index modulation |
D.E. = diffraction efficiency
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| φ = The half angle |
d = grating period |
T = thickness of medium
|
| ρ = regime factor |
Q = quality factor |
B = fringe tilt angle
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| 0, +1, -1, +2, -2 = diffraction orders possible |
f = focal length |
f# = f number
|
| Grating equation, transmission
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| f0λ = sin a + sin b
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| D.E. ~ sin2 [Δn T / (λ cos φ)] < 99.9%
|
| Plane grating, slanted fringes, +3 order is TIR, Δn is asymmetric
|
|
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Delta \lambda \simeq \frac{\lambda d}{T \tan{\phi}} \simeq \frac{\lambda \pi \Delta n}{8 n} \simeq \lambda \arcsin{\left(\frac{1-Q}{1+Q}\right)}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_n = \arcsin{\left(\frac{\sin{a}}{n}\right)}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b_n = \arcsin{\left(\frac{\sin{b}}{n}\right)}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B = \frac{b_n - a_n}{2}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{Bragg ratio} \beta = \frac{T \lambda}{d^2}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \phi \simeq \arcsin{n \sin{\left(\frac{a_n + b_n}{2}\right)}}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{Number of superimposed recordings} \simeq \frac{n T}{\lambda}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{Resolving Power} \frac{\lambda}{\Delta \lambda} \simeq \text{number of fringes}}
|
| Grating equation, reflection
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| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \displaystyle f_0 \lambda = n (\cos{a} + \cos{b})}
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| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle D.E. \simeq \tanh^2{\left(\Delta n T / \left(\lambda \cos{\phi}\right)\right)} < 99.9998%}
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Uniform tilted reflector, also has weak transmission grating at surface.
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- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Delta \lambda \simeq \frac{\lambda d}{T}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Delta \theta \simeq \frac{d}{T}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \displaystyle 0 < \Delta n < 0.27}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \displaystyle 3 u < T < 50 u}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rho = Q \frac{\lambda^2}{d^2 n \Delta n} \simeq \frac{2 \pi \lambda T}{d^2 n} \simeq \frac{2 T}{d^2}}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{\rho^2} \propto \text{power lost to higher orders}}
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Last modified on 9/29/97
