Simulation of Special Light Field Phases and Special Light Field Intensity Distribution Arrays

Simulating special light field phases and intensity distribution arrays represents a crucial research direction in optics and photonics. Through phase manipulation, researchers can precisely design wavefront shapes to generate specialized optical fields such as vortex beams, Bessel beams, or Airy beams. These optical fields find wide applications in optical manipulation, microscopic imaging, and communication technologies. In phase simulation, spatial light modulators (SLM) or diffractive optical elements (DOE) are typically employed to modulate the phase distribution of incident light and generate target optical fields. Phase modulation functions can be custom-designed according to specific requirements - for instance, spiral phase patterns for generating vortex beams or parabolic phase profiles for creating Bessel beams. In programming implementations, these phase patterns are often generated using mathematical functions like atan2(y,x) for vortex phases or quadratic phase masks using (x^2 + y^2) terms. Intensity distribution arrays involve multi-beam interference or diffraction superposition. By computing the complex amplitude superposition of optical fields, specific pattern intensity distributions can be generated. This technique is commonly used in optical tweezers, laser processing, and holographic displays. Numerical simulations typically employ angular spectrum propagation or Fourier optics methods, combined with Fast Fourier Transform (FFT) algorithms to efficiently calculate light propagation processes. Code implementations often utilize FFT-based propagation kernels that handle complex field transformations between spatial and frequency domains. Through optimization of phase and intensity distributions, complex optical field control can be achieved, providing more flexible design approaches for modern optical applications. Optimization algorithms may include iterative Fourier transform algorithms (IFTA) or genetic algorithms for phase retrieval and pattern optimization.