Optical theorem and generalized energy conservation for scattering of time-modulated waves
Abstract
Abstract We introduce and study a generalized energy conservation relation for scattering of time-modulated waves, where conventional energy conservation does not hold. Based on this relation, we derive an optical theorem and compute the active power describing the power input or output due to scattering. Notably, the same system may be subject to energy gain, energy loss, or energy conservation depending on the frequency harmonics present in the wave field. Moreover, we show how the optical theorem derived herein may be used for image reconstruction based on measurements of the power. In particular, such measurements do not require information about the phase of the scattered field.
Fields of Study & Subjects
Microwave Imaging and Scattering Analysis
Photoacoustic and Ultrasonic Imaging
Numerical methods in inverse problems
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Volume
- 59
- Issue
- 33
- Pages
- 335701–335701
- Publication date
- 29 July 2026
- Language
- EN