exta - Erbion

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Martin P. Aalund

HW 1

Optomechanics

Problem 1E). Taken from Hoy Master Optics Glass.xls and Glass data sheet

http://www.hoyaoptics.com/

Description

Refractive Index to five decimal places

Abbe Number

Constants of Dispersion formula n

2

= A

0

+ A

1

λ

2

+ A

2

λ

-2

+ A

3

λ

-4

+ A

4

λ

Relative Partial Dispersions

Melting Frequency

Production Method

Price

Symbol n t

, n s

,…….n

i

V d

, V e

, n f

-n c

, n f

-n c’

A

A

0

1

, A

0pow

,….. A

(∆n/∆T)rel.

(∆n/∆T)abs.

B d

λ80/λ5

T

MA, A, B, C

DP, RP

Numeric

,

5pow

P

A’,t

,

P r,A’

,…P’

I,h

Deviation of Relative Partial Dispersions

∆P from the "Normal Line"

Chemical properties

∆P x,y

DW, DA, T blue

D

NaOH

, D

STPP

,

D

0

Thermal Properties

Mechanical Properties

Electrical Properties

-6

+ A

5

λ

-8

Temperature Coefficients of Refractive

Index (10-6/K at 632.8nm)

Stress Optical Coefficient

Specific Gravity

Bubbles and Inclusion

Color

Internal Transmittance λ (nm)

Meaning

Index at individual wavelengths from 1014nm to 365.01nm

Measure of dispersion for different frequency ranges.

Coefficients for a polynomial that will allow you to calculate refractive index at a given wavelength to +/- 5x 10-6 nm over a range of 365nm to 1,014nm

The relative partial dispersion P x,y and the alternate relative partial dispersion P’ x,y are defined by the following equation:

P x,y

=(n x

-n y

)/(n

F

-n c

) and P’ x,y

=(n x

-n y

)/(n F’ -n c’ ). X and Y are the standard spectal lina assignments. When plotted against

Abbe number to compare glasses.

Values referenced to a straight line defined by the Px,Y values found for the glass types C7 and F2

DW: is dimming: Clouding of glass due to humidity causing white spots.

DA: Acid durability

T blue

: Adjustment to DA test due to inaccuracy in test modeling ION exchange process.

D

NaOH

: Latent scratch resistivity Hydroxyl ion

D

STPP

: Latent Scratch resistivity to polymerized phosphoric ions

D

0

: intrinsic chemical durability

Tg: Transformation temperature. Glass to liquid transition temperature.

Ts: Sag Temperature point where thermal expansion stops increasing and starts decreasing.

T

10 x : Temperature required to relieve internal stress after a given time, anneal or soften.



: Coefficient of Linear Thermal Expansion



: Thermal conductivity

C

P

: Specific heat

H k

: Knoop Hardness, resistance to surface penetration

FA: Abrasion Factor, measure for lapping

E: Young’s Modulus of elasticity

G: Shear Modulus

 : Poisson’s Ratio

 b :Flexural Strength (Modulus of Rupture)

C o

: Capacitance

 v

: Volume resistivity at 20 and 200 C.

Used to adjust refractive index due to temperature changes.

Ratio of density of glass to water

Total cross sectional area of bubbles mm^2 in 100ml of glass

L Signifies special glass that have less coloration

Measure of transmittance at different thickness and wavelengths

MA highest, A Higher, B Low, C Very Low

Direct vs reheat press

Relative Price comparison

Problem 2) Rules of Thumb

Name of rule

The rule of Thumb

When it is Used

Limitation

Name of rule

The rule of Thumb

When it is Used

Limitation

Name of rule

The rule of Thumb

When it is Used

Limitation

Index of Refraction

Index is never less than 1

Always

Does not apply to some new Metamaterials

Color of light

Color of light is determined by the

EM wave’s frequency.

Always when describing aspects of systems that are affected by the color of EM waves.

None , Optics often used wavelength but it is not a constant when n changes along the path

Geometric optics

Can ignore wave property of light treat as particle (i.e. ray trace)

λ << feature size

When high accuracy is required

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