Formulas Flashcards by Megan G | Brainscape

Q

Paraxial Vergence

A

L’ = L + F

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Q

Linear Magnification

A

h’ = h x m = h x L/L’

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Q

Umbra (u + p)

A

u = h x X / y

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Q

Penumbra

A

p = s (x - y) / y

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Q

Prentice’s Rule

A

P = cF

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Q

Snell’s Law

A

n sin i = n’ sin i’

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Q

Critical Angle

A

Sin i_c = 1/n

(given i_c) =

n = 1/sin i_c

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Q

Relative Curvature

A

RC = n_old - 1 / n_new-1

% = (1-RC) x 100

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Q

Thin Lens Theory

A

F = F1 + F2

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Q

Velocity/wavelength/frequency

A

v = f x w

f = v / w

w = v / f

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Q

Accurate Sag

A

s = r - v(r² - y²)

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Q

Approx Sag

A

s = y² x F/ 2000 (n - 1)

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Q

Power effectivity

A

F eff = F/ 1 - dF

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Q

n’ (given F, r and n)

A

n’ = F x r +n

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Q

Ray Trace Steps (object & image)

A

f = -n / F

L = n / l

L’ = L + F

l’ = n’ / L’

h’ = h x m = h x L/L’

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Q

Lateral Displacement

A

t x sin (i₁ - i₁’) / cos i₁’

Q

Horizontal Displacement

A

(tan i₁ x t) - (tan i₁’ x t)

Q

Real and Apparent Depth

A

t’/t = n’/n

rearranged:

t₁’ = n’ x t₁ / n₁

Q

Illuminance

A

E = i/ d²

Q

Illiminance at an angle

A

E = i / d² x cos Ø

V d²+ d₁²

^then

d₁/ answer = Ø

Q

Centre Thickness

A

Plus lens:

t = e + s

Minus lens:

e = t + s

Q

Surface Powers

A

F = n’ - n / r

Q

Transverse Chromatic Aberration

A

TCA = c F / V

Q

Pinhole Camera

A

h’/l’ = h/l

rearranged:

h’ = h x l’ / l

Q

Surfacing Tools

A

F₁(t) = n (t) -1 / r₁

_{<span>r</span>1}= n (l) -1 / F₁(l)

t = tool

l = lens

Q

Relative Refractive Index

A

Velocity of light in medium 1 / Velocity of light in medium 2

Q

Absolute Refractive Index

A

Velocity of light in vacuum / Velocity of light in medium

Q

Angle of Deviation

A

d = i - i’

Q

Approx cyl

A

Q

A