**9. Specific absorption rate calculations**

The estimation of the temperature distribution of any tumor embedded in a tissue exposed to a light source is quite complicated due to the nature and the location of tissues. In the present study, the time of reaching the temperature to be fair enough for destroying the diseased cells is estimated through the calculation of SAR.

### **9.1 Specific absorption rate at 532 nm for single nano-antenna**

The optimized single NA working at resonance wavelength 532 nm is located at different distances from the tissue (100, 200, 300 and 400) nm to calculate the SAR for each as illustrated in **Figure 4a**–**d**. The point SAR inside the proposed tissue are (1.83 × 1011, 1.19 × 1011, 8.22 × 1010, and 4.72 × 1010) W/kg for distances (100, 200, 300 and 400) nm respectively. It is observed clearly that the SAR reduces with increases the distance because the reduction of the strength of the receiving far-field. The field is concentrated in the center of the tumor which means that the surrounding tissues are not affected by the field.

The behavior of SAR related to the distance from the proposed tissue at the wavelength of 532 nm for single NAs is shown in **Figure 5**. The SAR is increased with closer distance and the maximum value of SAR is detected for single unit.

**Figure 3.** *The final pattern of bowtie nano-antenna in front of the designed tissue.*
