Related Experiment Video
Updated: Jan 22, 2026
08:39
Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
10.3K
Encoding lenses with focal lengths lower than the Nyquist limit using high phase-modulation displays
Optics Letters
|July 2, 2019
Summary
Researchers encoded shorter focal lengths onto liquid crystal displays by utilizing a large phase-dynamic range. This overcomes Nyquist limit restrictions, enabling new diffractive optical element applications.
Area of Science:
- Optics and Photonics
- Materials Science
Background:
- Liquid crystal displays (LCDs) offer a platform for creating diffractive optical elements (DOEs).
- The minimum achievable focal length of lenses is typically constrained by Nyquist conditions, limiting DOE design.
- Achieving shorter focal lengths requires overcoming these fundamental limitations.
Purpose of the Study:
- To demonstrate that focal lengths significantly below the Nyquist limit can be encoded onto LCDs.
- To investigate the role of phase-dynamic range in achieving these shorter focal lengths.
- To experimentally validate the proposed method for enhanced DOE performance.
Main Methods:
- Utilizing liquid crystal displays with a large phase-dynamic range.
- Encoding diffractive optical elements with focal lengths below the conventional Nyquist limit.
- Experimental verification using a display with 10π phase modulation.
Main Results:
- Successfully encoded focal lengths much lower than the Nyquist limit.
- Demonstrated a reduction in the effective Nyquist limit by a factor of approximately 1/10.
- Experimental results confirmed the feasibility of the approach.
Conclusions:
- Large phase-dynamic range in LCDs enables the creation of diffractive optical elements with unprecedented short focal lengths.
- This technique overcomes the limitations imposed by Nyquist conditions.
- The findings pave the way for advanced optical systems utilizing compact and versatile diffractive optics.
Related Concept Videos
01:10Interference: Path Lengths
1.9K
Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
1.9K
02:49Bond Energies and Bond Lengths
31.3K
Stable molecules exist because covalent bonds hold the atoms together. The strength of a covalent bond is measured by the energy required to break it, that is, the energy necessary to separate the bonded atoms. Separating any pair of bonded atoms requires energy — the stronger a bond, the greater the energy required to break it.
31.3K
02:27Limiting Reactant
69.5K
The relative amounts of reactants and products represented in a balanced chemical equation are often referred to as stoichiometric amounts. However, in reality, the reactants are not always present in the stoichiometric amounts indicated by the balanced equation.
69.5K
01:19Encoding
770
Information enters the brain through encoding, which is the input of information into the memory system. Once sensory information is received from the environment, the brain labels or codes it. The information is then organized with similar information and connected to existing concepts. Encoding occurs through automatic processing and effortful processing.
Automatic processing involves the encoding of details like time, space, frequency, and the meaning of words, usually done without conscious...
Automatic processing involves the encoding of details like time, space, frequency, and the meaning of words, usually done without conscious...
770
01:29The Number e as a Limit
70
The number e is a fundamental constant in calculus, playing a central role in describing continuous change, particularly exponential growth. It is most naturally defined through its relationship with the natural logarithm, which is the inverse of the exponential function with base e. This relationship allows e to be characterized using basic principles of differentiation rather than as an arbitrary numerical constant.A key property of the natural logarithm function, ln x, is that its derivative...
70
02:31Phase Transitions
22.8K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
22.8K