Is this project an undergraduate, graduate, or faculty project?
Undergraduate
Project Type
group
Campus
Daytona Beach
Authors' Class Standing
Eliane Dean, Sophomore Riley Esperanca, Hailey Grabinski, Aashman Gupta, Sophomore Jacob Summerhays, Ameya Sute
Lead Presenter's Name
Aashman Gupta
Lead Presenter's College
DB College of Engineering
Faculty Mentor Name
Dr. Hemanta Kunwar
Abstract
Electromagnetic field behaviours in free space are defined by Maxwell’s Equations, which couple the temporal and spatial variations of electric and magnetic fields through partial derivatives. These derivatives quantify the rate of change of each field’s vector component with respect to position and time in a 3D lattice, forming the basis for numerical field analysis. This research will develop a mathematical and computational framework using multivariable calculus to model, simulate, and visualize electromagnetic wave propagation in free space using MATLAB. Gradient, divergence, and curl operations are implemented to compute local field variations and energy transfer. The resulting data are used to generate 3D plots that represent the propagation of electromagnetic waves and the coupling between electric and magnetic components. By integrating partial differentiation into simulation, this study demonstrates how calculus enables precise modelling and visualisation of dynamic field interactions, supporting validation of Maxwell’s equations and providing insights applicable to spacecraft communication, sensor optimization, and electromagnetic system design.
Did this research project receive funding support (Spark, SURF, Research Abroad, Student Internal Grants, Collaborative, Climbing, or Ignite Grants) from the Office of Undergraduate Research?
No
Visualizing the Invisible: Simulating Electromagnetic Field in 3D Space with MATLAB
Electromagnetic field behaviours in free space are defined by Maxwell’s Equations, which couple the temporal and spatial variations of electric and magnetic fields through partial derivatives. These derivatives quantify the rate of change of each field’s vector component with respect to position and time in a 3D lattice, forming the basis for numerical field analysis. This research will develop a mathematical and computational framework using multivariable calculus to model, simulate, and visualize electromagnetic wave propagation in free space using MATLAB. Gradient, divergence, and curl operations are implemented to compute local field variations and energy transfer. The resulting data are used to generate 3D plots that represent the propagation of electromagnetic waves and the coupling between electric and magnetic components. By integrating partial differentiation into simulation, this study demonstrates how calculus enables precise modelling and visualisation of dynamic field interactions, supporting validation of Maxwell’s equations and providing insights applicable to spacecraft communication, sensor optimization, and electromagnetic system design.