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beam_spot_size_kernel

deep_causality_physics::beam

Function beam_spot_size_kernel 

Source 
pub fn beam_spot_size_kernel(
    q: ComplexBeamParameter,
    wavelength: Wavelength,
) -> Result<Length, PhysicsError>
Expand description

Extracts the beam spot size $w(z)$ from the complex beam parameter $q$.

Relation: $$ \frac{1}{q} = \frac{1}{R(z)} - i \frac{\lambda}{\pi w(z)^2} $$

Therefore: $$ w(z) = \sqrt{\frac{-\lambda}{\pi \text{Im}(1/q)}} $$

§Arguments

  • q - Complex beam parameter.
  • wavelength - Wavelength $\lambda$.

§Returns

  • Result<Length, PhysicsError> - Beam radius $w(z)$.