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VLE 2 Optical Instruments I

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Total reflection

Normal

source: Demtröder, Experimentalphysik 2

Criticalangletotalreflectionreflectio

angle:

sin boundary n2

n1

Total reflection at optical thin media

Application: optical light guide

Flexible thin fused silica fibre with refractive index n1 coated by lower refractive index cladding n2<n1.

Cladding Core

Core

Cladding

source: Demtröder, Experimentalphysik 2

51

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany

Structure of a optical fiber

Jacket

Cladding

 

Core

Source: Demtröder, Experimentalphysik 2

 

 

Wave guides of optical fibres are thin and flexible silica fibres (approx. 100 - 500 μm diameter) where the core (approx. 5 - 50 μm diameter) has a higher refraction index than the cladding.

Typical values of the refraction index are nCore = 1.48 and nCladding = 1.46.

52

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany

Critical angle of an optical fiber

Jacket

Total reflection

sin crit n2

n1

crit 90 crit

Cladding Core

Source: Demtröder, Experimentalphysik 2

Numerical aperture of the fiber:

 

 

 

1

 

2

 

 

 

sin

a

n sin

crit

n cos

crit

n

1 sin ²

crit

n

n2

 

n2

n2

n

 

1

1

1

 

1

 

 

 

1

2

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

53

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany

Step index fiber

Refraction index of core and cladding are constant

Refraction index step at the boundary

Source: Demtröder, Experimentalphysik 2

54

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany

Graded index fiber

Parabolic change of refraction index within the core

n1

Advantage:

Less dependency of propagation speed from angle of incident

Source: Demtröder, Experimentalphysik 2

55

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany

Questions

1.How is the human eye constructed? What are the functions of its components?

2.Which kind of amentropia exist and can it be corrected?

3.How is angle magnification defined?

4.What is the difference between magnifying glass and telescope? What kinds of telescopes do you know?

5.How is the magnification of a telescope defined?

6.Explain and draw the optical path of a diascope.

7.How does a pin-hole camera work?

8.What is the principle setup of a zoom objective?

9.How do you compensate chromatic aberration?

10.What kind of optical light guides exist?

56

Prof. M. Schmidt

Institute of Photonic Technologies, Univ. Erlangen, Germany