Abstract: A method is provided. The method includes exposing a first material disposed across a first plane on a first substrate to an ion beam to form a first plurality of structures in the first material, the ion beam directed at the first material at an ion beam angle ? relative to a surface normal of the first substrate. The first substrate is positioned at a first rotation angle ?1 between the ion beam and a first vector of the first plurality of structures, the first material is exposed to the ion beam incrementally along a first direction, and exposure of the first material to the ion beam is varied along the first direction to generate a depth variation between the first plurality of structures in the first direction.

Abstract: Embodiments described herein relate to a method of using an apparatus for forming waveguides. The method includes positioning a substrate at a first rotation angle, exposing the substrate to an ion beam, forming first partial trenches defined by adjacent angled device structures with the first device angle, rotating the substrate to a second rotation angle, exposing the substrate to the ion beam, etching the first partial trenches, and repeating the method from about 1 cycle to about 100 cycles to form a plurality of trenches defined by adjacent angled device structures. The first rotation angle is selected to form one or more angled device structures with a first device angle relative to a vector parallel to the substrate. The ion beam is configured to contact the substrate at a beam angle ? relative to a surface normal of the substrate.

Abstract: A method is provided. The method includes exposing a first material disposed across a first plane on a first substrate to an ion beam to form a first plurality of structures in the first material, the ion beam directed at the first material at an ion beam angle ? relative to a surface normal of the first substrate. The first substrate is positioned at a first rotation angle ?1 between the ion beam and a first vector of the first plurality of structures, the first material is exposed to the ion beam incrementally along a first direction, and exposure of the first material to the ion beam is varied along the first direction to generate a depth variation between the first plurality of structures in the first direction.