Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Estimation of the Physical Quantities

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...

Gauss's Law: Spherical Symmetry

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...

Ostwald’s Dilution Law

Ostwald’s Dilution Law

Consider a binary electrolyte AB with a concentration ‘c’ that reversibly dissociates into its constituent ions. The degree of this dissociation is represented by ⍺. This means that the equilibrium concentration of each ionic species can be expressed as ⍺c. As well as this, the fraction of the electrolyte that remains undissociated at equilibrium is given by (1−⍺). The corresponding equilibrium concentration for this undissociated portion is then calculated as (1−⍺)c. For such solutions,...

Gravitation Between Spherically Symmetric Masses

Gravitation Between Spherically Symmetric Masses

The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.

Schwarzschild Radius and Event Horizon

Schwarzschild Radius and Event Horizon

No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely high gravitational fields.
The minimum speed required to launch a projectile from the surface of an object to which it is gravitationally bound so that it eventually escapes the object’s gravitational field is called the escape velocity. The escape velocity is independent of the mass of the object. Merging the idea of escape velocity with the...

Maxwell-Boltzmann Distribution: Problem Solving

Maxwell-Boltzmann Distribution: Problem Solving

Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by

You might also read

Related Articles

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

Sort by

Same author

The effect of direction of force to the craniofacial skeleton on the severity of brain injury in patients with a fronto-basal fracture.

International journal of oral and maxillofacial surgery·2016

Same author

Applied anatomy of the anterior cranial fossa: what can fracture patterns tell us?

International journal of oral and maxillofacial surgery·2015

Same author

Approximations of polydispersed extinction.

Applied optics·2010

Same author

Approximations to extinction from randomly oriented circular and elliptical cylinders.

Applied optics·2010

Same author

Analytic approximation to randomly oriented spheroid extinction.

Applied optics·2010

Same author

Bridging the gap between the Rayleigh and Thomson limits for spheres and spheroids.

Applied optics·2010

Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026

Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026

Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026

Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026

Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026

Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 10, 2026

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production

Published on: March 27, 2017

Approximation to extinction efficiency for randomly oriented spheroids.

G R Fournier, B T Evans

|August 12, 2010

Summary

This summary is machine-generated.

A new approximation for light extinction efficiency in spheroids offers a 10,000x speedup. This method accurately models various particle sizes and refractive indices, validating its broad applicability in scattering calculations.

More Related Videos

Exploring Mitochondrial Energy Metabolism of Single 3D Microtissue Spheroids Using Extracellular Flux Analysis

Exploring Mitochondrial Energy Metabolism of Single 3D Microtissue Spheroids Using Extracellular Flux Analysis

Published on: February 3, 2022

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Related Experiment Videos

Last Updated: Jun 10, 2026

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production

Published on: March 27, 2017

Exploring Mitochondrial Energy Metabolism of Single 3D Microtissue Spheroids Using Extracellular Flux Analysis

Exploring Mitochondrial Energy Metabolism of Single 3D Microtissue Spheroids Using Extracellular Flux Analysis

Published on: February 3, 2022

Scattering And Absorption of Light in Planetary Regoliths

Scattering And Absorption of Light in Planetary Regoliths

Published on: July 1, 2019

Area of Science:

Light scattering and radiative transfer
Computational physics and optics
Atmospheric and aerosol science

Background:

Accurate calculation of extinction efficiency (Q(ext)) for spheroids is crucial for understanding light interaction with matter.
Existing methods like the extended boundary condition (EBC) or T-matrix methods are computationally intensive.
A need exists for faster, yet accurate, approximations for Q(ext) in diverse applications.

Purpose of the Study:

To develop and validate a semiempirical approximation for the extinction efficiency of randomly oriented spheroids.
To significantly accelerate the computation of Q(ext) compared to established numerical methods.
To assess the accuracy and limitations of the proposed approximation across various physical parameters.

Main Methods:

Extension of the anomalous diffraction formula to approximate Q(ext) for spheroids.
Comparison of the approximation with results from the extended boundary condition (EBC) method and the T-matrix method.
Verification of the approximation for a range of complex refractive indices (1.01 ≤ n ≤ 2.00, 0 ≤ k ≤ 1) and aspect ratios (0.5 to 4).

Main Results:

The proposed semiempirical approximation provides a computational speedup exceeding 10^4 times over previous methods.
The approximation demonstrates good agreement with EBC and T-matrix methods for the tested ranges of refractive indices and aspect ratios.
The formula exhibits correct asymptotic behavior in both the Rayleigh scattering and large particle limits.

Conclusions:

The developed semiempirical approximation offers a computationally efficient and accurate alternative for calculating spheroid extinction efficiency.
The approximation is believed to be uniformly valid across all size parameters and aspect ratios.
This advancement facilitates faster and more extensive studies in fields reliant on light scattering by non-spherical particles.