Lens
Theory
The solution is
Approximations
Thin lens approximation
Constructor
Jolab.Lens
— MethodLens(T, f, na, ref)
Initializes a multilayer structure.
T
number type specifing data precision. Ex:Float32
,BigFloat
, ... The default is Float64;f
- defines the lens focal length in meters. A function or interpolation object can be used to describe a focal length wavelength dependent.na
- defines the lens numerical aperture. A function or interpolation object can be used to describe a focal length wavelength dependent.ref
-ReferenceFrame
specifying the lens position and orientation. The focal planes are located at the plus and minus the focal length.
Examples:
lens = Lens(10E-3, 0.5, ReferenceFrame(0,0,0,0,0))
f(λ) = 10E-3 * λ
na(λ) = .1 * λ
lens = Lens(f, na, ReferenceFrame(0,0,0,0,0))
Implementation
Missing docstring for lightinteraction(::Lens, ::FieldAngularSpectrumScalar)
. Check Documenter's build log for details.
Jolab.coefficient_general
— Method(field_back, field_forward)= coefficient_general(lens, angspe)
Calculates the field after propagating through the lens assuming the incident field direction of propagation. The model propagates from a focal plane to the other focal plane. The order is based on the light direction of propagation.
- Type: Transmission matrices is diagonal. No reflection matrix is computed (the model does not assume light reflection by the lens)
- Time: very short; scales with
length(angspe.nsx_X) length(angspe.nsy_Y)
- RAM: very small; scales with
length(angspe.nsx_X)
length(angspe.nsy_Y)
- Convergence: sampling of
angspe.nsx_X
andangspe.nsy_Y
Applications
Example of systems studied with similar models:
Reference
If you use this model, please cite: Marques, Dylan M., et al. "Modelling fabry-pérot etalons illuminated by focussed beams." Optics express 28.5 (2020): 7691-7706.
Additional reading:
- Goodman, Joseph W. Introduction to Fourier optics. Roberts and Company Publishers, 2005.
- Wolf, Emil. "Electromagnetic diffraction in optical systems-I. An integral representation of the image field." Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 253.1274 (1959): 349-357.
- Richards, Bernard, and Emil Wolf. "Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system." Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 253.1274 (1959): 358-379.
- Novotny, Lukas, and Bert Hecht. Principles of nano-optics. Cambridge university press, 2012.