This study presents a sustainable digital transformation framework to integrate sustainable practices into digital transformation initiatives within Small and Medium Enterprises (SMEs). The methodology includes a literature review, a framework creation, and a case study with passive participation. The framework was structured to help industries implement responsible digitalization initiatives in five key stages: setting objectives, fostering stakeholder-focused engagement, defining sustainable objectives and dimensions, creating a sustainable model, and executing the project. Validating the proposal in the context of an SME allowed us to discern the tangible benefits of sustainability practices for the organization, further reinforcing the relevance and applicability of the framework. In conclusion, this research offers valuable information for SMEs considering starting a sustainable digitalization process.

Calculations of the second-harmonic susceptibility tensor ${\chi }^{abc}\left(-2\omega ;\omega ,\omega \right)$ are presented for bulk semiconductors within both the $\mathbf{v}\cdot \mathbf{A}$ and the $\mathbf{r}\cdot \mathbf{E}$ gauges. The description of the semiconductor states incorporates the “scissors” Hamiltonian commonly used to obtain the correct band gap. The nonlocality of the scissors correction leads to terms in ${\chi }^{abc}\left(-2\omega ;\omega ,\omega \right)$ not considered before within a sum-over-states approach to the $\mathbf{v}\cdot \mathbf{A}$ gauge. Using this expression, we show that the results of the two gauges give the same result for ${\chi }^{abc}\left(-2\omega ;\omega ,\omega \right)$, within very good numerical accuracy. As part of the derivation, we clarify the well-known result for the linear optical response which states that the scissors correction rigidly shifts the spectrum along the energy axis, keeping the line-shape intact. The calculation is presented for GaAs using an all-electron scheme and a pseudopotential scheme.

We propose and demonstrate a new type of metalenses that are phase compensated by gradient index (GRIN) or inhomogeneous permittivity metamaterials. Both elliptically and hyperbolically dispersive GRIN metalenses for both internal and external focusing are studied. The requirements for the GRIN metalenses and the light focusing characteristics are analyzed and numerically verified. The GRIN metalenses can achieve super resolution and have ordinary or extraordinary Fourier transform functions, thus enabling exotic applications.

We have studied the magnetic reversal and thermal stability of [Co(0.3 nm)/Pd(0.7 nm)]_N multilayers patterned into 35-nm-diameter nanodot arrays. The short-time coercive fields are relatively constant with N while the room-temperature thermal stability parameter increases nearly linearly with N. However the magnetic switching volume extracted from the thermal stability is significantly less than the physical volume of the samples. The experimental results are in quantitative agreement with micromagnetic modeling, which indicates that reversal and thermal stability is controlled by nucleation and propagation of edge domains.

The feasibility of using high-performance desktop and embedded mobile computational platforms is presented, including multi-core Intel central processing unit, Nvidia desktop graphics processing units, and Nvidia Jetson TK1 Platform. FastMag finite element method-based micromagnetic simulator is used as a testbed, showing high efficiency on all the platforms. Optimization aspects of improving the performance of the mobile systems are discussed. The high performance, low cost, low power consumption, and rapid performance increase of the embedded mobile systems make them a promising candidate for micromagnetic simulations. Such architectures can be used as standalone systems or can be built as low-power computing clusters.