Yes. Eisenstaedt is probably one of the very very best photographers of the "candid photography". Life as it is. The usual way is the natural, local lighting. And, in fact, nothing more is necessary.
Eisenstaedt was particularly skilled in the use of the 35-mm Leica camera. His work, often created in this format, had appeared in many European picture magazines by the early 1930s...
No. The computer light is not a natural light. Computer lighting contains certain chemicals that produce light due to a previous absorption of electromagnetic radiation of a different wavelength....