Abstract In this thesis, we have theoretically investigated the biosensing capability and silver nanoparticle. We study the optical properties of hemozoin crystal to detect malaria pigment in which proposes for the develop antenna, where sensitive malaria diagnostic tools. Silver nanoparticles have unique optical and electronic properties which make them suitable for biosensing applications. The interaction of light with silver nanoparticle produces a collective oscillation of conduction band electron known as localized surface plasmon resonance. Plasmon resonance occurs when the frequency (wavelength) of the source is equal to the target frequency. Around this peak wavelength, we can detect the presence of desired target. The optical plasmonic property of hemozoin crystal is vital to interpret their interaction with light. To simulate the extinction cross section of silver nanoparticle in the Plasmonic resonance peaks in far and near fields, Finite Difference Time Domain (FDTD) method is applied. In our investigations the optical properties of plasmon resonance peak position occur in the visible and near infrared light (400 nm to 800 nm). The hemozoin structure contains iron nitrate (FeN ), but we have modeled the crystal as pure iron (Fe), we assume that Fe crystal has a close resemblance with FeN . Using FDTD method, the Plasmonic resonance enhanced light extinctions has been determined for nanodisk shaped silver nanoparticles with radius range from 10 nm to 60 nm. The electromagnetic sources are used based on the frequency- domain field and power design, including completely customizable uniaxial- perfectly matched layer (UPML) to simulate the real open system. The maximum sensing efficiency has been noticed when the light strikes the hemozoin structure at 45 4 0 . Moreover, using the same method, we simulated hemozoin crystal. The plasmonic resonance sensing of this crystal have been occurred at the field polarized at 45 4 0 .