Course: Technology on Photonics

Cline: 656.3 nm

Dline:589.6 nm

Fline:486.1 nm

If we combine a crown glass (=1.5150,=1.5175,=1.5235)

and a flint glass (=1.6176,=1.6225,=1.6349)

as follows:

IF We expect to remove the chromatic aberration, please calculate the value ofΘ.

Sol:

For the crown glass，the deviation of C line(-1)×10

The deviation of F line(-1)×10

Dspersion:(-)×10 =0.085

For the flint glass，the deviation of C line(-1)×Θ

The deviation of F line(-1)×Θ

Dspersion:(-)×Θ=0.0173Θ

remove the chromatic aberration:

0.0173Θ=0.085

Θ=4.913

Please discuss the stability of the following optical resonator:

SOL:

g1=(1+d/R1)=1+12/(-10)=-0.2

g2=(1+d/R2)= 1+12/15=1.8

g1g2=-0.36

unstable

Please derive the relationship of a Fizeau Interferometry(Newton's rings):

Xm: the distance of the mth ring

SOL:

0

d…0

so

the gap of the mth ring dm

dm = m �� /2

= m /2

The wavelength of a He Ne laser: 632.8nm

the waist: W0= 2.2 mm,

Please calculate the diameter of the laser light after proceeding 3 00 M.

SOL:

W0 = 2.2 mm

wavelength=632.8nm

divergent angle =2/( W0 )

=0.000183

The diameter:

2.2 mm + 0.000183 x30000/2 = 2.75+2.2=4.95 mm

A lens as follows:

Please calculate the focal length:

SOL:

A MATLAB program:

m1=[1 0

-(1.54-1)/(1.54*13.5) 1/1.54];

m2=[1 27

0 1];

m3=[1 0

(1-1.54)/(1*13.5) 1.54/1];

mt=m3*m2*m1;

f=-1/mt(2,1)

so we obtain:

f = 19.2500