## 1 Introduction  
The explosion of information has brought the development of the information society, which has also brought threats to information security. As the mainstream information carrier, the security of images is faced with many challenges and threats. The security of an image can be achieved through traditional mathematical and non-traditional methods. Because digital images have the characteristics of strong pixel correlation, large data capacity and high redundancy, images are more suitable to be encrypted by non-traditional cryptographic algorithms, such as optical [1] and chaotic mapping [2]. Because of its ability to arbitrarily select optical parameters, such as amplitude, phase, polarization and wavelength, to construct multidimensional data in different ways, as well as the inherently high parallel processing speed, optical information encryption technology has an important potential for secure applications of increased security for information [3, 4]. Since the double random phase encoding (DRPE) system was first proposed by [PERSON] and [PERSON] in 1995 [1], optical encryption opened up a new era of information security and promoted the development of cryptography. Optics were greatly developed in various transform domains, such as the fractional Fourier domain, discrete cosine transform domains and the Gyrator domain [5, 6, 7, 8, 9, 10, 11], besides, a variety of optical processing systems using random phase coding schemes were proposed to protect, store and decrypt information [12, 13, 14, 15, 16, 17, 18]. The optical techniques mentioned above [2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 17; 18] are usually applied to single image coding and are perfectly suitable for grayscale and color images. Compared with single band and few bands, hyperspectral images have more bands. The information of the image is stored in each band, and the different bands are closely related. This puts forward higher requirements for the confidentiality of the hyperspectral images. It needs not only to keep a single image confidential, but also to pay attention to the relationship between the bands. Some problems may occur when the single image encryption method is directly used in hyperspectral image encryption. For hyperspectral images with multiple bands, the same encryption method and key parameters are used repeatedly, which is equivalent to providing the corresponding ciphertext of different plaintext. This means that the attacker will be provided with a lot of known plaintext attack materials [19; 20], which is a great threat to the encryption system. Because hyperspectral images are applicable to many scenarios, especially in the field of remote sensing, hyperspectral image encryption has attracted attention at home and abroad. In recent decades, based on the sensitivity of the optical parameters, many researchers have proposed the technology of optical multiplexing to realize optical multiple image coding [21; 22; 23; 24; 25; 26]. However, these multi-image encryption techniques based on multiplexing strategies are severely limited by optical calibration problems and the limited number of secret images that need to be hidden. The application of chaos can help disrupt the connections between the pixels in an hyperspectral image. For example, [PERSON] presents an optical hyperspectral image cryptosystem using improved Chirikov mapping in the gyrator transform domains [27]. The improved Chirikov mapping can help the optical encryption scheme to simultaneously hide the spatial and spectrum information. However, the original hyperspectral image needs to be converted into a binary format and then extended into a one dimensional array, which will be a waste of time. Chaotic/hyperchaotic systems have been studied deeply in the field of hyperspectral image encryption, due to their high randomness, sensitivity of parameters and speed of multi-dimensional parallel processing.