Related Experiment Video
Updated: Jan 24, 2026

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
Published on: July 5, 2024
Model of Steady-state Temperature Rise in Multilayer Tissues Due to Narrow-beam Millimeter-wave Radiofrequency Field
Gregory B Gajda1, Eric Lemay, Jonathan Paradis2
11Non-ionizing Radiation Physical Sciences Division, Consumer and Clinical Radiation Protection Bureau, Health Canada.
A new analytical model quantifies steady-state surface temperature rise in tissue from radiofrequency fields. This model aids in assessing localized health effects from millimeter wave exposure.
Area of Science:
- Biophysics
- Electromagnetics
- Thermal Medicine
Background:
- Assessing localized health effects from radiofrequency (RF) fields requires understanding tissue temperature rise.
- Millimeter wave (MMW) exposure poses unique challenges due to shallow penetration depth.
Purpose of the Study:
- Develop a closed-form analytical model for steady-state surface temperature rise in multilayer tissues exposed to MMWs.
- Relate temperature rise to exposure parameters like power density and beam dimensions.
- Provide a tool for assessing localized health risks.
Main Methods:
- Utilized finite-difference solutions of the Pennes bioheat transfer equation.
- Incorporated Monte Carlo techniques with statistical distributions of human tissue thicknesses.
- Validated model against analytical solutions and multiphysics simulations, achieving 1-2% agreement.
Main Results:
- Developed a four-parameter analytical model, including deterministic exposure parameters (power density, beam width) and stochastic tissue properties.
- Model demonstrates a direct relationship between exposure characteristics and surface temperature rise.
- Model is programmable in spreadsheets for practical application.
Conclusions:
- The analytical model provides an efficient method for assessing localized thermal effects from MMW exposure.
- The model can be used to evaluate safety guidelines and spatial averaging areas for RF exposure.
- This tool facilitates the assessment of health effects from localized RF field exposures.
Related Concept Videos
Distribution of Stresses in a Narrow Rectangular Beam
Rise of Liquid in a Capillary Tube
The Wave Nature of Light
Steady State Concentration
Most drugs are administered in repeated doses at fixed intervals or through continuous...
Steady Flow of a Fluid Stream
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Beams
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...

