A new time-dependent analytic compact model for radiation-induced photocurrent in epitaxial structures

Development of data‐driven exponential integrators with application to modeling of delay photocurrents

“…This model also tends to overestimates the photocurrent because it neglects the effects of ohmic contacts at a finite distance from the depletion region [4]. Likewise, the calibration of Fjeldly [22] is sensitive to the duration of the radiation pulse and can break down when the pulse width is changed [6].…”

“…More advanced compact analytic models have been developed in References [4,6,23,24] by changing to Slotboom-like variables [25], which transform (2) into an inhomogeneous heat equation that can be solved by Fourier transform techniques. Although the resulting models are more general, they are usually given in terms of an infinite integral series that must be approximated numerically.…”

“…To set up an overdetermined linear system for these coefficients we first write the discrete Galerkin problem (6) in terms of M, K, and N as…”

“…Such simulations require the development of accurate and efficient compact photocurrent models. Majority of the existing such models are based on approximate analytic solutions to the semiconductor transport equations; see, for example, References [3][4][5][6][7] and the references therein for representative examples. Because these equations are generally not solvable in closed form, compact analytic models invoke empirical assumptions and/or physical idealizations that render the governing equations amenable to analytic solution techniques.…”