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

Social Traps01:41

Social Traps

27.0K
Social traps are negative situations where people get caught in a direction or relationship that later proves to be unpleasant, with no easy way to back out of or avoid. The concept was orignally introduced by John Platt who applied psychology to Garrett Hardin's "Tragedy of the Commons", where in New England herd owners could let their cattle graze in the common ground. This situation seems like a good idea, but an individual could have an advantage. If they owned...
27.0K
Integration by Parts: Indefinite Integrals01:26

Integration by Parts: Indefinite Integrals

289
Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
289
Integration by Parts: Definite Integrals01:23

Integration by Parts: Definite Integrals

95
Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
95
Definite Integral01:29

Definite Integral

95
Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds to a rectangle whose width is the length of the subinterval and whose height is determined by the value of the function at a selected point within that...
95
Indefinite Integrals01:25

Indefinite Integrals

83
The water inflow rate into a storage tank is not constant but increases over time. Initially, the pump delivers water at a rate of 5 L/min. However, the inflow rate increases by 2 L/min for each additional minute due to rising pressure or system adjustments. This scenario can be described mathematically by a linear function:It is necessary to integrate the inflow rate function to measure the total volume of water added to the tank over time. The total water volume V(t) is obtained by performing...
83
Integration by Parts: Problem Solving01:29

Integration by Parts: Problem Solving

80
Smart speakers process voice commands by modeling audio inputs as piecewise functions and analyzing them through integration against trigonometric functions, such as cosine. This mathematical approach is fundamental in signal processing, where complex sound waves are decomposed into simpler frequency components.Consider a definite integral involving a piecewise function multiplied by a cosine function. Because the function is defined differently over separate intervals, the integral is split...
80

You might also read

Related Articles

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

Sort by
Same author

Dual-harmonic generation in a hybrid graphene-lithium niobate nonlinear metasurface.

Optics express·2026
Same author

Teaching with human remains: curatorship, technological innovation and ethical engagement at the Morgagni Museum of Human Anatomy.

Pathologica·2026
Same author

A case of chorea, epilepsy and cerebral atrophy in the work of Ettore Ravenna (1920s).

Pathologica·2026
Same author

Bones Like Glass: A historical forensic-pathological reassessment of a fatal infant case of osteogenesis imperfecta (Vrolik disease) from the Morgagni Museum of Padua (Italy).

Journal of forensic and legal medicine·2026
Same author

Scherlievo disease: A forgotten endemic treponematosis of the 18th-19th century Balkans.

Journal of the European Academy of Dermatology and Venereology : JEADV·2026
Same author

Engineered fano resonances in a compact Si<sub>3</sub>N<sub>4</sub> photonic crystal nanobeam-microring platform for multi-cladding environments.

Scientific reports·2026

Related Experiment Video

Updated: Feb 15, 2026

Plasmonic Trapping and Release of Nanoparticles in a Monitoring Environment
09:13

Plasmonic Trapping and Release of Nanoparticles in a Monitoring Environment

Published on: April 4, 2017

8.0K

Ultra-efficient nanoparticle trapping by integrated plasmonic dimers.

Aurore Ecarnot, Giovanni Magno, Vy Yam

    Optics Letters
    |February 6, 2018
    PubMed
    Summary
    This summary is machine-generated.

    We show that gold dimers and silicon waveguides can trap tiny 50nm nanobeads using plasmonic tweezers. The gap size and light vortices significantly influence this efficient nanobead trapping.

    More Related Videos

    Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations
    06:19

    Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations

    Published on: June 23, 2022

    3.0K
    Polycrystalline Silicon Thin-film Solar cells with Plasmonic-enhanced Light-trapping
    09:32

    Polycrystalline Silicon Thin-film Solar cells with Plasmonic-enhanced Light-trapping

    Published on: July 2, 2012

    19.3K

    Related Experiment Videos

    Last Updated: Feb 15, 2026

    Plasmonic Trapping and Release of Nanoparticles in a Monitoring Environment
    09:13

    Plasmonic Trapping and Release of Nanoparticles in a Monitoring Environment

    Published on: April 4, 2017

    8.0K
    Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations
    06:19

    Optical Trapping of Plasmonic Nanoparticles for In Situ Surface-Enhanced Raman Spectroscopy Characterizations

    Published on: June 23, 2022

    3.0K
    Polycrystalline Silicon Thin-film Solar cells with Plasmonic-enhanced Light-trapping
    09:32

    Polycrystalline Silicon Thin-film Solar cells with Plasmonic-enhanced Light-trapping

    Published on: July 2, 2012

    19.3K

    Area of Science:

    • Plasmonics
    • Nanophotonics
    • Optical Tweezers

    Background:

    • Plasmonic nanostructures offer unique light-matter interactions.
    • Optical trapping of nanoparticles is crucial for various applications.
    • Silicon-on-insulator waveguides provide a versatile platform for photonic integration.

    Purpose of the Study:

    • To numerically demonstrate efficient plasmonic tweezing of dielectric nanobeads using gold dimers coupled with silicon-on-insulator waveguides.
    • To investigate the influence of gap size on plasmonic trapping efficiency.
    • To explore the role of scattering forces and light vortices in the trapping mechanism.

    Main Methods:

    • Rigorous 3D finite difference time domain (FDTD) simulations.
    • Simplified gradient force-based calculations.
    • Analysis of plasmonic field enhancement and optical forces.

    Main Results:

    • Efficient plasmonic tweezing of dielectric nanobeads with radii down to 50 nm was achieved.
    • The gap size between gold dimers critically affects the tweezing performance.
    • Scattering forces contribute to trapping near the dimer, facilitated by light vortex formation.

    Conclusions:

    • Gold dimers coupled to silicon-on-insulator waveguides are effective for plasmonic nanobead manipulation.
    • Understanding the interplay between gap size, scattering forces, and light vortices is key to optimizing plasmonic trapping.
    • This approach holds promise for advanced nanoscale manipulation and sensing applications.