We present an asymmetric encryption scheme for hyperspectral images using hybrid
chaotic maps (HCMs) and an equal modulus decomposition tree (EMDT)
structure in a discrete multiple-parameter fractional Fourier
transform (dmpFrFT) domain. The original hyperspectral image was
scrambled by an HCM and then encrypted into asymmetric ciphertext
using the EMDT. In the EMDT, each pair of the band images of the
scrambled hyperspectral image were regarded as leaf nodes, while the
encryption modules using chaotic random phase mask, dmpFrFT, and
improved equal modulus decomposition were regarded as branch nodes,
and the encryption process was implemented along the paths from the
leaf nodes to the topmost branch node. The EMDT structure could
provide multiparameter encryption, real-valued output, and different
pairs of band images with different secret keys and
encryption/decryption paths. Compared with the previous optical
encryption approaches for hyperspectral images, our asymmetric
cryptosystem had larger key space, less data amount of storage and
transmission, and stronger resistance to statistical attacks. Various
numerical simulations verified the performance of our proposed
asymmetric cryptosystem.