Optical waveguide-based biomaterial sensors are currently of major interest because they are able to detect objects accurately without affecting the object being observed. It has more advantages, such as it allows the detector design to be made in a small compact form, can be monitored remotely, and was able to be processed in real-time. These advantages make it an excellent platform to be used as an element sensing tool in future biomedical equipment. Biomaterial optical sensors are usually used to detect biomaterials with a refractive index and a certain absorption value. The advantage of the sensor in the form of a curved geometry provides additional critical parameters that will increase detection sensitivity and resolution. Apart from the refractive indices of optical waveguide core and cladding structure, another parameter that determines the design of a critical sensitive optical sensor is the curvature value of the optical waveguide sensor. In this paper, the parameter requirements during normal guidance and critical leaking were analyzed. A laser wavelength of 1550 nm and optical waveguide material based on silica dioxide were used. The output of this research is a combination of mathematical derivation based on self-consistency conditions of two-dimensional dielectric optical waveguide with waveguide curvature analysis, which results in the complete requirement formula for Curved Geometry Optical Waveguide biomaterial sensors. This proposed technique can be used to optimize optical waveguide sensor design to achieve a better refractive index sensitivity for biomaterial detection in curve structure.