
Photonic crystals are periodic optical nanostructures that control the propagation of light through bandgap effects.A photonic crystal is a periodic structure with a contrast in refractive index (the ability to refract light). Alternating regions of high and low index create photonic band gaps — ranges of wavelengths that cannot propagate inside the crystal. An electronic analogy: just as band gaps in semiconductors block electrons, here they block photons. The typical lattice period is hundreds of nanometers, to match the wavelength of visible light.
The concept of periodic structures for controlling waves dates back to Lord Rayleigh (1887), but the birth of photonic crystals is dated to 1987. That year, Eli Yablonovitch (USA) published a work on the suppression of spontaneous emission in three-dimensional dielectric lattices, and Sajeev John (Canada) on the localization of light in disordered media. Their ideas quickly grew into an active field: in 1991, the first three-dimensional photonic crystal for the optical range was demonstrated, and by the late 1990s, photonic crystal fibers appeared. Today, developments are applied in optoelectronics, quantum electrodynamics, and sensors.
Maxwell's equations for a periodic medium lead to an eigenvalue problem analogous to the Schrödinger equation for electrons in a crystal. The role of the potential is played by the periodic dielectric function. Solutions yield dispersion relations ω(k) — photonic bands. In certain directions and frequency ranges, solutions are absent: these are the band gaps. For a complete band gap, it must overlap for all directions and polarizations. The Bragg condition for a one-dimensional crystal: λ = 2d n_eff / m, where d is the period, n_eff is the effective refractive index, and m is an integer. In real structures, numerical methods (plane wave, FDTD) are used to calculate the band structure. The introduction of defects — i.e., breaking the strict periodicity — creates allowed levels within the band gap, enabling the localization of light in microcavities and the formation of waveguides.
Photonic crystals make LEDs brighter and lasers more efficient. They also hide in opals and butterfly wings, creating iridescent colors.
Natural photonic crystals are found in opals and butterfly wings. Their iridescent shimmering is not a pigment, but a play of light on periodic nanostructures.
























