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Optical Kerr nonlinear material for expressing the trigonometric ratios of compound angles

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Abstract

An innovative all-optical device is proposed to effectively express the trigonometric ratios of compound angles based on the fascinating intensity dependent changes of refractive index of a nonlinear material. The device has profound applications in numerous domains of research, such as astronomy, oceanography, seismology, civil engineering, electronics, phonetics, medical imaging, and the development of computer music. Optical switch and optical Ternary Encoder play major role in this proposed device. To effectively execute this process, a single constant light source with a standardized intensity level ‘I’ has been strategically utilized, alongside multiple constant light sources, a beam combiner, and a beam splitter. In this scheme, different value of angles is represented by the different value of standard intensity level to express the trigonometric ratios of compound angles. Furthermore, in the proposed design, the output expression of the trigonometric ratios of compound angles are illustrated as the sum or subtraction of two outputs (2-bit ternary form) of two number of optical Ternary Encoders. As the proposed scheme is fully optical in nature, so this device can be employed in optical computation as well as photonic application.

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Authors and Affiliations

  1. Department of Physics, Jadavpur University, Kolkata, W.B., 700032, India

    Apurba Guchhait & Nabin baran Manik

  2. Department of Physics, Vivekananda College, Thakurpukur, Kolkata, W.B., 700063, India

    Nirmalya Pahari

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  1. Apurba Guchhait
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Correspondence to Apurba Guchhait.

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Guchhait, A., Pahari, N. & Manik, N.b. Optical Kerr nonlinear material for expressing the trigonometric ratios of compound angles. J Opt 53, 892–905 (2024). https://doi.org/10.1007/s12596-023-01245-3

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