Related Experiment Video
Updated: Mar 3, 2026

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
22.6K
Experimental generation of complex optical fields for diffraction limited optical focus with purely transverse spin
Optics Express
|April 26, 2017
Summary
We present a novel method for generating complex optical fields for highly focused beams using transverse spin angular momentum. This technique, validated by vectorial diffraction theory, enables precise control over light polarization and intensity.
Area of Science:
- Optics and Photonics
- Electromagnetism
- Microscopy
Background:
- Generating complex optical fields is crucial for advanced applications in microscopy and nanophotonics.
- Controlling the spin angular momentum of light enables novel focusing capabilities.
Purpose of the Study:
- To demonstrate a method for generating complex optical fields at the pupil plane of a high numerical aperture (NA) objective lens.
- To achieve diffraction-limited optical focus with purely transverse spin angular momentum.
Main Methods:
- Analytically deducing complex optical fields by reversing radiated patterns from two phase-shifted electric dipoles (oscillating in x and z directions).
- Experimentally creating the derived fields using a vectorial optical field generator.
- Applying Richard-Wolf vectorial diffraction theory to calculate electric fields and analyze focal region characteristics.
Main Results:
- The proposed method successfully generates complex optical fields with transverse spin angular momentum.
- Calculated intensities and polarization distributions validate the theoretical predictions.
- Experimental results confirm the validity of the technique for creating tightly focused beams.
Conclusions:
- The demonstrated technique provides a robust method for generating tailored optical fields for precise focusing.
- This approach has significant implications for super-resolution imaging and optical manipulation.
More Related Videos
Related Concept Videos
Spin–Spin Coupling Constant: Overview
1.6K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.6K
Atomic Nuclei: Nuclear Relaxation Processes
1.3K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
1.3K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
1.9K
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
1.9K
Conservation of Angular Momentum: Application
12.4K
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a...
12.4K
Atomic Nuclei: Nuclear Spin State Overview
2.1K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
2.1K
Conservation of Angular Momentum
16.4K
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
16.4K

