Access to eBooks is limited to institutions that have purchased or currently subscribe to the SPIE eBooks program. eBooks are not available via an individual subscription. SPIE books (print and digital) may be purchased individually on SPIE.Org.

Contact your librarian to recommend SPIE eBooks for your organization.
Ebook Topic:
Back Matter
Abstract
This back matter contains the bibliography, index and author's biography.

Equation Summary

General equations (index, refraction, mirrors, etc.):

OPL=ndρ=(n2n1n2+n1)2n1sinθ1=n2sinθ2sinθC=n2n1τ=tnω=nuγ=2αd(n1n)t=tτ

Power and focal length:

ϕ=(nn)C=(nn)RfE1ϕ=fFn=fRn

Newtonian equations (z, z′ measured from F, F′):

zn=fEmzn=mfE(zn)(zn)=fE2

Gaussian equations and imaging (z, z′ measured from P, P′):

zn=(1m)mfEzn=(1m)fEm=z/nz/n=ωωnz=nz+1fEΔz/nΔz/n=m1m2m¯=(nn)m2zPN=zPN=fF+fRmN=fFfR=nn

Gaussian reduction:

ϕ=ϕ1+ϕ2ϕ1ϕ2τdn=ϕ2ϕτdn=ϕ1ϕτBFD=fR+dFFD=fF+d

Thin lens:

ϕ=(n1)(C1C2)L=zz=(1m)2mfE

Afocal systems:

m=fE2fE1=f2f1m¯=nnm2Δz/nΔz/n=m2

Paraxial raytrace:

nu=nuyϕω=ωyϕy=y+uty=y+ωτ

FOV, stops and pupils:

f102_1.jpg

Vignetting:

Un:Half:Fully:a|y|+|y¯|a=|y¯|a|y¯||y|a|y|a|y|

Depth of focus and hyperfocal distance:

DOF±Bf/#W±B2NALH=fDBLNEARLH2

Magnifiers, telescopes and microscopes:

MP=250mmfMP=1m=fOBJfEYEmV=mOBJMPEYE

Dispersion:

v=V=nd1nFnCP=Pd,c=ndncnFnCn=sin[(αδMIN)/2]sin(α/2)

Thin prisms:

δ(n1)αΔ=δνɛ=PΔ=Pδνα1δ=(1ν2ν1)(ν1nd11)α2δ=(1ν2ν1)(ν2nd21)ɛδ=(P2P1ν2ν1)=ΔPΔν

Chromatic aberration and achromats:

δff=δϕϕ=1νTACH=rPνϕ1ϕ=ν1ν1ν2ϕ2ϕ=ν2ν1ν2δϕdCϕ=δfcdf=ΔPΔν

Surface sag:

s(r)r22Rs(r)=Cr21+(1(1+κ)C2r2)1/2

Radiometry and radiative transfer:

Ω=2π(1cosθ0)Ωπr02d2πθ02L=Mπ=ρEπΦ=LAΩE=πL4(1m)2(f/#)2=πL4(f/#W)2=πL(NA)2H=EΔT

Diffraction limited systems:

D=2.44λf/#WDf/#Winμm(λ=0.5μm)δz=±2λ(f/#)2δz±(f/#)2inμm(λ=0.5μm)
TOPIC

SHARE
Back to Top