"""
Mixed-Precision Photonic Computing Implementation
Phase Change Material Enhanced Ring Resonators
"""
import numpy as np
from dataclasses import dataclass
from typing import Tuple, List, Dict
@dataclass
class PCMMaterial:
"""Phase Change Material properties"""
name: str
delta_n: float # Refractive index change
kc: float # Extinction coefficient
loss: float # Loss in dB/cm
levels: int # Number of distinct levels
class PhotonicTensorCore:
"""
Photonic Tensor Core with PCM-AlGaAs mem-resonators
Implements mixed-precision in-memory computing
"""
def __init__(self, size: int = 32, wavelengths: int = 32):
self.size = size
self.wavelengths = wavelengths
# PCM Materials Database
self.pcm_materials = {
'Sb2S3': PCMMaterial('Sb₂S₃', 0.54, 0.05, 0.01, 32),
'GST': PCMMaterial('Ge₂Sb₂Te₅', 2.74, 1.09, 1.0, 16),
'Sb2Se3': PCMMaterial('Sb₂Se₃', 0.76, 0.0, 0.0, 32)
}
# System parameters
self.msb_bits = 5 # PCM precision
self.lsb_bits = 8 # Electro-optic precision
self.total_bits = self.msb_bits + self.lsb_bits
# Optical parameters
self.wavelength_center = 1550e-9 # meters
self.fsr = 200e9 # Free spectral range in Hz
self.q_factor = 1.5e6
def mixed_precision_iterative_refinement(
self, A: np.ndarray, b: np.ndarray,
low_bits: int = 6, tol: float = 1e-8
) -> Tuple[np.ndarray, int, List[float]]:
"""
Mixed-precision iterative refinement algorithm
Core algorithm for photonic in-memory computing
"""
n = len(b)
A_inv = np.linalg.inv(A) # High precision, done once
x = np.zeros(n)
residuals = []
for k in range(20):
r = b - A @ x # Compute residual
residual_norm = np.linalg.norm(r)
residuals.append(residual_norm)
if residual_norm < tol:
break
# Analog correction (photonic computation)
delta = self.analog_matvec(A_inv, r, bits=low_bits)
x = x + delta
return x, k + 1, residuals
def analog_matvec(
self, A: np.ndarray, x: np.ndarray,
bits: int, noise_std: float = 0.001
) -> np.ndarray:
"""Simulate photonic tensor core operation"""
y = A @ x
y_quant = self.quantize_to_bits(y, bits)
if noise_std > 0:
noise = np.random.normal(0, noise_std, y_quant.shape)
y_quant += noise
return y_quant
def calculate_enob(self, power: float) -> float:
"""Calculate Effective Number of Bits"""
power_dbm = 10 * np.log10(power * 1000)
snr_db = power_dbm + 160 - 1.13 # RIN + insertion loss
enob = (snr_db - 1.76) / 6.02
return min(enob, self.total_bits)
# Example usage
core = PhotonicTensorCore(size=32, wavelengths=32)
results = core.benchmark_pde_solver(n_grid=64)