Interference due to two slits

If two monochromatic waves of the same frequency are combined in the Young scheme, then it is possible to approximate the optical travel difference between the two waves using the position in the interference picture, the distance between the slits and the distance to the picture.

Conditions:

  1. Two monochromatic waves of the same frequency.

  2. \(d \ll l, x \ll l\), see symbols below for reference;

  3. The slits should be positioned symmetrically relative to the axis passing through the radiation source, while this axis of symmetry should be perpendicular to the plane on which the interference pattern will be.

Links:

  1. Wikipedia, derivable from fourth formula.

travel_difference

Optical travel difference for two coherent waves. See optical_distance.

Symbol:

Lambda

Latex:

\(\Lambda\)

Dimension:

length

coordinate

Coordinate (position) in interference picture, measured from the center of symmetry.

Symbol:

x

Latex:

\(x\)

Dimension:

length

distance_between_slits

euclidean_distance between slits.

Symbol:

d

Latex:

\(d\)

Dimension:

length

distance_to_picture

euclidean_distance from slits to picture.

Symbol:

l

Latex:

\(l\)

Dimension:

length

law

Lambda = x * d / l

Latex:
\[\Lambda = \frac{x d}{l}\]