Related Experiment Video
Updated: Jun 16, 2026

11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
The normal emittance of circular cylindrical cavities
Applied Optics
|January 23, 2010
Summary
This study analyzes the normal emittance of cylindrical cavities, finding receiver distance significantly impacts results. Normal emittance surpasses hemispherical emittance for deep cavities (depth-to-radius ratio > 1).
Area of Science:
- Thermal Radiation
- Optical Physics
- Cavity Radiometry
Background:
- Understanding cavity emittance is crucial for accurate thermal radiation measurements.
- Cylindrical cavities are common geometries in scientific and industrial applications.
Purpose of the Study:
- To analytically determine the normal emittance of diffusely emitting and reflecting cylindrical cavities.
- To investigate the influence of receiver parameters on normal emittance measurements.
Main Methods:
- Analysis of radiant energy received from cavity openings.
- Consideration of cavity geometry (depth-to-radius ratio) and surface emittance.
- Evaluation of receiver size and location effects.
Main Results:
- Receiver distance significantly affects normal emittance measurements.
- Receiver size has a minor influence on normal emittance.
- Normal emittance exceeds hemispherical emittance for cavities with depth-to-radius ratios greater than unity.
Conclusions:
- Accurate positioning of the receiver is critical for precise normal emittance determination.
- Cavity geometry plays a key role in the relationship between normal and hemispherical emittance.
Related Concept Videos
Gauss's Law: Cylindrical Symmetry
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Steady, Laminar Flow in Circular Tubes
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
Inductance: Solid Cylindrical Conductor
To calculate the inductance of a solid cylindrical conductor, consider a 1-meter section of a non-magnetic, current-carrying conductor with radius r. Disregarding end effects and assuming uniform current density, Ampere's law helps determine the magnetic field inside the conductor. This law states that the magnetic field intensity H is concentric and constant within the conductor.
Given the uniform current distribution, the magnetic field Hx and flux density Bx inside the conductor are...
Given the uniform current distribution, the magnetic field Hx and flux density Bx inside the conductor are...
Spherical and Cylindrical Capacitor
A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field, calculated by...
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field, calculated by...
Magnetostatic Boundary Conditions
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

