Methods, systems, devices and apparatus for laser processing of transparent or partially transparent materials by focusing laser radiation on a surface of a material workpiece or inside the material workpiece and creating elongated processed regions with variable and controlled depth using focusing optical system with air-spaced optical components, forming three or more multiple focuses along the optical axis and compensating aberrations induced while light focusing inside the material workpiece. The focusing optical system can have an aplanatic design, with lenses made from birefringent materials combined with lenses from isotropic materials, or objectives, or zoom optical system, or waveplates. Material processing effects such as material disruption or modification of material properties are produced due to the interaction of focused laser radiation with material in elongated volume processed regions and are multiple repeated along the processing path by relative motion between the material workpiece and the focusing optical system being realized with a scanning device.