Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The de Broglie Wavelength02:32

The de Broglie Wavelength

33.7K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
33.7K
Limiting Reactant02:27

Limiting Reactant

70.2K
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.
70.2K
The Number e as a Limit01:29

The Number e as a Limit

96
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...
96
Types of Limits I01:23

Types of Limits I

201
Limits are a key mathematical concept for understanding how functions behave as their input approaches specific values, particularly when the function is undefined. They help reveal trends and discontinuities by examining the values a function approaches rather than its actual value.One-sided limits focus on the direction from which a value is approached. When a function behaves differently depending on whether the input approaches from the left or the right, the two one-sided limits may not...
201
Limit Laws I01:25

Limit Laws I

228
Limit laws provide essential tools for analyzing how functions behave as their input approaches a specific value. These laws are particularly useful when dealing with combinations of functions, provided the individual limits exist. The Sum and Difference Laws state that the limit of the sum or difference of two functions equals the sum or difference of their respective limits:The Product Law asserts that the limit of the product of two functions equals the product of their individual limits:A...
228
Limits at Infinity01:24

Limits at Infinity

328
The function that decreases as the input becomes very large provides a clear example of how mathematical functions can behave at extreme values. When the input increases continuously, the output becomes smaller and smaller, getting closer to a particular fixed value. Although the output never actually reaches this value, it moves nearer to it without limit. This behavior is a fundamental concept in understanding how functions behave as the input grows indefinitely. The graphical representation...
328

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Clinical Prognostic Modeling and Paired Blood-CSF Metabolomic Profiling for Outcome Prediction in Isolated Moderate-to-Severe Traumatic Brain Injury: Implications for Neurocritical Care Management.

Journal of clinical medicine·2026
Same author

Targeting arginine metabolism overcomes chemotherapy resistance in aggressive-variant prostate cancers.

iScience·2026
Same author

Systematic analysis of hippo pathway signaling identifies TEAD1 as a transcriptional regulator of neuroendocrine prostate cancer.

Neoplasia (New York, N.Y.)·2026
Same author

Short-term exposure to outdoor air pollution significantly associated with severity of acute ischaemic stroke: evidence from the 4S registry.

Stroke and vascular neurology·2026
Same author

Real-time nanomolar vitamin monitoring in sweat using an electrochemical skin-attached device.

Nature communications·2026
Same author

PARP Inhibition in Prostate Cancer: Current Status, Resistance Mechanisms, and Clinical Challenges.

Cells·2026

Related Experiment Video

Updated: Feb 9, 2026

Design and Synthesis of a Reconfigurable DNA Accordion Rack
07:44

Design and Synthesis of a Reconfigurable DNA Accordion Rack

Published on: August 15, 2018

7.5K

Wavelength-limited optical accordion.

Junheng Tao, Yuzhuo Wang, Yizun He

    Optics Express
    |June 8, 2018
    PubMed
    Summary

    Researchers developed a novel method for dynamic optical lattices with tunable lattice constants. This technique allows for precise control, reaching down to the optical wavelength limit for advanced quantum gas experiments.

    Area of Science:

    • Atomic, Molecular, and Optical Physics
    • Quantum Optics
    • Nanotechnology

    Background:

    • Optical lattices are crucial for quantum simulations and atom manipulation.
    • Existing methods often have limitations in tunability and dynamic control.
    • Precise control over lattice parameters is essential for advanced quantum gas experiments.

    Purpose of the Study:

    • To demonstrate a new method for creating dynamic optical lattices.
    • To achieve tunable lattice constants down to the optical wavelength limit.
    • To explore extensions for improved vibration suppression and broadband laser utilization.

    Main Methods:

    • Utilizing two interfering laser beams with adjustable angles to control lattice periodicity.
    • Employing a heterodyne phase-lock loop for stable relative phase control between lasers.

    More Related Videos

    Three-dimensional Optical-resolution Photoacoustic Microscopy
    08:31

    Three-dimensional Optical-resolution Photoacoustic Microscopy

    Published on: May 3, 2011

    18.9K
    Using Mycobacterium smegmatis as a Bioindicator for Zinc-Limited Growth Conditions in Mycobacteria
    08:24

    Using Mycobacterium smegmatis as a Bioindicator for Zinc-Limited Growth Conditions in Mycobacteria

    Published on: September 20, 2024

    899

    Related Experiment Videos

    Last Updated: Feb 9, 2026

    Design and Synthesis of a Reconfigurable DNA Accordion Rack
    07:44

    Design and Synthesis of a Reconfigurable DNA Accordion Rack

    Published on: August 15, 2018

    7.5K
    Three-dimensional Optical-resolution Photoacoustic Microscopy
    08:31

    Three-dimensional Optical-resolution Photoacoustic Microscopy

    Published on: May 3, 2011

    18.9K
    Using Mycobacterium smegmatis as a Bioindicator for Zinc-Limited Growth Conditions in Mycobacteria
    08:24

    Using Mycobacterium smegmatis as a Bioindicator for Zinc-Limited Growth Conditions in Mycobacteria

    Published on: September 20, 2024

    899
  • Demonstrating lattice constant tuning by rotating the direction of one laser beam.

    • Main Results:

    • Successfully tuned the lattice constant (λ/2sinθ) between θ = 3° and 20°.
    • Achieved stable and tunable phase control in the optical lattice.
    • Preliminary results indicate potential for lattice constants ranging from ~10λ down to λ/2.

    Conclusions:

    • The demonstrated method offers a novel approach to dynamic optical lattice generation.
    • The technique provides precise tunability of lattice constants, approaching the optical wavelength limit.
    • Future work includes 2D accordion lattice designs and applications with broadband lasers for quantum gas research.